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On the $AdS_5\times S^5$ Solution of Superstring Field Theory

T0 review · 3 major / 4 minor · reviewed 2026-08-06 · deepseek-v4-flash

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Pith's one-line read The classical equations of type IIB superstring field theory admit a solution, built from RR 5-form, metric, dilaton and auxiliary profiles, that reproduces the AdS5×S5 supergravity background through third order in the 1/R expansion.

desk verdict First explicit perturbative SFT construction of AdS5×S5, carried to third order with honest caveats; central claim holds up, but ansatz completeness and the fit-then-check structure deserve scrutiny. read the letter →

arxiv 2507.12921 v1 pith:66ZY6DE5 submitted 2025-07-17 hep-th

Minjae Cho , João Gomide , Jaroslav Scheinpflug , Xi Yin This is my paper
classification hep-th PACS 11.25.-w11.25.Sq
keywords AdS5×S5closedsuperstringfieldtheoryRamond-Ramondfluxflat-vertexframeL∞bracketspp-wavelimitsuper-isometryRRaxion
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper tries to establish that the curved $\mathrm{AdS}_5\times S^5$ background of type IIB string theory can be built order by order as a classical solution of closed superstring field theory whose starting point is flat ten-dimensional Minkowski space. Working in the flat-vertex frame (the string field frame defined by the asymmetric flat vertices) and expanding in the inverse AdS radius $1/R$, the authors take the massless string field to be a slowly varying combination of the Ramond-Ramond 5-form, the NSNS metric, the ghost dilaton, and an auxiliary vector, and they solve the equation of motion $Q\Psi+\sum_{n\ge 2}\frac{1}{n!}[\Psi^{\otimes n}]=0$ through third order. The claim matters because it supplies a first-principles description of strings in a Ramond-Ramond background, where a local worldsheet CFT description is unavailable, and because the computed profiles match the supergravity $\mathrm{AdS}_5\times S^5$ solution: flux $(i/R)(1-X^2/4R^2+\cdots)\gamma^{01234}$, metric fluctuation $-(X_aX_b-X_iX_j)/R^2$, and a constant physical dilaton. The solution is shown to preserve the 32 super-isometries and $\mathrm{SO}(5)\times\mathrm{SO}(5)$ through second order; the massless RR axion is identified in the linearized spectrum; an all-order solution is given in the pp-wave limit; and the surviving obstructions to an all-order solution are localized at orders $n\equiv 3\bmod 4$ and $n\equiv 0\bmod 4$.

What carries the argument

The load-bearing mechanism is the $L_\infty$ structure of closed superstring field theory: the equation of motion is $Q\Psi+\sum_{n\ge 2}\frac{1}{n!}[\Psi^{\otimes n}]=0$ with graded-symmetric string brackets $[\Psi^{\otimes n}]$, computed here in the flat-vertex frame built from the asymmetric flat string vertices. To make the equations tractable, the string field is split into a massless part $\psi=P\Psi$, with $P$ projecting onto the subspace on which $L_0^+$ is nilpotent, and a massive part solved in Siegel gauge by $b_0^+/L_0^+$, producing the massless effective brackets of (2.21). Existence of the $\mathrm{AdS}_5\times S^5$ solution is then recast as a $Q$-cohomology problem: the sources in the background equation and in the super-isometry equations must be simultaneously $Q$-exact, with potential obstructions parametrized by a constant spinor $\chi$ (failure of the dilatino variation to vanish) and a divergenceless 2-form-spinor $\Omega$ (integrability of the gravitino variation). The discrete symmetries - worldsheet parity, orientifold parity, and the $\mathbb{Z}_4$ swap of $\mathrm{AdS}_5$ with $S^5$ - restrict the surviving obstructions to orders $n\equiv 3\bmod 4$ and $n\equiv 0\bmod 4$, and it is the restriction to the $\mathrm{SO}(5)\times\mathrm{SO}(5)$ plus 32 supercharge subalgebra that keeps those obstructions in place.

What would settle it

Extend the computation to fourth order: solve $Q\psi^{(4)}=-[\psi^{(1)}\otimes\psi^{(3)}]'-\tfrac{1}{2}[\psi^{(2)}\otimes\psi^{(2)}]'$ with the flat 2-, 3-, and 4-brackets; the central claim collapses if the source is not $Q$-exact within the massless ansatz while full $PSU(2,2|4)$ invariance is imposed, or if the resulting Taylor coefficients at $O(R^{-4})$ deviate from the supergravity expansion (C.12)-(C.13). A cheaper check is to evaluate the third-order obstruction $\bar{\chi}^{(3)}$ with the full super-isometry algebra: a nonvanishing invariant spinor would falsify the expectation that the $n\equiv 3\bmod 4$ obstruction disappears.

Watch

Extended reading notes

Core claim

On the paper's own terms, the central discovery is that the classical string field equation $Q\Psi+\sum_{n\ge 2}\frac{1}{n!}[\Psi^{\otimes n}]=0$ of type IIB closed superstring field theory has a solution whose massless component $\psi=F_{\alpha\beta}V^{\alpha\beta}_{RR}+h_{\mu\nu}V^{\mu\nu}_{NSNS}+\phi D+A_\mu V^\mu_{\mathrm{aux}}$ reproduces the $\mathrm{AdS}_5\times S^5$ background of IIB supergravity. With the flat-vertex brackets and the normalization $\mu N_R=i/R$, the profiles $F=(i/R)(1-X^2/4R^2+O(R^{-4}))\gamma^{01234}$, $h_{\mu\nu}=-R^{-2}(\delta^a_\mu\delta^b_\nu X_aX_b-\delta^i_\mu\delta^j_\nu X_iX_j)+O(R^{-4})$, $\phi=-X^2/R^2+O(R^{-4})$, $A_\mu=10R^{-2}\partial_\mu X^2+O(R^{-4})$ solve the massless effective equations through third order and match the supergravity flux $\tfrac{1}{2}(\omega_{\mathrm{AdS}_5}+\omega_{S^5})\gamma^{01234}$, the metric, and a constant physical dilaton $\tfrac{1}{4}(h-\phi)$ through $O(R^{-3})$. The same solution is invariant, through second order, under $\mathrm{SO}(5)\times\mathrm{SO}(5)$ rotations and the 32 super-isometries realized as string field gauge transformations. In the pp-wave limit the massless solution truncates to all orders, $F=i\mu\gamma^{+1234}$, $h_{\mu\nu}=-\mu^2 X_\perp^2\delta^+_\mu\delta^+_\nu$, $\phi=A=0$, by a boost-symmetry argument, and the linearized axion fluctuation obeys the $\mathrm{AdS}_5\times S^5$ scalar wave equation through second order. The paper further claims that within the restricted extended system the only possible obstructions to an all-order solution occur at orders $n\equiv 3\bmod 4$ (a constant term in the dilatino variation, readable as a higher-derivative correction to the supergravity supersymmetry variation) and $n\equiv 0\bmod 4$ (a divergenceless 2-form-spinor obstructing the gravitino variation integrability), which are expected to disappear when the full $PSU(2,2|4)$ algebra replaces the $\mathrm{SO}(5)\times\mathrm{SO}(5)$ plus 32 supercharge subalgebra.

Load-bearing premise

The load-bearing premise is that the restricted massless ansatz - the RR 5-form, the NSNS metric, the ghost dilaton, the auxiliary vector, and the two sets of 16 super-isometry fields, trimmed by worldsheet parity, orientifold parity, and the $\mathrm{AdS}_5/S^5$ swap symmetry - contains every field that actually turns on at the orders studied; a missing massless component (such as the RR 3-form or $B$-field excluded by the parity choices) or a massive-mode effect beyond the Siegel-gauge integration would change the claimed third-order solution and the obstruction list.

Editorial extensions

If this is right

  • The solution provides an expansion point for a first-principles RNS description of type IIB strings in $\mathrm{AdS}_5\times S^5$: the physical spectrum and tree-level amplitudes follow from fluctuations around the background, with the spectrum identified by how $PSU(2,2|4)$ acts in the bulk.
  • Because the brackets reproduce the supergravity Taylor coefficients through $O(R^{-3})$, the same expansion at higher orders computes string ($\alpha'$) corrections to the $\mathrm{AdS}_5\times S^5$ background, beyond what two-derivative supergravity determines.
  • The axion identification fixes the normalization: the linearized fluctuation obeys the canonical $\mathrm{AdS}_5\times S^5$ massless scalar wave equation only if $\mu^2N_R^2=-1/R^2$.
  • In the pp-wave limit the massless sector of the solution is exact to all orders, but the massive part and the super-isometry generators continue to receive $1/\mu$ corrections, so stringy effects in the pp-wave background do not truncate.
  • A full all-order existence proof requires the $n\ge 4$ flat string brackets and, most likely, the full $PSU(2,2|4)$ invariance, whose $L_\infty$ commutation relations are expected to remove the surviving obstructions at orders $3\bmod 4$ and $0\bmod 4$.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the third-order computation is correct, evaluating the same flat-vertex brackets at fourth order would produce the first genuinely stringy corrections to the $\mathrm{AdS}_5\times S^5$ metric and flux, giving a concrete prediction that could be checked against other approaches to string corrections.
  • The $n\equiv 0\bmod 4$ obstruction is tied to a quadratic dilaton profile no $Q$-closed shift can remove; should it survive the full $PSU(2,2|4)$ analysis, the all-order string background would be a higher-derivative deformation of supergravity rather than the exact two-derivative solution.
  • The boost-symmetry argument that proves all-order truncation in the pp-wave limit is a charge-conservation argument and could transfer to other backgrounds with a conserved worldsheet current, offering a general route to exact massless solutions in null-geometry limits.
  • Only the axion has been analyzed among linearized fluctuations; extending the same bracket machinery to massive modes should reproduce the full $\mathrm{AdS}_5\times S^5$ Kaluza-Klein tower, a direct test the paper leaves open.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 4 minor

Summary. The paper constructs a perturbative classical solution of type IIB closed superstring field theory in the flat-vertex frame that is claimed to describe the AdS5×S5 background. The construction uses a massless string-field ansatz containing an RR 5-form, NSNS metric, ghost dilaton, auxiliary vector, and a super-isometry string field. The authors solve the extended system consisting of the massless effective equation of motion and the 32 super-isometry invariance conditions to second order in the 1/R expansion, and solve the massless background equation of motion to third order. They fix the flux normalization by matching the second-order SUGRA metric, reproduce the SUGRA metric and self-dual 5-form Taylor coefficients, identify the massless RR axion in the linearized fluctuations to second order, present an all-order massless pp-wave solution, and analyze possible higher-order obstructions. The paper is explicit that full PSU(2,2|4) invariance and all-order existence are not proven.

Significance. If the construction is correct, this is a substantial step toward a first-principle RNS-based string field theory description of AdS5×S5: it shows explicitly that the flat-vertex SFT brackets generate the SUGRA Taylor expansion, verifies an overdetermined system with one unused equation, and provides a framework for extracting the spectrum and amplitudes around the background. The paper is unusually detailed: the main bracket computations are shown in appendices, the second-order system is genuinely overdetermined and the leftover equation is checked, and the axion wave equation provides an internal cross-check of the normalization. The main significance is conditional on closing the ansatz-completeness gap described below; if that gap is filled, the paper would be a solid contribution to closed superstring field theory.

major comments (3)
  1. [§3.1, Eqs. (3.2)–(3.3), (3.6)–(3.9)] The equations of motion and super-isometry equations are solved only after projecting onto the symmetry-truncated subspace spanned by (3.2)–(3.3). The paper asserts that the ansatz is consistent because worldsheet parity, orientifold parity and the AdS5/S5 swap commute with the BRST charge, but it does not compute the brackets into the complementary massless channels (e.g. NSNS B-field, RR 1-form/3-form components, or other parity-odd profiles) and show that these overlaps vanish. Consequently (1.8)–(1.9) are shown to solve the projected massless effective equations, not necessarily the full equation of motion (2.20), and the obstruction classification of §7.4 inherits the same gap. This is load-bearing for the third-order claim; please either compute the overlaps with all excluded channels or give a general symmetry argument that forces closure on the ansatz.
  2. [§3.1 and §7.4] The identification of the solution as the AdS5×S5 background requires full PSU(2,2|4) invariance, but the paper explicitly verifies only SO(5)×SO(5) rotations and 32 super-isometries (to second order), and the remaining generators are expected to follow from L∞ commutators that are not constructed. Section 7.4 explicitly leaves possible obstructions at orders n=3 mod 4 and n=0 mod 4, with the statement that they are 'highly plausible' to be absent once the full supergroup is imposed. Therefore the all-order existence and maximal super-isometry of the solution are not established, and the claims in the abstract and introduction should be softened accordingly or the L∞ commutator argument should be supplied.
  3. [§4.4, Eq. (4.20)] The third-order result is a solution of the massless background equation of motion only; the super-isometry equations for λ are not checked at third order, and the statement that the third-order solution is 'essentially unique' is an expectation rather than a proven statement. Since the abstract says the solution is determined 'to the third order', the text should clarify that maximal super-isometry is verified only through second order and that the third-order statement concerns the background equation of motion only.
minor comments (4)
  1. [§4.3 and App. E.2.3] The ansatz (4.17) for h^(2) is written with coefficients α1, α2, while the same ansatz in Eq. (E.35) is written with α1/4 and α2/4; the results quoted in §4.3 (α1=-3/7 N_R², α2=-5/7 N_R²) and in E.2.3 (α1=-12/7 N_R², α2=-20/7 N_R²) are the same physical coefficients. Please harmonize the notation to avoid confusion.
  2. [§4.4, Eq. (4.30)] Equation (4.30) states the Siegel-gauge flux as F = i/R (1 + X²/R² + ... ) γ01234, but consistency with (1.9) requires 1 + X²/(4R²); the factor 1/4 appears to be missing.
  3. [§6.2.3, Eq. (6.17)] The axion wave equation reproduces the AdS Laplacian only after inserting μ² N_R² = -1/R², which is the same normalization fixed in §4.3 by matching the second-order metric. This is an internal consistency check rather than an independent determination of N_R, and the text should state this more explicitly.
  4. [§2.3] There is a typo in the sentence 'but thanks the the homogeneity of AdS5×S5'; it should read 'thanks to the homogeneity'.

Circularity Check

1 steps flagged · score 4.0 of 10

The single free normalization N_R is fitted to the SUGRA metric and then re-used to 'check' the flux and axion against the same SUGRA solution; the central SFT EOM derivation remains independent.

  1. fitted input called prediction [Section 4.3 (normalization fit, after eq. (4.19)) and Section 6.2.3 (eq. (6.17))]
    ""...pin down the normalization constant N_R by demanding that up to second order, the string field frame is aligned with the field frame of the SUGRA solution. This requires h(2)µν to be precisely the second-order metric fluctuation of the SUGRA solution, which gives μ^2N_R^2 = −1/R^2. ... We choose the orientation such that μN_R = i/R." ... "which is □_AdS(c(0) + μ^2 c(2) + O(μ^3)) = 0 expanded to order 1/R^2 as written in (C.8), provided that μ^2N_R^2 = −1/R^2. This is precisely the normalization of our solution, giving a nontrivial check.""

    Equation (6.17) matches the AdS Laplacian only under μ^2N_R^2 = −1/R^2, and that equality was already imposed by fitting N_R so that h(2) equals the SUGRA metric. The axion "check" therefore reduces to the calibration condition, not to an independent prediction. The third-order flux (4.29) is likewise obtained by plugging in the previously chosen μN_R = i/R. The paper itself says the normalization 'will be further checked ... by yielding a canonically normalized massless wave equation for the RR axion,' but the wave-equation coefficient is the same fitted constant.

full rationale

The only step that comes close to circularity is the treatment of the overall normalization N_R. The paper fixes μN_R = i/R by demanding exact agreement of the second-order metric with the known AdS5×S5 SUGRA solution, and then presents the third-order flux and the axion wave equation as checks that hold under the same condition. Since those checks involve the same fitted constant, they are calibrated on the target answer. However, the central construction — solving the SFT equations of motion and super-isometry equations order by order — is carried out with N_R left as a free parameter, so the core derivation is not circular. The unproven ansatz completeness in Section 3.1 is a substantive correctness assumption, but it is not a circular reduction: the target SUGRA solution is not defined by the ansatz, and the paper explicitly acknowledges the restriction to a subalgebra of PSU(2,2|4). Self-citations such as [21], [25], and [33] are used for technical framework and are not load-bearing in a way that forces the conclusions. Overall, the paper is largely self-contained against the SUGRA benchmark, with one fitted-parameter confirmation loop that prevents a score of 0 but does not undermine the independent SFT derivation.

Assumptions & free parameters 1 free parameters · 5 assumptions · 1 invented entities

The solution rests on the SFT framework of section 2 (L-infinity brackets and the geometric master equation from [20,24]), on the flat-vertex frame of [25] extended to the superstring in appendix B, on the Siegel-gauge integration of massive modes from [26], on the completeness of the massless ansatz (3.2)-(3.3), and on the expectation that full PSU(2,2|4) invariance removes the surviving obstructions. One scale, the first-order flux normalization N_R, is fitted by matching the second-order metric to the known SUGRA solution; the structural coefficients (3/7, 5/7, 1/4, the factor 5 in the axion Laplacian) are fixed by the bracket algebra.

free parameters (1)
  • N_R (first-order RR flux normalization) = mu N_R = i/R, equivalently mu^2 N_R^2 = -1/R^2
    F^(1) = N_R gamma_01234. Fixed in section 4.3 by requiring the second-order metric in the diffeomorphism-adjusted gauge to equal the known AdS5 x S5 SUGRA metric expansion (C.13); the third-order flux and axion checks then reproduce SUGRA data only with this value.
assumptions (5)
  • domain assumption Classical closed superstring field theory with L-infinity string brackets satisfying the geometric master equation (2.10) and EOM (1.1) is a valid quantization of the RNS string.
    Framework from [20,24], taken as given in section 2.
  • domain assumption The flat-vertex frame brackets (B.2), extended from the bosonic construction of [25] to the superstring with picture-raising operator G#, define a consistent string field frame; in particular the n>=4 flat vertices exist with the required properties.
    All explicit bracket computations in sections 4-6 use this frame. The superstring extension is presented in appendix B, but its full consistency is not proven, and section 8 states the flat n>=4 brackets are 'somewhat involved' and remain unconstructed.
  • domain assumption The massless ansatz (3.2)-(3.3), with slowly-varying profiles and the imposed discrete symmetries (worldsheet parity, orientifold parity, swap Z4), is complete for the perturbative solution and for the obstruction classification.
    Entered in section 3.1. Possible additional fields (e.g., RR 1-form) are excluded by SO(5) x SO(5) covariance and parity choices; completeness is assumed, and the 'essentially unique' third-order claim (section 4.4) plus the surviving-obstruction list (section 7.4) depend on it.
  • ad hoc to paper SO(5) x SO(5) rotations together with the 32 super-isometries generate the full PSU(2,2|4) by L-infinity commutation relations, and full PSU(2,2|4) invariance would remove the remaining obstructions.
    Explicitly an expectation, not a proof: section 3 ('This invariance is expected to be recovered...') and section 7.4 ('highly plausible that the potential obstructions will be absent...'). Footnote 4 notes the pure spinor formalism needed full PSU(2,2|4) [17].
  • domain assumption Massive string fields can be integrated out unambiguously in Siegel gauge, and the massless effective brackets defined in (2.21)-(2.24) capture the dynamics.
    Follows [26]; used throughout sections 2.3 and 6. The authors note in section 8 that restoring massive modes for the full spectrum is future work.
invented entities (1)
  • None
    purpose: No new particles, forces, dimensions, or conserved quantities are introduced.
    The auxiliary field A_mu is a gauge artifact of the SFT ansatz (eliminated in Siegel gauge), and the obstruction data chi and Omega characterize potential sources in the equations of motion rather than new entities.

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Cite this review

Pith. "Pith review of On the $AdS_5\times S^5$ Solution of Superstring Field Theory." pith.science (2026). https://pith.science/paper/66ZY6DE5

@misc{pith2026250712921,
  author       = {Pith},
  title        = {Pith review of: On the $AdS_5\times S^5$ Solution of Superstring Field Theory},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/66ZY6DE5}},
  note         = {Machine review of arXiv:2507.12921}
}
abstract

We determine the $AdS_5\times S^5$ solution of type IIB superstring field theory (SFT) to the third order in the expansion with respect to Ramond-Ramond (RR) flux, demonstrate its supersymmetry from the SFT gauge transformations, and identify the massless RR axion in the spectrum of linearized fluctuations. We present an all-order solution in the pp-wave limit and comment on potential obstructions to, and the existence of, the all-order $AdS_5\times S^5$ solution.

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Reference graph

Works this paper leans on

43 extracted references · 14 canonical work pages · cited by 5 Pith papers

  1. [21]

    Strings in Ramond-Ramond Backgrounds from the Neveu-Schwarz-Ramond Formalism

    Minjae Cho, Scott Collier, and Xi Yin. “Strings in Ramond-Ramond Backgrounds from the Neveu-Schwarz-Ramond Formalism”. In:JHEP12 (2020), p. 123. arXiv:1811.00032 [hep-th]

    arXiv 2020

  2. [1]

    Conformal Invariance, Su- persymmetry and String Theory

    Daniel Friedan, Emil J. Martinec, and Stephen H. Shenker. “Conformal Invariance, Su- persymmetry and String Theory”. In:Nucl. Phys. B271 (1986), pp. 93–165

    work page 1986

  3. [2]

    Polchinski.String theory

    J. Polchinski.String theory. Vol. 2: Superstring theory and beyond. Cambridge Mono- graphs on Mathematical Physics. Cambridge University Press, Dec. 2007

    work page 2007

  4. [3]

    Quantization of Superstrings in Ramond-Ramond Backgrounds

    David Berenstein and Robert G. Leigh. “Quantization of superstrings in Ramond-Ramond backgrounds”. In:Phys. Rev. D63 (2001), p. 026004. arXiv:hep-th/9910145

    work page Pith review arXiv 2001

  5. [4]

    Superstring Perturbation Theory and Ramond-Ramond Backgrounds

    David Berenstein and Robert G. Leigh. “Superstring perturbation theory and Ramond- Ramond backgrounds”. In:Phys. Rev. D60 (1999), p. 106002. arXiv:hep-th/9904104

    work page Pith review arXiv 1999

  6. [5]

    Covariant Description of Superstrings

    Michael B. Green and John H. Schwarz. “Covariant Description of Superstrings”. In: Phys. Lett. B136 (1984), pp. 367–370

    work page 1984

  7. [6]

    N=2 Superstrings in a Supergravity Background

    Marcus T. Grisaru et al. “N=2 Superstrings in a Supergravity Background”. In:Phys. Lett. B162 (1985), pp. 116–120. 56

    work page 1985

  8. [7]

    Superstrings in D=10 from Supermembranes in D=11

    M. J. Duff et al. “Superstrings in D=10 from Supermembranes in D=11”. In:Phys. Lett. B191 (1987), p. 70

    work page 1987

Show all 43 references
  1. [8]

    Type IIB superstring action in AdS(5) x S**5 background

    R. R. Metsaev and Arkady A. Tseytlin. “Type IIB superstring action in AdS(5) x S**5 background”. In:Nucl. Phys. B533 (1998), pp. 109–126. arXiv:hep-th/9805028

    1998 arXiv

  2. [9]

    Beta Functions for the Green-schwarz Superstring

    Marcus T. Grisaru, H. Nishino, and D. Zanon. “Beta Functions for the Green-schwarz Superstring”. In:Nucl. Phys. B314 (1989), pp. 363–389

    1989

  3. [10]

    Two-loop world-sheet corrections in AdS(5) x S**5 superstring

    R. Roiban, A. Tirziu, and Arkady A. Tseytlin. “Two-loop world-sheet corrections in AdS(5) x S**5 superstring”. In:JHEP07 (2007), p. 056. arXiv:0704.3638 [hep-th]

    2007 arXiv

  4. [11]

    Quantum AdS(5) x S5 superstring in the AdS light-cone gauge

    S. Giombi et al. “Quantum AdS(5) x S5 superstring in the AdS light-cone gauge”. In: JHEP03 (2010), p. 003. arXiv:0912.5105 [hep-th]

    2010 arXiv

  5. [12]

    Exactly solvable model of superstring in Ramond- Ramond plane wave background

    R. R. Metsaev and Arkady A. Tseytlin. “Exactly solvable model of superstring in Ramond- Ramond plane wave background”. In:Phys. Rev. D65 (2002), p. 126004. arXiv:hep- th/0202109

    2002

  6. [13]

    Hidden Symmetries of the AdS 5 ×S 5 Superstring

    Iosif Bena, Joseph Polchinski, and Radu Roiban. “Hidden Symmetries of the AdS 5 ×S 5 Superstring”. In:Phys. Rev. D69 (2004), p. 046002. arXiv:hep-th/0305116

    2004 arXiv

  7. [14]

    Super Poincare covariant quantization of the superstring

    Nathan Berkovits. “Super Poincare covariant quantization of the superstring”. In:JHEP 04 (2000), p. 018. arXiv:hep-th/0001035

    2000 arXiv

  8. [15]

    Ten-dimensional supergravity constraints from the pure spinor formalism for the superstring

    Nathan Berkovits and Paul S. Howe. “Ten-dimensional supergravity constraints from the pure spinor formalism for the superstring”. In:Nucl. Phys. B635 (2002), pp. 75–105. arXiv:hep-th/0112160

    2002 arXiv

  9. [16]

    ICTP lectures on covariant quantization of the superstring

    Nathan Berkovits. “ICTP lectures on covariant quantization of the superstring”. In:ICTP Lect. Notes Ser.13 (2003). Ed. by C. Bachas et al., pp. 57–107. arXiv:hep-th/0209059

    2003 arXiv

  10. [17]

    Quantum consistency of the superstring in AdS(5) x S**5 back- ground

    Nathan Berkovits. “Quantum consistency of the superstring in AdS(5) x S**5 back- ground”. In:JHEP03 (2005), p. 041. arXiv:hep-th/0411170

    2005 arXiv

  11. [18]

    Multiloop superstring amplitudes from non- minimal pure spinor formalism

    Nathan Berkovits and Nikita Nekrasov. “Multiloop superstring amplitudes from non- minimal pure spinor formalism”. In:JHEP12 (2006), p. 029. arXiv:hep-th/0609012

    2006 arXiv

  12. [19]

    Closed Superstring Field Theory and its Applications

    Corinne de Lacroix et al. “Closed Superstring Field Theory and its Applications”. In:Int. J. Mod. Phys. A32.28n29 (2017), p. 1730021. arXiv:1703.06410 [hep-th]

    2017 arXiv

  13. [20]

    String Field Theory: A Review

    Ashoke Sen and Barton Zwiebach. “String Field Theory: A Review”. In: (May 2024). arXiv:2405.19421 [hep-th]

    2024 arXiv

  14. [22]

    A worldsheet description of flux compactifications

    Minjae Cho and Manki Kim. “A worldsheet description of flux compactifications”. In: JHEP05 (2024), p. 247. arXiv:2311.04959 [hep-th]. 57

    2024 arXiv

  15. [23]

    String perturbation theory of Klebanov-Strassler throat

    Manki Kim. “String perturbation theory of Klebanov-Strassler throat”. In: (Sept. 2024). arXiv:2409.19048 [hep-th]

    2024 arXiv

  16. [24]

    Closed string field theory: Quantum action and the B-V master equa- tion

    Barton Zwiebach. “Closed string field theory: Quantum action and the B-V master equa- tion”. In:Nucl. Phys.B390 (1993), pp. 33–152. arXiv:hep-th/9206084 [hep-th]

    1993 arXiv

  17. [25]

    Conformal Perturbation Theory and Tachyon-Dilaton Eschatology via String Fields

    Ben Mazel et al. “Conformal Perturbation Theory and Tachyon-Dilaton Eschatology via String Fields”. In: (Mar. 2024). arXiv:2403.14544 [hep-th]

    2024 arXiv

  18. [26]

    Classical algebraic structures in string theory effective actions

    Harold Erbin et al. “Classical algebraic structures in string theory effective actions”. In: JHEP11 (2020), p. 123. arXiv:2006.16270 [hep-th]

    2020 arXiv

  19. [27]

    String Field Theory

    Carlo Maccaferri. “String Field Theory”. In: Aug. 2023. arXiv:2308.00875 [hep-th]

    2023 arXiv

  20. [28]

    Harold Erbin.String Field Theory: A Modern Introduction. Vol. 980. Lecture Notes in Physics. Mar. 2021. arXiv:2301.01686 [hep-th]

    2021 arXiv

  21. [29]

    Four Lectures on Closed String Field Theory

    Theodore Erler. “Four Lectures on Closed String Field Theory”. In:Phys. Rept.851 (2020), pp. 1–36. arXiv:1905.06785 [hep-th]

    2020 arXiv

  22. [30]

    Four lectures on analytic solutions in open string field theory

    Theodore Erler. “Four lectures on analytic solutions in open string field theory”. In:Phys. Rept.980 (2022), pp. 1–95. arXiv:1912.00521 [hep-th]

    2022 arXiv

  23. [31]

    Developing the covariant Batalin-Vilkovisky ap- proach to string theory

    Hiroyuki Hata and Barton Zwiebach. “Developing the covariant Batalin-Vilkovisky ap- proach to string theory”. In:Annals Phys.229 (1994), pp. 177–216. arXiv:hep - th / 9301097

    1994

  24. [32]

    L ∞ Algebras and Field Theory

    Olaf Hohm and Barton Zwiebach. “L ∞ Algebras and Field Theory”. In:Fortsch. Phys. 65.3-4 (2017), p. 1700014. arXiv:1701.08824 [hep-th]

    2017 arXiv

  25. [33]

    Diffeomorphism in Closed String Field Theory

    Ben Mazel, Charles Wang, and Xi Yin. “Diffeomorphism in Closed String Field Theory”. In: (Apr. 2025). arXiv:2504.12290 [hep-th]

    2025 arXiv

  26. [34]

    Euclidean D-branes in type IIB string theory on Calabi-Yau threefolds

    Sergei Alexandrov, Ashoke Sen, and Bogdan Stefa´ nski. “Euclidean D-branes in type IIB string theory on Calabi-Yau threefolds”. In:JHEP12 (2021), p. 044. arXiv:2110.06949 [hep-th]

    2021 arXiv

  27. [35]

    Strings in flat space and pp waves from N=4 superYang-Mills

    David Eliecer Berenstein, Juan Martin Maldacena, and Horatiu Stefan Nastase. “Strings in flat space and pp waves from N=4 superYang-Mills”. In:JHEP04 (2002), p. 013. arXiv:hep-th/0202021

    2002 arXiv

  28. [36]

    A New maximally supersymmetric background of IIB superstring theory

    Matthias Blau et al. “A New maximally supersymmetric background of IIB superstring theory”. In:JHEP01 (2002), p. 047. arXiv:hep-th/0110242

    2002 arXiv

  29. [37]

    Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background

    R. R. Metsaev. “Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background”. In:Nucl. Phys. B625 (2002), pp. 70–96. arXiv:hep-th/0112044

    2002 arXiv

  30. [38]

    The AdS Virasoro-Shapiro amplitude

    Luis F. Alday and Tobias Hansen. “The AdS Virasoro-Shapiro amplitude”. In:JHEP10 (2023), p. 023. arXiv:2306.12786 [hep-th]

    2023 arXiv

  31. [39]

    The AdS Veneziano amplitude at small curvature

    Luis F. Alday et al. “The AdS Veneziano amplitude at small curvature”. In:JHEP05 (2024), p. 322. arXiv:2403.13877 [hep-th]. 58

    2024

  32. [40]

    Normalization of type IIB D-instanton amplitudes

    Ashoke Sen. “Normalization of type IIB D-instanton amplitudes”. In:JHEP12 (2021), p. 146. arXiv:2104.11109 [hep-th]

    2021 arXiv

  33. [41]

    Filling the gaps with PCO’s

    Ashoke Sen and Edward Witten. “Filling the gaps with PCO’s”. In:JHEP09 (2015), p. 004. arXiv:1504.00609 [hep-th]

    2015 arXiv

  34. [42]

    The Dilaton theorem and closed string back- grounds

    Oren Bergman and Barton Zwiebach. “The Dilaton theorem and closed string back- grounds”. In:Nucl. Phys. B441 (1995), pp. 76–118. arXiv:hep-th/9411047

    1995 arXiv

  35. [43]

    String Field Theory as World-sheet UV Regulator

    Ashoke Sen. “String Field Theory as World-sheet UV Regulator”. In:JHEP10 (2019), p. 119. arXiv:1902.00263 [hep-th]. 59

    2019 arXiv

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