pith. sign in

arxiv: 2606.30812 · v1 · pith:UVR6D65Snew · submitted 2026-06-29 · ✦ hep-th

M5 branes wrapping mathbb{WCP}² and spindles fibred over constant curvature Riemann surfaces

Andrea Conti , Niall T. Macpherson , Diego de Maria Almazan This is my paper

Pith reviewed 2026-07-01 01:15 UTC · model grok-4.3

classification ✦ hep-th
keywords AdS3 solutionsM5 branesseven-dimensional supergravityorbifoldsweighted projective spacecentral chargesholographic dualsRiemann surfaces
0
0 comments X

The pith

AdS3 solutions in minimal seven-dimensional supergravity uplift to M5 branes wrapping weighted projective space WCP2 and spindles over Riemann surfaces of any genus.

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

The paper classifies supersymmetric AdS3 solutions in the U(1)-invariant sector of minimal seven-dimensional supergravity. It finds two families of solutions preserving N=(2,0) supersymmetry, one with internal space a negative-curvature Kähler-Einstein manifold and the other a circle fibration over a Riemann surface times the real line. When the Riemann surface has constant curvature the second family reduces to an ordinary differential equation with explicit polynomial solutions. These solutions uplift to eleven dimensions as M5 branes wrapping orbifolds such as the weighted projective space WCP2 with two fixed points and spindles fibred over constant-curvature Riemann surfaces of arbitrary genus, furnishing holographic duals to the corresponding two-dimensional N=(2,0) SCFTs whose central charges agree with field-theory results obtained from anomaly polynomials and c-extremisation.

Core claim

The central claim is that polynomial solutions to the reduced ordinary differential equation produce explicit AdS3 geometries whose eleven-dimensional uplifts describe M5 branes wrapping the weighted projective space WCP2_[k,k,ℓ] and spindles fibred over constant-curvature Riemann surfaces of arbitrary genus, and that the holographic central charges of these geometries match independent field-theory calculations performed with anomaly polynomials and c-extremisation.

What carries the argument

The reduction, for constant-curvature Riemann surfaces, of the BPS equations in the circle-fibration class to a single ordinary differential equation whose solutions are polynomials.

If this is right

  • The solutions supply explicit holographic duals for the N=(2,0) SCFTs obtained by compactifying the M5-brane theory on these four-dimensional orbifolds.
  • Holographic central charges agree with field-theory computations that use anomaly polynomials together with c-extremisation.
  • Solutions exist for Riemann surfaces of arbitrary genus.
  • The weighted projective space WCP2_[k,k,ℓ] appears as a topological CP2 with two orbifold fixed points in the eleven-dimensional geometry.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same reduction technique could be applied to non-constant-curvature Riemann surfaces, though the resulting equation would no longer be ordinary.
  • The explicit geometries may be used to compute other observables such as entanglement entropy in the dual two-dimensional SCFTs.
  • Analogous constructions might exist in other supergravity theories or for different brane wrappings on the same orbifolds.

Load-bearing premise

The internal four-manifold must be either a negative-curvature Kähler-Einstein manifold or a circle fibration over a constant-curvature Riemann surface times the real line.

What would settle it

A mismatch between the central charge computed from the supergravity solution and the value obtained from the anomaly polynomial for the M5-brane theory compactified on WCP2_[k,k,ℓ] would falsify the matching.

read the original abstract

We classify AdS$_3$ solutions of the U(1) invariant sector of minimal $d=7$ supergravity. We find two classes of solutions preserving ${\cal N}=(2,0)$ supersymmetry for which the internal space M$_4$ is either a negative curvature Kahler-Einstein manifold or a circle fibration over $\Sigma\times \mathbb{R}$. For the later, in the case that $\Sigma$ has constant curvature, we reduce finding a solution to solving a single ODE that admits polynomial solutions. Among these are interesting solutions whose uplifts to $d=11$ describe M5 branes wrapping various $d=4$ orbifolds. These include a topological $\mathbb{CP}^2$ with 2 orbifold fixed points that we identify as the weighted projective space $\mathbb{WCP}^2_{[k,k,\ell]}$. We are also able to construct solutions with M5 branes that wrap a spindle fibred over constant curvature Riemann surfaces of arbitrary genus. Such solutions should provide holographic duals to the ${\cal N}=(2,0)$ SCFT associated to the M5 brane compactified to $d=2$ on these orbifolds. We match the holographic central charges of these solutions to a field theory computation in terms of anomaly polynomials and c-extremisation.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 2 minor

Summary. The manuscript classifies AdS₃ solutions in the U(1)-invariant sector of minimal seven-dimensional supergravity preserving N=(2,0) supersymmetry. Two classes are found: one with internal M₄ a negative-curvature Kähler-Einstein manifold, and one with M₄ a circle fibration over Σ × ℝ. When Σ has constant curvature the supersymmetry conditions reduce to a single ODE admitting polynomial solutions. Uplifts to eleven dimensions describe M5 branes wrapping orbifolds including the weighted projective space WCP²_{[k,k,ℓ]} and spindles fibered over constant-curvature Riemann surfaces of arbitrary genus. The holographic central charges are matched to independent field-theory computations via anomaly polynomials and c-extremization.

Significance. If the constructions hold, the paper supplies explicit holographic duals for N=(2,0) SCFTs arising from M5-brane compactifications on these orbifolds. Credit is due for the explicit metric/flux ansatz, the reduction of the supersymmetry conditions to a single ODE with polynomial solutions, the identification of the WCP² orbifold, the spindle-fibration family for arbitrary genus, and the direct central-charge comparison with anomaly-polynomial results. These elements provide concrete, falsifiable examples that strengthen the AdS₃/CFT₂ dictionary in the N=(2,0) setting.

minor comments (2)
  1. [§3] §3 (metric ansatz): the ranges of the spindle parameters k, ℓ and the genus g are stated but a compact table summarizing the allowed integer values and the resulting orbifold Euler characteristics would improve readability.
  2. [final section] The central-charge matching in the final section is performed for arbitrary genus; an explicit numerical example for g=0 or g=1 would help the reader verify the anomaly-polynomial formula before the general case.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive summary, recognition of the significance of the constructions, and recommendation of minor revision. No major comments were raised in the report.

Circularity Check

0 steps flagged

No significant circularity identified

full rationale

The derivation begins from a U(1)-invariant ansatz in minimal d=7 supergravity, reduces the supersymmetry conditions to an ODE (for the constant-curvature circle-fibration class) that is solved by explicit polynomial families, identifies the resulting orbifolds (WCP2_{[k,k,ℓ]} and spindle fibrations over genus-g surfaces), performs the 11d uplift, and computes holographic central charges. These are matched to a separate field-theory calculation via anomaly polynomials and c-extremization. No quoted equation or step reduces by construction to its own inputs, no self-citation is invoked as a load-bearing uniqueness theorem, and the central-charge match is presented as an independent verification rather than a fit. The construction is self-contained against the stated assumptions of N=(2,0) supersymmetry and the chosen ansatz.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Abstract-only review; the paper relies on the standard structure of minimal 7d supergravity and on the preservation of N=(2,0) supersymmetry under the stated ansatz for M4. No free parameters or invented entities are visible in the abstract.

axioms (1)
  • domain assumption The U(1) invariant sector of minimal d=7 supergravity admits the stated supersymmetric AdS3 solutions with the given internal-space topologies.
    Stated as the setting of the classification in the abstract.

pith-pipeline@v0.9.1-grok · 5779 in / 1477 out tokens · 41899 ms · 2026-07-01T01:15:36.745928+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

85 extracted references · 78 canonical work pages · 33 internal anchors

  1. [1]

    Supergravity description of field theories on curved manifolds and a no go theorem

    J. M. Maldacena and C. Nunez. “Supergravity description of field theories on curved manifolds and a no go theorem”. In:Int. J. Mod. Phys. A16 (2001). Ed. by M. J. Duff, J. T. Liu, and J. Lu, pp. 822–855. arXiv:hep-th/0007018

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  2. [2]

    Topological Quantum Field Theory

    E. Witten. “Topological Quantum Field Theory”. In:Commun. Math. Phys.117 (1988), p. 353

    1988

  3. [3]

    D-Branes and Topological Field Theories

    M. Bershadsky, C. Vafa, and V. Sadov. “D-branes and topological field theories”. In: Nucl. Phys. B463 (1996), pp. 420–434. arXiv:hep-th/9511222

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  4. [4]

    Supergravity M5-branes wrapped on Riemann surfaces and their QFT duals

    B. Brinne, A. Fayyazuddin, S. Mukhopadhyay, and D. J. Smith. “Supergravity M5-branes wrapped on Riemann surfaces and their QFT duals”. In:JHEP12 (2000), p. 013. arXiv: hep-th/0009047. 55

    work page internal anchor Pith review Pith/arXiv arXiv 2000

  5. [5]

    Membranes Wrapped on Holomorphic Curves

    J. P. Gauntlett, N. Kim, S. Pakis, and D. Waldram. “Membranes wrapped on holomor- phic curves”. In:Phys. Rev. D65 (2002), p. 026003. arXiv:hep-th/0105250

    work page internal anchor Pith review Pith/arXiv arXiv 2002

  6. [6]

    AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces

    I. Bah, C. Beem, N. Bobev, and B. Wecht. “AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces”. In:Phys. Rev. D85 (2012), p. 121901. arXiv:1112.5487 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  7. [7]

    Holographic Uniformization

    M. T. Anderson, C. Beem, N. Bobev, and L. Rastelli. “Holographic Uniformization”. In: Commun. Math. Phys.318 (2013), pp. 429–471. arXiv:1109.3724 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  8. [8]

    Four-Dimensional SCFTs from M5-Branes

    I. Bah, C. Beem, N. Bobev, and B. Wecht. “Four-Dimensional SCFTs from M5-Branes”. In:JHEP06 (2012), p. 005. arXiv:1203.0303 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  9. [9]

    Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface

    I. Bah. “Quarter-BPSAdS 5 solutions in M-theory with aT 2 bundle over a Riemann surface”. In:JHEP08 (2013), p. 137. arXiv:1304.4954 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  10. [10]

    Two-dimensional SCFTs from wrapped branes and c-extremization

    F. Benini and N. Bobev. “Two-dimensional SCFTs from wrapped branes and c-extremization”. In:JHEP06 (2013), p. 005. arXiv:1302.4451 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  11. [11]

    Supersymmetric AdS_5 solutions of massive IIA supergravity

    F. Apruzzi, M. Fazzi, A. Passias, and A. Tomasiello. “Supersymmetric AdS 5 solutions of massive IIA supergravity”. In:JHEP06 (2015), p. 195. arXiv:1502.06620 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  12. [12]

    N= (2, 2) AdS 3 from D3-branes wrapped on Riemann surfaces

    C. Couzens, N. T. Macpherson, and A. Passias. “N= (2, 2) AdS 3 from D3-branes wrapped on Riemann surfaces”. In:JHEP02 (2022), p. 189. arXiv:2107.13562 [hep-th]

    work page arXiv 2022

  13. [13]

    Two-dimensional SCFTs from D3-branes

    F. Benini, N. Bobev, and P. M. Crichigno. “Two-dimensional SCFTs from D3-branes”. In:JHEP07 (2016), p. 020. arXiv:1511.09462 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  14. [14]

    M-Fivebranes Wrapped on Supersymmetric Cycles

    J. P. Gauntlett, N. Kim, and D. Waldram. “M Five-branes wrapped on supersymmetric cycles”. In:Phys. Rev. D63 (2001), p. 126001. arXiv:hep-th/0012195

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  15. [15]

    Supergravity duals of gauge theories from F(4) gauged supergravity in six dimensions

    C. Nunez, I. Y. Park, M. Schvellinger, and T. A. Tran. “Supergravity duals of gauge theories from F(4) gauged supergravity in six-dimensions”. In:JHEP04 (2001), p. 025. arXiv:hep-th/0103080

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  16. [16]

    Wrapped M5-branes, consistent truncations and AdS/CMT

    A. Donos, J. P. Gauntlett, N. Kim, and O. Varela. “Wrapped M5-branes, consistent truncations and AdS/CMT”. In:JHEP12 (2010), p. 003. arXiv:1009.3805 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  17. [17]

    AdS_4 compactifications of AdS_7 solutions in type II supergravity

    A. Rota and A. Tomasiello. “AdS 4 compactifications of AdS7 solutions in type II super- gravity”. In:JHEP07 (2015), p. 076. arXiv:1502.06622 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  18. [18]

    The gravity duals of N=2 superconformal field theories

    D. Gaiotto and J. Maldacena. “The Gravity duals of N=2 superconformal field theories”. In:JHEP10 (2012), p. 189. arXiv:0904.4466 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  19. [19]

    AdS5 compactifications with punctures in massive IIA supergravity

    I. Bah, A. Passias, and A. Tomasiello. “AdS 5 compactifications with punctures in massive IIA supergravity”. In:JHEP11 (2017), p. 050. arXiv:1704.07389 [hep-th]. 56

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  20. [20]

    Wrapped Branes and Punctured Horizons

    N. Bobev, P. Bomans, and F. F. Gautason. “Wrapped Branes and Punctured Horizons”. In:JHEP06 (2020), p. 011. arXiv:1912.04779 [hep-th]

    work page arXiv 2020

  21. [21]

    Anomaly Inflow for M5-branes on Punctured Riemann Surfaces

    I. Bah, F. Bonetti, R. Minasian, and E. Nardoni. “Anomaly Inflow for M5-branes on Punctured Riemann Surfaces”. In:JHEP06 (2019), p. 123. arXiv:1904.07250 [hep-th]

    work page arXiv 2019

  22. [22]

    New punctures for six- dimensional compactifications

    F. Apruzzi, N. Mekareeya, B. Robinson, and A. Tomasiello. “New punctures for six- dimensional compactifications”. In:JHEP02 (2026), p. 214. arXiv:2510.17972 [hep-th]

    work page arXiv 2026

  23. [23]

    D3-Branes Wrapped on a Spindle

    P. Ferrero, J. P. Gauntlett, J. M. P´ erez Ipi˜ na, D. Martelli, and J. Sparks. “D3-Branes Wrapped on a Spindle”. In:Phys. Rev. Lett.126.11 (2021), p. 111601. arXiv:2011.10579 [hep-th]

    work page arXiv 2021

  24. [24]

    Accelerating black holes and spinning spindles

    P. Ferrero, J. P. Gauntlett, J. M. P. Ipi˜ na, D. Martelli, and J. Sparks. “Accelerating black holes and spinning spindles”. In:Phys. Rev. D104.4 (2021), p. 046007. arXiv: 2012.08530 [hep-th]

    work page arXiv 2021

  25. [25]

    Supersymmetric spindles

    P. Ferrero, J. P. Gauntlett, and J. Sparks. “Supersymmetric spindles”. In:JHEP01 (2022), p. 102. arXiv:2112.01543 [hep-th]

    work page arXiv 2022

  26. [26]

    Multicharge accelerating black holes and spinning spindles

    P. Ferrero, M. Inglese, D. Martelli, and J. Sparks. “Multicharge accelerating black holes and spinning spindles”. In:Phys. Rev. D105.12 (2022), p. 126001. arXiv:2109.14625 [hep-th]

    work page arXiv 2022

  27. [27]

    M5-branes wrapped on a spindle

    P. Ferrero, J. P. Gauntlett, D. Martelli, and J. Sparks. “M5-branes wrapped on a spindle”. In:JHEP11 (2021), p. 002. arXiv:2105.13344 [hep-th]

    work page arXiv 2021

  28. [28]

    Rotating multi-charge spindles and their microstates

    S. M. Hosseini, K. Hristov, and A. Zaffaroni. “Rotating multi-charge spindles and their microstates”. In:JHEP07 (2021), p. 182. arXiv:2104.11249 [hep-th]

    work page arXiv 2021

  29. [29]

    Twisted D3-brane and M5-brane compacti- fications from multi-charge spindles

    A. Boido, J. M. P. Ipi˜ na, and J. Sparks. “Twisted D3-brane and M5-brane compacti- fications from multi-charge spindles”. In:JHEP07 (2021), p. 222. arXiv:2104.13287 [hep-th]

    work page arXiv 2021

  30. [30]

    M2-branes on discs and multi- charged spindles

    C. Couzens, K. Stemerdink, and D. van de Heisteeg. “M2-branes on discs and multi- charged spindles”. In:JHEP04 (2022), p. 107. arXiv:2110.00571 [hep-th]

    work page arXiv 2022

  31. [31]

    A tale of (M)2 twists

    C. Couzens. “A tale of (M)2 twists”. In:JHEP03 (2022), p. 078. arXiv:2112.04462 [hep-th]

    work page arXiv 2022

  32. [32]

    Leigh-Strassler compactified on a spindle

    I. Arav, J. P. Gauntlett, M. M. Roberts, and C. Rosen. “Leigh-Strassler compactified on a spindle”. In:JHEP10 (2022), p. 067. arXiv:2207.06427 [hep-th]

    work page arXiv 2022

  33. [33]

    Gravitational Blocks, Spindles and GK Geometry

    A. Boido, J. P. Gauntlett, D. Martelli, and J. Sparks. “Gravitational Blocks, Spindles and GK Geometry”. In:Commun. Math. Phys.403.2 (2023), pp. 917–1003. arXiv:2211. 02662 [hep-th]. 57

    2023

  34. [34]

    Universal spindles: D2’s on Σ and M5’s on Σ×H 3

    C. Couzens and K. Stemerdink. “Universal spindles: D2’s on Σ and M5’s on Σ×H 3”. In: (July 2022). arXiv:2207.06449 [hep-th]

    work page arXiv 2022

  35. [35]

    Baryonic spindles from conifolds

    M. Suh. “Baryonic spindles from conifolds”. In:JHEP02 (2025), p. 181. arXiv:2304. 03308 [hep-th]

    2025

  36. [36]

    The spindle index from localization

    M. Inglese, D. Martelli, and A. Pittelli. “The spindle index from localization”. In:J. Phys. A57.8 (2024), p. 085401. arXiv:2303.14199 [hep-th]

    work page arXiv 2024

  37. [37]

    Supersymmetry and Localization on Three- Dimensional Orbifolds

    M. Inglese, D. Martelli, and A. Pittelli. “Supersymmetry and Localization on Three- Dimensional Orbifolds”. In: (Dec. 2023). arXiv:2312.17086 [hep-th]

    work page arXiv 2023

  38. [38]

    Spindle black holes in AdS 4×SE 7

    K. Hristov and M. Suh. “Spindle black holes in AdS 4×SE 7”. In:JHEP10 (2023), p. 141. arXiv:2307.10378 [hep-th]

    work page arXiv 2023

  39. [39]

    T 1,1 truncation on the spindle

    A. Amariti, N. Petri, and A. Segati. “T 1,1 truncation on the spindle”. In:JHEP07 (2023), p. 087. arXiv:2304.03663 [hep-th]

    work page arXiv 2023

  40. [40]

    Orbifold Indices in Four Dimensions

    A. Pittelli. “Orbifold Indices in Four Dimensions”. In: (Mar. 2024). arXiv:2403.12318 [hep-th]

    work page arXiv 2024

  41. [41]

    BBBW on the spindle

    A. Amariti, S. Mancani, D. Morgante, N. Petri, and A. Segati. “BBBW on the spindle”. In:SciPost Phys.17.6 (2024), p. 154. arXiv:2309.11362 [hep-th]

    work page arXiv 2024

  42. [42]

    Gravitational blocks: Symplectic covariance unveiled

    S. M. Hosseini. “Gravitational blocks: Symplectic covariance unveiled”. In:Phys. Lett. B843 (2023), p. 138044. arXiv:2303.07365 [hep-th]

    work page arXiv 2023

  43. [43]

    On the classSorigin of spindle solutions

    P. Bomans and C. Couzens. “On the classSorigin of spindle solutions”. In:JHEP10 (2024), p. 036. arXiv:2404.08083 [hep-th]

    work page arXiv 2024

  44. [44]

    Microstates of Accelerating and Supersymmetric AdS4 Black Holes from the Spindle Index

    E. Colombo, S. M. Hosseini, D. Martelli, A. Pittelli, and A. Zaffaroni. “Microstates of Accelerating and Supersymmetric AdS4 Black Holes from the Spindle Index”. In:Phys. Rev. Lett.133.3 (2024), p. 031603. arXiv:2404.07173 [hep-th]

    work page arXiv 2024

  45. [45]

    Spindle black holes and theories of classF

    K. Hristov and M. Suh. “Spindle black holes and theories of classF”. In:JHEP08 (2024), p. 006. arXiv:2405.17432 [hep-th]

    work page arXiv 2024

  46. [46]

    Nuts, bolts and spindles

    M. K. Crisafio, A. Fontanarossa, and D. Martelli. “Nuts, bolts and spindles”. In:Lett. Math. Phys.115.2 (2025), p. 27. arXiv:2412.00428 [hep-th]

    work page arXiv 2025

  47. [47]

    D6 branes wrapped on a spindle and Y p,q manifolds

    P. Ferrero. “D6 branes wrapped on a spindle and Y p,q manifolds”. In:JHEP05 (2024), p. 182. arXiv:2403.03988 [hep-th]

    work page arXiv 2024

  48. [48]

    A story of non-conformal branes: spindles, disks, circles and black holes

    M. Boisvert and P. Ferrero. “A story of non-conformal branes: spindles, disks, circles and black holes”. In:JHEP06 (2024), p. 013. arXiv:2403.03989 [hep-th]. 58

    work page arXiv 2024

  49. [49]

    Spindle solutions, hyperscalars and smooth uplifts

    I. Arav, J. P. Gauntlett, M. M. Roberts, and C. Rosen. “Spindle solutions, hyperscalars and smooth uplifts”. In:JHEP06 (2026), p. 010. arXiv:2511.01964 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2026

  50. [50]

    Supersymmetric localisation ofN= (2, 2) theories on a spindle

    I. Jeon, H. Kim, N. Kim, A. Poole, and A. Ray. “Supersymmetric localisation ofN= (2, 2) theories on a spindle”. In:JHEP10 (2025), p. 189. arXiv:2506.03734 [hep-th]

    work page arXiv 2025

  51. [51]

    Non-conformal branes wrapped on a disk

    M. Suh. “Non-conformal branes wrapped on a disk”. In: (July 2025). arXiv:2507.22991 [hep-th]

    work page arXiv 2025

  52. [52]

    Supersymmetric $\mathbb{WCP}^n$, AdS near horizons and orbifolds

    A. Conti and N. T. Macpherson. “SupersymmetricWCP n, AdS near horizons and orb- ifolds”. In:JHEP05 (2026), p. 213. arXiv:2511.19624 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2026

  53. [53]

    Localisation of $\mathcal{N} = (2,2)$ theories on spindles of both twists

    I. Jeon, H. Kim, N. Kim, A. Poole, and A. Ray. “Localisation ofN= (2,2) theories on spindles of both twists”. In: (Apr. 2026). arXiv:2604.17975 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2026

  54. [54]

    Spindle solutions with hyperscalars in $D=4$ gauged supergravity

    I. Arav, J. P. Gauntlett, J. Park, M. M. Roberts, and C. Rosen. “Spindle solutions with hyperscalars inD= 4 gauged supergravity”. In: (May 2026). arXiv:2605.04140 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2026

  55. [55]

    M5-branes wrapped on four-dimensional orbifolds

    K. C. M. Cheung, J. H. T. Fry, J. P. Gauntlett, and J. Sparks. “M5-branes wrapped on four-dimensional orbifolds”. In:JHEP08 (2022), p. 082. arXiv:2204.02990 [hep-th]

    work page arXiv 2022

  56. [56]

    D4-branes wrapped on four-dimensional orbifolds through consistent truncation

    C. Couzens, H. Kim, N. Kim, Y. Lee, and M. Suh. “D4-branes wrapped on four-dimensional orbifolds through consistent truncation”. In:JHEP02 (2023), p. 025. arXiv:2210.15695 [hep-th]

    work page arXiv 2023

  57. [57]

    M5-branes and D4-branes wrapped on a direct product of spindle and Riemann surface

    M. Suh. “M5-branes and D4-branes wrapped on a direct product of spindle and Riemann surface”. In:JHEP02 (2024), p. 205. arXiv:2207.00034 [hep-th]

    work page arXiv 2024

  58. [58]

    M5-branes and D4-branes wrapped on disk×disk and spindle⋉disk

    M. Suh. “M5-branes and D4-branes wrapped on disk×disk and spindle⋉disk”. In: (Nov. 2024). arXiv:2411.09737 [hep-th]

    work page arXiv 2024

  59. [59]

    Branes wrapped on quadrilaterals

    F. Faedo, A. Fontanarossa, and D. Martelli. “Branes wrapped on quadrilaterals”. In: Lett. Math. Phys.115.2 (2025), p. 26. arXiv:2402.08724 [hep-th]

    work page arXiv 2025

  60. [60]

    Single-rotation two-charge black holes in gauged supergravity

    D. D. K. Chow. “Single-rotation two-charge black holes in gauged supergravity”. In: (Aug. 2011). arXiv:1108.5139 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  61. [61]

    Supersymmetric AdS(5) so- lutions of M theory

    J. P. Gauntlett, D. Martelli, J. Sparks, and D. Waldram. “Supersymmetric AdS(5) so- lutions of M theory”. In:Class. Quant. Grav.21 (2004), pp. 4335–4366. arXiv:hep - th/0402153

    work page arXiv 2004

  62. [62]

    Resolution ` a la Kronheimer ofC 3/Γ singularities and the Monge–Amp` ere equation for Ricci-flat K¨ ahler metrics in view of D3-brane solutions of supergravity

    M. Bianchi, U. Bruzzo, P. Fr´ e, and D. Martelli. “Resolution ` a la Kronheimer ofC 3/Γ singularities and the Monge–Amp` ere equation for Ricci-flat K¨ ahler metrics in view of D3-brane solutions of supergravity”. In:Lett. Math. Phys.111.3 (2021), p. 79. arXiv: 2105.11704 [math.DG]. 59

    work page arXiv 2021

  63. [63]

    Marginally deformed AdS 5/CFT4 and spindle-like orbifolds

    N. T. Macpherson, P. Merrikin, and C. Nunez. “Marginally deformed AdS 5/CFT4 and spindle-like orbifolds”. In:JHEP07 (2024), p. 042. arXiv:2403.02380 [hep-th]

    work page arXiv 2024

  64. [64]

    Super Yang-Mills on branched covers and weighted projective spaces

    R. Mauch and L. Ruggeri. “Super Yang-Mills on branched covers and weighted projective spaces”. In:JHEP08 (2024), p. 106. arXiv:2404.11600 [hep-th]

    work page arXiv 2024

  65. [65]

    Type II embeddings ford= 6 Einstein-Maxwell gauged supergravity

    N. T. Macpherson and R. Stuardo. “Type II embeddings ford= 6 Einstein-Maxwell gauged supergravity”. In: (Nov. 2025). arXiv:2511.02835 [hep-th]

    work page arXiv 2025

  66. [66]

    Timelike Killing spinors in seven dimensions

    M. Cariglia and O. A. P. Mac Conamhna. “Timelike Killing spinors in seven dimensions”. In:Phys. Rev. D70 (2004), p. 125009. arXiv:hep-th/0407127

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  67. [67]

    Five-Brane Effective Action In M-Theory

    E. Witten. “Five-brane effective action inM-theory.” In:J. Geom. Phys.22 (1997), pp. 103–133. arXiv:hep-th/9610234

    work page internal anchor Pith review Pith/arXiv arXiv 1997

  68. [68]

    Liouville/Toda central charges from M5-branes

    L. F. Alday, F. Benini, and Y. Tachikawa. “Liouville/Toda central charges from M5- branes”. In:Phys. Rev. Lett.105 (2010), p. 141601. arXiv:0909.4776 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  69. [69]

    Anomalies, Black strings and the charged Cardy formula

    S. M. Hosseini, K. Hristov, Y. Tachikawa, and A. Zaffaroni. “Anomalies, Black strings and the charged Cardy formula”. In:JHEP09 (2020), p. 167. arXiv:2006.08629 [hep-th]

    work page arXiv 2020

  70. [70]

    Exact two-dimensional superconformal R-symmetry and c-extremization

    F. Benini and N. Bobev. “Exact two-dimensional superconformal R-symmetry and c- extremization”. In:Phys. Rev. Lett.110.6 (2013), p. 061601. arXiv:1211.4030 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  71. [71]

    GAUGED SEVEN-DIMENSIONAL SU- PERGRAVITY

    P. K. Townsend and P. van Nieuwenhuizen. “GAUGED SEVEN-DIMENSIONAL SU- PERGRAVITY”. In:Phys. Lett. B125 (1983). Ed. by A. Salam and E. Sezgin, pp. 41– 46

    1983

  72. [72]

    Universal consistent truncation for 6d/7d gauge/gravity duals

    A. Passias, A. Rota, and A. Tomasiello. “Universal consistent truncation for 6d/7d gauge/gravity duals”. In:JHEP10 (2015), p. 187. arXiv:1506.05462 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  73. [73]

    Exact Embedding of N=1, D=7 Gauged Supergravity in D=11

    H. Lu and C. N. Pope. “Exact embedding of N=1, D = 7 gauged supergravity in D = 11”. In:Phys. Lett. B467 (1999), pp. 67–72. arXiv:hep-th/9906168

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  74. [74]

    Compactification ofd= 11 Supergravity on S(4) (Or 11 = 7 + 4, Too)

    K. Pilch, P. van Nieuwenhuizen, and P. K. Townsend. “Compactification ofd= 11 Supergravity on S(4) (Or 11 = 7 + 4, Too)”. In:Nucl. Phys. B242 (1984), pp. 377–392

    1984

  75. [75]

    Embedding AdS Black Holes in Ten and Eleven Dimensions

    M. Cvetic, M. J. Duff, P. Hoxha, J. T. Liu, H. Lu, J. X. Lu, R. Martinez-Acosta, C. N. Pope, H. Sati, and T. A. Tran. “Embedding AdS black holes in ten-dimensions and eleven-dimensions”. In:Nucl. Phys. B558 (1999), pp. 96–126. arXiv:hep-th/9903214

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  76. [76]

    6d holographic anomaly match as a continuum limit

    S. Cremonesi and A. Tomasiello. “6d holographic anomaly match as a continuum limit”. In:JHEP05 (2016), p. 031. arXiv:1512.02225 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  77. [77]

    AdS_6 solutions of type II supergravity

    F. Apruzzi, M. Fazzi, A. Passias, D. Rosa, and A. Tomasiello. “AdS 6 solutions of type II supergravity”. In:JHEP11 (2014). [Erratum: JHEP 05, 012 (2015)], p. 099. arXiv: 1406.0852 [hep-th]. 60

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  78. [78]

    Tomasiello.Geometry of String Theory Compactifications

    A. Tomasiello.Geometry of String Theory Compactifications. Cambridge University Press, Jan. 2022.isbn: 978-1-108-63574-5, 978-1-108-47373-6

    2022

  79. [79]

    Half-BPS Janus solutions in AdS7

    A. Conti, G. Dibitetto, Y. Lozano, N. Petri, and A. Ram´ ırez. “Half-BPS Janus solutions in AdS7”. In:JHEP12 (2024), p. 198. arXiv:2407.21619 [hep-th]

    work page arXiv 2024

  80. [80]

    N= (4, 4) supersymmetric AdS 3 solutions in d = 11

    A. Conti and N. T. Macpherson. “N= (4, 4) supersymmetric AdS 3 solutions in d = 11”. In:JHEP05 (2025), p. 163. arXiv:2408.17303 [hep-th]

    work page arXiv 2025

Showing first 80 references.