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Symmetries and operators in $T\bar{T}$ deformed CFTs

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Pith's one-line read This paper constructs a new class of local operators, called physical operators, in $T\bar{T}$-deformed CFTs, and shows their momentum-space two-point function matches both the string-theory prediction and the large-momentum field-theory…

desk verdict Strong classical construction of physical operators in TTbar-deformed CFTs, reproducing the known UV two-point function, but the quantum lift remains an expectation rather than a derivation. read the letter →

arxiv 2507.08588 v2 pith:7FEGMIPC submitted 2025-07-11 hep-th

Liangyu Chen , Zhengyuan Du , Kangning Liu , Wei Song This is my paper
classification hep-th
keywords T\bar{T}deformationnonlocalconformalsymmetrydressedoperatorsphysicaltwo-pointcorrelationfunctionsTsT/T\bar{T}correspondenceHamiltonianformalismmomentum-spaceresummation
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

$T\bar{T}$-deformed conformal field theories preserve conformal symmetry, but the symmetry generators and natural operators become nonlocal, which makes correlation functions difficult to compute. This paper introduces a class of local operators, called physical operators, that can nevertheless be expressed as integrals of nonlocal dressed primaries over field-dependent coordinates. Using the fact that dressed primaries transform like ordinary CFT primaries, the paper computes the momentum-space two-point function and, by summing the most ultraviolet-sensitive terms, obtains a result that looks like a CFT two-point function with a momentum-dependent shifted conformal weight. The result matches both the string-theory prediction from the TsT/$T\bar{T}$ correspondence and the large-momentum field-theory calculation, and it satisfies the known flow equation for $T\bar{T}$ correlation functions. The construction also shows that the physical operator coincides at the classical level with the operator used in earlier field-theory path-integral work.

What carries the argument

The argument runs on two constructions used together. Dressed operators are covariant constants of the deformation flow, $D_\lambda \tilde O = 0$ with $D_\lambda = \partial_\lambda - i[X,\cdot]$, so they transform under the nonlocal conformal generators exactly as CFT primaries and their correlation functions do not change along the flow. The physical operator, by contrast, is a local combination of the undeformed primary with factors built from the stress tensor, and the field-dependent coordinate map $U,V$ turns it into an integral of the dressed operator. That duality is what makes the computation possible: expand the dressing factor in powers of $\lambda$, apply the primary transformation rules to the dressed insertions, and resum the most ultraviolet-sensitive leading logarithms, which produces the momentum-dependent shifted dimension $h_\lambda$.

What would settle it

Carry the perturbative expansion to third order in $\lambda$ and isolate the subleading logarithms in the momentum-space two-point function: the central claim requires the summed leading-log terms to give the full ultraviolet power law, so any subleading contribution that survives as $|p|\to\infty$ with the same or stronger growth would falsify the result. A second decisive check is the three-point function, which the dressed-operator representation predicts to take the CFT form with each external dimension shifted by $\lambda p\bar p/\pi$.

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Extended reading notes

Core claim

The paper's central claim is that a $T\bar{T}$-deformed CFT contains a local operator that is still organized by the deformed theory's nonlocal conformal symmetry. The physical operator is defined by $O_{h,\bar h} = (1+\lambda^2 O_{T\bar T})(1+2\lambda H_R)^h (1+2\lambda H_L)^{\bar h} O^{(0)}_{h,\bar h}$ and can be rewritten as $O_{h,\bar h}(u,v)=\int d\sigma^2\,\delta(U(\sigma^+,\sigma^-)-u,\,V(\sigma^+,\sigma^-)-v)\,\tilde O_{h,\bar h}(\sigma^+,\sigma^-)$, where $\tilde O_{h,\bar h}$ is the dressed primary and $U,V$ are nonlocal coordinates built from the stress tensor. Because dressed primaries keep their CFT transformation rules and correlation functions under the flow, the physical two-point function can be evaluated order by order in $\lambda$; in the ultraviolet the leading logarithms sum to $\langle O_{h,\bar h}(p,\bar p)O_{h,\bar h}(-p,-\bar p)\rangle \sim \pi\,\Gamma(1-2h_\lambda)/\Gamma(2h_\lambda)\,(|p|/2)^{4h_\lambda-2}$, with $h_\lambda = h + \lambda p\bar p/\pi$. This is precisely the string-theory and large-momentum field-theory results, and the physical operator agrees at the classical level with the alternative operator defined through the topological-gravity formulation.

Load-bearing premise

The computation assumes that operators built from the classical flow survive quantization with their CFT-like correlation functions intact, and that the most ultraviolet-sensitive terms dominate the momentum-space sum.

Editorial extensions

If this is right

  • Physical operators provide a systematic, symmetry-guided route to correlation functions in $T\bar{T}$-deformed CFTs, replacing the need to act with nonlocal symmetry generators on local operators.
  • The ultraviolet two-point function takes the CFT form with a conformal weight shifted from $h$ to $h + \lambda p\bar p/\pi$, so the deformation acts in momentum space as a momentum-dependent change of dimension.
  • Because the physical operator matches the previously studied field-theory operator at the classical level, the string-theory and field-theory momentum-space results describe the same observable.
  • The result obeys the known flow equation for $T\bar{T}$ correlation functions, tying the non-perturbative correlator to the renormalization-group structure of the deformation.

Reading between the lines

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

  • The same dressing strategy should extend to other current-current deformations, such as $J\bar T$, whose flows generate similar nonlocal coordinates; those theories may also admit local physical operators with computable ultraviolet correlators.
  • Since the shifted dimension depends on momentum, the physical operators are not ordinary primaries in position space; the CFT-like behaviour is an emergent property of the summed leading logs, so the notion of dimension here is intrinsically momentum-dependent.
  • The summation of leading logarithms is not accompanied by a bound on subleading terms, so a fully non-perturbative check would require controlling those terms or an exact resummation.
  • If higher-point functions also come out in dressed-CFT form with shifted weights, the physical operators would realize a deformed conformal representation, giving a structural explanation of $T\bar{T}$-deformed correlation functions.
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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 / 5 minor

Summary. The paper studies T\bar T-deformed CFTs in the Hamiltonian formalism and constructs two classes of operators: dressed operators, which solve the covariant flow equation D_\lambda \tilde O = 0 and transform as primaries under the nonlocal conformal symmetries, and physical operators, defined in eq. (5.1) as local combinations of the undeformed primary with factors built from the stress tensor. The main technical results are the classical Poisson-bracket derivations in Secs. 3--5, including the dressed stress tensor, the nonlocal coordinates \hat u, \hat v, the relation (5.4) expressing physical operators as integrals of dressed operators, and the explicit free-scalar check in Sec. 5.3 identifying the physical operator with the Aharony--Barel operator. In Sec. 6 the authors compute the momentum-space two-point function of physical operators by expanding a Wilson-line-like dressing factor and using CFT Ward identities, then sum the leading logarithmic terms to obtain the nonperturbative UV result (6.25), \langle O(p)O(-p)\rangle \sim \pi\Gamma(1-2h_\lambda)/\Gamma(2h_\lambda) (|p|/2)^{4h_\lambda-2} with h_\lambda = h + \lambda p\bar p/\pi. The authors claim this matches the string-theory result [1] and the large-momentum field-theory result [2].

Significance. If the quantum lift that underlies Sec. 6 can be justified, the paper provides a genuinely useful symmetry-guided framework for computing correlation functions in T\bar T-deformed CFTs: the classical construction is explicit, the free-scalar example is worked out in detail, and the final two-point function reproduces nontrivial results from string theory and path-integral methods. The manuscript is also honest about the main gap: the passage from classical dressed operators to quantum operators with unchanged CFT Ward identities is stated as an expectation (end of Sec. 4) and as a proposal (beginning of Sec. 6), not derived. Because this assumption controls every perturbative coefficient and hence the shifted weight h_\lambda in eq. (6.25), the central quantitative claim is conditional. The agreement with [1] and [2] is strong consistency evidence, but it does not by itself close the gap, especially since the classical equivalence with [2] is shown in Sec. 5.2 and therefore part of the match is by construction.

major comments (3)
  1. [Sec. 6; end of Sec. 4; eqs. (6.1)--(6.11), (6.25)] The computation of the physical correlator relies on an unproven quantum lift: the dressed operator \tilde O_{h,\bar h} is assumed to exist after normal ordering and to remain a CFT primary of weights (h,\bar h) with unchanged correlation functions. The paper states this only as an expectation (end of Sec. 4: 'with an appropriate normal ordering prescription, we expect these operators to exist at the quantum level, and their correlation functions remain the same as in the undeformed CFT2') and as a proposal (beginning of Sec. 6: 'with normal ordering assumed'). The Ward identity (6.11) is applied directly to \tilde O at \lambda\neq 0, and the replacement of dressed stress-tensor components by CFT stress-tensor components after eq. (6.5) is part of the same assumption. No explicit normal-ordering scheme is given beyond the point-splitting prescription (6.9), and no proof is supplied that this prescription preserves the Ward identities, leaves h and \bar h unrenormalized, or produces no additional contact terms. If normal ordering shifts h, or if the factors (1+2\lambda H_R)^h in eq. (5.1) create additional singularities, every F_n and A_n in (6.20)--(6.24) changes, and so does h_\lambda in (6.25). This is a load-bearing gap, not a presentation issue.
  2. [Sec. 6.2, eqs. (6.22)--(6.25)] The nonperturbative result is obtained by summing only the leading logarithmic terms in the polynomials F_n and A_n, with no controlled bound on the subleading terms. The text says the leading log is 'the most UV-sensitive part' at each order, but this does not by itself justify that the subleading terms cannot contribute to the coefficient of |p|^{4h_\lambda-2} or alter the asymptotic form. The Fourier transform of an expression like |x|^{-4h} \theta^{k} with k<n can produce powers of \log |p| that are subleading in a different sense; the paper does not show that the sum of such terms is negligible in the regime where (6.25) is used. A sharper argument, e.g. an all-orders bound or an alternative resummation, is needed to turn (6.25) from a leading-log approximation into a claimed nonperturbative result.
  3. [Sec. 5.2, eqs. (5.12)--(5.19)] The classical equivalence O_{h,\bar h} = O_{AB} is shown in Sec. 5.2 and 5.3, so the agreement of the final two-point function with the large-momentum result of [2] is not an independent check of the operator definition; it is a check of the perturbative computation for an operator already matched to [2] classically. The agreement with the string-theory result [1] remains independent evidence for the framework, but the manuscript should state more explicitly that the match to [2] is partly built into the definition of the physical operator.
minor comments (5)
  1. [Eq. (6.4)] The Fourier kernel in the definition of O_{h,\bar h}(p_L,p_R) reads e^{ip_L u - i p_L v}; from the context and the later Wick rotation, the second phase should be -i p_R v.
  2. [Eq. (5.3)] The delta function is written as \delta(u - u_0, u - v_0); this should presumably be \delta(u - u_0, v - v_0).
  3. [Sec. 2.1 and Sec. 3.1] There are typos such as 'Possion brackets' and 'f lowedoperators'; these should be corrected to 'Poisson brackets' and 'flowed operators'.
  4. [Sec. 5.1, below eq. (5.4)] The sentence 'We can rename u, v on the right hand side as \sigma^\pm are dummy variables' is confusing because u and v are not dummy variables in that equation; the renaming concerns only the integration variables \sigma^\pm.
  5. [Eqs. (4.17) and (4.19)] The notation in eq. (4.17), where \tilde O_{h,\bar h}(\hat u, \hat v) is defined by replacement of arguments in the series (4.12), would benefit from an explicit statement that \hat u and \hat v are field-dependent coordinates, so that the left-hand side is not an ordinary function evaluation.

Circularity Check

1 steps flagged · score 2.0 of 10

Equivalence to the Aharony-Barel operator is partly definitional via the O_CFT ↔ tilde-O identification (5.18), and the corroborating string-theory reference shares an author; the two-point-function derivation itself is an independent series computation.

  1. self definitional [Sec. 5.2, eqs. (5.4), (5.12), (5.18), (5.19)]
    "This also suggests that we identify the CFT operators with the dressed operators, as OCFT(σ+, σ−) ↔ O˜(uˆ, vˆ) = O(0)(u,v)/((1+2λHR)^h(1+2λHL)^h̄) ... Then the physical operator (5.4) we defined indeed agrees with (5.12) at the classical level, O(u,v) = OAB(u,v) (5.19)."

    The claimed classical equality O(u,v)=O_AB(u,v) is obtained by identifying the CFT operator in the Aharony-Barel definition (5.12) with the dressed operator tilde-O via (5.18). Since the physical operator (5.4) is defined as the integral of tilde-O against δ(U-u,V-v), substituting (5.18) into (5.12) turns the AB operator into exactly the physical operator up to the worldsheet measure. Thus the agreement with [2] is a consequence of the chosen identification, not an independent derivation. This does not affect the later series computation of the two-point function, but it does mean that the statement that the physical operator 'agrees with' the field-theory operator is partly definitional.

full rationale

The central correlator computation is self-contained and not circular: given the dressed-operator Ward identity (6.11), the expansion (6.7)-(6.8), the perturbative calculations (6.13)-(6.19), and the leading-log summation (6.22)-(6.25) are explicit manipulations with no fitted parameters; the shifted weight h_lambda in (6.25) emerges from summing the leading logs rather than being inserted by hand. The main caveats are two. First, the classical-to-quantum lift of the dressed operators is asserted rather than proved: the paper states at the end of Sec. 4 that 'with an appropriate normal ordering prescription, we expect that these operators exist at the quantum level, and their correlation functions remain the same as in the undeformed CFT2,' and at the beginning of Sec. 6 that 'we propose that the quantum version of the physical operator is related to the dressed operator by the same relation as the classical ones, but with normal ordering assumed.' This is a rigor gap, not a circularity. Second, the corroborating string-theory result [1] shares an author (W. Song) with the present paper, so it is not independent evidence, but the derivation does not rely on [1] as an input. The classical equivalence with [2] in Sec. 5.2 is partly built into the O_CFT-tilde-O identification, which justifies a low nonzero score but does not undermine the independent two-point-function computation.

Assumptions & free parameters 0 free parameters · 5 assumptions · 0 invented entities

The central claim rests on classical Poisson-bracket results that are standard in the T-bar literature, plus several ad hoc assumptions at the quantum level: the CFT-like correlation functions of dressed operators, the validity of the normal-ordering prescription, and the dominance of leading logarithms in the UV sum. No free parameters are fitted; lambda and h are inputs from the theory. No new physical entities such as new particles or forces are introduced.

assumptions (5)
  • domain assumption Classical Hamiltonian formalism with Poisson brackets is valid for the T-bar deformed theory, and on the plane with R to infinity the Y term in eq. (2.7) vanishes, so the deformation is a canonical transformation.
    Used throughout Secs. 2-4 to derive the flow equations and the dressed operator construction.
  • ad hoc to paper After an appropriate normal ordering, dressed operators exist at the quantum level and their correlation functions remain the same as in the undeformed CFT.
    Stated as an expectation at the end of Sec. 4 and used in Sec. 6 to compute physical correlators. No proof is given.
  • ad hoc to paper The point-splitting normal-ordering prescription in eq. (6.9), with the log-epsilon divergence subtracted, is well-defined and preserves the CFT Ward identities.
    Introduced in Sec. 6 without a derivation of its consistency; the bare subtraction is left implicit.
  • ad hoc to paper The leading logarithmic terms in the perturbative expansion dominate the UV two-point function at every order, so summing them gives the non-perturbative result.
    Used in Sec. 6.2 to pass from eq. (6.23) to eq. (6.25). The paper does not bound the subleading terms; the assumption is that they are subdominant in the UV.
  • domain assumption The equations U(sigma+, sigma-) = u and V(sigma+, sigma-) = v have a unique solution, so the delta function in eq. (5.4) localizes to a single point.
    Explicitly assumed in footnote 5 of Sec. 5.1; needed to invert the nonlocal coordinate transformation.

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Pith. "Pith review of Symmetries and operators in $T\bar{T}$ deformed CFTs." pith.science (2026). https://pith.science/paper/7FEGMIPC

@misc{pith2026250708588,
  author       = {Pith},
  title        = {Pith review of: Symmetries and operators in $T\barT$ deformed CFTs},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/7FEGMIPC}},
  note         = {Machine review of arXiv:2507.08588}
}
abstract

$T\bar{T}$-deformed CFTs are known to possess nonlocal conformal symmetries that do not act tractably on the undeformed local operators. In this paper, we explicitly construct two distinct classes of operators: (i) dressed operators, which are primary operators with respect to the nonlocal conformal symmetries, and (ii) physical operators, a new type of local operator we introduce. While the dressed operators preserve the conformal symmetry structure, they are themselves nonlocal. The physical operators, by contrast, are local and can be expressed in terms of the dressed operators. We calculate the two-point correlation functions of these operators in momentum space and find that our results align with both string theory predictions and field theory calculations. Additionally, we explore the relationship between physical operators and alternative operator definitions proposed in the literature.

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Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Nonperturbative effects in $T\bar{T}$-deformed conformal field theories: A toy model for Planckian physics

    hep-th 2025-07 conditional novelty 6.0 of 10

    A resummed two-point correlator in T-bar-T deformed CFT exhibits oscillation then logarithmic suppression at scales below the Planck length, with an effective distance that depends only logarithmically on separation.

  2. $T\bar{T}$-deformed correlators from a 2D gravity description

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    Using a massive gravity formulation, the paper derives all-order leading-logarithmic T-bar-T corrections to two- and three-point CFT correlators, reproducing the known two-point result and obtaining a new closed form ...

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Works this paper leans on

64 extracted references · 6 canonical work pages · cited by 2 Pith papers

  1. [1]

    W. Cui, H. Shu, W. Song and J. Wang, Correlation functions in the TsT /T T correspondence, JHEP 04 (2024) 017 [ 2304.04684]

    arXiv 2024

  2. [2]

    Aharony and N

    O. Aharony and N. Barel, Correlation functions in T T-deformed Conformal Field Theories , JHEP 08 (2023) 035 [ 2304.14091]

    arXiv 2023

  3. [3]

    A. B. Zamolodchikov, Expectation value of composite field T anti-T in two-dimensional quantum field theory , hep-th/0401146

    arXiv

  4. [4]

    F. A. Smirnov and A. B. Zamolodchikov, On space of integrable quantum field theories , Nucl. Phys. B 915 (2017) 363 [ 1608.05499]

    arXiv 2017

  5. [5]

    Cavagli` a, S

    A. Cavagli` a, S. Negro, I. M. Sz´ ecs´ enyi and R. Tateo,T ¯T -deformed 2D Quantum Field Theories, JHEP 10 (2016) 112 [ 1608.05534]

    arXiv 2016

  6. [6]

    Datta and Y

    S. Datta and Y. Jiang, T ¯T deformed partition functions , JHEP 08 (2018) 106 [ 1806.07426]

    arXiv 2018

  7. [7]

    Aharony, S

    O. Aharony, S. Datta, A. Giveon, Y. Jiang and D. Kutasov, Modular invariance and uniqueness of T ¯T deformed CFT, JHEP 01 (2019) 086 [ 1808.02492]. – 32 –

    arXiv 2019

  8. [8]

    Apolo, W

    L. Apolo, W. Song and B. Yu, On the universal behavior of T T -deformed CFTs: single and double-trace partition functions at large c , JHEP 05 (2023) 210 [ 2301.04153]

    arXiv 2023

Show all 64 references
  1. [9]

    Dubovsky, R

    S. Dubovsky, R. Flauger and V. Gorbenko, Solving the Simplest Theory of Quantum Gravity , JHEP 09 (2012) 133 [ 1205.6805]

    2012 arXiv

  2. [10]

    Dubovsky, V

    S. Dubovsky, V. Gorbenko and M. Mirbabayi, Natural Tuning: Towards A Proof of Concept , JHEP 09 (2013) 045 [ 1305.6939]

    2013 arXiv

  3. [11]

    Dubovsky, V

    S. Dubovsky, V. Gorbenko and M. Mirbabayi, Asymptotic fragility, near AdS 2 holography and T T , JHEP 09 (2017) 136 [ 1706.06604]

    2017 arXiv

  4. [12]

    Cardy, The T T deformation of quantum field theory as random geometry , JHEP 10 (2018) 186 [ 1801.06895]

    J. Cardy, The T T deformation of quantum field theory as random geometry , JHEP 10 (2018) 186 [ 1801.06895]

    2018 arXiv

  5. [13]

    Guica and R

    M. Guica and R. Monten, T ¯T and the mirage of a bulk cutoff , SciPost Phys. 10 (2021) 024 [1906.11251]

    2021 arXiv

  6. [14]

    McGough, M

    L. McGough, M. Mezei and H. Verlinde, Moving the CFT into the bulk with T T , JHEP 04 (2018) 010 [ 1611.03470]

    2018 arXiv

  7. [15]

    Apolo, P.-X

    L. Apolo, P.-X. Hao, W.-X. Lai and W. Song, Glue-on AdS holography for T T -deformed CFTs, JHEP 06 (2023) 117 [ 2303.04836]

    2023 arXiv

  8. [16]

    Giveon, N

    A. Giveon, N. Itzhaki and D. Kutasov, T T and LST , JHEP 07 (2017) 122 [ 1701.05576]

    2017 arXiv

  9. [17]

    Benjamin, S

    N. Benjamin, S. Collier, J. Kruthoff, H. Verlinde and M. Zhang, S-duality in T T -deformed CFT, JHEP 05 (2023) 140 [ 2302.09677]

    2023 arXiv

  10. [18]

    Lunin and J

    O. Lunin and J. M. Maldacena, Deforming field theories with U(1) x U(1) global symmetry and their gravity duals , JHEP 05 (2005) 033 [ hep-th/0502086]

    2005 arXiv

  11. [19]

    Maldacena, D

    J. Maldacena, D. Martelli and Y. Tachikawa, Comments on string theory backgrounds with non-relativistic conformal symmetry , JHEP 10 (2008) 072 [ 0807.1100]

    2008 arXiv

  12. [20]

    Apolo and W

    L. Apolo and W. Song, Strings on warped AdS 3 via T¯J deformations, JHEP 10 (2018) 165 [1806.10127]

    2018 arXiv

  13. [21]

    Araujo, E

    T. Araujo, E. O. Colg´ ain, Y. Sakatani, M. M. Sheikh-Jabbari and H. Yavartanoo, Holographic integration of T ¯T \& J ¯T via O(d, d), JHEP 03 (2019) 168 [ 1811.03050]

    2019 arXiv

  14. [22]

    Borsato and L

    R. Borsato and L. Wulff, Marginal deformations of WZW models and the classical Yang–Baxter equation, J. Phys. A 52 (2019) 225401 [ 1812.07287]

    2019 arXiv

  15. [23]

    Apolo, S

    L. Apolo, S. Detournay and W. Song, TsT, T ¯T and black strings , JHEP 06 (2020) 109 [1911.12359]

    2020 arXiv

  16. [24]

    Giveon, N

    A. Giveon, N. Itzhaki and D. Kutasov, A solvable irrelevant deformation of AdS 3/CFT2, JHEP 12 (2017) 155 [ 1707.05800]

    2017 arXiv

  17. [25]

    Apolo and W

    L. Apolo and W. Song, TsT, black holes, and T T + JT + T J, JHEP 04 (2022) 177 [2111.02243]

    2022 arXiv

  18. [26]

    Chakraborty, A

    S. Chakraborty, A. Giveon and D. Kutasov, T T , black holes and negative strings , JHEP 09 (2020) 057 [ 2006.13249]

    2020 arXiv

  19. [27]

    Chakraborty, A

    S. Chakraborty, A. Giveon and D. Kutasov, Comments on single-trace T T holography, JHEP 06 (2023) 018 [ 2303.12422]

    2023 arXiv

  20. [28]

    Chang, C

    C.-K. Chang, C. Ferko and S. Sethi, Holography and irrelevant operators, Phys. Rev. D 107 (2023) 126021 [ 2302.03041]. – 33 –

    2023 arXiv

  21. [29]

    Chakraborty, A

    S. Chakraborty, A. Giveon and D. Kutasov, Momentum in Single-trace T ¯T Holography, Nucl. Phys. B 998 (2024) 116405 [ 2304.09212]

    2024 arXiv

  22. [30]

    Guica, R

    M. Guica, R. Monten and I. Tsiares, Classical and quantum symmetries of T ¯T -deformed CFTs, 2212.14014

    arXiv

  23. [31]

    Georgescu and M

    S. Georgescu and M. Guica, Infinite T ¯T-like symmetries of compactified LST , SciPost Phys. 16 (2024) 006 [ 2212.09768]

    2024 arXiv

  24. [32]

    Du, W.-X

    Z. Du, W.-X. Lai, K. Liu and W. Song, Asymptotic Symmetries in the TsT/ T ¯T Correspondence, SciPost Phys. 18 (2025) 049 [ 2407.19495]

    2025 arXiv

  25. [33]

    Jiang, T ¯T Deformation: A Lattice Approach , Symmetry 15 (2023) 2212 [ 2312.12078]

    Y. Jiang, T ¯T Deformation: A Lattice Approach , Symmetry 15 (2023) 2212 [ 2312.12078]

    2023 arXiv

  26. [34]

    S. He, Y. Li, H. Ouyang and Y. Sun, T T Deformation: Introduction and Some Recent Advances, 2503.09997

    arXiv

  27. [35]

    Brizio, T

    N. Brizio, T. Morone and R. Tateo, Stress-energy tensor deformations, Ricci flows and black holes, 2408.06031

    arXiv

  28. [36]

    Guica and R

    M. Guica and R. Monten, Infinite pseudo-conformal symmetries of classical T ¯T , J ¯T and J Ta - deformed CFTs , SciPost Phys. 11 (2021) 078 [ 2011.05445]

    2021 arXiv

  29. [37]

    Monten, R

    R. Monten, R. M. Myers and K. Roumpedakis, Locality and Conserved Charges in T T -Deformed CFTs, 2411.06261

  30. [38]

    Kraus, R

    P. Kraus, R. Monten and R. M. Myers, 3D Gravity in a Box , SciPost Phys. 11 (2021) 070 [2103.13398]

    2021 arXiv

  31. [39]

    Z. Du, K. Liu and W. Song, Asymptotic symmetries from the string worldsheet , JHEP 08 (2024) 183 [ 2403.18396]

    2024 arXiv

  32. [40]

    Kraus, J

    P. Kraus, J. Liu and D. Marolf, Cutoff AdS3 versus the T T deformation, JHEP 07 (2018) 027 [1801.02714]

    2018 arXiv

  33. [41]

    B. Chen, L. Chen and P.-X. Hao, Entanglement entropy in T T -deformed CFT, Phys. Rev. D 98 (2018) 086025 [ 1807.08293]

    2018 arXiv

  34. [42]

    He and H

    S. He and H. Shu, Correlation functions, entanglement and chaos in the T T /JT -deformed CFTs, JHEP 02 (2020) 088 [ 1907.12603]

    2020 arXiv

  35. [43]

    He and Y

    S. He and Y. Sun, Correlation functions of CFTs on a torus with a T T deformation, Phys. Rev. D 102 (2020) 026023 [ 2004.07486]

    2020 arXiv

  36. [44]

    S. He, Y. Sun and J. Yin, Systematic approach to correlators in TT ¯ deformed CFTs, Phys. Rev. D 111 (2025) 086016 [ 2310.20516]

    2025 arXiv

  37. [45]

    Cardy, T ¯T deformation of correlation functions , JHEP 12 (2019) 160 [ 1907.03394]

    J. Cardy, T ¯T deformation of correlation functions , JHEP 12 (2019) 160 [ 1907.03394]

    2019 arXiv

  38. [46]

    Barel, Correlation functions in T T-deformed theories on the torus , JHEP 11 (2024) 167 [2407.15090]

    N. Barel, Correlation functions in T T-deformed theories on the torus , JHEP 11 (2024) 167 [2407.15090]

    2024 arXiv

  39. [47]

    Kruthoff and O

    J. Kruthoff and O. Parrikar, On the flow of states under T T , 2006.03054

    2006 arXiv

  40. [48]

    L. Chen, Z. Du, K. Liu and W. Song, To appear soon, 25XX.XXXXX

  41. [49]

    Dubovsky, V

    S. Dubovsky, V. Gorbenko and G. Hern´ andez-Chifflet,T T partition function from topological gravity, JHEP 09 (2018) 158 [ 1805.07386]

    2018 arXiv

  42. [50]

    Callebaut, J

    N. Callebaut, J. Kruthoff and H. Verlinde, T T deformed CFT as a non-critical string , JHEP 04 (2020) 084 [ 1910.13578]. – 34 –

    2020 arXiv

  43. [51]

    Jorjadze and S

    G. Jorjadze and S. Theisen, Canonical maps and integrability in T ¯T deformed 2d CFTs. , 2001.03563

    2001 arXiv

  44. [52]

    Esper and S

    C. Esper and S. Frolov, T T deformations of non-relativistic models , JHEP 06 (2021) 101 [2102.12435]

    2021 arXiv

  45. [53]

    Hartman, J

    T. Hartman, J. Kruthoff, E. Shaghoulian and A. Tajdini, Holography at finite cutoff with a T 2 deformation, JHEP 03 (2019) 004 [ 1807.11401]

    2019 arXiv

  46. [54]

    Taylor, T ¯T deformations in general dimensions , Adv

    M. Taylor, T ¯T deformations in general dimensions , Adv. Theor. Math. Phys. 27 (2023) 37 [1805.10287]

    2023 arXiv

  47. [55]

    D. J. Gross, J. Kruthoff, A. Rolph and E. Shaghoulian, Hamiltonian deformations in quantum mechanics, T ¯T , and the SYK model , Phys. Rev. D 102 (2020) 046019 [1912.06132]

    2020 arXiv

  48. [56]

    Guica, An integrable Lorentz-breaking deformation of two-dimensional CFTs , SciPost Phys

    M. Guica, An integrable Lorentz-breaking deformation of two-dimensional CFTs , SciPost Phys. 5 (2018) 048 [ 1710.08415]

    2018 arXiv

  49. [57]

    Chakraborty, A

    S. Chakraborty, A. Giveon and D. Kutasov, JT deformed CFT2 and string theory , JHEP 10 (2018) 057 [ 1806.09667]

    2018 arXiv

  50. [58]

    Chakraborty, A

    S. Chakraborty, A. Giveon and D. Kutasov, T ¯T , J ¯T , T ¯J and String Theory , J. Phys. A 52 (2019) 384003 [ 1905.00051]

    2019 arXiv

  51. [59]

    Le Floch and M

    B. Le Floch and M. Mezei, Solving a family of T ¯T -like theories, 1903.07606

    1903 arXiv

  52. [60]

    Frolov, T T , eJ J, J Tand eJ Tdeformations, J

    S. Frolov, T T , eJ J, J Tand eJ Tdeformations, J. Phys. A 53 (2020) 025401 [ 1907.12117]

    2020 arXiv

  53. [61]

    Georgescu and M

    S. Georgescu and M. Guica, Classical J ¯T symmetries – three ways – and a precision holography check, 2412.21176

    arXiv

  54. [62]

    Guica, Symmetries versus the spectrum of J ¯T -deformed CFTs, SciPost Phys

    M. Guica, Symmetries versus the spectrum of J ¯T -deformed CFTs, SciPost Phys. 10 (2021) 065 [2012.15806]

    2021 arXiv

  55. [63]

    Guica, A definition of primary operators in J ¯T -deformed CFTs, SciPost Phys

    M. Guica, A definition of primary operators in J ¯T -deformed CFTs, SciPost Phys. 13 (2022) 045 [2112.14736]

    2022 arXiv

  56. [64]

    Seiberg and E

    N. Seiberg and E. Witten, String theory and noncommutative geometry , JHEP 09 (1999) 032 [hep-th/9908142]. – 35 –

    1999 arXiv

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