Abstract
We show that at the level of the equations of motion (i.e. classically), in the limit in which the \( \mathrm{T}\overline{\mathrm{T}} \) deformation parameter is sent to infinity, the left- and right-chiral sectors of \( \mathrm{T}\overline{\mathrm{T}} \)-deformed free theories decouple.
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References
A.B. Zamolodchikov, Expectation value of composite field \( T\overline{T} \)in two-dimensional quantum field theory, hep-th/0401146 [INSPIRE].
A. Cavaglià, S. Negro, I.M. Szécsényi and R. Tateo, \( T\overline{T} \)-deformed 2D Quantum Field Theories, JHEP10 (2016) 112 [arXiv:1608.05534] [INSPIRE].
G. Bonelli, N. Doroud and M. Zhu, \( T\overline{T} \)-deformations in closed form, JHEP06 (2018) 149 [arXiv:1804.10967] [INSPIRE].
R. Conti, L. Iannella, S. Negro and R. Tateo, Generalised Born-Infeld models, Lax operators and the \( \mathrm{T}\overline{\mathrm{T}} \)perturbation, JHEP11 (2018) 007 [arXiv:1806.11515] [INSPIRE].
F.A. Smirnov and A.B. Zamolodchikov, On space of integrable quantum field theories, Nucl. Phys.B 915 (2017) 363 [arXiv:1608.05499] [INSPIRE].
S. Dubovsky, R. Flauger and V. Gorbenko, Solving the Simplest Theory of Quantum Gravity, JHEP09 (2012) 133 [arXiv:1205.6805] [INSPIRE].
S. Dubovsky, V. Gorbenko and M. Mirbabayi, Natural Tuning: Towards A Proof of Concept, JHEP09 (2013) 045 [arXiv:1305.6939] [INSPIRE].
S. Dubovsky, V. Gorbenko and M. Mirbabayi, Asymptotic fragility, near AdS2holography and \( T\overline{T} \), JHEP09 (2017) 136 [arXiv:1706.06604] [INSPIRE].
V. Rosenhaus and M. Smolkin, Integrability and Renormalization under \( T\overline{T} \), arXiv:1909.02640 [INSPIRE].
J. Cardy, The \( T\overline{T} \)deformation of quantum field theory as random geometry, JHEP10 (2018) 186 [arXiv:1801.06895] [INSPIRE].
S. Datta and Y. Jiang, \( T\overline{T} \)deformed partition functions, JHEP08 (2018) 106 [arXiv:1806.07426] [INSPIRE].
O. Aharony, S. Datta, A. Giveon, Y. Jiang and D. Kutasov, Modular invariance and uniqueness of \( T\overline{T} \)deformed CFT, JHEP01 (2019) 086 [arXiv:1808.02492] [INSPIRE].
L. McGough, M. Mezei and H. Verlinde, Moving the CFT into the bulk with \( T\overline{T} \), JHEP04 (2018) 010 [arXiv:1611.03470] [INSPIRE].
P. Kraus, J. Liu and D. Marolf, Cutoff AdS3versus the \( T\overline{T} \)deformation, JHEP07 (2018) 027 [arXiv:1801.02714] [INSPIRE].
M. Taylor, TT deformations in general dimensions, arXiv:1805.10287 [INSPIRE].
T. Hartman, J. Kruthoff, E. Shaghoulian and A. Tajdini, Holography at finite cutoff with a T2deformation, JHEP03 (2019) 004 [arXiv:1807.11401] [INSPIRE].
P. Caputa, S. Datta and V. Shyam, Sphere partition functions & cut-off AdS, JHEP05 (2019) 112 [arXiv:1902.10893] [INSPIRE].
A. Giveon, N. Itzhaki and D. Kutasov, \( \mathrm{T}\overline{\mathrm{T}} \)and LST, JHEP07 (2017) 122 [arXiv:1701.05576] [INSPIRE].
A. Giveon, N. Itzhaki and D. Kutasov, A solvable irrelevant deformation of AdS3/CFT2, JHEP12 (2017) 155 [arXiv:1707.05800] [INSPIRE].
M. Asrat, A. Giveon, N. Itzhaki and D. Kutasov, Holography Beyond AdS, Nucl. Phys.B 932 (2018) 241 [arXiv:1711.02690] [INSPIRE].
G. Giribet, \( T\overline{T} \)-deformations, AdS/CFT and correlation functions, JHEP02 (2018) 114 [arXiv:1711.02716] [INSPIRE].
S. Chakraborty, A. Giveon, N. Itzhaki and D. Kutasov, Entanglement beyond AdS, Nucl. Phys.B 935 (2018) 290 [arXiv:1805.06286] [INSPIRE].
S. Chakraborty, Wilson loop in a \( T\overline{T} \)like deformed CFT2 , Nucl. Phys.B 938 (2019) 605 [arXiv:1809.01915] [INSPIRE].
M. Baggio, A. Sfondrini, G. Tartaglino-Mazzucchelli and H. Walsh, On \( T\overline{T} \)deformations and supersymmetry, JHEP06 (2019) 063 [arXiv:1811.00533] [INSPIRE].
C.-K. Chang, C. Ferko and S. Sethi, Supersymmetry and \( T\overline{T} \)deformations, JHEP04 (2019) 131 [arXiv:1811.01895] [INSPIRE].
H. Jiang, A. Sfondrini and G. Tartaglino-Mazzucchelli, \( T\overline{T} \)deformations with \( \mathcal{N} \) = (0, 2) supersymmetry, Phys. Rev.D 100 (2019) 046017 [arXiv:1904.04760] [INSPIRE].
C.-K. Chang, C. Ferko, S. Sethi, A. Sfondrini and G. Tartaglino-Mazzucchelli, \( T\overline{T} \)flows and (2,2) supersymmetry, Phys. Rev.D 101 (2020) 026008 [arXiv:1906.00467] [INSPIRE].
C. Ferko, H. Jiang, S. Sethi and G. Tartaglino-Mazzucchelli, Non-linear supersymmetry and \( T\overline{T} \)-like flows, JHEP02 (2020) 016 [arXiv:1910.01599] [INSPIRE].
E.A. Coleman, J. Aguilera-Damia, D.Z. Freedman and R.M. Soni, \( T\overline{T} \)-deformed actions and (1,1) supersymmetry, JHEP10 (2019) 080 [arXiv:1906.05439] [INSPIRE].
Y. Jiang, Lectures on solvable irrelevant deformations of 2d quantum field theory, arXiv:1904.13376 [INSPIRE].
P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory, Graduate Texts in Contemporary Physics, Springer-Verlag, New York, U.S.A., (1997).
T.D. Brennan, C. Ferko and S. Sethi, A Non-Abelian Analogue of DBI from \( T\overline{T} \) , SciPost Phys.8 (2020) 052 [arXiv:1912.12389] [INSPIRE].
E. Beratto, M. Billó’ and M. Caselle, On the \( T\overline{T} \)deformation of the compactified boson and its interpretation in Lattice Gauge Theory, arXiv:1912.08654 [INSPIRE].
P.K. Townsend, Manifestly Lorentz invariant chiral boson action, Phys. Rev. Lett.124 (2020) 101604 [arXiv:1912.04773] [INSPIRE].
G. Jorjadze and S. Theisen, Canonical maps and integrability in \( T\overline{T} \)deformed 2d CFTs, arXiv:2001.03563 [INSPIRE].
R. Floreanini and R. Jackiw, Selfdual Fields as Charge Density Solitons, Phys. Rev. Lett.59 (1987) 1873 [INSPIRE].
N. Cribiori, F. Farakos and R. von Unge, 2D Volkov-Akulov Model as a \( T\overline{T} \)Deformation, Phys. Rev. Lett.123 (2019) 201601 [arXiv:1907.08150] [INSPIRE].
N. Callebaut, J. Kruthoff and H. Verlinde, \( T\overline{T} \)deformed CFT as a non-critical string, JHEP04 (2020) 084 [arXiv:1910.13578] [INSPIRE].
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Chakrabarti, S., Raman, M. Chiral decoupling from irrelevant deformations. J. High Energ. Phys. 2020, 190 (2020). https://doi.org/10.1007/JHEP04(2020)190
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DOI: https://doi.org/10.1007/JHEP04(2020)190