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 Trudy Mat. Inst. Steklova, 2020, Volume 309, Pages 120–140 (Mi tm4083)

$T\overline T$ Deformation and the Light-Cone Gauge

Sergey A. Frolovab

a School of Mathematics and Hamilton Mathematics Institute, Trinity College, 17 Westland Row, Dublin 2, Ireland
b Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: The homogeneous inviscid Burgers equation, which determines the spectrum of a $T\overline T$ deformed model, has a natural interpretation as the condition of the gauge invariance of the target space–time energy and momentum of a (non-critical) string theory quantised in a generalised uniform light-cone gauge which depends on the deformation parameter. As a simple application of the light-cone gauge interpretation, we derive the $T\overline T$ deformed Lagrangian for a system of any number of scalars, fermions and chiral bosons with an arbitrary potential. We find that the $T\overline T$ deformation is driven by the canonical Noether stress–energy tensor but not the covariant one.

DOI: https://doi.org/10.4213/tm4083

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English version:
Proceedings of the Steklov Institute of Mathematics, 2020, 309, 107–126

Bibliographic databases:

UDC: 530.145
Revised: August 7, 2019
Accepted: February 8, 2020

Citation: Sergey A. Frolov, “$T\overline T$ Deformation and the Light-Cone Gauge”, Modern problems of mathematical and theoretical physics, Collected papers. On the occasion of the 80th birthday of Academician Andrei Alekseevich Slavnov, Trudy Mat. Inst. Steklova, 309, Steklov Math. Inst. RAS, Moscow, 2020, 120–140; Proc. Steklov Inst. Math., 309 (2020), 107–126

Citation in format AMSBIB
\Bibitem{Fro20} \by Sergey~A.~Frolov \paper $T\overline T$ Deformation and the Light-Cone Gauge \inbook Modern problems of mathematical and theoretical physics \bookinfo Collected papers. On the occasion of the 80th birthday of Academician Andrei Alekseevich Slavnov \serial Trudy Mat. Inst. Steklova \yr 2020 \vol 309 \pages 120--140 \publ Steklov Math. Inst. RAS \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm4083} \crossref{https://doi.org/10.4213/tm4083} \elib{https://elibrary.ru/item.asp?id=45367499} \transl \jour Proc. Steklov Inst. Math. \yr 2020 \vol 309 \pages 107--126 \crossref{https://doi.org/10.1134/S0081543820030098} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000557522500009} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85089240248} 

• http://mi.mathnet.ru/eng/tm4083
• https://doi.org/10.4213/tm4083
• http://mi.mathnet.ru/eng/tm/v309/p120

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This publication is cited in the following articles:
1. Bocconcello M., Masuda I., Seibold F.K., Sfondrini A., “S Matrix For a Three-Parameter Integrable Deformation of Ads(3) X S-3 Strings”, J. High Energy Phys., 2020, no. 11, 22
2. Ouyang H., Shu H., “Tt<Mml:Mo Stretchy="False"><Overbar></Mml:Mover> Deformation of Chiral Bosons and Chern-Simons Ads3 Gravity”, Eur. Phys. J. C, 80:12 (2020), 1155
3. Chakrabarti S., Gupta D., Manna A., Raman M., “Irrelevant Deformations of Chiral Bosons”, J. High Energy Phys., 2021, no. 2, 28
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