Geometric Formulation of Generalized Root-<math display="inline"><mi>T</mi><mover accent="true"><mi>T</mi><mo stretchy="false">¯</mo></mover></math> Deformations - INSPIRE

DataBETA

Geometric Formulation of Generalized Root- $T \bar{T}$ Deformations

H. Babaei-Aghbolagh
(
- Mohaghegh Ardabili U.
)
,
Song He
(
- Jilin U. and
- Potsdam, Max Planck Inst.
)
,
Tommaso Morone
(
- INFN, Turin
)
,
Hao Ouyang
(
- Jilin U.
)
,
Roberto Tateo
(
- INFN, Turin
)

May 6, 2024

11 pages

Published in:

Phys.Rev.Lett. 133 (2024) 11, 111602

Published: Sep 12, 2024

e-Print:

2405.03465 [hep-th]

DOI:

10.1103/PhysRevLett.133.111602 (publication)

View in:

ADS Abstract Service

reference search23 citations

Citations per year

Abstract: (APS)

We develop a generic geometric formalism that incorporates both

T \bar{T}

-like and root-

T \bar{T}

-like deformations in arbitrary dimensions. This framework applies to a wide family of stress-energy tensor perturbations and encompasses various well-known field theories. Building upon the recently proposed correspondence between Ricci-based gravity and

T \bar{T}

-like deformations, we further extend this duality to include root-

T \bar{T}

-like perturbations. This refinement extends the potential applications of our approach and contributes to a deeper exploration of the interplay between stress tensor perturbations and gravitational dynamics. Among the various original outcomes detailed in this Letter, we have also obtained a deformation of the flat Jackiw-Teitelboim gravity action.

Note:

11 pages, no figures; v2: references added

perturbation: tensor
tensor: energy-momentum
gravitation: action
deformation
buildings
duality
family

References(67)

Figures(0)

[1]

$T \bar{T}$ -deformed 2D Quantum Field Theories

Andrea Cavaglià
(
- INFN, Turin and
- Turin U.
)
,
Stefano Negro
(
- Ecole Normale Superieure and
- UPMC, Paris (main)
)
,
István M. Szécsényi
(
- Durham U., Dept. of Math.
)
,
Roberto Tateo
(
- INFN, Turin and
- Turin U.
)

- JHEP 10 (2016) 112
•
e-Print:
- 1608.05534
•
DOI:
- 10.1007/JHEP10(2016)112

[2]

On space of integrable quantum field theories

F.A. Smirnov
(
- Paris, LPTHE
)
,
A.B. Zamolodchikov
(
- Rutgers U., Piscataway and
- IITP, Moscow
)

- Nucl.Phys.B 915 (2017) 363-383,
- Nucl.Phys.B 915 (2017) 363-383
•
e-Print:
- 1608.05499
•
DOI:
- 10.1016/j.nuclphysb.2016.12.014

[3]

Expectation value of composite field T anti-T in two-dimensional quantum field theory

Alexander B. Zamolodchikov
(
- Bonn U.
)

e-Print:
- hep-th/0401146

[4]

$T \bar{T}$ -deformations in closed form

Giulio Bonelli
(
- INFN, Trieste and
- SISSA, Trieste
)
,
Nima Doroud
(
- INFN, Trieste and
- SISSA, Trieste
)
,
Mengqi Zhu
(
- INFN, Trieste and
- SISSA, Trieste
)

- JHEP 06 (2018) 149
•
e-Print:
- 1804.10967
•
DOI:
- 10.1007/JHEP06(2018)149

[5]

Generalised Born-Infeld models, Lax operators and the $\mathrm{T}\overline{\mathrm{T}}$ perturbation

Riccardo Conti
(
- INFN, Turin and
- Turin U.
)
,
Leonardo Iannella
(
- INFN, Turin and
- Turin U.
)
,
Stefano Negro
(
- INFN, Turin and
- Turin U.
)
,
Roberto Tateo
(
- INFN, Turin and
- Turin U.
)

- JHEP 11 (2018) 007
•
e-Print:
- 1806.11515
•
DOI:
- 10.1007/JHEP11(2018)007

[6]

The $\mathrm{T}\overline{\mathrm{T}}$ perturbation and its geometric interpretation

Riccardo Conti
(
- INFN, Turin and
- Turin U.
)
,
Stefano Negro
(
- YITP, Stony Brook
)
,
Roberto Tateo
(
- INFN, Turin and
- Turin U.
)

- JHEP 02 (2019) 085
•
e-Print:
- 1809.09593
•
DOI:
- 10.1007/JHEP02(2019)085

[7]

The $T\overline{T}$ deformation of quantum field theory as random geometry

John Cardy
(
- UC, Berkeley and
- Unlisted, UK
)

- JHEP 10 (2018) 186
•
e-Print:
- 1801.06895
•
DOI:
- 10.1007/JHEP10(2018)186

[8]

$T\bar{T}$ deformed partition functions

Shouvik Datta
(
- Zurich, ETH
)
,
Yunfeng Jiang
(
- Zurich, ETH
)

- JHEP 08 (2018) 106
•
e-Print:
- 1806.07426
•
DOI:
- 10.1007/JHEP08(2018)106

[9]

Modular invariance and uniqueness of $T\bar{T}$ deformed CFT

Ofer Aharony
(
- Weizmann Inst.
)
,
Shouvik Datta
(
- Zurich, ETH
)
,
Amit Giveon
(
- Hebrew U.
)
,
Yunfeng Jiang
(
- Zurich, ETH
)
,
David Kutasov
(
- Chicago U. and
- Chicago U., EFI
)

- JHEP 01 (2019) 086
•
e-Print:
- 1808.02492
•
DOI:
- 10.1007/JHEP01(2019)086

[10]

$T \overline{T}$ -flow effects on torus partition functions

Song He
(
- Jilin U. and
- Potsdam, Max Planck Inst.
)
,
Yuan Sun
(
- SYSU, Guangzhou and
- Jilin U.
)
,
Yu-Xuan Zhang
(
- Jilin U.
)

- JHEP 09 (2021) 061
•
e-Print:
- 2011.02902
•
DOI:
- 10.1007/JHEP09(2021)061

[11]

Strings on NS-NS Backgrounds as Integrable Deformations

Marco Baggio
(
- Leuven U.
)
,
Alessandro Sfondrini
(
- Zurich, ETH
)

- Phys.Rev.D 98 (2018) 2, 021902
•
e-Print:
- 1804.01998
•
DOI:
- 10.1103/PhysRevD.98.021902

[12]

Integrable S matrix, mirror TBA and spectrum for the stringy AdS $_{3}$ × S $^{3}$ × S $^{3}$ × S $^{1}$ WZW model

Andrea Dei
(
- Zurich, ETH
)
,
Alessandro Sfondrini
(
- Zurich, ETH
)

- JHEP 02 (2019) 072
•
e-Print:
- 1812.08195
•
DOI:
- 10.1007/JHEP02(2019)072

[13]

$T\bar{T}$ , $J\bar{T}$ , $T\bar{J}$ and String Theory

Soumangsu Chakraborty
(
- Hebrew U.
)
,
Amit Giveon
(
- Hebrew U.
)
,
David Kutasov
(
- Chicago U. and
- Chicago U., EFI
)

- J.Phys.A 52 (2019) 38, 384003
•
e-Print:
- 1905.00051
•
DOI:
- 10.1088/1751-8121/ab3710

[14]

$T\overline{T}$ deformed CFT as a non-critical string

Nele Callebaut
(
- Princeton U. and
- Gent U. and
- Haifa U.
)
,
Jorrit Kruthoff
(
- Stanford U., ITP
)
,
Herman Verlinde
(
- Princeton U.
)

- JHEP 04 (2020) 084
•
e-Print:
- 1910.13578
•
DOI:
- 10.1007/JHEP04(2020)084

[15]

Moving the CFT into the bulk with $T\overline{T}$

Lauren McGough
(
- Princeton U.
)
,
Márk Mezei
(
- Princeton U., CTP
)
,
Herman Verlinde
(
- Princeton U., CTP and
- Princeton U.
)

- JHEP 04 (2018) 010
•
e-Print:
- 1611.03470
•
DOI:
- 10.1007/JHEP04(2018)010

[16]

Cutoff AdS $_{3}$ versus the $T\overline{T}$ deformation

- JHEP 07 (2018) 027
•
e-Print:
- 1801.02714
•
DOI:
- 10.1007/JHEP07(2018)027

[17]

Comments on $T \bar T$ double trace deformations and boundary conditions

William Cottrell
(
- Stanford U., Phys. Dept. and
- Amsterdam U.
)
,
Akikazu Hashimoto
(
- Wisconsin U., Madison
)

- Phys.Lett.B 789 (2019) 251-255
•
e-Print:
- 1801.09708
•
DOI:
- 10.1016/j.physletb.2018.09.068

[18]

$T \bar{T}$ deformations in general dimensions

Marika Taylor
(
- Southampton U.
)

- Adv.Theor.Math.Phys. 27 (2023) 1, 37-63
•
e-Print:
- 1805.10287
•
DOI:
- 10.4310/ATMP.2023.v27.n1.a2

[19]

Holography at finite cutoff with a $T^2$ deformation

- JHEP 03 (2019) 004
•
e-Print:
- 1807.11401
•
DOI:
- 10.1007/JHEP03(2019)004

[20]

Sphere partition functions \& cut-off AdS

Pawel Caputa
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Shouvik Datta
(
- UCLA
)
,
Vasudev Shyam
(
- Perimeter Inst. Theor. Phys.
)

- JHEP 05 (2019) 112
•
e-Print:
- 1902.10893
•
DOI:
- 10.1007/JHEP05(2019)112

[21]

$T\bar T$ and the mirage of a bulk cutoff

Monica Guica
(
- IPhT, Saclay and
- Stockholm U. and
- Nordita
)
,
Ruben Monten
(
- IPhT, Saclay
)

- SciPost Phys. 10 (2021) 2, 024
•
e-Print:
- 1906.11251
•
DOI:
- 10.21468/SciPostPhys.10.2.024

[22]

$T\overline{T}$ in AdS $_2$ and Quantum Mechanics

David J. Gross
(
- Santa Barbara, KITP
)
,
Jorrit Kruthoff
(
- Amsterdam U.
)
,
Andrew Rolph
(
- Santa Barbara, KITP and
- Brandeis U.
)
,
Edgar Shaghoulian
(
- Cornell U., Phys. Dept.
)

- Phys.Rev.D 101 (2020) 2, 026011
•
e-Print:
- 1907.04873
•
DOI:
- 10.1103/PhysRevD.101.026011

[23]

Cutoff AdS $_{3}$ versus $T\overline{T}$ CFT $_{2}$ in the large central charge sector: correlators of energy-momentum tensor

Yi Li
(
- Fudan U. and
- Fudan U., Shanghai
)
,
Yang Zhou
(
- Fudan U. and
- Fudan U., Shanghai
)

- JHEP 12 (2020) 168
•
e-Print:
- 2005.01693
•
DOI:
- 10.1007/JHEP12(2020)168

[24]

Holographic torus correlators of stress tensor in AdS $_{3}$ /CFT $_{2}$

Song He
(
- Jilin U. and
- Potsdam, Max Planck Inst.
)
,
Yi Li
(
- Jilin U.
)
,
Yun-Ze Li
(
- Jilin U.
)
,
Yunda Zhang
(
- Jilin U.
)

- JHEP 06 (2023) 116
•
e-Print:
- 2303.13280
•
DOI:
- 10.1007/JHEP06(2023)116

[25]

Holographic torus correlators in AdS $_{3}$ gravity coupled to scalar field

Song He
(
- Jilin U. and
- Potsdam, Max Planck Inst.
)
,
Yun-Ze Li
(
- Jilin U.
)
,
Yunda Zhang
(
- Jilin U.
)

- JHEP 05 (2024) 254
•
e-Print:
- 2311.09636
•
DOI:
- 10.1007/JHEP05(2024)254

1-25 of 67
1
2
3
25 / page