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Almost abelian twists and AdS/CFT

Stijn J. van Tongeren
(
- Humboldt U., Berlin and
- Humboldt U., Berlin, Inst. Math.
)

Oct 18, 2016

8 pages

Published in:

Phys.Lett.B 765 (2017) 344-351

Published: Feb 10, 2017

e-Print:

1610.05677 [hep-th]

DOI:

10.1016/j.physletb.2016.12.002

Report number:

HU-EP-16-35,
HU-MATH-16-19

View in:

ADS Abstract Service

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Abstract: (Elsevier)

A large class of the recently found unimodular nonabelian homogeneous Yang–Baxter deformations of the AdS5×S5 superstring can be realized as sequences of noncommuting TsT transformations. I show that many of them are duals to various noncommutative versions of supersymmetric Yang–Mills theory, structurally determined directly in terms of the associated r matrices, in line with previous expectations in the literature.

Note:

v4, 9 pages letter format, no figures, minor typos corrected, otherwise matches published version

Holography
AdS/CFT correspondence
Integrability
Noncommutative field theory
T duality
supersymmetry
twist: abelian
AdS/CFT correspondence
noncommutative
superstring

References(59)

Figures(0)

[1]

The Large $N$ limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

[2]

Foundations of the AdS $_{5} \times S^{5}$ Superstring. Part I

- J.Phys.A 42 (2009) 254003
•
e-Print:
- 0901.4937
•
DOI:
- 10.1088/1751-8113/42/25/254003

[3]

Review of AdS/CFT Integrability: An Overview

Niklas Beisert
(
- Potsdam, Max Planck Inst.
)
,
Changrim Ahn
(
- Ewha Women's U., Seoul
)
,
Luis F. Alday
(
- Oxford U. and
- Princeton, Inst. Advanced Study
)
,
Zoltan Bajnok
(
- Hungarian Acad. Sci., Budapest
)
,
James M. Drummond
(
- CERN and
- Annecy, LAPTH
)

et al.

- Lett.Math.Phys. 99 (2012) 3-32
•
e-Print:
- 1012.3982
•
DOI:
- 10.1007/s11005-011-0529-2

[4]

An integrability primer for the gauge-gravity correspondence: An introduction

Diego Bombardelli
(
- Turin U. and
- INFN, Turin and
- Bologna U. and
- INFN, Bologna
)
,
Alessandra Cagnazzo
(
- Nordita and
- DESY
)
,
Rouven Frassek
(
- Durham U., Dept. of Math.
)
,
Fedor Levkovich-Maslyuk
(
- King's Coll. London, Dept. Math
)
,
Florian Loebbert
(
- Humboldt U., Berlin
)

et al.

- J.Phys.A 49 (2016) 32, 320301
•
e-Print:
- 1606.02945
•
DOI:
- 10.1088/1751-8113/49/32/320301

[5]

Deforming field theories with U(1) x U(1) global symmetry and their gravity duals

- JHEP 05 (2005) 033
•
e-Print:
- hep-th/0502086
•
DOI:
- 10.1088/1126-6708/2005/05/033

[6]

Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory

S.A. Frolov
(
- SUNY, Utica/Rome and
- Steklov Math. Inst., Moscow
)
,
R. Roiban
(
- Princeton U.
)
,
Arkady A. Tseytlin
(
- Ohio State U. and
- Imperial Coll., London and
- Lebedev Inst.
)

- JHEP 07 (2005) 045
•
e-Print:
- hep-th/0503192
•
DOI:
- 10.1088/1126-6708/2005/07/045

[7]

Lax pair for strings in Lunin-Maldacena background

Sergey Frolov
(
- SUNY, Utica/Rome
)

- JHEP 05 (2005) 069
•
e-Print:
- hep-th/0503201
•
DOI:
- 10.1088/1126-6708/2005/05/069

[8]

Yang-Baxter sigma models and dS/AdS T duality

Ctirad Klimcik
(
- Luminy, Inst. Math.
)

- JHEP 12 (2002) 051
•
e-Print:
- hep-th/0210095
•
DOI:
- 10.1088/1126-6708/2002/12/051

[9]

On integrability of the Yang-Baxter sigma-model

Ctirad Klimcik
(
- Luminy, Inst. Math.
)

- J.Math.Phys. 50 (2009) 043508
•
e-Print:
- 0802.3518
•
DOI:
- 10.1063/1.3116242

[10]

An integrable deformation of the $AdS_5 \times S^5$ superstring action

- Phys.Rev.Lett. 112 (2014) 5, 051601
•
e-Print:
- 1309.5850
•
DOI:
- 10.1103/PhysRevLett.112.051601

[11]

Integrable interpolations: From exact CFTs to non-Abelian T-duals

Konstadinos Sfetsos
(
- Surrey U., Math. Stat. Dept. and
- Athens U.
)

- Nucl.Phys.B 880 (2014) 225-246
•
e-Print:
- 1312.4560
•
DOI:
- 10.1016/j.nuclphysb.2014.01.004

[12]

An Integrable Deformation of the $AdS_5 \times S^5$ Superstring

Timothy J. Hollowood
(
- Swansea U.
)
,
J.Luis Miramontes
(
- Santiago de Compostela U. and
- Santiago de Compostela U., IGFAE
)
,
David M. Schmidtt
(
- Swansea U. and
- Sao Paulo, IFT
)

- J.Phys.A 47 (2014) 49, 495402
•
e-Print:
- 1409.1538
•
DOI:
- 10.1088/1751-8113/47/49/495402

[13]

Integrable $\lambda$ -deformations: Squashing Coset CFTs and $AdS_5\times S^5$

Saskia Demulder
(
- Vrije U., Brussels and
- Intl. Solvay Inst., Brussels
)
,
Konstantinos Sfetsos
(
- Athens U.
)
,
Daniel C. Thompson
(
- Vrije U., Brussels and
- Intl. Solvay Inst., Brussels
)

- JHEP 07 (2015) 019
•
e-Print:
- 1504.02781
•
DOI:
- 10.1007/JHEP07(2015)019

[14]

Derivation of the action and symmetries of the $q$ -deformed $AdS_{5} \times S^{5}$ superstring

Francois Delduc
(
- Lyon, Ecole Normale Superieure and
- Lyon U.
)
,
Marc Magro
(
- Lyon, Ecole Normale Superieure and
- Lyon U.
)
,
Benoit Vicedo
(
- Hertfordshire U.
)

- JHEP 10 (2014) 132
•
e-Print:
- 1406.6286
•
DOI:
- 10.1007/JHEP10(2014)132

[15]

Jordanian deformations of the $AdS_5 x S^5$ superstring

Io Kawaguchi
(
- Kyoto U.
)
,
Takuya Matsumoto
(
- Utrecht U. and
- Utrecht U., Spinoza Inst.
)
,
Kentaroh Yoshida
(
- Kyoto U.
)

- JHEP 04 (2014) 153
•
e-Print:
- 1401.4855
•
DOI:
- 10.1007/JHEP04(2014)153

[16]

Yang–Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory

Stijn J. van Tongeren
(
- Humboldt U., Berlin, Inst. Math. and
- Humboldt U., Berlin
)

- Nucl.Phys.B 904 (2016) 148-175
•
e-Print:
- 1506.01023
•
DOI:
- 10.1016/j.nuclphysb.2016.01.012

[17]

Target space supergeometry of $\eta$ and $\lambda$ -deformed strings

- JHEP 10 (2016) 045
•
e-Print:
- 1608.03570
•
DOI:
- 10.1007/JHEP10(2016)045

[18]

Puzzles of $\eta$ -deformed AdS $_5 \times$ S $^5$

- JHEP 12 (2015) 049
•
e-Print:
- 1507.04239
•
DOI:
- 10.1007/JHEP12(2015)049

[19]

Non-split and split deformations of ${\mathrm{AdS}}_{5}$

- J.Phys.A 49 (2016) 48, 484003
•
e-Print:
- 1605.03552
•
DOI:
- 10.1088/1751-8113/49/48/484003

[20]

On classical Yang-Baxter based deformations of the AdS $_{5}$ × S $^{5}$ superstring

Stijn J. van Tongeren
(
- Humboldt U., Berlin, Inst. Math. and
- Humboldt U., Berlin
)

- JHEP 06 (2015) 048
•
e-Print:
- 1504.05516
•
DOI:
- 10.1007/JHEP06(2015)048

[21]

Abelian Yang–Baxter deformations and TsT transformations

- Nucl.Phys.B 915 (2017) 184-205,
- Nucl.Phys.B 915 (2017) 184-205
•
e-Print:
- 1608.08504
•
DOI:
- 10.1016/j.nuclphysb.2016.12.007

[22]

Supercoset construction of Yang-Baxter deformed AdS $_5\times$ S $^5$ backgrounds

Hideki Kyono
(
- Kyoto U.
)
,
Kentaroh Yoshida
(
- Kyoto U. and
- KEK, Tsukuba
)

- PTEP 2016 (2016) 8, 083B03
•
e-Print:
- 1605.02519
•
DOI:
- 10.1093/ptep/ptw111

[23]

On jordanian deformations of AdS $_5$ and supergravity

- J.Phys.A 49 (2016) 43, 434006
•
e-Print:
- 1605.03554
•
DOI:
- 10.1088/1751-8113/49/43/434006

[24]

Generalized type IIB supergravity equations and non-Abelian classical r-matrices

Domenico Orlando
(
- Bern U. and
- U. Bern, AEC
)
,
Susanne Reffert
(
- Bern U. and
- U. Bern, AEC
)
,
Jun-ichi Sakamoto
(
- Kyoto U.
)
,
Kentaroh Yoshida
(
- Kyoto U.
)

- J.Phys.A 49 (2016) 44, 445403
•
e-Print:
- 1607.00795
•
DOI:
- 10.1088/1751-8113/49/44/445403

[25]

Scale invariance of the $\eta$ -deformed $AdS_5\times S^5$ superstring, T-duality and modified type II equations

G. Arutyunov
(
- Hamburg U., Inst. Theor. Phys. II and
- Hamburg U., Dept. Math.
)
,
S. Frolov
(
- Trinity Coll., Dublin and
- Hamilton Math. Inst., Dublin
)
,
B. Hoare
(
- Zurich, ETH
)
,
R. Roiban
(
- Penn State U.
)
,
A.A. Tseytlin
(
- Imperial Coll., London
)

- Nucl.Phys.B 903 (2016) 262-303
•
e-Print:
- 1511.05795
•
DOI:
- 10.1016/j.nuclphysb.2015.12.012

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