$\lambda$-Deformations of left–right asymmetric CFTs - INSPIRE

DataBETA

$\lambda$ -Deformations of left–right asymmetric CFTs

George Georgiou
(
- Democritos Nucl. Res. Ctr.
)
,
Konstantinos Sfetsos
(
- Athens U.
)
,
Konstantinos Siampos
(
- U. Bern, AEC
)

Oct 17, 2016

19 pages

Published in:

Nucl.Phys.B 914 (2017) 623-641

Published: Jan, 2017

e-Print:

1610.05314 [hep-th]

DOI:

10.1016/j.nuclphysb.2016.11.022

View in:

ADS Abstract Service

reference search39 citations

Citations per year

Abstract: (Elsevier)

We compute the all-loop anomalous dimensions of current and primary field operators in deformed current algebra theories based on a general semi-simple group, but with different (large) levels for the left and right sectors. These theories, unlike their equal level counterparts, possess a new non-trivial fixed point in the IR. By computing the exact in λ two- and three-point functions for these operators we deduce their OPEs and their equal-time commutators. Using these we argue on the nature of the CFT at the IR fixed point. The associated to the currents Poisson brackets are a two-parameter deformation of the canonical structure of the isotropic PCM.

Note:

1+27 pages, Latex, v2: Correcting a typo in Eqs. (3.1), (3.2), v3: Correcting a typo in Eq.(2.20)

field theory: conformal
fixed point: infrared
asymmetry: left-right
n-point function: 3
deformation
operator product expansion
commutation relations
anomalous dimension
Poisson bracket
current algebra

References(43)

Figures(0)

[1]

Nonabelian Bosonization in Two-Dimensions

Edward Witten
(
- Princeton U.
)

- Commun.Math.Phys. 92 (1984) 455-472,
•
DOI:
- 10.1007/BF01215276

[2]

Current Algebra and Wess-Zumino Model in Two-Dimensions

V.G. Knizhnik
(
- Moscow, ITEP
)
,
A.B. Zamolodchikov
(
- Moscow, ITEP
)

- Nucl.Phys.B 247 (1984) 83-103,
- Also in *Goddard, P. (ed.), Olive, D. (ed.): Kac-Moody and Virasoro algebras* 501-521, and in *Itzykson, C. (ed.) et al.: Conformal invariance and applications to statistical mechanics* 76-96,
•
DOI:
- 10.1016/0550-3213(84)90374-2

[3]

Thirring model with u(n) symmetry - scale invariant only for fixed values of a coupling constant

- Phys.Lett.B 46 (1973) 439-442
•
DOI:
- 10.1016/0370-2693(73)90161-5

[3]

Four Fermion Interactions and Scale Invariance

- Phys.Rev.D 11 (1975) 2781
•
DOI:
- 10.1103/PhysRevD.11.2781

[4]

Thirring Interactions, Nonabelian Bose-fermi Equivalences and Conformal Invariance

- Nucl.Phys.B 323 (1989) 572-584
•
DOI:
- 10.1016/0550-3213(89)90124-7

[5]

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

[6]

Integrable Deformations of Strings on Symmetric Spaces

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
)

- JHEP 11 (2014) 009
•
e-Print:
- 1407.2840
•
DOI:
- 10.1007/JHEP11(2014)009

[7]

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

[8]

The all-loop non-Abelian Thirring model and its RG flow

- Phys.Lett.B 733 (2014) 265-269
•
e-Print:
- 1404.3748
•
DOI:
- 10.1016/j.physletb.2014.04.061

[9]

Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model

Konstadinos Sfetsos
(
- Athens U.
)
,
Konstadinos Siampos
(
- UMH, Mons
)

- Nucl.Phys.B 885 (2014) 583-599
•
e-Print:
- 1405.7803
•
DOI:
- 10.1016/j.nuclphysb.2014.06.012

[10]

Spacetimes for $\lambda$ -deformations

- JHEP 12 (2014) 164
•
e-Print:
- 1410.1886
•
DOI:
- 10.1007/JHEP12(2014)164

[11]

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

[12]

Supergravity background of $\lambda$ -deformed model for AdS $_2 \times$ S $^2$ supercoset

R. Borsato
(
- Imperial Coll., London
)
,
A.A. Tseytlin
(
- Imperial Coll., London
)
,
L. Wulff
(
- Imperial Coll., London
)

- Nucl.Phys.B 905 (2016) 264-292
•
e-Print:
- 1601.08192
•
DOI:
- 10.1016/j.nuclphysb.2016.02.018

[13]

Supergravity background of the $\lambda$ -deformed AdS $_3 \times$ S $^3$ supercoset

Yuri Chervonyi
(
- SUNY, Albany
)
,
Oleg Lunin
(
- SUNY, Albany
)

- Nucl.Phys.B 910 (2016) 685-711
•
e-Print:
- 1606.00394
•
DOI:
- 10.1016/j.nuclphysb.2016.07.023

[14]

Generalized $\lambda$ -deformations of AdS $_p \times$ S $^p$

Yuri Chervonyi
(
- SUNY, Albany
)
,
Oleg Lunin
(
- SUNY, Albany
)

- Nucl.Phys.B 913 (2016) 912-941
•
e-Print:
- 1608.06641
•
DOI:
- 10.1016/j.nuclphysb.2016.10.014

[15]

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

[16]

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

[17]

Integrability of the bi-Yang-Baxter sigma-model

Ctirad Klimcik
(
- Centrale Marseille
)

- Lett.Math.Phys. 104 (2014) 1095-1106
•
e-Print:
- 1402.2105
•
DOI:
- 10.1007/s11005-014-0709-y

[18]

On classical $q$ -deformations of integrable sigma-models

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

- JHEP 11 (2013) 192
•
e-Print:
- 1308.3581
•
DOI:
- 10.1007/JHEP11(2013)192

[19]

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

[20]

S-matrix for strings on $\eta$ -deformed AdS5 x S5

Gleb Arutyunov
(
- Utrecht U. and
- Utrecht U., Spinoza Inst.
)
,
Riccardo Borsato
(
- Utrecht U. and
- Utrecht U., Spinoza Inst.
)
,
Sergey Frolov
(
)

- JHEP 04 (2014) 002
•
e-Print:
- 1312.3542
•
DOI:
- 10.1007/JHEP04(2014)002

[21]

Dual nonAbelian duality and the Drinfeld double

C. Klimcik
(
- CERN
)
,
P. Severa
(
- Charles U.
)

- Phys.Lett.B 351 (1995) 455-462
•
e-Print:
- hep-th/9502122
•
DOI:
- 10.1016/0370-2693(95)00451-P

[22]

Deformed integrable σ-models, classical R-matrices and classical exchange algebra on Drinfel’d doubles

Benoit Vicedo
(
- Hertfordshire U.
)

- J.Phys.A 48 (2015) 35, 355203
•
e-Print:
- 1504.06303
•
DOI:
- 10.1088/1751-8113/48/35/355203

[23]

On integrable deformations of superstring sigma models related to $AdS_n \times S^n$ supercosets

B. Hoare
(
- Humboldt U., Berlin
)
,
A.A. Tseytlin
(
- Imperial Coll., London
)

- Nucl.Phys.B 897 (2015) 448-478
•
e-Print:
- 1504.07213
•
DOI:
- 10.1016/j.nuclphysb.2015.06.001

[24]

Generalised integrable λ - and η-deformations and their relation

Konstantinos Sfetsos
(
- Athens U. and
- U. Bern, AEC and
- Bern U.
)
,
Konstantinos Siampos
(
- U. Bern, AEC and
- Bern U.
)
,
Daniel C. Thompson
(
- Intl. Solvay Inst., Brussels and
- Vrije U., Brussels
)

- Nucl.Phys.B 899 (2015) 489-512
•
e-Print:
- 1506.05784
•
DOI:
- 10.1016/j.nuclphysb.2015.08.015

1-25 of 43
1
2
25 / page