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Y. Sakatani, “Type II DFT solutions from Poisson-Lie T T -duality/plurality,” PTEP (2019) 073B04 doi:10.1093/ptep/ptz071 [arXiv:1903.12175 [hep-th]]
Original
1903
Earlier work this paper cites.
A. Catal-Ozer, “Non-Abelian T-duality as a Transformation in Double Field Theory,” JHEP 1908
Original
1904
Earlier work this paper cites.
D. C. Thompson, “An Introduction to Generalised Dualities and their Applications to Holography and Integrability,” arXiv:1904.11561 [hep-th]
Original
1904
Earlier work this paper cites.
S. Demulder, F. Hassler and D. C. Thompson, “An invitation to Poisson-Lie T-duality in Double Field Theory and its applications,” arXiv:1904.09992 [hep-th]
Original
1904
Earlier work this paper cites.
I. Bakhmatov, N. S. Deger, E. T. Musaev, E. Ó. Colgáin and M. M. Sheikh-Jabbari, JHEP 1908
Original
1906
Earlier work this paper cites.
M. Jimbo, “Yang-Baxter equation in integrable systems,” Adv. Ser. Math. Phys. 10
1989
Earlier work this paper cites.
A. Giveon, M. Porrati and E. Rabinovici, “Target space duality in string theory,” Phys. Rept. 244
1994
Earlier work this paper cites.
V. Chari and A. Pressley, “A guide to quantum groups,” Cambridge, UK: Univ. Pr. (1994)
1994
Earlier work this paper cites.
N. Seiberg and E. Witten, “String theory and noncommutative geometry,” JHEP 9909
1999
Earlier work this paper cites.
M. Fukuma, T. Oota and H. Tanaka, “Comments on T dualities of Ramond-Ramond potentials on tori,” Prog. Theor. Phys. 103
2000
Earlier work this paper cites.
S. F. Hassan, “T duality, space-time spinors and RR fields in curved backgrounds,” Nucl. Phys. B 568
2000
Earlier work this paper cites.
C. Klimcik, “Yang-Baxter sigma models and dS/AdS T duality,” JHEP 0212
2002
Earlier work this paper cites.
N. Hitchin, “Generalized Calabi-Yau manifolds,” Quart. J. Math. 54
2003
Earlier work this paper cites.
O. Lunin and J. M. Maldacena, “Deforming field theories with U(1) x U(1) global symmetry and their gravity duals,” JHEP 0505
2005
Earlier work this paper cites.
S. Frolov, “Lax pair for strings in Lunin-Maldacena background,” JHEP 0505
2005
Earlier work this paper cites.
C. M. Hull, “A Geometry for non-geometric string backgrounds,” JHEP 0510
2005
Earlier work this paper cites.
A. Catal-Ozer, “Lunin-Maldacena deformations with three parameters,” JHEP 0602
2006
Earlier work this paper cites.
C. Klimcik, “On integrability of the Yang-Baxter sigma-model,” J. Math. Phys. 50
Original
2009
Earlier work this paper cites.
C. Hull and B. Zwiebach, “Double Field Theory,” JHEP 0909
Original
2009
Earlier work this paper cites.
A. Catal-Ozer and N. S. Deger, “Beta, Dipole and Noncommutative Deformations of M-theory Backgrounds with One or More Parameters,” Class. Quant. Grav. 26
Original
2009
Earlier work this paper cites.
O. Hohm, C. Hull and B. Zwiebach, “Generalized metric formulation of double field theory,” JHEP 1008
Original
2010
Earlier work this paper cites.
O. Hohm, S. K. Kwak and B. Zwiebach, “Double Field Theory of Type II Strings,” JHEP 1109
Original
2011
Earlier work this paper cites.
D. Geissbuhler, “Double Field Theory and N=4 Gauged Supergravity,” JHEP 1111
Original
2011
Earlier work this paper cites.
G. Aldazabal, W. Baron, D. Marques and C. Nunez, “The effective action of Double Field Theory,” JHEP 1111
Original
2011
Earlier work this paper cites.

Similar

O. Hohm, S. K. Kwak and B. Zwiebach, “Double Field Theory of Type II Strings,” JHEP 1109
Original
2011
Cited alongside, same era.
M. Grana and D. Marques, “Gauged Double Field Theory,” JHEP 1204
Original
2012
Cited alongside, same era.
B. Zwiebach, “Double Field Theory, T-Duality, and Courant Brackets,” Lect. Notes Phys. 851
Original
2012
Cited alongside, same era.
F. Delduc, M. Magro and B. Vicedo, “On classical q q -deformations of integrable sigma-models,” JHEP 1311
Original
2013
Cited alongside, same era.
D. Geissbuhler, D. Marques, C. Nunez and V. Penas, “Exploring Double Field Theory,” JHEP 1306
Original

Then

S. J. van Tongeren, “Almost abelian twists and AdS/CFT,” Phys. Lett. B 765
Original
2016
Later among the works it cites.
R. Borsato and L. Wulff, “Target space supergeometry of η \eta and λ \lambda -deformed strings,” JHEP 1610
Original
2016
Later among the works it cites.
B. Hoare and D. C. Thompson, “Marginal and non-commutative deformations via non-abelian T-duality,” JHEP 1702
Original
2017
Later among the works it cites.
R. Borsato and L. Wulff, “On non-abelian T-duality and deformations of supercoset string sigma-models,” JHEP 1710
Original
2017
Later among the works it cites.
T. Araujo, E. Ó Colgáin, J. Sakamoto, M. M. Sheikh-Jabbari and K. Yoshida, “ I I in generalized supergravity,” Eur. Phys. J. C 77

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2019

Yang-Baxter Deformation as an O(d,d) Transformation

Çatal-Özer, Aybike, Tunalı, Seçil

Understand

The rules for Yang-Baxter (YB) deformation for a generic Green-Schwarz string sigma model has been obtained recently.

We show that the deformation can be described through the action of a coordinate dependent $O(d,d)$ matrix on the target space fields both in the NS-NS and the RR sectors, generalizing previous results.
This enables us to show that the YB deformed fields can be regarded as duality twisted fields in the context of Gauged Double Field Theory (GDFT).
We compute the fluxes associated with the twist and show that the conditions on the R-matrix determining the YB deformation give rise to conditions for the fluxes on the GDFT side.

Built on

Y. Sakatani, “Type II DFT solutions from Poisson-Lie T T -duality/plurality,” PTEP (2019) 073B04 doi:10.1093/ptep/ptz071 [arXiv:1903.12175 [hep-th]]
Original
1903
Earlier work this paper cites.
A. Catal-Ozer, “Non-Abelian T-duality as a Transformation in Double Field Theory,” JHEP 1908
Original
1904
Earlier work this paper cites.
D. C. Thompson, “An Introduction to Generalised Dualities and their Applications to Holography and Integrability,” arXiv:1904.11561 [hep-th]
Original
1904
Earlier work this paper cites.
S. Demulder, F. Hassler and D. C. Thompson, “An invitation to Poisson-Lie T-duality in Double Field Theory and its applications,” arXiv:1904.09992 [hep-th]
Original
1904
Earlier work this paper cites.
I. Bakhmatov, N. S. Deger, E. T. Musaev, E. Ó. Colgáin and M. M. Sheikh-Jabbari, JHEP 1908
Original
1906
Earlier work this paper cites.
M. Jimbo, “Yang-Baxter equation in integrable systems,” Adv. Ser. Math. Phys. 10
1989
Earlier work this paper cites.
A. Giveon, M. Porrati and E. Rabinovici, “Target space duality in string theory,” Phys. Rept. 244
1994
Earlier work this paper cites.
V. Chari and A. Pressley, “A guide to quantum groups,” Cambridge, UK: Univ. Pr. (1994)
1994
Earlier work this paper cites.
N. Seiberg and E. Witten, “String theory and noncommutative geometry,” JHEP 9909
1999
Earlier work this paper cites.
M. Fukuma, T. Oota and H. Tanaka, “Comments on T dualities of Ramond-Ramond potentials on tori,” Prog. Theor. Phys. 103
2000
Earlier work this paper cites.
S. F. Hassan, “T duality, space-time spinors and RR fields in curved backgrounds,” Nucl. Phys. B 568
2000
Earlier work this paper cites.
C. Klimcik, “Yang-Baxter sigma models and dS/AdS T duality,” JHEP 0212
2002
Earlier work this paper cites.
N. Hitchin, “Generalized Calabi-Yau manifolds,” Quart. J. Math. 54
2003
Earlier work this paper cites.
O. Lunin and J. M. Maldacena, “Deforming field theories with U(1) x U(1) global symmetry and their gravity duals,” JHEP 0505
2005
Earlier work this paper cites.
S. Frolov, “Lax pair for strings in Lunin-Maldacena background,” JHEP 0505
2005
Earlier work this paper cites.
C. M. Hull, “A Geometry for non-geometric string backgrounds,” JHEP 0510
2005
Earlier work this paper cites.
A. Catal-Ozer, “Lunin-Maldacena deformations with three parameters,” JHEP 0602
2006
Earlier work this paper cites.
C. Klimcik, “On integrability of the Yang-Baxter sigma-model,” J. Math. Phys. 50
Original
2009
Earlier work this paper cites.
C. Hull and B. Zwiebach, “Double Field Theory,” JHEP 0909
Original
2009
Earlier work this paper cites.
A. Catal-Ozer and N. S. Deger, “Beta, Dipole and Noncommutative Deformations of M-theory Backgrounds with One or More Parameters,” Class. Quant. Grav. 26
Original
2009
Earlier work this paper cites.
O. Hohm, C. Hull and B. Zwiebach, “Generalized metric formulation of double field theory,” JHEP 1008
Original
2010
Earlier work this paper cites.
O. Hohm, S. K. Kwak and B. Zwiebach, “Double Field Theory of Type II Strings,” JHEP 1109
Original
2011
Earlier work this paper cites.
D. Geissbuhler, “Double Field Theory and N=4 Gauged Supergravity,” JHEP 1111
Original
2011
Earlier work this paper cites.
G. Aldazabal, W. Baron, D. Marques and C. Nunez, “The effective action of Double Field Theory,” JHEP 1111
Original
2011
Earlier work this paper cites.

Similar

O. Hohm, S. K. Kwak and B. Zwiebach, “Double Field Theory of Type II Strings,” JHEP 1109
Original
2011
Cited alongside, same era.
M. Grana and D. Marques, “Gauged Double Field Theory,” JHEP 1204
Original
2012
Cited alongside, same era.
B. Zwiebach, “Double Field Theory, T-Duality, and Courant Brackets,” Lect. Notes Phys. 851
Original
2012
Cited alongside, same era.
F. Delduc, M. Magro and B. Vicedo, “On classical q q -deformations of integrable sigma-models,” JHEP 1311
Original
2013
Cited alongside, same era.
D. Geissbuhler, D. Marques, C. Nunez and V. Penas, “Exploring Double Field Theory,” JHEP 1306
Original

Then

S. J. van Tongeren, “Almost abelian twists and AdS/CFT,” Phys. Lett. B 765
Original
2016
Later among the works it cites.
R. Borsato and L. Wulff, “Target space supergeometry of η \eta and λ \lambda -deformed strings,” JHEP 1610
Original
2016
Later among the works it cites.
B. Hoare and D. C. Thompson, “Marginal and non-commutative deformations via non-abelian T-duality,” JHEP 1702
Original
2017
Later among the works it cites.
R. Borsato and L. Wulff, “On non-abelian T-duality and deformations of supercoset string sigma-models,” JHEP 1710
Original
2017
Later among the works it cites.
T. Araujo, E. Ó Colgáin, J. Sakamoto, M. M. Sheikh-Jabbari and K. Yoshida, “ I I in generalized supergravity,” Eur. Phys. J. C 77

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2013

Cited alongside, same era.

O. Hohm, D. Lüst and B. Zwiebach, “The Spacetime of Double Field Theory: Review, Remarks, and Outlook,” Fortsch. Phys. 61

Original

2013

Cited alongside, same era.

F. Delduc, M. Magro and B. Vicedo, “An integrable deformation of the A d S 5 × S 5 AdS_{5}\times S^{5} superstring action,” Phys. Rev. Lett. 112

Original

2014

Cited alongside, same era.

G. Arutyunov, R. Borsato and S. Frolov, “S-matrix for strings on η \eta -deformed A d S 5 × S 5 AdS_{5}\times S^{5} ,” JHEP 1404

Original

2014

Cited alongside, same era.

B. Hoare, R. Roiban and A. A. Tseytlin, “On deformations of A d S n × S n AdS_{n}\times S^{n} supercosets,” JHEP 1406

Original

2014

Cited alongside, same era.

O. Lunin, R. Roiban and A. A. Tseytlin, “Supergravity backgrounds for deformations of AdS n × S n {}_{n}\times S^{n} supercoset string models,” Nucl. Phys. B 891

Original

2014

Cited alongside, same era.

I. Kawaguchi, T. Matsumoto and K. Yoshida, “Jordanian deformations of the A d S 5 × S 5 AdS_{5}\times S^{5} superstring,” JHEP 1404

Original

2014

Cited alongside, same era.

T. Matsumoto and K. Yoshida, “Lunin-Maldacena backgrounds from the classical Yang-Baxter equation - towards the gravity/CYBE correspondence,” JHEP 1406

Original

2014

Cited alongside, same era.

Original

2017