Built on

M. T. Grisaru, P. S. Howe, L. Mezincescu, B. Nilsson and P. K. Townsend, “N=2 Superstrings in a Supergravity Background,” Phys. Lett. B 162
1985
Earlier work this paper cites.
E. Bergshoeff, E. Sezgin and P. K. Townsend, “Superstring Actions in D = 3 D=3 , 4, 6, 10 Curved Superspace,” Phys. Lett. B 169
1986
Earlier work this paper cites.
A. A. Tseytlin, “On dilaton dependence of type II superstring action,” Class. Quant. Grav. 13
1996
Earlier work this paper cites.
R. R. Metsaev and A. A. Tseytlin, “Type IIB superstring action in A d S 5 x S 5 AdS_{5}xS^{5} background,” Nucl. Phys. B 533
1998
Earlier work this paper cites.
J. M. Maldacena and J. G. Russo, “Large N limit of noncommutative gauge theories,” JHEP 9909
1999
Earlier work this paper cites.
M. Cvetic, H. Lu, C. N. Pope and K. S. Stelle, “T duality in the Green-Schwarz formalism, and the massless / massive IIA duality map,” Nucl. Phys. B 573
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. Beisert and M. Staudacher, “Long-range psu(2,2 | | 4) Bethe Ansatze for gauge theory and strings,” Nucl. Phys. B 727
2005
Earlier work this paper cites.
T. Klose, T. McLoughlin, R. Roiban and K. Zarembo, “Worldsheet scattering in AdS 5 × S 5 {\rm AdS}_{5}\times{\rm S}^{5}\ ,” JHEP 0703
2007
Earlier work this paper cites.
N. Beisert and P. Koroteev, “Quantum Deformations of the One-Dimensional Hubbard Model,” J. Phys. A 41
Original
2008
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.
G. Arutyunov and S. Frolov, “Foundations of the AdS 5 × S 5 {\rm AdS}_{5}\times{\rm S}^{5}\ Superstring. Part I,” J. Phys. A 42
Original
2009
Earlier work this paper cites.
B. Hoare, T. J. Hollowood and J. L. Miramontes, “q-Deformation of the A d S 5 x S 5 AdS_{5}xS^{5} Superstring S-matrix and its Relativistic Limit,” JHEP 1203
Original
2012
Earlier work this paper cites.
D. Z. Freedman and A. Van Proeyen, “Supergravity”, Cambridge University Press (2012)
2012
Earlier work this paper cites.

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2013
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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
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2014
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Then

S. Frolov and R. Roiban, presented by S. Frolov at the workshop “Integrability in Gauge and String Theory”, 2014
2014
Later among the works it cites.
A. Banerjee and K. L. Panigrahi, “On the rotating and oscillating strings in (AdS 3
Original
2014
Later among the works it cites.
M. Khouchen and J. Kluson, “Giant Magnon on Deformed AdS(3)xS(3),” Phys. Rev. D 90
Original
2014
Later among the works it cites.
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
2015
Closest in time.
O. T. Engelund and R. Roiban, “On the asymptotic states and the quantum S matrix of the η \eta -deformed AdS 5 × {}_{5}\times S 5
Original

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2015

Puzzles of eta-deformed AdS_5 x S^5

Arutyunov, Gleb, Borsato, Riccardo, Frolov, Sergey

Understand

We derive the part of the Lagrangian for the sigma model on the eta-deformed AdS_5 x S^5 space which is quadratic in fermions and has the full dependence on bosons.

We then show that there exists a field redefinition which brings the corresponding Lagrangian to the standard form of type IIB Green-Schwarz superstring.
Reading off the corresponding RR couplings, we observe that they fail to satisfy the supergravity equations of motion, despite the presence of kappa-symmetry.
However, in a special scaling limit our solution reproduces the supergravity background found by Maldacena and Russo.

Built on

M. T. Grisaru, P. S. Howe, L. Mezincescu, B. Nilsson and P. K. Townsend, “N=2 Superstrings in a Supergravity Background,” Phys. Lett. B 162
1985
Earlier work this paper cites.
E. Bergshoeff, E. Sezgin and P. K. Townsend, “Superstring Actions in D = 3 D=3 , 4, 6, 10 Curved Superspace,” Phys. Lett. B 169
1986
Earlier work this paper cites.
A. A. Tseytlin, “On dilaton dependence of type II superstring action,” Class. Quant. Grav. 13
1996
Earlier work this paper cites.
R. R. Metsaev and A. A. Tseytlin, “Type IIB superstring action in A d S 5 x S 5 AdS_{5}xS^{5} background,” Nucl. Phys. B 533
1998
Earlier work this paper cites.
J. M. Maldacena and J. G. Russo, “Large N limit of noncommutative gauge theories,” JHEP 9909
1999
Earlier work this paper cites.
M. Cvetic, H. Lu, C. N. Pope and K. S. Stelle, “T duality in the Green-Schwarz formalism, and the massless / massive IIA duality map,” Nucl. Phys. B 573
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. Beisert and M. Staudacher, “Long-range psu(2,2 | | 4) Bethe Ansatze for gauge theory and strings,” Nucl. Phys. B 727
2005
Earlier work this paper cites.
T. Klose, T. McLoughlin, R. Roiban and K. Zarembo, “Worldsheet scattering in AdS 5 × S 5 {\rm AdS}_{5}\times{\rm S}^{5}\ ,” JHEP 0703
2007
Earlier work this paper cites.
N. Beisert and P. Koroteev, “Quantum Deformations of the One-Dimensional Hubbard Model,” J. Phys. A 41
Original
2008
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.
G. Arutyunov and S. Frolov, “Foundations of the AdS 5 × S 5 {\rm AdS}_{5}\times{\rm S}^{5}\ Superstring. Part I,” J. Phys. A 42
Original
2009
Earlier work this paper cites.
B. Hoare, T. J. Hollowood and J. L. Miramontes, “q-Deformation of the A d S 5 x S 5 AdS_{5}xS^{5} Superstring S-matrix and its Relativistic Limit,” JHEP 1203
Original
2012
Earlier work this paper cites.
D. Z. Freedman and A. Van Proeyen, “Supergravity”, Cambridge University Press (2012)
2012
Earlier work this paper cites.