Scale invariance of the ηdeformed AdS _{5} × S ^{5} superstring, Tduality and modified type II equations
We consider the ABF background underlying the ηdeformed AdS _{5} × S ^{5} sigma model. This background fails to satisfy the standard IIB supergravity equations which indicates that the corresponding sigma model is not Weyl invariant, i.e. does not define a critical string theory in the usual sense. We argue that the ABF background should still define a UV finite theory on a flat 2d worldsheet implying that the ηdeformed model is scale invariant. This property follows from the formal relation via Tduality between the ηdeformed model and the one defined by an exact type IIB supergravity solution that has 6 isometries albeit broken by a linear dilaton. We find that the ABF background satisfies candidate type IIB scale invariance conditions which for the R–R field strengths are of the second order in derivatives. Surprisingly, we also find that the ABF background obeys an interesting modification of the standard IIB supergravity equations that are first order in derivatives of R–R fields. These modified equations explicitly depend on Killing vectors of the ABF background and, although not universal, they imply the universal scale invariance conditions. Moreover, we show that it is precisely the nonisometric dilaton of the Tdual solution that leads,more »
 Authors:

^{[1]};
^{[2]};
^{[3]}
;
^{[4]};
^{[5]}
 Univ. of Hamburg (Germany). Inst. of Theoretical Physics. Center for Mathematical Physics
 Trinity College, Dublin (Ireland). School of Mathematics. Hamilton Mathematics Inst.
 Federal Inst. of Technology (ETH), Zurich (Switzerland). Inst. of Theoretical Physics
 Pennsylvania State Univ., University Park, PA (United States). Dept. of Physics
 Imperial College, London (United Kingdom). The Blackett Lab.
 Publication Date:
 Grant/Contract Number:
 SC0013699; 615203; 290456; ST/J0003533/1; 144200047
 Type:
 Published Article
 Journal Name:
 Nuclear Physics. B
 Additional Journal Information:
 Journal Volume: 903; Journal ID: ISSN 05503213
 Publisher:
 Elsevier
 Research Org:
 Pennsylvania State Univ., University Park, PA (United States); Imperial College, London (United Kingdom); Federal Inst. of Technology (ETH), Zurich (Switzerland); Univ. of Hamburg (Germany)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25); German Research Foundation (DFG); European Research Council (ERC); Science and Technology Facilities Council (STFC) (United Kingdom); Russian Science Foundation (Russian Federation)
 Contributing Orgs:
 Trinity College, Dublin (Ireland)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1234037
 Alternate Identifier(s):
 OSTI ID: 1364361
Arutyunov, G., Frolov, S., Hoare, B., Roiban, R., and Tseytlin, A. A.. Scale invariance of the ηdeformed AdS5 × S5 superstring, Tduality and modified type II equations. United States: N. p.,
Web. doi:10.1016/j.nuclphysb.2015.12.012.
Arutyunov, G., Frolov, S., Hoare, B., Roiban, R., & Tseytlin, A. A.. Scale invariance of the ηdeformed AdS5 × S5 superstring, Tduality and modified type II equations. United States. doi:10.1016/j.nuclphysb.2015.12.012.
Arutyunov, G., Frolov, S., Hoare, B., Roiban, R., and Tseytlin, A. A.. 2015.
"Scale invariance of the ηdeformed AdS5 × S5 superstring, Tduality and modified type II equations". United States.
doi:10.1016/j.nuclphysb.2015.12.012.
@article{osti_1234037,
title = {Scale invariance of the ηdeformed AdS5 × S5 superstring, Tduality and modified type II equations},
author = {Arutyunov, G. and Frolov, S. and Hoare, B. and Roiban, R. and Tseytlin, A. A.},
abstractNote = {We consider the ABF background underlying the ηdeformed AdS5 × S5 sigma model. This background fails to satisfy the standard IIB supergravity equations which indicates that the corresponding sigma model is not Weyl invariant, i.e. does not define a critical string theory in the usual sense. We argue that the ABF background should still define a UV finite theory on a flat 2d worldsheet implying that the ηdeformed model is scale invariant. This property follows from the formal relation via Tduality between the ηdeformed model and the one defined by an exact type IIB supergravity solution that has 6 isometries albeit broken by a linear dilaton. We find that the ABF background satisfies candidate type IIB scale invariance conditions which for the R–R field strengths are of the second order in derivatives. Surprisingly, we also find that the ABF background obeys an interesting modification of the standard IIB supergravity equations that are first order in derivatives of R–R fields. These modified equations explicitly depend on Killing vectors of the ABF background and, although not universal, they imply the universal scale invariance conditions. Moreover, we show that it is precisely the nonisometric dilaton of the Tdual solution that leads, after Tduality, to modification of type II equations from their standard form. We conjecture that the modified equations should follow from κsymmetry of the ηdeformed model. All our observations apply also to ηdeformations of AdS3 × S3 × T4 and AdS2 × S2 × T6 models.},
doi = {10.1016/j.nuclphysb.2015.12.012},
journal = {Nuclear Physics. B},
number = ,
volume = 903,
place = {United States},
year = {2015},
month = {12}
}