Scale invariance of the η -deformed AdS 5 × S 5 superstring, T-duality and modified type II equations

Arutyunov, G.; Frolov, S.; Hoare, B.; Roiban, R.; Tseytlin, A. A.

doi:10.1016/j.nuclphysb.2015.12.012

Title: Scale invariance of the η -deformed AdS 5 × S 5 superstring, T-duality and modified type II equations

Journal Article · Mon Feb 01 00:00:00 EST 2016 · Nuclear Physics. B

DOI:https://doi.org/10.1016/j.nuclphysb.2015.12.012· OSTI ID:1234037

Arutyunov, G.; Frolov, S.;

; Roiban, R.; Tseytlin, A. A.

We consider the ABF background underlying the η-deformed 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 world-sheet implying that the η-deformed model is scale invariant. This property follows from the formal relation via T-duality between the η-deformed 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 non-isometric dilaton of the T-dual solution that leads, after T-duality, to modification of type II equations from their standard form. We conjecture that the modified equations should follow from κ-symmetry of the η-deformed model. All our observations apply also to η-deformations of AdS₃ × S³ × T⁴ and AdS₂ × S² × T⁶ models.

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Research Organization:: 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 Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); German Research Foundation (DFG); European Research Council (ERC); Science and Technology Facilities Council (STFC) (United Kingdom); Russian Science Foundation (Russian Federation)

Contributing Organization:: Trinity College, Dublin (Ireland)

Grant/Contract Number:: SC0013699; 615203; 290456; ST/J0003533/1; 14-42-00047

OSTI ID:: 1234037

Alternate ID(s):: OSTI ID: 1364361

Journal Information:: Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 903 Journal Issue: C; ISSN 0550-3213

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 141 works

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