The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory

Abstract

The generalized symmetric space sine-Gordon theories are a series of 1+1-integrable field theories that are classically equivalent to superstrings on symmetric space spacetimes F/G. They are formulated in terms of a semi-symmetric space as a gauged WZW model with fermions and a potential term to deform it away from the conformal fixed point. We consider in particular the case of PSU(2,2|4)/Sp(2,2)xSp(4) which corresponds to AdS(5)xS(5). We argue that the infinite tower of conserved charges of these theories includes an exotic N=(8,8) supersymmetry that is realized in a mildy non-local way at the Lagrangian level. The supersymmetry is associated to a double central extension of the superalgebra psu(2|2)+psu(2|2) and includes a non-trivial R symmetry algebra corresponding to global gauge transformations, as well as 2-dimensional spacetime translations. We then explicitly construct soliton solutions and show that they carry an internal moduli superspace CP(2|1)xCP(2|1) with both bosonic and Grassmann collective coordinates. We show how to semi-classical quantize the solitons by writing an effective quantum mechanical system on the moduli space which takes the form of a co-adjoint orbit of SU(2|2)xSU(2|2). The spectrum consists of a tower of massive states in the short, or atypical, symmetric representations, just as the giant magnon states of the string world sheet theory, although here the tower is truncated.

39 pages, references added

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Cited by in corpus (13)

• On deformations of AdS_n x S^n supercosets
• An Integrable Deformation of the AdS5 x S5 Superstring
• Integrable Deformations of Strings on Symmetric Spaces
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• New Dressing Factors for AdS3/CFT2
• Bound States of the q-Deformed AdS5 x S5 Superstring S-matrix
• Supersymmetry Flows, Semi-Symmetric Space Sine-Gordon Models And The Pohlmeyer Reduction
• Homogeneous Yang-Baxter deformations as undeformed yet twisted models
• Exploring The Lambda Model Of The Hybrid Superstring
• Symplectic Deformations of Integrable Field Theories and AdS/CFT
• Integrability of the $\lambda$-deformation of the PCM with spectators
• Towards a quadratic Poisson algebra for the subtracted classical monodromy of Symmetric Space Sine-Gordon theories
• Novel aspects of integrability for NLSMs in symmetric spaces