Inequivalent light-cone gauge-fixings of strings on AdS_n × Sⁿ backgrounds

2023/12/28 by Borsato, Riccardo, Driezen, Sibylle, Hoare, Ben +2 · 2 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2312.17056

Abstract

Light-cone gauge-fixed sigma-models on AdS_n× Sⁿ backgrounds play an important role in the integrability formulation of the AdS/CFT correspondence. The string spectrum of the sigma-model is gauge-independent, however the Hamiltonian and scattering matrix of the transverse worldsheet fields are not. We study how these change for a large family of inequivalent light-cone gauges, which are interpreted as TT, JT_τ, JT_σ and J^τ deformations. We investigate the moduli space of equivalent light-cone gauges and, specialising to AdS₅ × S⁵, compute the different light-cone gauge symmetry algebras, well-known to be \mathfrakpsu(2|2)^{⊕ 2} ⊕ \mathfraku(1)^{⊕ 2} for the standard gauge-fixing. Many integrable deformations require a non-standard light-cone gauge, hence our classification and analysis of inequivalent gauges will be important for analysing such models.

Cited by

• AdS3 integrability, Sine-Gordon and fractional supersymmetry
• Supersymmetry and integrability of the elliptic AdS₃ × S³ × T⁴ superstring

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