TTbar deformation and the light-cone gauge

Abstract

The homogeneous inviscid Burgers equation which determines the spectrum of a TTbar deformed model has a natural interpretation as the condition of the gauge invariance of the target space-time energy and momentum of a (non-critical) string theory quantised in a generalised uniform light-cone gauge which depends on the deformation parameter. As a simple application of the light-cone gauge interpretation we derive the TTbar deformed Lagrangian for a system of any number of scalars, fermions and chiral bosons with an arbitrary potential. We find that the TTbar deformation is driven by the canonical Noether stress-energy tensor but not the covariant one.

arXiv comment26 pages, more comments, added refs, misprints corrected

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• $T\overline{T}$, $\tilde{J}J$, $JT$ and $\tilde{J}T$ deformations
• $T\bar{T}$ deformations as TsT transformations
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• New Dressing Factors for AdS3/CFT2
• Note on the nonrelativistic $T\bar{T}$ deformation
• Lax Connections in $T\bar{T}$-deformed Integrable Field Theories
• On the $T\bar{T}$ deformation of the compactified boson and its interpretation in Lattice Gauge Theory
• Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs
• Canonical maps and integrability in $T\bar{T}$ deformed 2d CFTs
• New Non-Relativistic String in AdS(5)xS(5)
• Canonical Analysis of New Non-Relativistic String Action and Uniform Light-Cone Gauge Formulation