TT¯ Deformation and the Light-Cone Gauge

The homogeneous inviscid Burgers equation, which determines the spectrum of a T T ¯ 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...

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Bibliographic Details
Published inProceedings of the Steklov Institute of Mathematics Vol. 309; no. 1; pp. 107 - 126
Main Author Frolov, Sergey A.
Format Journal Article Conference Proceeding
LanguageEnglish
Published Moscow Pleiades Publishing 01.05.2020
Springer Nature B.V
Subjects
Bosons
Burgers equation
Deformation
Fermions
Gauge invariance
Mathematics
Mathematics and Statistics
Scalars
String theory
Tensors
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ISSN0081-5438
1531-8605
DOI10.1134/S0081543820030098

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Summary:The homogeneous inviscid Burgers equation, which determines the spectrum of a T T ¯ 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 T T ¯ deformed Lagrangian for a system of any number of scalars, fermions and chiral bosons with an arbitrary potential. We find that the T T ¯ deformation is driven by the canonical Noether stress-energy tensor but not the covariant one.
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ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543820030098