Supersymmetric extension of GCA in 2d View Full Text


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Article Info

DATE

2010-11

AUTHORS

Ipsita Mandal

ABSTRACT

We derive the infinite dimensional Supersymmetric Galilean Conformal Algebra (SGCA) in the case of two spacetime dimensions by performing group contraction on 2d superconformal algebra. We also obtain the representations of the generators in terms of superspace coordinates. Here we find realisations of the SGCA by considering scaling limits of certain 2d SCFTs which are non-unitary and have their left and right central charges become large in magnitude and opposite in sign. We focus on the Neveu-Schwarz sector of the parent SCFTs and develop, in parallel to the GCA studies recently in (hepth/0912.1090), the representation theory based on SGCA primaries, Ward identities for their correlation functions and their descendants which are null states. More... »

PAGES

18

References to SciGraph publications

  • 2010-02. Non-relativistic conformal symmetries in fluid mechanics in THE EUROPEAN PHYSICAL JOURNAL C
  • 2009-03-23. CFT hydrodynamics: symmetries, exact solutions and gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 1986-03. Unitary representations of the Virasoro and super-Virasoro algebras in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2010-01. A covariant form of the Navier-Stokes equation for the infinite dimensional Galilean conformal algebra in JOURNAL OF HIGH ENERGY PHYSICS
  • 1994-06. Schrödinger invariance and strongly anisotropic critical systems in JOURNAL OF STATISTICAL PHYSICS
  • 2009-08-17. The incompressible non-relativistic Navier-Stokes equation from gravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-08. GCA in 2d in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-07-10. Galilean conformal algebras and AdS/CFT in JOURNAL OF HIGH ENERGY PHYSICS
  • 2005-12-13. Non-relativistic superstrings: a new soluble sector of AdS5 × S5 in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-05. Comments on Galilean conformal field theories and their geometric realization in JOURNAL OF HIGH ENERGY PHYSICS
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    http://scigraph.springernature.com/pub.10.1007/jhep11(2010)018

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    http://dx.doi.org/10.1007/jhep11(2010)018

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