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20 April 2024
 
  » arxiv » hep-th/9203008

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Gauge Symmetries of the N=2 String
Amit Giveon ; Alfred Shapere ;
Date 4 Mar 1992
Journal Nucl.Phys. B386 (1992) 43-62
Subject hep-th
AbstractWe study the underlying gauge symmetry algebra of the $N=2$ string, which is broken down to a subalgebra in any spacetime background. For given toroidal backgrounds, the unbroken gauge symmetries (corresponding to holomorphic and antiholomorphic worldsheet currents) generate area-preserving diffeomorphism algebras of null 2-tori. A minimal Lie algebraic closure containing all the gauge symmetries that arise in this way, is the background--independent volume--preserving diffeomorphism algebra of the target Narain torus $T^{4,4}$. The underlying symmetries act on the ground ring of functions on $T^{4,4}$ as derivations, much as in the case of the $d=2$ string. A background--independent spacetime action valid for noncompact metrics is presented, whose symmetries are volume--preserving diffeomorphisms. Possible extensions to $N=2$ and $N=1$ heterotic strings are briefly discussed.
Source arXiv, hep-th/9203008
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