Abstract
We find a geometric description of interacting βγ-systems as a null Kac-Moody quotient of a nonlinear sigma-model for systems with varying amounts of supersymmetry.
Highlights
Generalized βγ-systems arise in many contexts — including string theory and conformal field-theory; many papers have explored their quantum properties — see, e.g. [1,2,3,4,5,6,7,8]
We explore the geometry of such systems interacting with general nonlinear sigma-models
We reduce to (1, 2) superspace and use the results of the section 4
Summary
Generalized βγ-systems arise in many contexts — including string theory and conformal field-theory; many papers have explored their quantum properties — see, e.g. [1,2,3,4,5,6,7,8]. We assume that b ≡ b++ has spin one, and c is a scalar This system in not a sigma-model, and the target space is not a manifold in the usual sense. We have found a geometric interpretation of our βγ-system: it is a chiral or Kac-Moody quotient along a null killing vector of a sigma-model with target space R1,1. In this case, these models arise naturally in terms of semichiral superfields, and we find a pseudo generalized Kahler geometry.
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