Notes on Non-Critical Superstrings in Various Dimensions

Abstract

We study non-critical superstrings propagating in $d\le 6$ dimensional Minkowski space or equivalently, superstrings propagating on the two-dimensional Euclidean black hole tensored with d-dimensional Minkowski space. We point out a subtlety in the construction of supersymmetric theories in these backgrounds, and explain how this does not allow a consistent geometric interpretation in terms of fields propagating on a cigar-like spacetime. We explain the global symmetries of the various theories by using their description as the near horizon geometry of wrapped NS5-brane configurations. In the six-dimensional theory, we present a CFT description of the four-dimensional moduli space and the global O(3) symmetry. The worldsheet action invariant under this symmetry contains both the N=2 sine-Liouville interaction and the cigar metric, thereby providing an example where the two interactions are naturally present in the same worldsheet lagrangian already at the non-dynamical level.

33 pages, harvmac

References in corpus (4)

• Duality of the Fermionic 2d Black Hole and N=2 Liouville Theory as Mirror Symmetry
• NS5-Branes, T-Duality and Worldsheet Instantons
• Remarks on the Warped Deformed Conifold
• Mirror Mirror On The Wall: On 2d Black Holes and Liouville Theory

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