U-duality Twists and Possible Phase Transitions in 2+1D Supergravity
arXiv:hep-th/9812024 · doi:10.1016/S0550-3213(99)00108-X
Abstract
We study 2+1D toroidal compactifications of M-theory with twists in the U-duality group. These compactifications realize many symmetric-manifolds from the classification of 2+1D extended supergravity moduli-spaces. We then focus on the moduli-space obtained by dimensional reduction of pure N=2 supergravity in 3+1D. This space is realized with an explicit example. Assuming that there are no quantum corrections, we conjecture that the classical discrete duality group has to be augmented with an extra strong/weak coupling duality. This implies the existence of new phases of the theory in which the original 8 compactification radii are all fixed at the Planck scale.
40pp TeX, a typo corrected and references added
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- U(1) x U(1) Quaternionic Metrics from Harmonic Superspace
- Janus configurations with SL(2,Z)-duality twists, Strings on Mapping Tori, and a Tridiagonal Determinant Formula
- Ground States of S-duality Twisted N=4 Super Yang-Mills Theory
- T-duality Twists and Asymmetric Orbifolds
- Selfduality and Chern-Simons Theory
- Closed String Partition Functions in Toroidal Compactifications of Doubled Geometries
- Ground States of Duality-twisted Sigma-Models with K3 Target Space
- Superpotential of the M-theory conifold and type IIA string theory
- Double-Janus Linear Sigma Models and Generalized Reciprocity for Gauss Sums