On the Twisted (2,0) and Little-String Theories

Abstract

We study the compactification of the $(2,0)$ and type-II little-string theories on $S^1$, $T^2$ and $T^3$ with an R-symmetry twist that preserves half the supersymmetry. We argue that it produces the same moduli spaces of vacua as compactification of the $(1,0)$ theory with $E_8$ Wilson lines given by a maximal embedding of SU(2). In certain limits, this reproduces the moduli space of SU(2) with a massive adjoint hyper-multiplet. In the type-II little-string theory case, we observe a peculiar phase transition where the strings condense. We conjecture a generalization to more than two 5-branes which involves instantons on non-commutative $T^4$. We conclude with open questions.

27pp TeX, one eps figure

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• The Curve of Compactified 6D Gauge Theories and Integrable Systems
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• Compactified Little String Theories and Compact Moduli Spaces of Vacua
• Two Conjectures on Gauge Theories, Gravity, and Infinite Dimensional Kac-Moody Groups
• Ground States of S-duality Twisted N=4 Super Yang-Mills Theory
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• Chiral Compactifications of 6D Conformal Theories
• Noncommutative Dipole Field Theories And Unitarity
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• Supersymmetric interactions of a six-dimensional self-dual tensor and fixed-shape second quantized strings
• K3 metrics from little string theory
• Noncommutative Geometry and Twisted Little-String Theories
• Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and Integrable Systems
• New M(atrix)-models for Commutative and Noncommutative Gauge Theories
• Instantons on a Non-commutative $T^4$ from Twisted (2,0) and Little-String Theories