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arXiv · 1408.4888

Self-dual quiver moduli and orientifold Donaldson-Thomas invariants

Matthew B. Young
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Abstract

Motivated by the counting of BPS states in string theory with orientifolds, we study moduli spaces of self-dual representations of a quiver with contravariant involution. We develop Hall module techniques to compute the number of points over finite fields of moduli stacks of semistable self-dual representations. Wall-crossing formulas relating these counts for different choices of stability parameters recover the wall-crossing of orientifold BPS/Donaldson-Thomas invariants predicted in the physics literature. In finite type examples the wall-crossing formulas can be reformulated in terms of identities for quantum dilogarithms acting in representations of quantum tori.

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Matthew B. Young. 2014-08-21. Self-dual quiver moduli and orientifold Donaldson-Thomas invariants. https://arxiv.org/abs/1408.4888

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