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Self-dual quiver moduli and orientifold Donaldson-Thomas invariants
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.Comment: 24 pages. The factorization used to define orientifold DT invariants
has been slightly revise
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