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Article: Self-dual quiver moduli and orientifold Donaldson-Thomas invariants
Title | Self-dual quiver moduli and orientifold Donaldson-Thomas invariants |
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Authors | |
Issue Date | 2015 |
Publisher | International Press. |
Citation | Communications in Number Theory an Physics, 2015, v. 9 n. 3, p. 437-475 How to Cite? |
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. |
Persistent Identifier | http://hdl.handle.net/10722/217075 |
DC Field | Value | Language |
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dc.contributor.author | Young, MB | - |
dc.date.accessioned | 2015-09-18T05:47:31Z | - |
dc.date.available | 2015-09-18T05:47:31Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Communications in Number Theory an Physics, 2015, v. 9 n. 3, p. 437-475 | - |
dc.identifier.uri | http://hdl.handle.net/10722/217075 | - |
dc.description.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. | - |
dc.language | eng | - |
dc.publisher | International Press. | - |
dc.relation.ispartof | Communications in Number Theory an Physics | - |
dc.rights | Communications in Number Theory an Physics. Copyright © International Press. | - |
dc.title | Self-dual quiver moduli and orientifold Donaldson-Thomas invariants | - |
dc.type | Article | - |
dc.identifier.email | Young, MB: mbyoung@hku.hk | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.4310/CNTP.2015.v9.n3.a1 | - |
dc.identifier.scopus | eid_2-s2.0-84943625724 | - |
dc.identifier.hkuros | 254044 | - |
dc.identifier.hkuros | 235648 | - |