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Conference Paper: Orientifold Donaldson-Thomas theory of quivers
Title | Orientifold Donaldson-Thomas theory of quivers |
---|---|
Authors | |
Issue Date | 2014 |
Publisher | Korea Institute for advanced Study (KIAS). |
Citation | Conference on Strings, Quivers and Cluster Algebras in Mathematical Physics, Seoul, Korea, 18-22 December 2014 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. Wall-crossing formulas, describing the behaviour of
generating functions counting semistable self-dual representations under
changes in stability, recover formulas predicted in the string theory literature
on orientifolds. In certain cases, wall-crossing can be understood in terms of
quantum dilogarithm identities that are in some sense square roots of the
identities appearing in ordinary Donaldson-Thomas theory. The main tool we
use is a representation of the Hall algebra that is of independent interest- it
is a model for the space of BPS states in an orientifolded theory. |
Persistent Identifier | http://hdl.handle.net/10722/256033 |
DC Field | Value | Language |
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dc.contributor.author | Young, MB | - |
dc.date.accessioned | 2018-07-16T07:32:48Z | - |
dc.date.available | 2018-07-16T07:32:48Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | Conference on Strings, Quivers and Cluster Algebras in Mathematical Physics, Seoul, Korea, 18-22 December 2014 | - |
dc.identifier.uri | http://hdl.handle.net/10722/256033 | - |
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. Wall-crossing formulas, describing the behaviour of generating functions counting semistable self-dual representations under changes in stability, recover formulas predicted in the string theory literature on orientifolds. In certain cases, wall-crossing can be understood in terms of quantum dilogarithm identities that are in some sense square roots of the identities appearing in ordinary Donaldson-Thomas theory. The main tool we use is a representation of the Hall algebra that is of independent interest- it is a model for the space of BPS states in an orientifolded theory. | - |
dc.language | eng | - |
dc.publisher | Korea Institute for advanced Study (KIAS). | - |
dc.relation.ispartof | Conference on Strings, Quivers and Cluster Algebras in Mathematical Physics | - |
dc.title | Orientifold Donaldson-Thomas theory of quivers | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Young, MB: mbyoung@hku.hk | - |
dc.identifier.hkuros | 243911 | - |
dc.publisher.place | Seoul, Korea | - |