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Exponential Networks and Representations of Quivers
We study the geometric description of BPS states in supersymmetric theories with eight supercharges in terms of geodesic networks on suitable spectral curves. We lift and extend several constructions of Gaiotto-Moore-Neitzke from gauge theory to local Calabi-Yau threefolds and related models. The di...
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Lenguaje: | eng |
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2016
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Acceso en línea: | https://dx.doi.org/10.1007/JHEP08(2017)063 http://cds.cern.ch/record/2234074 |
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author | Eager, Richard Selmani, Sam Alexandre Walcher, Johannes |
author_facet | Eager, Richard Selmani, Sam Alexandre Walcher, Johannes |
author_sort | Eager, Richard |
collection | CERN |
description | We study the geometric description of BPS states in supersymmetric theories with eight supercharges in terms of geodesic networks on suitable spectral curves. We lift and extend several constructions of Gaiotto-Moore-Neitzke from gauge theory to local Calabi-Yau threefolds and related models. The differential is multi-valued on the covering curve and features a new type of logarithmic singularity in order to account for D0-branes and non-compact D4-branes, respectively. We describe local rules for the three-way junctions of BPS trajectories relative to a particular framing of the curve. We reproduce BPS quivers of local geometries and illustrate the wall-crossing of finite-mass bound states in several new examples. We describe first steps toward understanding the spectrum of framed BPS states in terms of such “exponential networks”. |
id | cern-2234074 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2016 |
record_format | invenio |
spelling | cern-22340742023-10-04T08:51:33Zdoi:10.1007/JHEP08(2017)063http://cds.cern.ch/record/2234074engEager, RichardSelmani, Sam AlexandreWalcher, JohannesExponential Networks and Representations of Quiversmath.SGMathematical Physics and Mathematicsmath.AGhep-thParticle Physics - TheoryWe study the geometric description of BPS states in supersymmetric theories with eight supercharges in terms of geodesic networks on suitable spectral curves. We lift and extend several constructions of Gaiotto-Moore-Neitzke from gauge theory to local Calabi-Yau threefolds and related models. The differential is multi-valued on the covering curve and features a new type of logarithmic singularity in order to account for D0-branes and non-compact D4-branes, respectively. We describe local rules for the three-way junctions of BPS trajectories relative to a particular framing of the curve. We reproduce BPS quivers of local geometries and illustrate the wall-crossing of finite-mass bound states in several new examples. We describe first steps toward understanding the spectrum of framed BPS states in terms of such “exponential networks”.We study the geometric description of BPS states in supersymmetric theories with eight supercharges in terms of geodesic networks on suitable spectral curves. We lift and extend several constructions of Gaiotto-Moore-Neitzke from gauge theory to local Calabi-Yau threefolds and related models. The differential is multi-valued on the covering curve and features a new type of logarithmic singularity in order to account for D0-branes and non-compact D4-branes, respectively. We describe local rules for the three-way junctions of BPS trajectories relative to a particular framing of the curve. We reproduce BPS quivers of local geometries and illustrate the wall-crossing of finite-mass bound states in several new examples. We describe first steps toward understanding the spectrum of framed BPS states in terms of such "exponential networks."arXiv:1611.06177oai:cds.cern.ch:22340742016-11-18 |
spellingShingle | math.SG Mathematical Physics and Mathematics math.AG hep-th Particle Physics - Theory Eager, Richard Selmani, Sam Alexandre Walcher, Johannes Exponential Networks and Representations of Quivers |
title | Exponential Networks and Representations of Quivers |
title_full | Exponential Networks and Representations of Quivers |
title_fullStr | Exponential Networks and Representations of Quivers |
title_full_unstemmed | Exponential Networks and Representations of Quivers |
title_short | Exponential Networks and Representations of Quivers |
title_sort | exponential networks and representations of quivers |
topic | math.SG Mathematical Physics and Mathematics math.AG hep-th Particle Physics - Theory |
url | https://dx.doi.org/10.1007/JHEP08(2017)063 http://cds.cern.ch/record/2234074 |
work_keys_str_mv | AT eagerrichard exponentialnetworksandrepresentationsofquivers AT selmanisamalexandre exponentialnetworksandrepresentationsofquivers AT walcherjohannes exponentialnetworksandrepresentationsofquivers |