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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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Detalles Bibliográficos
Autores principales: Eager, Richard, Selmani, Sam Alexandre, Walcher, Johannes
Lenguaje:eng
Publicado: 2016
Materias:
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”.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2016
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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