1. Dimers in a bottle
- Author
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Shani Meynet, Valdo Tatitscheff, Eduardo García-Valdecasas, Antoine Pasternak, Institut de Recherche Mathématique Avancée (IRMA), and Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
High Energy Physics - Theory ,Nuclear and High Energy Physics ,Brane Dynamics in Gauge Theories ,FOS: Physical sciences ,D-brane ,torus ,QC770-798 ,Fixed point ,01 natural sciences ,Gauge-gravity correspondence ,orientifold ,Supersymmetric Gauge Theory ,Theoretical physics ,Singularity ,Orientifold ,membrane model: fractional ,Mathematics::K-Theory and Homology ,Nuclear and particle physics. Atomic energy. Radioactivity ,0103 physical sciences ,Brane cosmology ,0101 mathematics ,Physique théorique et mathématique ,Physics ,010308 nuclear & particles physics ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,010102 general mathematics ,Torus ,trigger ,singularity ,Dimer ,High Energy Physics - Theory (hep-th) ,fixed point ,Supersymmetric gauge theory ,D-branes ,Gravitational singularity - Abstract
We revisit D3-branes at toric CY$_3$ singularities with orientifolds and their description in terms of dimer models. We classify orientifold actions on the dimer through smooth involutions of the torus. In particular, we describe new orientifold projections related to maps on the dimer without fixed points, leading to Klein bottles. These new orientifolds lead to novel $\mathcal{N}=1$ SCFT's that resemble, in many aspects, non-orientifolded theories. For instance, we recover the presence of fractional branes and some of them trigger a cascading RG-flow \`a la Klebanov-Strassler. The remaining involutions lead to non-supersymmetric setups, thus exhausting the possible orientifolds on dimers., Comment: 42 pages, 42 figures and 1 Tikz drawing
- Published
- 2021
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