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Five-Dimensional Gauge Theories from Shifted Web Diagrams

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arxiv 1810.05109 v2 pith:3GG4NKVA submitted 2018-10-11 hep-th

Brice Bastian , Stefan Hohenegger , Amer Iqbal , Soo-Jong Rey This is my paper · ORCID
classification hep-th
keywords gaugetheoriesarxivdiagramsmattershiftedtoricengineer
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abstract

In previous works (arXiv:1610.07916, arXiv:1711.07921, arXiv:1807.00186) we studied a class of toric Calabi-Yau threefolds which engineer six-dimensional supersymmetric gauge theories with gauge group $U(N)$ and adjoint matter. The K\"ahler moduli space of these manifolds can be extended through flop transformations to include regions which are described by so-called shifted toric web diagrams. In this paper we analyse gauge theories that are engineered by these shifted toric web diagrams and argue that in specific limits, some of the them engineer five-dimensional quiver gauge theories with gauge group $G\subset U(N)$ and with fundamental and bi-fundamental matter. We discuss several examples in detail and describe how the matter sector is obtained from the six-dimensional parent theory.

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    The authors give a combinatorial partition function for A-type little string theories with a full-type surface defect and argue that two NS-limit regularizations are both regular due to a recursive pole-cancellation identity.

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