Tropical geometry and five dimensional Higgs branches at infinite coupling View Full Text


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Article Info

DATE

2019-01-08

AUTHORS

Santiago Cabrera, Amihay Hanany, Futoshi Yagi

ABSTRACT

Superconformal five dimensional theories have a rich structure of phases and brane webs play a crucial role in studying their properties. This paper is devoted to the study of a three parameter family of SQCD theories, given by the number of colors Nc for an SU Nc gauge theory, number of fundamental flavors Nf, and the Chern Simons level k. The study of their infinite coupling Higgs branch is a long standing problem and reveals a rich pattern of moduli spaces, depending on the 3 values in a critical way. For a generic choice of the parameters we find a surprising number of 3 different components, with intersections that are closures of height 2 nilpotent orbits of the flavor symmetry. This is in contrast to previous studies where except for one case (Nc = 2, Nf = 2), the parameters were restricted to the cases of Higgs branches that have only one component. The new feature is achieved thanks to a concept in tropical geometry which is called stable intersection and allows for a computation of the Higgs branch to almost all the cases which were previously unknown for this three parameter family apart form certain small number of exceptional theories with low rank gauge group. A crucial feature in the construction of the Higgs branch is the notion of dressed monopole operators. More... »

PAGES

68

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    http://scigraph.springernature.com/pub.10.1007/jhep01(2019)068

    DOI

    http://dx.doi.org/10.1007/jhep01(2019)068

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1111314197


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    95 phase
    96 previous studies
    97 problem
    98 properties
    99 rank gauge group
    100 rich pattern
    101 rich structure
    102 role
    103 small number
    104 space
    105 stable intersection
    106 structure
    107 study
    108 surprising number
    109 symmetry
    110 thanks
    111 theory
    112 tropical geometry
    113 values
    114 way
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