Phases of five-dimensional supersymmetric gauge theories

Abstract

Five-dimensional N = 1 theories with gauge group U (N ), SU (N ), U Sp(2N ) and SO(N ) are studied at large rank through localization on a large sphere. The phase diagram of theories with fundamental hypermultiplets is universal and characterized by third order phase transitions, with the exception of U (N ), that shows both second and third order transitions. The phase diagram of theories with adjoint or (anti-)symmetric hypermultiplets is also determined and found to be universal. Moreover, Wilson loops in fundamental and antisymmetric representations of any rank are analyzed in this limit. Quiver theories are discussed as well. All the results substantiate the F-theorem.

Electrostatic Description of Five-dimensional SCFTs

“…These examples show that our calculations (valid for the SCFT) are capturing the same Physics as the matrix models do, for the IR-QFT description of the system [52], [51], [74].…”

“…Other examples include the value of the Partition function for the theory on a five-sphere and Wilson loops. Thanks to the power of localisation-for a review relevant to the present QFTs see [71]-the calculation of these SUSY observables is reduced to finite dimensional integrals, see the papers [72], [73], [74], [52], [51]. Below, we perform holographic computations that can be put in correspondence with the results of these works.…”

Wilson loops for 5d and 3d conformal linear quivers

“…The case of N = 1 five dimensional linear quiver SCFTs (with eight Poincaré supercharges) was initially analysed holographically in [10]. A non-exhaustive list of papers testing the correspondence and analysing predictions derived for this case is [10][11][12][13][14][15][16][17][18][19][20].…”