2020/09/30 by Emanuele Beratto, Emanuele Maduli, Noppadol Mekareeya +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Diagonal #Field (mathematics) #Flavour #Gauge (firearms) #Physics of Superconductivity and Magnetism #R-symmetry #Supersymmetry #Supersymmetry breaking #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1007/jhep12(2020)017
53 pages, 6 figures; v2: references added, version published on JHEP
openalex created_date 2020/10/01 · arxiv created 2020/10/30 · openalex publication_date 2020/12/02 · arxiv updated 2020/12/30 · openalex updated_date 2026/08/05
A bstract The study of exactly marginal deformations of superconformal field theories is a topic that has received considerable attention due to their rich properties. We investigate the N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 preserving exactly marginal operators of 3d S -fold SCFTs. Two families of such theories are considered: one is constructed by gauging the diagonal flavour symmetry of the T (U(2)) and T (U(3)) theories, and the other by gauging the diagonal flavour symmetry of the T_[2,12]^[2,12]( SU(4)) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>T</mml:mi> <mml:mfenced> <mml:mn>2</mml:mn> <mml:msup> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:msup> </mml:mfenced> <mml:mfenced> <mml:mn>2</mml:mn> <mml:msup> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:msup> </mml:mfenced> </mml:msubsup> <mml:mfenced> <mml:mrow> <mml:mi>SU</mml:mi> <mml:mfenced> <mml:mn>4</mml:mn> </mml:mfenced> </mml:mrow> </mml:mfenced> </mml:math> theory. In both families, it is possible to turn on a Chern-Simons level for each gauge group and to couple to each theory various numbers of hypermultiplets. The detailed analysis of the exactly marginal operators, along with the superconformal indices, allows us to determine whether supersymmetry gets enhanced in the infrared and to deduce the amount of supersymmetry of the corresponding SCFT.