2019/05/31 by Tadashi Okazaki
Mathematics · Physics and Astronomy · #Abelian group #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Boundary (topology) #Boundary conformal field theory #Boundary value problem #Dirichlet boundary condition #Duality (order theory) #Gauge theory #Quantum Mechanics and Non-Hermitian Physics #Supersymmetric gauge theory #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1007/jhep08(2019)170
published as JHEP 1908 (2019) 170 · 81 pages, 17 figures, v3: published version
openalex created_date 2019/05/29 · openalex publication_date 2019/08/01 · arxiv created 2019/08/30 · arxiv updated 2019/09/02 · openalex updated_date 2026/08/05
A bstract We propose dual pairs of N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (0, 4) half-BPS boundary conditions for 3d N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 Abelian gauge theories related to mirror symmetry and S-duality by showing the matching of boundary ’t Hooft anomalies and supersymmetric indices. We find simple N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (0, 4) mirror symmetry between 2d N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (0, 4) Abelian gauge theories and free Fermi multiplets that generalizes N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (0, 2) Abelian duality. We also propose a prescription for computing half-index of enriched Neumann boundary condition including 2d boundary bosonic matters by gauging the 2d boundary flavor symmetry of Dirichlet boundary condition. By coupling N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (0,4) half-BPS boundary configurations of 3d N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 gauge theories to quarter-BPS corner configurations of 4d N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 Super Yang-Mills theories, we further obtain a new type of 4d-3d-2d duality that may involve 3d non-Abelian gauge symmetry.