Six-dimensionalD_Ntheory and four-dimensional SO-USp quivers

Abstract

We realize four-dimensional N = 2 superconformal quiver gauge theories with alternating SO and USp gauge groups as compactifications of the six-dimensional D N theory with defects. The construction can be used to analyze infinitely stronglycoupled limits and S-dualities of such gauge theories, resulting in a new class of isolated four-dimensional N = 2 superconformal field theories with SO(2N) 3 flavor symmetry.

Tinkertoys for the twisted D-series

“…In practice, we use the fact that every non-special puncture belongs to a special piece which contains a (unique) special puncture; their constraints are the same, except that some a-constraints are relaxed as dictated by the SommersAchar group; see §3.4 and §3.5 of [8], and §2.1 of [4]. For the twisted D-series, one can also compute the c-constraints, and partial information about the a-constraints, both for special and non-special punctures, by studying the linear SO −Sp quiver corresponding to the puncture; see appendix B of [9]. The constraints are non-trivially consistent with the dimension of the Hitchin nilpotent orbit, the value of δnv, and the collisions of punctures using k-differentials.…”

“…Thus, the simple factors of a non-simple subgroup Sp(3) × Sp(3) ⊂ Sp(6) are being gauged by two consecutive cylinders. (We studied examples of this "atypical" gauging in the twisted A 2N −1 series [14]; see also [9] for an earlier discussion in the context of SO − Sp linear quivers. )…”

“…In this paper, we want to continue our classification program by adding outer-automorphism twists to the theories of type D N . Preliminary studies of the twisted D N series were made in [9,10,15].…”

“…In particular, the Seiberg-Witten curve Σ is a branched cover of C described by the spectral curve [9], Σ : det(Φ − λI) = λ 2N + N −1 j=1 φ 2j λ 2N −2j +φ 2 = 0, (2.1) 2 We follow the standard practice of denoting a global symmetry G together with its level, k, as G k .…”

Brane webs in the presence of an O5−-plane and 4d class S theories of type D

“…There are known methods to compute various quantities of interest for this class of theories, and in this subsection we shall summarize the ones used in this article. All of these, and much more, can be found in [16,17].…”