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

Abstract

In this article we conjecture a relationship between 5d SCFT's, that can be engineered by 5-brane webs in the presence of an O5 − -plane, and 4d class S theories of type D. The specific relation is that compactification on a circle of the former leads to the latter. We present evidence for this conjecture. One piece of evidence, which is also an interesting application of this, is that it suggests identifications between different class S theories. This can in turn be tested by comparing their central charges.

Compactifications of 5d SCFTs with a twist

“…Thus, there is a class S theory associated with this SCFT which describes an antisymmetric hyper and two fundamentals under the SU(2l − 1) global symmetry manifested in the punctures. Also note that we performed a transition of the type considered in [19] so there is an additional hyper in the theory of figure 21 (a).…”

“…The conjectured expression now takes the form: 19) where N N and N λ are τ dependent normalization factors and we use 2λ to mean the partition given by (2λ 1 , 2λ 2 , . .…”

“…This has been previously explored for various SCFTs in [5,18,19]. It can be used to realize various isolated non-Lagrangian 4d theories of the type considered in [1].…”

Magnetic quivers from brane webs with O5 planes

“…One advantage of these brane constructions is that they capture the dynamics of the corresponding 5d gauge theories and, simultaneously, their UV fixed points. Recent developments using brane webs include [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. As known from the SU (2) example with N f < 8 flavours [1,2], it is important to understand the enhancement of the global symmetry of these theories at the fixed point.…”

5-brane webs for 5d $$ \mathcal{N} $$ = 1 G2 gauge theories

“…For example, in [11][12][13], whether we resolve an O7 − -plane into two [p, q] 7-branes or not in a certain 5-brane web configuration gives an explanation for equivalence proposed in [14] of two theories at the UV fixed point, an SU(N + 1) theory with N f ≤ 2N + 6 hypermultiplets in the fundamental representation (flavors) and the Chern-Simons (CS) level κ = ± (N + 3 − N f /2), and an USp(2N ) theory with the same number of flavors. In particular, it has been discussed in [10,15] that 5-brane configurations with an O5-plane can realize an SO(N ) gauge theory even with hypermultiplets in the spinor/conjugate JHEP03(2018)125 spinor representation. It is also noticeable that one can differentiate the discrete theta angle (θ = 0, π) of the 5d pure USp(2N ) gauge theory [2][3][4] from 5-brane webs with an O5-plane.…”