On the torus compactifications of Z2 orbifolds of E-string theories

Abstract

We consider the torus compactifications with flux of a class of 6d (1, 0) SCFTs that can be engineered as the low-energy theories on M5-branes near an M9-plane on a C 2 /Z 2 singularity. Specifically, we concentrate on the two SCFTs where the Z 2 orbifold action acts non-trivially on the E 8 global symmetry. We analyze this problem by compactifying to 5d, where we can exploit the relation to 5d duality domain walls. By a suitable guess of the domain wall theories, the resulting 4d theories can be conjectured. These can then be tested by comparing their properties, notably anomalies and symmetries, against the 6d expectations. These constructions lead to various interesting 4d phenomena like dualities and symmetry enhancements. * gabi.zafrir@ipmu.jp

Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d

“…The theories we obtain in this way have a larger symmetry in the IR than the one present in the UV, and we get a pattern of emergent symmetries. One natural direction to look for the origin of this pattern is to examine compactifications of six dimensional theories on a Riemann surface with fluxes for the global symmetries, as recently explained in [15][16][17]19]. And indeed, using such compactifications one can argue for the four dimensional enhanced symmetries we encounter, as discussed below.…”

“…(3.29)) we will be able to conjecture its origin from six-dimensional geometric constructions. Explicitly, we will conjecture that the 4d fixed points along with their enhanced symmetries can be generated through the compactification of a family of 6d SCFTs on a Riemann surface with fluxes for the global symmetries (see [9][10][11][12][13][14][15][16][17][18][19][20][21] for discussions of such compactifications). The motivation here is to seek a physical explanation for the enhancement, in which these fixed points are viewed as low-energy effective 4d theories obtained from putting 6d SCFTs on a compact Riemann surface with fluxes.…”

More on $$ \mathcal{N} $$ =2 S-folds

“…We can analyze the compactification by first reducing to 5d and then further reducing to 4d, as done in [14]. Next, we shall concentrate on the S [26] (see also [27]). Reducing first to 5d, we can argue that the resulting 4d theories are given by a twisted compactification of the 5d SCFTs UV completing the 5d gauge theories SU(2r…”

Anomaly inflow, accidental symmetry, and spontaneous symmetry breaking

“…The reduction of 6d (2,0) theories to 4d N = 2 QFTs was first analyzed in [10,11], and reduction to 4d N = 1 QFTs has been studied in [12][13][14][15][16]. The compactification of 6d (1,0) theories has been addressed in [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32].…”