Affiliation:
1. University of Milano-Bicocca
2. Technion – Israel Institute of Technology
3. University of Tokyo
Abstract
We discuss compactifications of rank QQ
E-string theory on a torus with fluxes for abelian subgroups of the
E_8E8
global symmetry of the 6d6d
SCFT. We argue that the theories corresponding to such tori are built
from a simple model we denote as E[USp(2Q)]E[USp(2Q)].
This model has a variety of non trivial properties. In particular the
global symmetry is USp(2Q)\times USp(2Q)\times U(1)^2USp(2Q)×USp(2Q)×U(1)2
with one of the two USp(2Q)USp(2Q)
symmetries emerging in the IR as an enhancement of an
SU(2)^QSU(2)Q
symmetry of the UV Lagrangian. The E[USp(2Q)]E[USp(2Q)]
model after dimensional reduction to 3d3d
and a subsequent Coulomb branch flow is closely related to the familiar
3d3dT[SU(Q)]T[SU(Q)]
theory, the model residing on an S-duality domain wall of
4d4d\mathcal{N}=4𝒩=4SU(Q)SU(Q)
SYM. Gluing the E[USp(2Q)]E[USp(2Q)]
models by gauging the USp(2Q)USp(2Q)
symmetries with proper admixtures of chiral superfields gives rise to
systematic constructions of many examples of
4d4d
theories with emergent IR symmetries. We support our claims by various
checks involving computations of anomalies and supersymmetric partition
functions. Many of the needed identities satisfied by the supersymmetric
indices follow directly from recent mathematical results obtained by
E. Rains.
Funder
European Research Council
Instituto Nazionale di Fisica Nucleare
Israel Science Foundation
Ministry of Education, Culture, Sports, Science and Technology
Università degli Studi di Milano-Bicocca
Subject
General Physics and Astronomy
Cited by
37 articles.
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