332 research outputs found
Curious patterns of IR symmetry enhancement
We study several cases of IR enhancements of global symmetry in four
dimensions. In particular, we consider a sequence of supersymmetric
gauge theories () with vectors and spinor matter with
components. We show that the subgroup of the flavor symmetry of these theories
rotating the matter in the spinor representations in the UV, when proper gauge
singlet fields are added, enhances to the commutant of in . We
discuss several other interesting cases of enhanced symmetries and the
interplay between symmetry enhancement and self-duality. We also make some
observations about possible interconnections between chiral ring relations and
symmetry enhancement. Finally, we conjecture relations of the discussed models
to compactifications of certain conformal matter models in six dimensions on
tori. The conjecture is based on deriving a relation between five dimensional
models with gauge groups and conformal theories in six dimensions. As a
by product of our considerations we discover a new instance of a simple
self-duality of a theory with an gauge group.Comment: 37 pages + appendices, 5 figure
D-type Conformal Matter and SU/USp Quivers
We discuss the four dimensional models obtained by compactifying a single M5
brane probing singularity (minimal D-type conformal matter in
six dimensions) on a torus with flux for abelian subgroups of the
flavor symmetry. We derive the resulting quiver field theories in four
dimensions by first compactifying on a circle and relating the flux to duality
domain walls in five dimensions. This leads to novel dualities in
4 dimensions which arise from distinct five dimensional realizations of the
circle compactifications of the D-type conformal matter.Comment: 38 pages, 13 figure
Compactifications of ADE conformal matter on a torus
In this paper we study compactifications of ADE type conformal matter, N M5
branes probing ADE singularity, on torus with flux for global symmetry. We
systematically construct the four dimensional theories by first going to five
dimensions and studying interfaces. We claim that certain interfaces can be
associated with turning on flux in six dimensions. The interface models when
compactified on a circle comprise building blocks for constructing four
dimensional models associated to flux compactifications of six dimensional
theories on a torus. The theories in four dimensions turn out to be quiver
gauge theories and the construction implies many interesting cases of IR
symmetry enhancements and dualities of such theories.Comment: 66 pages; 38 figure
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