Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite Heisenbeg Groups and Seiberg Dualities in Quiver Gauge Theories   A large class of quiver gauge theories admits the action of finite Heisenberg
groups of the form Heis(Z_q x Z_q). This Heisenberg group is generated by a
manifest Z_q shift symmetry acting on the quiver along with a second Z_q
rephasing (clock) generator acting on the links of the quiver. Under Seiberg
duality, however, the action of the shift generator is no longer manifest, as
the dualized node has a different structure from before. Nevertheless, we
demonstrate that the Z_q shift generator acts naturally on the space of all
Seiberg dual phases of a given quiver. We then prove that the space of Seiberg
dual theories inherits the action of the original finite Heisenberg group,
where now the shift generator Z_q is a map among fields belonging to different
Seiberg phases. As examples, we explicitly consider the action of the
Heisenberg group on Seiberg phases for C^3/Z_3, Y^{4,2} and Y^{6,3} quiver.

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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: math
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas