Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite N Quiver Gauge Theory   At finite N the number of restricted Schur polynomials is greater than or
equal to the number of generalized restricted Schur polynomials. In this note
we study this discrepancy and explain its origin. We conclude that, for quiver
gauge theories, in general, the generalized restricted Schur polynomials
correctly account for the complete set of finite N constraints and they provide
a basis, while the restricted Schur polynomials only account for a subset of
the finite N constraints and are thus overcomplete. We identify several
situations in which the restricted Schur polynomials do in fact account for the
complete set of finite N constraints. In these situations the restricted Schur
polynomials and the generalized restricted Schur polynomials both provide good
bases for the quiver gauge theory. Finally, we demonstrate situations in which
the generalized restricted Schur polynomials reduce to the restricted Schur
polynomials.

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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: cond-mat