Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quiver Hecke superalgebras   We introduce a new family of superalgebras which should be considered as a
super version of the Khovanov-Lauda-Rouquier algebras. Let $I$ be the set of
vertices of a Dynkin diagram with parity. To this data, we associate a family
of graded superalgebras, the quiver Hecke superalgebras. When there are no odd
vertices, these algebras are nothing but the usual Khovanov-Lauda-Rouquier
algebras. We then define another family of graded superalgebras, the quiver
Hecke-Clifford superalgebras, and show that they are weakly Morita
superequivalent to the quiver Hecke superalgebras. Moreover, we prove that the
affine Hecke-Clifford superalgebras, as well as their degenerate version, the
affine Sergeev superalgebras, are isomorphic to the quiver Hecke-Clifford
superalgebras after a completion.

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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th