Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mutation, Witten Index, and Quiver Invariant   We explore Seiberg-like dualities, or mutations, for ${\cal N}=4$ quiver
quantum mechanics in the context of wall-crossing. In contrast to higher
dimensions, the 1d Seiberg-duality must be performed with much care. With fixed
Fayet-Iliopoulos constants, at most two nodes can be mutated, one left and the
other right, mapping a chamber of a quiver into a chamber of a mutated quiver.
We delineate this complex pattern for triangle quivers and show how the Witten
indices are preserved under such finely chosen mutations. On the other hand,
the quiver invariants, or wall-crossing-safe part of supersymmetric spectra,
mutate more straightforwardly, whereby a quiver is mapped to a quiver. The
mutation rule that preserves the quiver invariant is different from the usual
one, however, which we explore and confirm numerically.

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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: math
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an