Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superpotentials, Calabi-Yau algebras, and PBW deformations   The paper [9] by Bocklandt, Schedler and Wemyss considers path algebras with
relations given by the higher derivations of a superpotential, giving a
condition for such an algebra to be Calabi-Yau. In this paper we extend these
results, giving a condition for a PBW deformation of a Calabi-Yau, Koszul path
algebra with relations given by a superpotential to have relations given by a
superpotential, and proving these are Calabi-Yau in certain cases.
  We apply our methods to symplectic reflection algebras, where we show that
every symplectic reflection algebra is Morita equivalent to a path algebra
whose relations are given by the higher derivations of an inhomogeneous
superpotential. In particular we show these are Calabi-Yau regardless of the
deformation parameter.
  Also, for G a finite subgroup of GL_2(C) not contained in SL_2(C), we
consider PBW deformations of a path algebra with relations which is Morita
equivalent to C[x,y] \rtimes G. We show there are no nontrivial PBW
deformations when G is a small subgroup.

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The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol