Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deforming the Lie algebra of vector fields on $S^1$ inside the Lie
  algebra of pseudodifferential symbols on $S^1$   We classify nontrivial deformations of the standard embedding of the Lie
algebra $\Vect(S^1)$ of smooth vector fields on the circle, into the Lie
algebra~$\PD(S^1)$ of pseudodifferential symbols on $S^1$. This approach leads
to deformations of the central charge induced on $\Vect(S^1)$ by the canonical
central extension of $\PD(S^1)$. As a result we obtain a quantized version of
the second Bernoulli polynomial.

35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph