Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: S and T matrices for the super $U(1,1)$ WZW model. Application to
  surgery and 3-manifold invariants based on the Alexander Conway polynomial   We carry on the study of the Alexander Conway invariant from the quantum
field theory point of view started in \cite{RS91}.
  We first discuss in details $S$ and $T$ matrices for the $U(1,1)$ super WZW
model and obtain, for the level $k$ an integer, new finite dimensional
representations of the modular group. These have the remarkable property that
some of the $S$ matrix elements are infinite. Moreover, typical and atypical
representations as well as indecomposable blocks are mixed: truncation to
maximally atypical representations, as advocated in some recent papers, is not
consistent.
  The main topological application of this work is the computation of Alexander
invariants for 3-manifolds and for links in 3-manifolds. Invariants of
3-manifolds seem to depend trivially on the level $k$, but still contain
interesting topological information. For Seifert manifolds for instance, they
coincide with the order of the first homology group. Examples of invariants of
links in 3-manifolds are given. They exhibit interesting arithmetic properties.

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The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
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The categories of this paper are: solv-int
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga