Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Testing S-duality with non-orientable surfaces   Kapustin and Witten showed that a twisted version of N=4 gauge theory in four
dimensions compactifies to a two-dimensional sigma-model whose target space is
the Hitchin moduli space. In this talk, I consider the reduction of the gauge
theory on a four dimensional orientable spacetime manifold which is not a
global product of two surfaces but contains embedded non-orientable surfaces.
The low energy theory is a sigma-model on a two dimensional worldsheet whose
boundary components end on branes constructed from the Hitchin moduli space
associated to a non-orientable surface. I will also compare the discrete
topological fluxes in four and two dimensional theories and verify the mirror
symmetry on branes as predicted by the S-duality in gauge theory. This provides
another non-trivial test of $S$-duality using reduction along possibly
non-orientable surfaces. Finally, I consider the quantisation of the Hitchin
moduli space from a non-orientable surface as an example of quantisation via
branes and mirror symmetry.

16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph