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26 April 2024 |
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Liouville's Imaginary Shadow | | Volker Schomerus
; Paulina Suchanek
; | | Date: |
5 Oct 2012 | | Abstract: | N=1 super Liouville field theory is one of the simplest non-rational
conformal field theories. It possesses various important extensions and
interesting applications, e.g. to the AGT relation with 4D gauge theory or the
construction of the OSP(1|2) WZW model. In both setups, the N=1 Liouville field
is accompanied by an additional free fermion. Recently, Belavin et al.
suggested a bosonization of the product theory in terms of two bosonic
Liouville fields. While one of these Liouville fields is standard, the second
turns out to be imaginary (or time-like). We extend the proposal to the R
sector and perform extensive checks based on detailed comparison of 3-point
functions involving several super-conformal primaries and descendants. On the
basis of such strong evidence we sketch a number of interesting potential
applications of this intriguing bosonization. | | Source: | arXiv, 1210.1856 | | Services: | Forum | Review | PDF | Favorites | |
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