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A worldsheet extension of O(d,d;Z) | | Costas Bachas
; Ilka Brunner
; Daniel Roggenkamp
; | | Date: |
21 May 2012 | | Abstract: | We study superconformal interfaces between N=(1,1) supersymmetric sigma
models on tori, which preserve a u(1)^{2d} current algebra. Their fusion is
non-singular and, using parallel transport on CFT deformation space, it can be
reduced to fusion of defect lines in a single torus model. We show that the
latter is described by a semi-group extension of O(d,d;Q), and that (on the
level of Ramond charges) fusion of interfaces agrees with composition of
associated geometric integral transformations. This generalizes the well-known
fact that T-duality can be geometrically represented by Fourier-Mukai
transformations. Interestingly, we find that the topological interfaces between
torus models form the same semi-group upon fusion. We argue that this
semi-group of orbifold equivalences can be regarded as the alpha’ deformation
of the continuous O(d,d) symmetry of classical supergravity. | | Source: | arXiv, 1205.4647 | | Services: | Forum | Review | PDF | Favorites | |
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