Math @ Duke

Publications [#248084] of M. Ronen Plesser
Papers Published
 Morrison, DR; Plesser, MR, Towards mirror symmetry as duality for two dimensional Abelian gauge theories,
Nuclear Physics B  Proceedings Supplements, vol. 46 no. 13
(1996),
pp. 177186 [9508107], [doi]
(last updated on 2018/07/17)
Abstract: Superconformal sigma models with CalabiYau target spaces described as complete intersection subvarieties in toric varieties can be obtained as the lowenergy limit of certain abelian gauge theories in two dimensions. We formulate mirror symmetry for this class of CalabiYau spaces as a duality in the abelian gauge theory, giving the explicit mapping relating the two Lagrangians. The duality relates inequivalent theories which lead to isomorphic theories in the lowenergy limit. This formulation suggests that mirror symmetry could be derived using abelian duality. The application of duality in this context is complicated by the presence of nontrivial dynamics and the absence of a global symmetry. We propose a way to overcome these obstacles, leading to a more symmetric Lagrangian. The argument, however, fails to produce a derivation of the conjecture.


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