(0, 2) Target-space duality, CICYs and reflexive sheaves
نویسندگان
چکیده
منابع مشابه
Duality, CICYs and Reflexive Sheaves
It is shown that the recently proposed target space duality for (0, 2) models is not limited to models admitting a Landau-Ginzburg description. By studying some generic examples it is established for the broader class of vector bundles over complete intersections in toric varieties. Instead of sharing a common Landau-Ginzburg locus, a pair of dual models agrees in more general non-geometric pha...
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We introduce the notions of depth and of when a local ring (or module over a local ring) is “S2”. These notions are found in most books on commutative algebra, see for example [Mat89, Section 16] or [Eis95, Section 18]. Another excellent book that is focussed on these ideas is [BH93]. We won’t be focussing on the commutative algebra, but one should be aware, at the very least, that this backgro...
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It has long been known in universal algebra that any distributive sublattice of congruences of an algebra which consists entirely of commuting congruences yields a sheaf representation of the algebra. In this paper we provide a generalisation of this fact and prove a converse of the generalisation. To be precise, we exhibit a one-to-one correspondence (up to isomorphism) between soft sheaf repr...
متن کاملTarget Space Duality II: Applications
We apply the framework developed in Target Space Duality I: General Theory. We show that both nonabelian duality and Poisson-Lie duality are examples of the general theory. We propose how the formalism leads to a systematic study of duality by studying few scenarios that lead to open questions in the theory of Lie algebras. We present evidence that there are probably new examples of irreducible...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1998
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(97)00842-0