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On Four Dimensional Mirror Symmetry
Author(s) -
Losev A.,
Nekrasov N.,
Shatashvili S.
Publication year - 2000
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/(sici)1521-3978(20001)48:1/3<163::aid-prop163>3.0.co;2-3
Subject(s) - mirror symmetry , invariant (physics) , instanton , conjecture , lagrangian , symmetry (geometry) , mathematics , pure mathematics , hodge theory , theoretical physics , mathematical physics , physics , geometry , cohomology
A conjecture relating instanton calculus in four dimensional supersymmetric theories and the deformation theory of Lagrangian submanifolds in C 2 r invariant under a (subgroup of) Sp ( 2 r , Z) is formulated. This is a four dimensional counterpart of the mirror symmetry of topological strings (relating Gromov‐Witten invariants and generalized variations of Hodge structure).