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- W2074098508 abstract "It is well-known that topological sigma-models in 2 dimensions constitute a path-integral approach to the study of holomorphic maps from a Riemann surface S to an almost complex manifold K, the most interesting case being that where K is a Kahler manifold. We show that, in the same way, topological sigma-models in 4 dimensions introduce a path integral approach to the study of triholomorphic maps q:M-->N from a 4dimensional Riemannian manifold M to an almost quaternionic manifold N. The most interesting cases are those where M, N are hyperKahler or quaternionic Kahler. BRST-cohomology translates into intersection theory in the moduli-space of this new class of instantonic maps, named by us hyperinstantons. The definition of triholomorphicity that we propose is expressed by the equation q_*-J_u q_* j_u = 0, u=1,2,3, where {j_u} is an almost quaternionic structure on M and {J_u} is an almost quaternionic structure on N. This is a generalization of the Cauchy-Fueter equations. For M, N hyperKahler, this generalization naturally arises by obtaining the topological sigma-model as a twisted version of the N=2 globally supersymmetric sigma-model. We discuss various examples of hyperinstantons, in particular on the torus and the K3 surface. We also analyse the coupling of the topological sigma-model to topological gravity. The study of" @default.
- W2074098508 created "2016-06-24" @default.
- W2074098508 creator A5017701661 @default.
- W2074098508 creator A5063768007 @default.
- W2074098508 date "1994-03-01" @default.
- W2074098508 modified "2023-10-18" @default.
- W2074098508 title "Topological σ-models in four dimensions and triholomorphic maps" @default.
- W2074098508 cites W1496114780 @default.
- W2074098508 cites W1509221714 @default.
- W2074098508 cites W1512537105 @default.
- W2074098508 cites W1965435326 @default.
- W2074098508 cites W1967667319 @default.
- W2074098508 cites W1968178203 @default.
- W2074098508 cites W1969977564 @default.
- W2074098508 cites W1970312065 @default.
- W2074098508 cites W1972363926 @default.
- W2074098508 cites W1977702181 @default.
- W2074098508 cites W1979522936 @default.
- W2074098508 cites W1984497992 @default.
- W2074098508 cites W1984959517 @default.
- W2074098508 cites W1987595829 @default.
- W2074098508 cites W1995849727 @default.
- W2074098508 cites W2004045522 @default.
- W2074098508 cites W2006312843 @default.
- W2074098508 cites W2006516816 @default.
- W2074098508 cites W2010428320 @default.
- W2074098508 cites W2011942040 @default.
- W2074098508 cites W2012046627 @default.
- W2074098508 cites W2012074753 @default.
- W2074098508 cites W2016150663 @default.
- W2074098508 cites W2019042339 @default.
- W2074098508 cites W2030557795 @default.
- W2074098508 cites W2036240661 @default.
- W2074098508 cites W2039020926 @default.
- W2074098508 cites W2040216215 @default.
- W2074098508 cites W2041290824 @default.
- W2074098508 cites W2041535191 @default.
- W2074098508 cites W2043616718 @default.
- W2074098508 cites W2046140475 @default.
- W2074098508 cites W2046214936 @default.
- W2074098508 cites W2048714272 @default.
- W2074098508 cites W2049018138 @default.
- W2074098508 cites W2051116379 @default.
- W2074098508 cites W2051681091 @default.
- W2074098508 cites W2053170335 @default.
- W2074098508 cites W2053658077 @default.
- W2074098508 cites W2057558486 @default.
- W2074098508 cites W2060258464 @default.
- W2074098508 cites W2061000644 @default.
- W2074098508 cites W2062836640 @default.
- W2074098508 cites W2066355667 @default.
- W2074098508 cites W2067137151 @default.
- W2074098508 cites W2067162679 @default.
- W2074098508 cites W2070496719 @default.
- W2074098508 cites W2071169644 @default.
- W2074098508 cites W2071177528 @default.
- W2074098508 cites W2074803501 @default.
- W2074098508 cites W2075114146 @default.
- W2074098508 cites W2076547474 @default.
- W2074098508 cites W2080492522 @default.
- W2074098508 cites W2080606172 @default.
- W2074098508 cites W2080881819 @default.
- W2074098508 cites W2082213412 @default.
- W2074098508 cites W2089666928 @default.
- W2074098508 cites W2089981103 @default.
- W2074098508 cites W2091960200 @default.
- W2074098508 cites W2094017794 @default.
- W2074098508 cites W2095071349 @default.
- W2074098508 cites W2095242592 @default.
- W2074098508 cites W2119765606 @default.
- W2074098508 cites W2119825721 @default.
- W2074098508 cites W2127618548 @default.
- W2074098508 cites W2127871800 @default.
- W2074098508 cites W2128378060 @default.
- W2074098508 cites W2132028211 @default.
- W2074098508 cites W2140737781 @default.
- W2074098508 cites W2142844082 @default.
- W2074098508 cites W2158823467 @default.
- W2074098508 cites W2162723802 @default.
- W2074098508 cites W2164252329 @default.
- W2074098508 cites W2167274574 @default.
- W2074098508 cites W3021728835 @default.
- W2074098508 cites W3099161605 @default.
- W2074098508 cites W3101807796 @default.
- W2074098508 cites W4230069578 @default.
- W2074098508 cites W4230647258 @default.
- W2074098508 cites W4236159865 @default.
- W2074098508 cites W4243372458 @default.
- W2074098508 doi "https://doi.org/10.1016/0550-3213(94)90585-1" @default.
- W2074098508 hasPublicationYear "1994" @default.
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