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Edward Witten (born August 26, 1951) is an American theoretical physicist known for his contributions to string theory, topological quantum field theory, and various areas of mathematics. He is a professor emeritus in the school of natural sciences at the Institute for Advanced Study in Princeton . [ 4 ]
Edward Witten Constraints on Supersymmetry Breaking, Nucl. Phys. B202 (1982) 253-316 This article about statistical mechanics is a stub . You can help Wikipedia by expanding it .
Edward Witten came up with a related construction in the early 1980s sometimes known as Morse–Witten theory. Morse homology can be extended to finite-dimensional non-compact or infinite-dimensional manifolds where the index remains finite, the metric is complete and the function satisfies the Palais–Smale compactness condition , such as the ...
More precisely, the index of a non-degenerate critical point of is the dimension of the largest subspace of the tangent space to at on which the Hessian of is negative definite. The indices of basins, passes, and peaks are 0 , 1 , {\displaystyle 0,1,} and 2 , {\displaystyle 2,} respectively.
In algebraic geometry, the Witten conjecture is a conjecture about intersection numbers of stable classes on the moduli space of curves, introduced by Edward Witten in the paper Witten , and generalized in Witten (1993). Witten's original conjecture was proved by Maxim Kontsevich in the paper Kontsevich (1992).
Edward Witten has popularised the concept of a theory in 11 dimensions, called M-theory, involving membranes interpolating from the known symmetries of superstring theory. It may turn out that there exist membrane models or other non-membrane models in higher dimensions—which may become acceptable when we find new unknown symmetries of nature ...
Mirror symmetry then relates them to A model amplitudes, allowing one to compute Gromov–Witten invariants. The string field theory of the closed strings of the B-model is known as the Kodaira–Spencer theory of gravity and was developed by Michael Bershadsky , Sergio Cecotti , Hirosi Ooguri and Cumrun Vafa in Kodaira–Spencer Theory of ...
In the late 1980s, Witten coined the term topological quantum field theory for a certain type of physical theory in which the expectation values of observable quantities are invariant under diffeomorphisms. Witten [8] gave a heuristic derivation of the Jones polynomial and its generalizations from Chern–Simons theory.