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Supersymmetry is a theoretical framework in physics that suggests the existence of a symmetry between particles with integer spin and particles with half-integer spin ().It proposes that for every known particle, there exists a partner particle with different spin properties. [1]
In the original approach, [1] [2] by Seiberg and Witten, holomorphy and electric-magnetic duality constraints are strong enough to almost uniquely constrain the prepotential (a holomorphic function which defines the theory), and therefore the metric of the moduli space of vacua, for theories with SU(2) gauge group.
An Introduction to Morse Theory. Maxwell, James Clerk (1870). "On Hills and Dales" (PDF). The Philosophical Magazine. 40 (269): 421– 427. Milnor, John (1963). Morse Theory. Princeton University Press. ISBN 0-691-08008-9. A classic advanced reference in mathematics and mathematical physics. Milnor, John (1965). Lectures on the h-cobordism ...
Edward Witten is the son of Lorraine (born Wollach) Witten [12] and Louis Witten, a theoretical physicist specializing in gravitation and general relativity. [13] Witten attended the Park School of Baltimore (class of 1968), and received his Bachelor of Arts degree with a major in history and minor in linguistics from Brandeis University in ...
It is an example of a quasi-topological quantity, which is a quantity that depends only on F-terms and not on D-terms in the Lagrangian. A more refined invariant in 2-dimensional theories, constructed using only the right-moving part of the fermion number operator together with a 2-parameter family of variations, is the elliptic genus .
Given a Lie subgroup , the / gauged WZW model (or coset model) is a nonlinear sigma model whose target space is the quotient / for the adjoint action of on . This gauged WZW model is a conformal field theory, whose symmetry algebra is a quotient of the two affine Lie algebras of the G {\displaystyle G} and H {\displaystyle H} WZW models, and ...
In supersymmetry, 4D = global supersymmetry is the theory of global supersymmetry in four dimensions with a single supercharge.It consists of an arbitrary number of chiral and vector supermultiplets whose possible interactions are strongly constrained by supersymmetry, with the theory primarily fixed by three functions: the Kähler potential, the superpotential, and the gauge kinetic matrix.
When supersymmetry is imposed as a local symmetry, one automatically obtains a quantum mechanical theory that includes gravity. Such a theory is called a supergravity theory. [12] A theory of strings that incorporates the idea of supersymmetry is called a superstring theory. There are several different versions of superstring theory which are ...