منابع مشابه
Solutions in self-dual gravity constructed via chiral equations.
The chiral model for self-dual gravity given by Husain in the context of the chiral equations approach is discussed. A Lie algebra corresponding to a finite dimensional subgroup of the group of symplectic diffeomorphisms is found, and then use for expanding the Lie algebra valued connections associated with the chiral model. The self-dual metric can be explicitly given in terms of harmonic maps...
متن کاملA Gravity Dual of the Chiral Anomaly
We study effects associated with the chiral anomaly for a cascading SU(N+ M)×SU(N) gauge theory using gauge/gravity duality. In the gravity dual the anomaly is a classical feature of the supergravity solution, and the breaking of the U(1) R-symmetry down to Z2M proceeds via the Higgs mechanism.
متن کاملOn self-dual gravity.
We study the Ashtekar-Jacobson-Smolin equations that characterise four dimensional complex metrics with self-dual Riemann tensor. We find that we can characterise any self-dual metric by a function that satisfies a non-linear evolution equation, to which the general solution can be found iteratively. This formal solution depends on two arbitrary functions of three coordinates. We construct expl...
متن کاملConstructing self-dual chiral polytopes
An abstract polytope is chiral if its automorphism group has two orbits on the flags, such that adjacent flags belong to distinct orbits. There are still few examples of chiral polytopes, and few constructions that can create chiral polytopes with specified properties. In this paper, we show how to build self-dual chiral polytopes using the mixing construction for polytopes.
متن کاملThe Affine symmetry of self-dual gravity
Self-dual gravity may be reformulated as the two dimensional principal chiral model with the group of area preserving diffeomorphisms as its gauge group. Using this formulation, it is shown that self-dual gravity contains an infinite dimensional hidden symmetry whose generators form the Affine (Kac-Moody) algebra associated with the Lie algebra of area preserving diffeomorphisms. This result pr...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1994
ISSN: 0031-9007
DOI: 10.1103/physrevlett.72.800