Results 11 to 20 of about 10,350 (137)

Geometry Quantization from Supergravity: the case of "Bubbling AdS" [PDF]

, 2005
We consider the moduli space of 1/2 BPS configurations of type IIB SUGRA found by Lin, Lunin and Maldacena ([1]), and quantize it directly from the supergravity action, around any point in the moduli space.
Liat Maoz, V. Rychkov
semanticscholar   +4 more sources

Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras [PDF]

, 2008
$C^*$-algebraic Weyl quantization is extended by allowing also degenerate pre-symplectic forms for the Weyl relations with infinitely many degrees of freedom, and by starting out from enlarged classical Poisson algebras.
Honegger, Reinhard, Rieckers, Alfred, Schlafer, Lothar   +2 more
core   +6 more sources

Branes and Quantization for an A-Model Complexification of Einstein Gravity in Almost Kahler Variables [PDF]

, 2008
The general relativity theory is redefined equivalently in almost Kahler variables: symplectic form and canonical symplectic connection (distorted from the Levi-Civita connection by a tensor constructed only from metric coefficients and their derivatives)
Vacaru, Sergiu I.
core   +3 more sources

On the Deformation Quantization Description of Matrix Compactifications [PDF]

, 1998
Matrix theory compactifications on tori have associated Yang-Mills theories on the dual tori with sixteen supercharges. A noncommutative description of these Yang-Mills theories based in deformation quantization theory is provided.
Baadhio, Banks, Bars, Bars, Bayen, Bayen, Castro, Claudson, Connes, Connes, de Wilde, Deligne, Douglas, Fairlie, Fairlie, Fedosov, Floratos, Flume, Ganor, García-Compéan, García-Compéan, García-Compéan, Gozzi, Habermann, Hoppe, Hoppe, Hugo García-Compeán, Ishibashi, Omory, Plebański, Raake, Reuter, Reuter, Seiberg, Taylor, Weinstein, Weinstein   +36 more
core   +3 more sources

Balanced metrics and noncommutative Kaehler geometry [PDF]

, 2010
In this paper we show how Einstein metrics are naturally described using the quantization of the algebra of functions on a Kahler manifold M. In this setup one interprets M as the phase space itself, equipped with the Poisson brackets inherited from the ...
Lukic, Sergio
core   +5 more sources

Toeplitz Operators, K\"ahler Manifolds, and Line Bundles [PDF]

, 2007
This is a survey paper. We discuss Toeplitz operators in K\"ahler geometry, with applications to geometric quantization, and review some recent developments.Comment: This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in ...
Foth, Tatyana
core   +3 more sources

Noncommutativity and Duality through the Symplectic Embedding Formalism [PDF]

, 2010
This work is devoted to review the gauge embedding of either commutative and noncommutative (NC) theories using the symplectic formalism framework.
Abreu, Everton M. C., Mendes, Albert C. R., Oliveira, Wilson   +2 more
core   +3 more sources

Wick type deformation quantization of Fedosov manifolds [PDF]

, 2001
A coordinate-free definition for Wick-type symbols is given for symplectic manifolds by means of the Fedosov procedure. The main ingredient of this approach is a bilinear symmetric form defined on the complexified tangent bundle of the symplectic ...
A.A. Sharapov, Asakawa, Bayen, Bayen, Berezin, Berezin, Berezin, Bertelson, Bonneau, Bordemann, Bordemann, Bordemann, Buchbinder, Cahen, Cahen, Chern, Connes, Connes, Connes, Deligne, DeWilde, DeWilde, Fedosov, Fedosov, Garcia-Compean, Gelfand, Gozzi, Gozzi, Grigoriev, Kamenshchik, Karabegov, Karabegov, Karabegov, Karataeva, Kodaira, Kontsevich, Molchanov, Moreno, Nest, Newlander, Newlander, Pflaum, Reshetikhin, Reuter, Rothstein, S.L. Lyakhovich, Seiberg, Sternheimer, V.A. Dolgushev, Woodhouse, Xu   +50 more
core   +2 more sources

Equations of motion, Noncommutativity and Quantization [PDF]

, 2006
We study the relation between a given set of equations of motion in configuration space and a Poisson bracket. A Poisson structure is consistent with the equations of motion if the symplectic form satisfy some consistency conditions.
Acatrinei, Anderson, Anderson, Boulahoual, Carmona, Cattaneo, Cattaneo, Connes, Cortes, Cortese, Das, DeWitt, Douglas, Falomir, Gamboa, García, Gopakumar, Harvey, Henneaux, Hojman, Hojman, Hojman, Ignacio Cortese, J. Antonio García, Kontsevich, Magueijo, Messiah, Nair, Novikov, Peierls, Schomerus, Seiberg, Seiberg   +32 more
core   +2 more sources

The Algebraic Index Theorem and Fedosov Quantization of Lagrange-Finsler and Einstein Spaces

, 2013
Various types of Lagrange and Finsler geometries and the Einstein gravity theory, and modifications, can be modelled by nonholonomic distributions on tangent bundles/ manifolds when the fundamental geometric objects are adapted to nonlinear connection ...
Vacaru, Sergiu I.
core   +1 more source