Branes and quantization
نویسندگان
چکیده
منابع مشابه
Branes and quantization
The problem of quantizing a symplectic manifold (M,ω) can be formulated in terms of the A-model of a complexification of M . This leads to an interesting new perspective on quantization. From this point of view, the Hilbert space obtained by quantization of (M,ω) is the space of (Bcc,B) strings, where Bcc and B′ are two A-branes; B′ is an ordinary Lagrangian A-brane, and Bcc is a space-filling ...
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Killing spinors of space-time BPS configurations play an important role in quantization of theories with the fermionic worldvolume local symmetry. We show here how it works for the GS superstring, BST supermembrane and M-5-brane. We show that the non-linear generalization of the (2,0) d=6 tensor supermultiplet action is the M-5-brane action in a Killing gauge. For D-p-branes the novel feature o...
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In this note we explain how world-volume geometries of D-branes can be reconstructed within the microscopic framework where D-branes are described through boundary conformal field theory. We extract the (non-commutative) world-volume algebras from the operator product expansions of open string vertex operators. For branes in a flat background with constant non-vanishing B-field, the operator pr...
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We prove a version of Kontsevich’s formality theorem for two subspaces (branes) of a vector space X. The result implies in particular that the Kontsevich deformation quantizations of S(X∗) and ∧(X) associated with a quadratic Poisson structure are Koszul dual. This answers an open question in Shoikhet’s recent paper on Koszul duality in deformation quantization.
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ژورنال
عنوان ژورنال: Advances in Theoretical and Mathematical Physics
سال: 2009
ISSN: 1095-0761,1095-0753
DOI: 10.4310/atmp.2009.v13.n5.a5