Sunday, October 26, 2014



Soy un nuevo usuario

Olvidé mi contraseña

Entrada usuarios

Lógica Matemáticas Astronomía y Astrofísica Física Química Ciencias de la Vida
Ciencias de la Tierra y Espacio Ciencias Agrarias Ciencias Médicas Ciencias Tecnológicas Antropología Demografía
Ciencias Económicas Geografía Historia Ciencias Jurídicas y Derecho Lingüística Pedagogía
Ciencia Política Psicología Artes y Letras Sociología Ética Filosofía

A-polynomial, B-model, and quantization

1) La descarga del recurso depende de la página de origen
2) Para poder descargar el recurso, es necesario ser usuario
    registrado en Universia

  Descargar recurso

Detalles del recurso

Pertenece a: Caltech Authors  

Descripción: Exact solution to many problems in mathematical physics and quantum field theory often can be expressed in terms of an algebraic curve equipped with a meromorphic differential. Typically, the geometry of the curve can be seen most clearly in a suitable semi-classical limit, as ħ → 0, and becomes non-commutative or “quantum” away from this limit. For a classical curve defined by the zero locus of a polynomial A(x, y), we provide a construction of its non-commutative counterpart Â(^x, ^y) using the technique of the topological recursion. This leads to a powerful and systematic algorithm for computing  that, surprisingly, turns out to be much simpler than any of the existent methods. In particular, as a bonus feature of our approach comes a curious observation that, for all curves that come from knots or topological strings, their non-commutative counterparts can be determined just from the first few steps of the topological recursion. We also propose a Ktheory criterion for a curve to be “quantizable,” and then apply our construction to many examples that come from applications to knots, strings, instantons, and random matrices.

Autor(es): Gukov, Sergei -  Sułkowski, Piotr - 

Id.: 55304948

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Tipo de recurso: Article  -  PeerReviewed  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References]

Fecha de contribución: 07-mar-2013


* Gukov, Sergei and Sułkowski, Piotr (2012) A-polynomial, B-model, and quantization. Journal of High Energy Physics, 2012 (2). Art. No. 070. ISSN 1126-6708

Otros recursos del mismo autor(es)

  1. 3-Manifolds and 3d indices We identify a large class $\mathcal{R}$ of three-dimensional $\mathcal{N} = 2$ superconformal field ...
  2. Volume conjecture: refined and categorified The generalized volume conjecture relates asymptotic behavior of the colored Jones polynomials to ob...
  3. Topological recursion and mirror curves We study the constant contributions to the free energies obtained through the topological recursion ...
  4. 3-Manifolds and 3d indices We identify a large class R of three-dimensional N = 2 superconformal field theories. This class inc...
  5. (0, 2) trialities Motivated by the connection between 4-manifolds and 2d N = (0, 2) theories, we study the dynamics of...

Otros recursos de la misma colección

  1. On the Propagation of Maximally Dissipative Phase Boundaries in Solids This paper is concerned with the kinetics of propagating phase boundaries in a bar made of a special...
  2. On an integrodifferential equation arising in a theory of phase transitions in solids This note is concerned with some properties of an integrodifferential equation a rising in a continu...
  3. Shock induced formation of MgAl_2O_4 spinel from oxides The physics of mineral grain sliding, which occurs upon dynamic compression of rocks, is investigate...
  4. Thermal expansion of mantle and core materials at very high pressures The thermal expansivities (α) of MgO and high-pressure phases of CaO, CaMgSi_2O_6, and Fe at ultrahi...
  5. Impact Jetting of Geological Materials To understand jetting of earth materials, gabbro slabs (5 mm thick) were accelerated to 1.5-2 km sec...

Valoración de los usuarios

No hay ninguna valoración para este recurso.Sea el primero en valorar este recurso.

Busque un recurso