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

Opción 1: Descargar recurso

Detalles del recurso


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.

Pertenece a

Caltech Authors  


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] http://resolver.caltech.edu/CaltechAUTHORS:20120511-113608838
[References] http://authors.library.caltech.edu/31436/

Fecha de contribución: 04-may-2016


* 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. http://resolver.caltech.edu/CaltechAUTHORS:20120511-113608838

Otros recursos del mismo autor(es)

  1. Vertex algebras and 4-manifold invariants We propose a way of computing 4-manifold invariants, old and new, as chiral correlation functions in...
  2. BPS spectra and 3-manifold invariants We provide a physical definition of new homological invariants H_a(M_3) of 3-manifolds (possibly, wi...
  3. Complex lasso: new entangled motifs in proteins We identify new entangled motifs in proteins that we call complex lassos. Lassos arise in proteins w...
  4. RG Flows and Bifurcations Interpreting RG flows as dynamical systems in the space of couplings we produce a variety of constra...
  5. BPS counting for knots and combinatorics on words We discuss relations between quantum BPS invariants defined in terms of a product decomposition of c...

Otros recursos de la mismacolección

  1. Equivalence of Sobolev inequalities and Lieb-Thirring inequalities We show that, under very general definitions of a kinetic energy operator T, the Lieb–Thirring inequ...
  2. Measuring Flux Distributions for Diffusion in the Small-Numbers Limit For the classical diffusion of independent particles, Fick's law gives a well-known relationship bet...
  3. Mechanistic Investigation of β-Galactosidase-Activated MR Contrast Agents We report a mechanistic investigation of an isomeric series of β-galactosidase-activated magnetic re...
  4. Elastic-plastic bending of the lithosphere incorporating rock deformation data, with application to the structure of the Hawaiian archipelago An elastic-plastic lithosphere bending model incorporating rock deformation data has been developed ...
  5. Outstanding hydrogen evolution reaction catalyzed by porous nickel diselenide electrocatalysts To relieve our strong reliance on fossil fuels and to reduce greenhouse effects, there is an ever-gr...

Aviso de cookies: Usamos cookies propias y de terceros para mejorar nuestros servicios, para análisis estadístico y para mostrarle publicidad. Si continua navegando consideramos que acepta su uso en los términos establecidos en la Política de cookies.