Tuesday, May 26, 2015

﻿

 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

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 Â 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

Tipo:  application/pdf -

Tipo de recurso: Article  -  PeerReviewed  -

Audiencia: Estudiante  -  Profesor  -  Autor  -

Estructura: Atomic

Coste: no

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: 07-mar-2013

Contacto:

Localización:
* 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. Counting RG flows Interpreting renormalization group flows as solitons interpolating between different fixed points, w...
2. Equivariant Verlinde formula from fivebranes and vortices We study complex Chern-Simons theory on a Seifert manifold M_3 by embedding it into string theory. W...
3. Surface Operators This is the seventh article in the collection of reviews "Exact results on N=2 supersymmetric gauge ...
4. KnotProt: a database of proteins with knots and slipknots The protein topology database KnotProt, http://knotprot.cent.uw.edu.pl/, collects information about ...
5. 3-Manifolds and 3d indices We identify a large class $\mathcal{R}$ of three-dimensional $\mathcal{N} = 2$ superconformal field ...

### Otros recursos de la misma colección

1. Impacts of ocean albedo alteration on Arctic sea ice restoration and Northern Hemisphere climate The Arctic Ocean is expected to transition into a seasonally ice-free state by mid-century, enhancin...
2. An In Vitro Enzymatic Assay to Measure Transcription Inhibition by Gallium(III) and H_3 5,10,15-tris(pentafluorophenyl)corroles Chemotherapy often involves broad-spectrum cytotoxic agents with many side effects and limited targe...
3. Apodized phase mask coronagraphs for arbitrary apertures II. Comprehensive review of solutions for the vortex coronagraph Context. With a clear circular aperture, the vortex coronagraph perfectly cancels an on-axis point s...
4. On Advanced Estimation Techniques for Exoplanet Detection and Characterization Using Ground-based Coronagraphs The direct imaging of planets around nearby stars is exceedingly difficult. Only about 14 exoplanets...
5. Review of small-angle coronagraphic techniques in the wake of ground-based second-generation adaptive optics systems Small-angle coronagraphy is technically and scientifically appealing because it enables the use of s...

### Valoración de los usuarios

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

Busque un recurso