New percolation crossing formulas and second-order modular forms - Mathematical PhysicsReportar como inadecuado




New percolation crossing formulas and second-order modular forms - Mathematical Physics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We consider the three new crossing probabilities for percolation recentlyfound via conformal field theory by Simmons, Kleban and Ziff.
We prove that allthree of them i may be simply expressed in terms of Cardy-s and Watts-crossing probabilities, ii are weakly holomorphic second-order modularforms of weight 0 and a single particular type on the congruence group$\Gamma2$, and iii under some technical assumptions similar to those usedby Kleban and Zagier, are completely determined by their transformation laws.The only physical input in iii is Cardy-s crossing formula, which suggestsan unknown connection between all crossing-type formulas.



Autor: Nikolaos Diamantis, Peter Kleban

Fuente: https://arxiv.org/



DESCARGAR PDF




Documentos relacionados