IJPAM: Volume 82, No. 1 (2013)

TOPOLOGICAL DISCRETIZATION OF BOSONIC STRINGS

Gustavo Arciniega$^1$, Francisco Nettel$^2$,
Leonardo Patiño$^3$, Hernando Quevedo$^4$
$^{1,2,3}$Departamento de Fısica
Facultad de Ciencias
Universidad Nacional Autónoma de México
A.P. 50-542, Mexico D.F. 04510, MEXICO
$^4$Instituto de Ciencias Nucleares
Universidad Nacional Autónoma de México
A.P. 50-542, Mexico D.F. 04510, MEXICO


Abstract. We apply the method of topological quantization to obtain the bosonic string topological spectrum propagating on a flat background. We define the classical configuration of the system, and construct the corresponding principal fiber bundle (pfb) that uniquely represents it. The topological spectrum is defined through the characteristic class of the pfb. We find explicit expressions for the topological spectrum for particular configurations of the bosonic strings on a Minkowski background and show that they lead to a discretization of the total energy of the system.

Received: September 19, 2012

AMS Subject Classification: 81T30, 55R10

Key Words and Phrases: topological quantization, bosonic string

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 82
Issue: 1