Nie-kommutatiewe sigmamodel

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Authors

Van den Worm, Mauritz

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American Society for Microbiology

Abstract

We replace the classical string theory notions of mapping between parameter space and world-time with noncommutative tori mapping between these spaces. The dynamics of mappings between different noncommutative tori are studied and noncommutative versions of the Polyakov action and the Euler-Lagrange equations are derived. The quantum torus is studied in detail, as well as C*-homomorphisms between different quantum tori. A finite dimensional representation of the quantum torus is studied, and the partition function and other path integrals are calculated. At the end we prove existence theorems for mappings between different noncommutative tori.

Description

This abstract was presented at the ‘Studentesimposium in die Natuurwetenskappe 2011’, presented under the protection of the Suid- Afrikaanse Akademie vir Wetenskap en Kuns. The symposium was held at the University of South Africa on 27–28 October 2011.

Keywords

Nie-kommutatiewe sigmamodel, Noncommutative sigma model

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Citation

Van den Worm, M., 2013, ‘’n Nie-kommutatiewe sigmamodel’, Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie 32(1), Art #423, 1 page. http://dx.DOI.org/ 10.4102/satnt.v32i1.423