Math. Phys. seminar at SISSA

[Emanuele Tuillier Illingworth]

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MATHEMATICAL PHYSICS SECTOR SEMINARS
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Speaker: Laure Gouba
 
National Institute for Theoretical Physics (NITheP)
Stellenbosch, South Africa


Title: Strings and Minimal areas from position-dependent noncommutativity

Abstract

A new set of noncommutative space-time commutation relations in two 
space dimensions is introduced. The space-space commutation relations 
are deformations of the standard flat noncommutative space-time 
relations taken here to have position dependent structure constants. We 
compute minimal lenghts and momenta arising in this space from 
generalized versions of Heisenberg's uncertainty relations and find that 
any object in this two dimensional space is string like. We demonstrate 
that the position-dependent noncommutativity will give rise to deformed 
oscillator algebras. In turn starting from some q-deformations of these 
algebras in a two-dimensional space for which the entire deformed Fock 
space can be constructed explicitely, we derive the commutation 
relations for the dynamical variables in noncommutative space-time. We 
compute minimal areas resulting from these relations. The size of the 
region we find is determined by the noncommutative constant and the 
deformation parameter q. Any object in this type of space-time structure 
has to be of membrane type or in certain limits of string type.

Wednesday 27 October at 3.00 pm in lecture room 128 (I floor, Santorio 
Building)