Constructing A String Theory Background Using Brane-Simplex Duality
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Date
2019Author
Kinyanjui, Carringtone
Type
ThesisLanguage
enMetadata
Show full item recordAbstract
String theory is a candidate theory for a unified description of physics. Unification of
the micro and macrocosm and also of the four fundamental forces. String theory is
however plagued by conceptual potholes, chief of which is the presence of extra dimensions,
large or compactified. It also lacks a consistent description of spacetime. This is
the problem of quantum gravity. Causal dynamical triangulation is a framework which
seeks to quantise gravity by quantising spacetime. This can be done because it accepts
the geometrodynamic definition of gravitation from general relativity. The quantum of
spacetime is called a simplex. Spacetime is then constructed by “gluing” these simplices
together. Causal dynamical triangulation is background independent. We investigate the
possibility of generating spacetime using the modes of vibrations of strings in string theory.
This is done by adding a version of the Regge action, generated in causal dynamical
triangulation, to the Polyakov action of bosonic string theory. After this, the equations
of motion are derived from application of the Euler-Lagrange equations on the Polyakov
action. The resulting differential equations are solved to generate mode expansions. From
these mode expansions, we get the Virasoro operators which can be used to generate the
generators of the Lorentz algebra of the theory. The Lorentz algebra of the theory then
defines the dimensionality of the model. A similar process is performed for superstring
theory. We thust formulate a “chimeric” string model using the Ramond-Neveu-Schwarz
formalism in superstring theory. The model exhibits spacetime simplices as a type of
mode expansion of the string. It is thus be background independent. There is no effect
on the dimensionality on string theory by the new model.
Publisher
University of Nairobi
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Attribution-NonCommercial-NoDerivs 3.0 United StatesUsage Rights
http://creativecommons.org/licenses/by-nc-nd/3.0/us/Collections
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