Emergent Yang-Mills theory
Date
2017
Authors
De Carvalho, Shaun
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Abstract
In this dissertation we tackle the question: is there an emergent Yang-Mills theory coming from the
low energy description of branes and open strings? This new Yang-Mills theory has no connection
to the original gauge symmetry of the CFT. We thus explore a large N but non-planar limit of
the theory. This is done with new methods developed in group representation theory. A study
the dilatation operator D in N = 4 SYM theory is done since its eigenvalue, the anomalous
dimension, is mapped to the energy of the open string in the IIB string theory. The construction
of the spherical harmonics from the harmonic expansion on the 3-sphere, S3, is done to understand
the theory of the giant graviton's worldvolume. The light-front parton picture is examined, since
it explains how one can \glue" single momentum modes together to obtain higher momentum
modes, and we believe that this procedure is described dynamically using magnon bound states.
Following from this, we work on determining the exact magnon bound state spectrum. Finally, we
test our hypothesis and see if the spectrum of the bound states matches the harmonic spectrum
from the harmonic expansion on the 3-sphere, S3. A non-trivial check is also performed to show
that the bound state spectrum does indeed match the spectrum coming from N = 4 SYM.
Description
Dissertation submitted to the Faculty of Science, University of the Witwatersrand,
Johannesburg, in ful lment of the requirements for the degree of Master of Science.
Johannesburg, 2017.
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Citation
De Carvalho, Shaun (2017) Emergent Yang-Mills theory, University of the Witwatersrand, Johannesburg, <http://hdl.handle.net/10539/25110>