Document Type


Date of Degree

Summer 2014

Degree Name

PhD (Doctor of Philosophy)

Degree In


First Advisor

Vincent G. Rodgers


The holographic principle has become an extraordinary tool in theoretical physics, most notably in the form of the Anti-deSitter Conformal Field Theory (AdS/CFT) correspondence, in which classical gravitational degrees of freedom in N-dimensions are related quantum field theory degrees of freedom in N − 1 dimensions in the limit of a large number of fields. Here we present an account of the AdS/CFT correspondence, also known as the gauge/gravity duality, from its origins in the large N 'tHooft expansion, up to Maldacena's proposal that type IIB string theory in the presences of D-branes at low energy is dual to an N = 4, d = 4, U(N) super Yang-Mills on AdS5 × S5 . We begin with an extensive review of (super)string theory including D-branes. We then present the general formulation of the AdS/CFT in the supergravity background of AdS5 × S5 , along with several examples of how it is used in terms of the identification of bulk fields with operators on the bound- ary of a CFT. We move on to discuss two applications of the gauge/gravity duality. The first is the application of the holographic gauge/gravity correspondence to the QCDk-string. The second applies the AdS/CFT formalism to a Kerr black hole solution embedded in 10-dimensional heterotic sting theory. These two applications of the holographic gauge/gravity duality comprise the original work presented here. We follow with summaries and discussions of the background material, the original work, and future investigations.


AdS/CFT, Gauge/Gravity Duality, Holography, Kerr/CFT, k-string, String Theory


xii, 255 pages


Includes bibliographical references (pages 244-255).


Copyright 2014 Bradly Kevin Button

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