Constraints on a 2D CFT Dual to Weakly Curved AdS Gravity

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Abstract/Contents

Abstract: An extremal CFT is a CFT whose spectrum matches that of pure gravity through the AdS/CFT correspondence. We examine the constraints imposed on the elliptic genus of an N = 2 extremal CFT for half odd integer values of 'm'. The integer case of 'm' has been previously studied. 'm' is a measure of the degrees of freedom of the theory, and it is half integrally quantized. We found that our CFT model with minimum content (i.e. only the vacuum module) did not satisfy the appropriate form requirements for an extremal polar polynomial. Thus, we conclude that we must add a minimal number of particle states to the bulk such that a ‘near extremal’ dual CFT exists.

Type of resource	text
Date created	May 18, 2016

Author	Pallegar, Preethi
Primary advisor	Kachru, Shamit
Advisor	Hartnoll, Sean
Degree granting institution	Stanford University, Department of Physics

Location	https://purl.stanford.edu/gz561hk4238

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Preferred Citation: Pallegar, Preethi. (2016). Constraints on a 2D CFT Dual to Weakly Curved AdS Gravity. Stanford Digital Repository. Available at: http://purl.stanford.edu/gz561hk4238

Undergraduate Theses, Department of Physics

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