11 research outputs found
The Higher Spin Rectangle
The chiral algebra of the symmetric product orbifold of a single-boson CFT
corresponds to a "higher spin square" algebra in the large limit. In this
note, we show that a symmetrized collection of bosons defines a similar
structure that we refer to as the higher spin rectangle algebra. We explore the
relation of this algebra to the higher spin square algebra. The existence of
such a truncated algebra hints at bulk theories interpolating between Vasiliev
higher spin theory and string theory.Comment: 21 pages, 2 figures, Added clarifications, Version to appear in JHE
On entanglement entropy functionals in higher derivative gravity theories
In arXiv:1310.5713 and arXiv:1310.6659 a formula was proposed as the
entanglement entropy functional for a general higher-derivative theory of
gravity, whose lagrangian consists of terms containing contractions of the
Riemann tensor. In this paper, we carry out some tests of this proposal. First,
we find the surface equation of motion for general four-derivative gravity
theory by minimizing the holographic entanglement entropy functional resulting
from this proposed formula. Then we calculate the surface equation for the same
theory using the generalized gravitational entropy method of arXiv:1304.4926.
We find that the two do not match in their entirety. We also construct the
holographic entropy functional for quasi-topological gravity, which is a
six-derivative gravity theory. We find that this functional gives the correct
universal terms. However, as in the four-derivative case, the generalized
gravitational entropy method applied to this theory does not give exactly the
surface equation of motion coming from minimizing the entropy functional.Comment: 34 pages; v3: Details added, typos fixed, references updated; version
to appear in JHE
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The structure of string theory at finite temperature
This thesis deals with string theory at finite temperature. String theory has attracted considerable attention in recent years because of its ability to unify the fundamental forces and particles in nature and provide a quantized description of gravity. However, many aspects of this theory remain mysterious, including its behavior at high temperature. One guiding principle for finite temperature string theory is the observation that a quantum theory at finite temperature can be recast as a zero-temperature theory in which a Euclidean time dimension is compactified on a circle. This temperature/radius correspondence holds in quantum mechanics as well as quantum field theory, and is normally assumed to hold in string theory as well. However it was shown recently that this correspondence fails for a class of string theories, called heterotic strings. This motivates a search for an alternate way to restore this correspondence, as well as a reevaluation of the thermodynamic behaviour of other classes of string theories, namely Type~II and Type~I. We find that contrary to the established wisdom, all ten dimensional string theories have a similar behaviour at finite temperature. This also leads us to the conclusion that the Heterotic and Type~I theory behave in a dual way at finite temperature