174 research outputs found
From Gauss Graphs to Giants
We identify the operators in super Yang-Mills theory that
correspond to -BPS giant gravitons in AdSS. Our
evidence for the identification comes from (1) counting these operators and
showing agreement with independent counts of the number of giant graviton
states, and (2) by demonstrating a correspondence between correlation functions
of the super Yang-Mills operators and overlaps of the giant graviton wave
functions.Comment: 16 pages; v2: matches published versio
CFT4 as SO(4,2)-invariant TFT2
We show that correlators of local operators in four dimensional free scalar
field theory can be expressed in terms of amplitudes in a two dimensional
topological field theory (TFT2). We describe the state space of the TFT2, which
has as a global symmetry, and includes both positive and negative
energy representations. Invariant amplitudes in the TFT2 correspond to surfaces
interpolating from multiple circles to the vacuum. They are constructed from
SO(4,2) invariant linear maps from the tensor product of the state spaces to
complex numbers. When appropriate states labeled by 4D-spacetime coordinates
are inserted at the circles, the TFT2 amplitudes become correlators of the
four-dimensional CFT4. The TFT2 structure includes an associative algebra,
related to crossing in the 4D-CFT, with a non-degenerate pairing related to the
CFT inner product in the CFT4. In the free-field case, the TFT2/CFT4
correspondence can largely be understood as realization of free quantum field
theory as a categorified form of classical invariant theory for appropriate
SO(4,2) representations. We discuss the prospects of going beyond free fields
in this framework.Comment: 54 pages, 7 figures; version 2: Published version - extended
discussion of CFT4/TFT2 in terms of emergent space-time; refs added; typos
correcte
Gravitational dynamics from collective field theory
We consider the relevance of a collective field theory description for the
AdS/CFT correspondence. Collective field theory performs a systematic
reorganization of the degrees of freedom of a (non-gravitational) field theory,
replacing the original loop expansion parameter with . Collective
fields are over complete signalling a redundancy inherent in the theory. We
propose that this over completeness is the mechanism by which one arrives at a
holographic description, to be identified with the gravity dual. We find
evidence for this by studying the redundancy of the collective field theory,
showing that degrees of freedom in the bulk can be expressed as a linear
combination of degrees of freedom contained in an arbitrarily small
neighbourhood of the boundary.Comment: 24+1 page
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