5 research outputs found
Comments on F-maximization and R-symmetry in 3D SCFTs
We report preliminary results on the recently proposed F-maximization
principle in 3D SCFTs. We compute numerically in the large-N limit the free
energy on the three-sphere of an N=2 Chern-Simons-Matter theory with a single
adjoint chiral superfield which is known to exhibit a pattern of accidental
symmetries associated to chiral superfields that hit the unitarity bound and
become free. We observe that the F-maximization principle produces a U(1)
R-symmetry consistent with previously obtained bounds but inconsistent with a
postulated Seiberg-like duality. Potential modifications of the principle
associated to the decoupling fields do not appear to be sufficient to account
for the observed violations.Comment: 17 pages, 3 figures; v2 a reference has been added, a missing factor
of 2 has been corrected in eq (3.3) and the numerical results have been
accordingly updated. The new results do not show any obvious signs of
violation of previously obtained bounds. A potential disagreement with a
postulated Seiberg-like duality is note
Determinant and Weyl anomaly of Dirac operator: a holographic derivation
We present a holographic formula relating functional determinants: the
fermion determinant in the one-loop effective action of bulk spinors in an
asymptotically locally AdS background, and the determinant of the two-point
function of the dual operator at the conformal boundary. The formula originates
from AdS/CFT heuristics that map a quantum contribution in the bulk partition
function to a subleading large-N contribution in the boundary partition
function. We use this holographic picture to address questions in spectral
theory and conformal geometry. As an instance, we compute the type-A Weyl
anomaly and the determinant of the iterated Dirac operator on round spheres,
express the latter in terms of Barnes' multiple gamma function and gain insight
into a conjecture by B\"ar and Schopka.Comment: 11 pages; new comments and references added, typos correcte
Entanglement Entropy from a Holographic Viewpoint
The entanglement entropy has been historically studied by many authors in
order to obtain quantum mechanical interpretations of the gravitational
entropy. The discovery of AdS/CFT correspondence leads to the idea of
holographic entanglement entropy, which is a clear solution to this important
problem in gravity. In this article, we would like to give a quick survey of
recent progresses on the holographic entanglement entropy. We focus on its
gravitational aspects, so that it is comprehensible to those who are familiar
with general relativity and basics of quantum field theory.Comment: Latex, 30 pages, invited review for Classical and Quantum Gravity,
minor correction
Collective Dipole Model of AdS/CFT and Higher Spin Gravity
We formulate a first quantized construction of the AdS_{d+1}/CFT_d
correspondence using the bi-local representation of the free d-dimensional
large N vector model. The earlier reconstruction of AdS_4 higher-spin gravity
provides a scheme where the AdS spacetime (and higher-spin fields) are given by
the composite bi-local fields. The underlying first quantized, world-sheet
picture is extracted in the present work and generalized to any dimension. A
higher-spin AdS particle model is shown to emerge from the collective
bi-particle system of Minkowski particles through a canonical transformation.
As such this construction provides a simple explicit mechanism of the AdS/CFT
correspondence.Comment: 16 pages, no figures; v2: references added; v3: minor change