13 research outputs found
Holographic neutron stars
We construct in the context of the AdS/CFT correspondence degenerate
composite operators in the conformal field theory that are holographically dual
to degenerate stars in anti de Sitter space. We calculate the effect of the
gravitational back-reaction using the Tolman-Oppenheimer-Volkoff equations, and
determine the "Chandrasekhar limit" beyond which the star undergoes
gravitational collapse towards a black hole.Comment: 4 pages, 3 figures, pdflatex. Typos and cross reference corrected,
discussion clarifie
Non-relativistic metrics from back-reacting fermions
It has recently been pointed out that under certain circumstances the
back-reaction of charged, massive Dirac fermions causes important modifications
to AdS_2 spacetimes arising as the near horizon geometry of extremal black
holes. In a WKB approximation, the modified geometry becomes a non-relativistic
Lifshitz spacetime. In three dimensions, it is known that integrating out
charged, massive fermions gives rise to gravitational and Maxwell Chern-Simons
terms. We show that Schrodinger (warped AdS_3) spacetimes exist as solutions to
a gravitational and Maxwell Chern-Simons theory with a cosmological constant.
Motivated by this, we look for warped AdS_3 or Schrodinger metrics as exact
solutions to a fully back-reacted theory containing Dirac fermions in three and
four dimensions. We work out the dynamical exponent in terms of the fermion
mass and generalize this result to arbitrary dimensions.Comment: 26 pages, v2: typos corrected, references added, minor change
Fractionalization of holographic Fermi surfaces
Zero temperature states of matter are holographically described by a
spacetime with an asymptotic electric flux. This flux can be sourced either by
explicit charged matter fields in the bulk, by an extremal black hole horizon,
or by a combination of the two. We refer to these as mesonic, fully
fractionalized and partially fractionalized phases of matter, respectively. By
coupling a charged fluid of fermions to an asymptotically AdS_4
Einstein-Maxwell-dilaton theory, we exhibit quantum phase transitions between
all three of these phases. The onset of fractionalization can be either a first
order or continuous phase transition. In the latter case, at the quantum
critical point the theory displays an emergent Lifshitz scaling symmetry in the
IR.Comment: 1+24 pages. 7 figure
Kerr/CFT, dipole theories and nonrelativistic CFTs
We study solutions of type IIB supergravity which are SL(2,R) x SU(2) x
U(1)^2 invariant deformations of AdS_3 x S^3 x K3 and take the form of products
of self-dual spacelike warped AdS_3 and a deformed three-sphere. One of these
backgrounds has been recently argued to be relevant for a derivation of
Kerr/CFT from string theory, whereas the remaining ones are holographic duals
of two-dimensional dipole theories and their S-duals. We show that each of
these backgrounds is holographically dual to a deformation of the DLCQ of the
D1-D5 CFT by a specific supersymmetric (1,2) operator, which we write down
explicitly in terms of twist operators at the free orbifold point. The
deforming operator is argued to be exactly marginal with respect to the
zero-dimensional nonrelativistic conformal (or Schroedinger) group - which is
simply SL(2,R)_L x U(1)_R. Moreover, in the supergravity limit of large N and
strong coupling, no other single-trace operators are turned on. We thus propose
that the field theory duals to the backgrounds of interest are nonrelativistic
CFTs defined by adding the single Schroedinger-invariant (1,2) operator
mentioned above to the original CFT action. Our analysis indicates that the
rotating extremal black holes we study are best thought of as finite
right-moving temperature (non-supersymmetric) states in the above-defined
supersymmetric nonrelativistic CFT and hints towards a more general connection
between Kerr/CFT and two-dimensional non-relativistic CFTs.Comment: 48+8 pages, 4 figures; minor corrections and references adde
Black hole Berry phase
Supersymmetric black holes are characterized by a large number of degenerate ground states. We argue that these black holes, like other quantum mechanical systems with such a degeneracy, are subject to a phenomenon which is called the geometric or Berry’s phase: under adiabatic variations of the background values of the supergravity moduli, the quantum microstates of the black hole mix among themselves. We present a simple example where this mixing is exactly computable, that of small supersymmetric black holes in 5 dimensions