In M-theory, the only AdS7 supersymmetric solutions are
AdS7 × S4 and its orbifolds. In this talk, I will describe a classification of
AdS7 supersymmetric solutions in type II supergravity. While in IIB none exist,
in IIA with Romans mass (which does not lift to M-theory) there are many new
ones. The classification starts from a pure spinor approach reminiscent of
generalized complex geometry. Without the need for any Ansatz, the method
determines uniquely the form of the metric and fluxes, up to solving a system
of ODEs. Namely, the metric on M3 is that of an S2 fibered over an interval;
this is consistent with the Sp(1) R-symmetry of the holographically dual (1,0)
theory. One can obtain numerically many solutions, with D8 and/or D6 brane
sources; topologically, the internal manifold M3 = S^3.
We propose various
properties of renormalization group beta functions for vector operators in relativistic quantum field theories. We argue that they must satisfy compensated gauge invariance, orthogonality with respect to scalar beta functions, Higgs-like relation among anomalous dimensions and a gradient property. We further conjecture that non-renormalization holds if and only if the vector operator is conserved. The local renormalization group analysis guarantees the first three within power counting renormalization. We verify all the conjectures in conformal perturbation theories and holography in the weakly coupled gravity regime.
The
late physicist John Wheeler, was renowned for his Socratic method of conducting
physics discussions. "Why is general relativity the way it is? What makes
it special?" were reportedly questions one should expect in his
presence. There are different answers to these questions, each requiring a set
of assumptions - which Wheeler would likely question again - and each bringing
with it new insights into physics as a whole. This talk will put forward
new principles for deriving general relativity. Perhaps more than is the case
with other construction principles, the principles introduced are not
limited to the derivation of general relativity, requiring only an
specification of the theory's phase space in order to be applicable. To
be less enigmatic, one defines observable equivalence between physical
theories in the Dirac constraint setting, and then the principle merely
searches theory space for two equivalent (or dual)
fully constrained
theories.
We find it quite remarkable that such a complex theory as general relativity
emerges, when no initial presupposition even on the existence of space-time is
made. If there is time (and I will argue there is!) I will discuss
another issue that also distinguishes the present set of
assumptions: the possibility that they are in a concrete sense
``self-selected", which I like to think would be more satisfactory to
Wheeler's line of questioning (or at least give him more to chew on).
I
will review recent work in two very different topics. First, I will discuss the
quasinormal mode spectrum of nearly extremal Kerr black holes, where a
bifurcation of the frequency spectrum is observed. In addition, collective
oscillations of many modes is possible, resulting in a power-law rather than
exponentially decaying ringdown. Next, I will discuss a recent proposal for how
tidally induced, multimode coupling of normal modes in neutron stars can
destabilize the stars. Such an instability could hamper gravitational wave
detection of neutron star binaries by matched filtering. By accounting for
higher-order multimode couplings, it can be shown that there is no such
instability for neutron star binaries, although a milder instability may exist
for binaries with less compact objects.
In 1982, Richard Feynman proposed the concept of a quantum computer as a means of simulating physical systems that evolve according to the Schrödinger equation. I will explain various quantum algorithms that have been proposed for this simulation problem, including my recent work (jointly with Dominic Berry and Rolando Somma) that significantly improves the running time as a function of the precision of the output data.
In the first part
of this talk I will discuss how one can characterize geometry of quantum phases
and phase transitions based on the Fubini-Study metric, which characterizes the
distance between ground state wave-functions in the external parameter space.
This metric is closely related to the Berry curvature. I will show that there
are new geometric invariants based on the Euler characteristic.
I will also show how one can directly measure this metric
tensor in simple dynamical experiments. In the second part of the talk I will
discuss emergent nature of macroscopic equations of motion (like Newton's
equations) showing that they appear in the leading order of non-adiabatic
expansion. I will show that the Berry curvature gives the Coriolis force and
the Fubini-Study metric tensor is closely related to the inertia mass. Thus I
will argue that any motion (not necessarily motion in space) is geometrical in
nature.
In systems described
by Ising-like Hamiltonians, such as spin-lattices, the Bell Inequality can be
strongly violated. Surprisingly, these systems are both local and
non-superdeterministic. They are local, because 1) they include only local,
near-neighbor interaction, 2) they satisfy, accordingly, the Clauser-Horne
factorability condition, and 3) they can violate the Bell Inequality also in dynamic
Bell experiments. Starting from this result we construct an elementary
hidden-variable model, based on a generalized Ising Hamiltonian, describing the
interaction of the Bell-particles with a stochastic ‘background’ medium. We
suggest that such a model is a simple version of a variety of recently
developed ‘sub-quantum’ theories, by authors as Nelson, Adler, De la Pena,
Cetto, Groessing, Khrennikov, all based on a background field. We investigate
how the model might be turned into a realistic theory. Finally, it appears that
background-based models can be tested and discriminated from quantum mechanics
by a straightforward extension of existing experiments.
We study the
conformal bootstrap for 3D CFTs with O(N) global symmetry. We obtain rigorous
upper bounds on the scaling dimensions of the first O(N) singlet and symmetric
tensor operators appearing in the \phi_i x \phi_j OPE, where \phi_i is a
fundamental of O(N). Comparing these bounds to previous determinations of
critical exponents in the O(N) vector models, we find strong numerical evidence
that the O(N) vector models saturate the bootstrap constraints at all values of
N. We also compute general lower bounds on the central charge, giving numerical
predictions for the values realized in the O(N) vector models. We compare our
predictions to previous computations in the 1/N expansion, finding precise
agreement at large values of N.
Searches for physics beyond the standard model come in
many forms, from terrestrial probes to astroparticle experiments and
cosmological observations. Efforts to
combine multiple search channels in 'global fits' to new physics scenarios
typically consider only a subset of the available channels. Astroparticle searches in particular are
usually only included in a very approximate way, if at all. In this talk I will review recent progress in
including detailed gamma-ray, neutrino and CMB searches for dark matter in
global fits. I will also preview some of
the future developments and challenges in this field, where the applicability
of global fits will move well beyond the small range of constrained
supersymmetric models they have so far mostly been applied to.
Loop quantum
cosmology (LQC) proposes a quantization for homogeneous cosmologies which
success in solving the classical singularity problem. Realistic scenarios call
for the consideration of inhomogeneities. Focusing on the simplest inhomogenous
cosmological model, the Gowdy model with three-torus spatial topology
and linearly polarized gravitational waves, I'll describe an approach to treat
inhomogeneities in the framework of loop quantum cosmology. This is a hybrid
approach that combines LQC methods with Fock quantization. Furthermore, I'll
discuss justified approximations that allow us to find approximate solutions to
the (very complicated) Hamiltonian constraint of the model.
We argue that dynamics of gapless Fractional Quantum Hall
Edge states is essentially non-linear and that it features fractionally
quantized solitons propagating along the edge. Observation of solitons would be
a direct evidence of fractional charges. We show that the non-linear dynamics
of the Laughlin's FQH state is governed by the quantum Benjamin-Ono equation.
AdS/CFT is a duality
relating the degrees of freedom in a D dimensional bulk gravity theory to a (D-1) dimensional theory living on the boundary. I will argue that in fact the boundary theory contains only a subset of the bulk observables. For each state of the boundary theory, there are multiple bulk states dual to it, which can be operationally distinguished by observers who fall across event horizons. Based on arXiv:1210.3590.