Scientific Series

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Bootstrapping CFTs with the Extremal Functional Method

Miguel Paulos École Normale Supérieure - PSL
November 27, 2012

PIRSA:12110049
High Energy Physics
Exact Calculations in the 1D Continuum for DFT and Beyond

November 27, 2012

PIRSA:12110085
Bubble Baryogenesis

Gilly Elor University of California, Berkeley
November 27, 2012

PIRSA:12110091
Astrophysics
Mass and Tension (momentum) Sum Rules in AdS (dS)

Jennie Traschen University of Massachusetts Amherst
November 27, 2012

PIRSA:12110042
General Relativity & Quantum Cosmology
Dynamical Capture Compact Binary Mergers

William East Perimeter Institute for Theoretical Physics
November 22, 2012

PIRSA:12110054
General Relativity & Quantum Cosmology
Holography for inflation using conformal perturbation theory.

Paul McFadden Durham University
November 22, 2012

PIRSA:12110078
Astrophysics
Twisted quantum double model of topological phases

Yidun Wan Fudan University
November 21, 2012

PIRSA:12110079
Condensed Matter
Quantum Signatures of Chaos

Shohini Ghose Wilfrid Laurier University

November 21, 2012

PIRSA:12110072
Principle of relativity for quantum theory

Marco Zaopo University of Pavia
November 20, 2012

PIRSA:12110073
Quantum Physics
3 point functions in the AdS4/CFT3 correspondence

Agnese Bissi The Abdus Salam International Centre for Theoretical Physics (ICTP)
November 20, 2012

PIRSA:12110053
High Energy Physics
An exact solution of the Dirac equation with CP violation.

Tomislav Prokopec Utrecht University
November 20, 2012

PIRSA:12110076
Astrophysics
Superradiant Superconductivity

Baskaran Ganapathy Institute of Mathematical Sciences
November 16, 2012

PIRSA:12110071
Condensed Matter

Bootstrapping CFTs with the Extremal Functional Method

Miguel Paulos École Normale Supérieure - PSL
November 27, 2012

PIRSA:12110049
High Energy Physics
The existence of a positive linear functional acting on the space of (differences between) conformal blocks has been shown to rule out regions in the parameter space of conformal field theories (CFTs). We argue that at the boundary of the allowed region the extremal functional contains, in principle, enough information to determine the dimensions and OPE coefficients of an infinite number of operators appearing in the correlator under analysis. Based on this idea we develop the Extremal Functional Method (EFM), a numerical procedure for deriving the spectrum and OPE coefficients of CFTs lying on the boundary (of solution space). We test the EFM by using it to rederive the low lying spectrum and OPE coefficients of the 2d Ising model based solely on the dimension of a single scalar quasi-primary -- no Virasoro algebra required. Our work serves as a benchmark for applications to more interesting, less known CFTs in the near future, such as the 3d Ising model.
Exact Calculations in the 1D Continuum for DFT and Beyond

November 27, 2012

PIRSA:12110085

Most applications of the density matrix renormalization group (DMRG) have been to lattice models with short range interactions. But recent developments in DMRG technology open the door to studying continuum systems with long-range interactions in one dimension (1d). One key motivation is simulating cold atom experiments, where it is possible to engineer Hamiltonians of precisely this type. We have been applying DMRG in the 1d continuum with another motivation: to investigate and improve density functional theory (DFT). DFT has exact mathematical foundations, but in practice one must use approximations. These approximations work incredibly well for weakly correlated systems yet fail when correlations are strong. Improving DFT directly for realistic 3d systems is hard because few systems can be solved exactly. By working in the 1d continuum instead, we can use the power of DMRG to study DFT. We can implement both the exact DFT formalism and standard DFT approximations. After showing how to overcome the challenges in performing these calculations, I will discuss some of the key questions we are investigating, for example, the ability of DFT to predict gaps of insulating systems.
Bubble Baryogenesis

Gilly Elor University of California, Berkeley
November 27, 2012

PIRSA:12110091
Astrophysics
Mass and Tension (momentum) Sum Rules in AdS (dS)

Jennie Traschen University of Massachusetts Amherst
November 27, 2012

PIRSA:12110042
General Relativity & Quantum Cosmology
The stress-energy tensor in a conformal field theory has zero trace. Hence AdS boundary stress-tensors are traceless by construction, to match this property of the dual CFT. An elegant (aka nifty) construction based on the conformal isometry of AdS will be presented which shows that in an asymptotically AdS spacetime, the sum of the ADM mass and the ADM tensions is zero. This result follows strictly from the gravitational point of view- that is, the Einstein equations and the definitions of the ADM charges. Further, it turns out that perturbative stress-energy sources in an asymptotically AdS spacetime must satisfy a local version of this constraint, namely that the sum of the energy density minus the pressures equals zero. The situation with positive cosmological constant is both similar and distinct in interesting ways, which will be briefly discussed. The analogous (analytically continued) conformal isometry in dS is the root of the ``k^4 “ power spectrum for causal cosmological perturbations. Work in progress (speculations) will be presented about a corresponding sum-rule for gravitational charges defined at future infinity in a spacetime that approaches dS at late times.
Dynamical Capture Compact Binary Mergers

William East Perimeter Institute for Theoretical Physics
November 22, 2012

PIRSA:12110054
General Relativity & Quantum Cosmology
Holography for inflation using conformal perturbation theory.

Paul McFadden Durham University
November 22, 2012

PIRSA:12110078
Astrophysics
Holographic cosmology maps cosmological time evolution to the inverse RG ﬂow of a dual three-dimensional QFT. In cases where this RG ﬂow connects two closely separated ﬁxed points, QFT correlators may be calculated perturbatively in terms of the conformal ﬁeld theory associated with one of the ﬁxed points, even when the dual QFT is at strong coupling. Realising slow-roll inﬂation in these terms, we show how to derive standard slow-roll inﬂationary power spectra and non-Gaussianities through purely holographic calculations. The form of slow-roll inﬂationary correlators is seen to be determined by the perturbative breaking of conformal symmetry away from the ﬁxed point.
Twisted quantum double model of topological phases

Yidun Wan Fudan University
November 21, 2012

PIRSA:12110079
Condensed Matter
Quantum Signatures of Chaos

Shohini Ghose Wilfrid Laurier University

November 21, 2012

PIRSA:12110072
Principle of relativity for quantum theory

Marco Zaopo University of Pavia
November 20, 2012

PIRSA:12110073
Quantum Physics
In a generic quantum experiment we have a given set of devices analyzing some physical property of a system. To each device involved in the experiment we associate a set of random outcomes corresponding to the possible values of the variable analyzed by the device. Devices have apertures that permit physical systems to pass through them. Each aperture is labelled as "input" or "output" depending on whether it is assumed that the aperture lets the system go inside or outside the device. Assuming a particular input/output structure for the devices involved in a generic experiment is equivalent to assume a particular causal structure for the space-time events constituted by the outcomes happening on devices. The joint probability distribution of these outcomes is usually predicted assuming an absolutely defined input/output structure of devices. This means that all observers of the experiment agree on whether an aperture is labelled as "input" or "output". In this talk we show that the mathematical formalism of quantum theory permits to predict the joint probability distribution of outcomes in a generic experiment in such a way that the input/output structure is indeed relative to an observer. This means that two observers of the same experiment can predict the joint probability distribution of outcomes assuming different input/output labels for the apertures. Since input/output structure is the causal structure of the space-time events constituting the outcomes involved in the experiment we conclude that in quantum theory, the causal structure of events may not be regarded as absolute but rather as relative to the observer. We finally point out that properly extending this concept to the cosmological domain could shed light on the problem of dark energy.
3 point functions in the AdS4/CFT3 correspondence

Agnese Bissi The Abdus Salam International Centre for Theoretical Physics (ICTP)
November 20, 2012

PIRSA:12110053
High Energy Physics
I will present recent developments in the computation of three point functions in the AdS4/CFT3 correspondence. More specifically I will consider two different computations for three point functions of operators belonging to the SU(2)XSU(2) sector of ABJM. I will discuss first the generalization of the determinant representation, found by Foda for the three-point functions of the SU(2) sector of N = 4 SYM, to the ABJM theory and secondly semiclassical computations in the case where two operators are heavy and one is light and BPS, comparing the results obtained in the gauge theory side using a coherent state description of the heavy operators with its string theory counterpart calculated holographically.
An exact solution of the Dirac equation with CP violation.

Tomislav Prokopec Utrecht University
November 20, 2012

PIRSA:12110076
Astrophysics
After a brief overview of electroweak baryogenesis, I will show how to construct a solution of the Dirac equation for a CP violating kink wall. This solution nicely reduces to the known solution for a CP violating thin (step) wall. The novel solution can be helpful for studies of baryogenesis sources at strong first order phase transitions, which is relevant for electroweak scale baryogenesis studies.
Superradiant Superconductivity

Baskaran Ganapathy Institute of Mathematical Sciences
November 16, 2012

PIRSA:12110071
Condensed Matter
In Dicke Superradiance, a collection of 2-level atoms interacting with a single boson mode acquires, through quantum coherence, an enhanced emission property and a rich dynamics. We suggest possibility of Dicke superradiance in a BCS superconductor. The necessary 2-level atoms are identified with Anderson pseudo spins seeing a self consistent mean field in k-space. A way to couple these 2-level bose atoms to an external boson mode and create a novel non equilibrium superradiant superconductivity (SRSC) is suggested. Our mechanism offers a hope to realize transient superconductivity, even at room temperatures, in the pseudo gap phase of certain underdoped cuprates. Recent experiments are briefly discussed in this light. Further SRSC exhibits interesting quantum entanglement and superfluorescence properties.

Title	Speaker(s)	Date	Talk Type	Info link
Bootstrapping CFTs with the Extremal Functional Method	Miguel Paulos	2012-11-27	Scientific Series	View details
Exact Calculations in the 1D Continuum for DFT and Beyond		2012-11-27	Scientific Series	View details
Bubble Baryogenesis	Gilly Elor	2012-11-27	Scientific Series	View details
Mass and Tension (momentum) Sum Rules in AdS (dS)	Jennie Traschen	2012-11-27	Scientific Series	View details
Dynamical Capture Compact Binary Mergers	William East	2012-11-22	Scientific Series	View details
Holography for inflation using conformal perturbation theory.	Paul McFadden	2012-11-22	Scientific Series	View details
Twisted quantum double model of topological phases	Yidun Wan	2012-11-21	Scientific Series	View details
Quantum Signatures of Chaos	Shohini Ghose	2012-11-21	Scientific Series	View details
Principle of relativity for quantum theory	Marco Zaopo	2012-11-20	Scientific Series	View details
3 point functions in the AdS4/CFT3 correspondence	Agnese Bissi	2012-11-20	Scientific Series	View details
An exact solution of the Dirac equation with CP violation.	Tomislav Prokopec	2012-11-20	Scientific Series	View details
Superradiant Superconductivity	Baskaran Ganapathy	2012-11-16	Scientific Series	View details

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Format results

Bootstrapping CFTs with the Extremal Functional Method

Exact Calculations in the 1D Continuum for DFT and Beyond

Bubble Baryogenesis

Mass and Tension (momentum) Sum Rules in AdS (dS)

Dynamical Capture Compact Binary Mergers

Holography for inflation using conformal perturbation theory.

Twisted quantum double model of topological phases

Quantum Signatures of Chaos

Principle of relativity for quantum theory

3 point functions in the AdS4/CFT3 correspondence

An exact solution of the Dirac equation with CP violation.

Superradiant Superconductivity

Bootstrapping CFTs with the Extremal Functional Method

Exact Calculations in the 1D Continuum for DFT and Beyond

Bubble Baryogenesis

Mass and Tension (momentum) Sum Rules in AdS (dS)

Dynamical Capture Compact Binary Mergers

Holography for inflation using conformal perturbation theory.

Twisted quantum double model of topological phases

Quantum Signatures of Chaos

Principle of relativity for quantum theory

3 point functions in the AdS4/CFT3 correspondence

An exact solution of the Dirac equation with CP violation.

Superradiant Superconductivity