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A lattice non-perturbative definition of chiral fermion/gauge theory from Topological Order

Juven Wang Harvard University
December 13, 2013 PIRSA:13120069
Scientific Area

Condensed Matter
Cohomology groups in mirror symmetry
November 21, 2004 PIRSA:04110025
(0,4) sigma models and K3

Sarah Harrison Stanford University
December 18, 2013 PIRSA:13120071
Scientific Area

Quantum Fields and Strings
The Bose-Hubbard model is QMA-complete

David Gosset Institute for Quantum Computing (IQC)
December 18, 2013 PIRSA:13120067
Scientific Area

Quantum Information
Scale-free primordial cosmology

Anna Ijjas Max Planck Institute for Gravitational Physics - Albert Einstein Institute (AEI)
December 19, 2013 PIRSA:13120063
Scientific Area

Cosmology
13/14 PSI - Standard Model Review - Lecture 1

Paul Langacker Institute for Advanced Study (IAS)

January 06, 2014 PIRSA:14010008
13/14 PSI - Gravitational Physics Review - Lecture 1

Ruth Gregory King's College London - Department of Mathematics

January 06, 2014 PIRSA:14010027
13/14 PSI - Standard Model Review - Lecture 2

Paul Langacker Institute for Advanced Study (IAS)

January 07, 2014 PIRSA:14010009
13/14 PSI - Gravitational Physics Review - Lecture 2

Ruth Gregory King's College London - Department of Mathematics

January 07, 2014 PIRSA:14010028
Kahler affine structures and the affine Calabi conjecture
November 21, 2004 PIRSA:04110026
Introduction to Quantum Field Theory for Cosmology - Lecture 1

Achim Kempf University of Waterloo

January 07, 2014 PIRSA:14010000
13/14 PSI - Standard Model Review - Lecture 3

Paul Langacker Institute for Advanced Study (IAS)

January 08, 2014 PIRSA:14010010

A lattice non-perturbative definition of chiral fermion/gauge theory from Topological Order

Juven Wang Harvard University
December 13, 2013 PIRSA:13120069
Scientific Area

Condensed Matter
A non-perturbative definition of anomaly-free chiral fermions and bosons in 1+1D spacetime as finite quantum systems on 1D lattice is proposed. In particular, any 1+1D anomaly-free chiral matter theory can be defined as finite quantum systems on 1D lattice with on-site symmetry, if we include strong interactions between matter fields. Our approach provides another way, apart from Ginsparg-Wilson fermions approach, to avoid the fermion-doubling challenge. In general, using the defining connection between gauge anomalies and the symmetry-protected topological orders, we propose that any truly anomaly-free chiral gauge theory can be non-perturbatively defined by putting it on a lattice in the same dimension. As an additional remark, we conjecture/prove the equivalence relation between 't Hooft anomaly matching conditions and the boundary fully gapping rules.
Cohomology groups in mirror symmetry
November 21, 2004 PIRSA:04110025
(0,4) sigma models and K3

Sarah Harrison Stanford University
December 18, 2013 PIRSA:13120071
Scientific Area

Quantum Fields and Strings
TBA
The Bose-Hubbard model is QMA-complete

David Gosset Institute for Quantum Computing (IQC)
December 18, 2013 PIRSA:13120067
Scientific Area

Quantum Information
The Bose-Hubbard model is a system of interacting bosons that live on the vertices of a graph. The particles can move between adjacent vertices and experience a repulsive on-site interaction. The Hamiltonian is determined by a choice of graph that specifies the geometry in which the particles move and interact. We prove that approximating the ground energy of the Bose-Hubbard model on a graph at fixed particle number is QMA-complete. In our QMA-hardness proof, we encode the history of an n-qubit computation in the subspace with at most one particle per site (i.e., hard-core bosons). This feature, along with the well-known mapping between hard-core bosons and spin systems, lets us prove a related result for a class of 2-local Hamiltonians defined by graphs that generalizes the XY model. By avoiding the use of perturbation theory in our analysis, we circumvent the need to multiply terms in the Hamiltonian by large coefficients. This is joint work with Andrew Childs and Zak Webb.
Scale-free primordial cosmology

Anna Ijjas Max Planck Institute for Gravitational Physics - Albert Einstein Institute (AEI)
December 19, 2013 PIRSA:13120063
Scientific Area

Cosmology
The large-scale structure of the universe suggests that the physics underlying its early evolution is scale-free. In this talk, using a hydrodynamic approach, I will discuss how the scale-free principle restores predictive power and makes it possible to evaluate inflationary models and to compare them with alternative cosmologies.
13/14 PSI - Standard Model Review - Lecture 1

Paul Langacker Institute for Advanced Study (IAS)

January 06, 2014 PIRSA:14010008
13/14 PSI - Gravitational Physics Review - Lecture 1

Ruth Gregory King's College London - Department of Mathematics

January 06, 2014 PIRSA:14010027
13/14 PSI - Standard Model Review - Lecture 2

Paul Langacker Institute for Advanced Study (IAS)

January 07, 2014 PIRSA:14010009
13/14 PSI - Gravitational Physics Review - Lecture 2

Ruth Gregory King's College London - Department of Mathematics

January 07, 2014 PIRSA:14010028
Kahler affine structures and the affine Calabi conjecture
November 21, 2004 PIRSA:04110026
Introduction to Quantum Field Theory for Cosmology - Lecture 1

Achim Kempf University of Waterloo

January 07, 2014 PIRSA:14010000
13/14 PSI - Standard Model Review - Lecture 3

Paul Langacker Institute for Advanced Study (IAS)

January 08, 2014 PIRSA:14010010

Title	Speaker(s)	Date	Collection	Type	Info	Relevance
A lattice non-perturbative definition of chiral fermion/gauge theory from Topological Order	Juven Wang	2013‑12‑13	Condensed Matter	Scientific Series	View details	1
Cohomology groups in mirror symmetry		2004‑11‑21	Thematic Program on The Geometry of String Theory 2004 - 2005: Mirror Symmetry	Other	View details	1
(0,4) sigma models and K3	Sarah Harrison	2013‑12‑18	Quantum Fields and Strings	Scientific Series	View details	1
The Bose-Hubbard model is QMA-complete	David Gosset	2013‑12‑18	Perimeter Institute Quantum Discussions	Scientific Series	View details	1
Scale-free primordial cosmology	Anna Ijjas	2013‑12‑19	Cosmology and Gravitation	Scientific Series	View details	1
13/14 PSI - Standard Model Review - Lecture 1	Paul Langacker	2014‑01‑06	13/14 PSI - Standard Model Review	Course	View details	1
13/14 PSI - Gravitational Physics Review - Lecture 1	Ruth Gregory	2014‑01‑06	13/14 PSI - Gravitational Physics Review	Course	View details	1
13/14 PSI - Standard Model Review - Lecture 2	Paul Langacker	2014‑01‑07	13/14 PSI - Standard Model Review	Course	View details	1
13/14 PSI - Gravitational Physics Review - Lecture 2	Ruth Gregory	2014‑01‑07	13/14 PSI - Gravitational Physics Review	Course	View details	1
Kahler affine structures and the affine Calabi conjecture		2004‑11‑21	Thematic Program on The Geometry of String Theory 2004 - 2005: Mirror Symmetry	Other	View details	1
Introduction to Quantum Field Theory for Cosmology - Lecture 1	Achim Kempf	2014‑01‑07	Quantum Field Theory for Cosmology - 2014	Course	View details	1
13/14 PSI - Standard Model Review - Lecture 3	Paul Langacker	2014‑01‑08	13/14 PSI - Standard Model Review	Course	View details	1

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