A5010774456- Algebraic structures and combinatorial models
- Advanced Topics in Algebra
- Black Holes and Theoretical Physics
- Nonlinear Waves and Solitons
- Homotopy and Cohomology in Algebraic Topology
- Advanced Algebra and Geometry
- Advanced Operator Algebra Research
- Physics of Superconductivity and Magnetism
- Noncommutative and Quantum Gravity Theories
- Quantum Chromodynamics and Particle Interactions
- Corporate Governance and Management
- Algebraic Geometry and Number Theory
- Digital Innovation in Industries
- Cosmology and Gravitation Theories
- Geometric and Algebraic Topology
- Cold Atom Physics and Bose-Einstein Condensates
- Corporate Management and Leadership
- Quantum many-body systems
- Quantum Mechanics and Non-Hermitian Physics
- Algebraic and Geometric Analysis
- Theoretical and Computational Physics
- Sociology and Education Studies
- Particle physics theoretical and experimental studies
- Quantum chaos and dynamical systems
- Economic and Social Issues
Karlstad University
2014-2025
University Children's Hospital Tübingen
2012-2022
Universität Hamburg
2005-2019
Swinburne University of Technology
2006-2008
King's College London
2007
Quantum (Australia)
2006-2007
Max Planck Institute for Gravitational Physics
2005-2006
Max Planck Society
1999-2006
ETH Zurich
1999-2005
Humboldt-Universität zu Berlin
2004
We demonstrate that the fusion algebra of conformal defects a two-dimensional field theory contains information about internal symmetries and allows one to read off generalizations Kramers-Wannier duality. illustrate general mechanism in examples Ising model three-state Potts model.
Defects are a useful tool in the study of quantum field theories.This is illustrated example two-dimensional conformal theories.We describe how defect lines and their junction points appear description symmetries order-disorder dualities, as well orbifold construction generalisation thereof that covers exceptional modular invariants.
We provide a description of virtual non-local matrix product operator (MPO) symmetries in projected entangled pair state (PEPS) representations string-net models. Given such PEPS representation, we show that the consistency conditions its MPO amount to set six coupled equations can be identified with pentagon bimodule category. This allows us classify all equivalent and build intertwiners between them, synthesising generalising wide variety tensor network topological phases. Furthermore, use...
Symmetry breaking boundary conditions for WZW theories are discussed.We derive explicit formulae the reflection coefficients in presence of that preserve only an orbifold subalgebra with respect to involutive automorphism chiral algebra.The characters and modular transformations corresponding computed.Both inner outer automorphisms treated.
We study properties of the category modules an algebra object A in a tensor C. show that module inherits various structures from C, provided is Frobenius with certain additional properties.As byproduct we obtain results about Frobenius-Schur indicator sovereign categories.A braiding on C not needed, nor semisimplicity.We apply our to description boundary conditions two-dimensional conformal field theory and present illustrative examples.We categories give rise NIM-reps fusion rules, discuss...
We give a general construction of correlation functions in rational conformal field theory on possibly nonorientable surface with boundary terms three-dimensional topological theory. The applies to any modular category the sense Turaev. It is proved that these obey invariance and factorization rules. Structure constants are calculated expressed data category.
We present measurements of the binding energies $^{6}\text{L}\text{i}$ $p$-wave Feshbach molecules formed in combinations $|F=1/2,{m}_{F}=+1/2⟩$ $(|1⟩)$ and $|F=1/2,{m}_{F}=\ensuremath{-}1/2⟩$ $(|2⟩)$ states. The scale linearly with magnetic field detuning for all three resonances. relative molecular moments are found to be $113\ifmmode\pm\else\textpm\fi{}7\text{ }\ensuremath{\mu}\text{K}/\text{G}$, $111\ifmmode\pm\else\textpm\fi{}6\text{ $118\ifmmode\pm\else\textpm\fi{}8\text{...
We study the sewing constraints for rational two-dimensional conformal field theory on oriented surfaces with possibly nonempty boundary.The boundary condition is taken to be same all segments of following uniqueness result established: a solution nondegenerate closed state vacuum and two-point correlators fields disk bulk sphere, up equivalence are uniquely determined by one-, two-and three-point disk.