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Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms
Logarithmic tensor category theory, VI: Expansion condition associativity of logarithmic intertwining operators associativity isomorphisms
2011/2/23
This is the sixth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (...
General dynamic properties like controllability and simulability of spin systems, fermionic and bosonic systems are investigated in terms of symmetry.Symmetries may be due to the interaction topology ...
Shape theory via affine transformation: Some generalisations
Jacobians Jack polynomials generalised hypergeometric functions
2011/2/28
This work sets the statistical affine shape theory in the context of real normed divi-sion algebras. The general densities apply for every field: real, complex, quaternion,octonion, and for any noncen...
On Moduli Spaces and CW Structures Arising from Morse Theory On Hilbert Manifolds
Morse theory negative gradient dynamics Hilbert manifold
2011/2/21
This paper proves some results on negative gradient dynamics of Morse functions on Hilbert manifolds. It contains the compactness of ow lines, manifold structures of certain compacti-
ed moduli spa...
Higher index theory for certain expanders and Gromov monster groups II
Higher index theory certain expanders Gromov monster groups II
2011/2/22
In this paper, the second of a series of two, we continue the study of higher index theory for expanders. We prove that if a sequence of graphs has girth tending to infinity, then the maximal coarse B...
Higher index theory for certain expanders and Gromov monster groups I
Higher index theory certain expanders Gromov monster groups I
2011/2/22
In this paper, the first of a series of two, we continue the study of higher index theory for expanders. We prove that if a sequence of graphs is an expander and the girth of the graphs tends to infin...
Diophantine Geometry over Groups X: The Elementary Theory of Free Products of Groups
Diophantine Geometry Groups X Elementary Theory of Free Products of Groups
2011/1/14
This paper is the 10th in a sequence on the structure of sets of solutions to systems of equations over groups, projections of such sets (Diophantine sets), and the structure of definable sets over fe...
Noncommutative field theories are a class of theories beyond the standard model of elementary particle physics. Their importance may be summarized in two facts.Firstly as field theories on noncommutat...
Diagonalization-free implementation of spin relaxation theory for large spin systems
NMR EPR relaxation simulation spin dynamics
2011/3/1
The Liouville space spin relaxation theory equations are reformulated in such a way as to avoid the computationally expensive Hamiltonian diagonalization step, replacing it by numerical evaluation of ...
Instantons, Quivers and Noncommutative Donaldson-Thomas Theory
Instantons Quivers Noncommutative Donaldson-Thomas Theory
2011/3/2
We construct noncommutative Donaldson{Thomas invariants associated with abelian orbifold
singularities by analysing the instanton contributions to a six-dimensional topological gauge
theory.
Noncommutative field theories are a class of theories beyond the standard model of elementary particle physics. Their importance may be summarized in two facts.Firstly as field theories on noncommutat...
Reconstruction in quantum field theory with a fundamental length
Reconstruction quantum field theory fundamental length
2011/2/21
In this paper, we establish an analog of Wightman’s reconstruction theorem for nonlocal
quantum field theory with a fundamental length. In our setting, the Wightman generalized functions are defined ...
On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory
Differential Galois Theory Darboux theory of Integrability Poincar´ e problem,
2011/2/24
We study the integrability of polynomial vector fields using Galois theory of linear differential equations when the associated foliations is reduced to a Riccati type folia-tion.
Random partitions and asymptotic theory of symmetric groups, Hecke algebras and finite Chevalley groups
Random partitions asymptotic theory of symmetric groups Hecke algebras finite Chevalley groups
2011/2/22
Kit meanwhile had begun to frequent the Applied Mechanics Institute. Since Prandtl’s recent discovery of the boundary layer, things over there had been hopping, with intense inquiry into matters of li...
Effective Action and Phase Transitions in Thermal Yang-Mills Theory on Spheres
Confinement Nonperturbative Effects QCD
2011/3/2
We study the covariantly constant Savvidy-type chromomagnetic vacuum in finite-temperature
Yang-Mills theory on the four-dimensional curved spacetime. Motivated by the fact that a positive spatial cu...