39 research outputs found
Higher dimensional abelian Chern-Simons theories and their link invariants
The role played by Deligne-Beilinson cohomology in establishing the relation
between Chern-Simons theory and link invariants in dimensions higher than three
is investigated. Deligne-Beilinson cohomology classes provide a natural abelian
Chern-Simons action, non trivial only in dimensions , whose parameter
is quantized. The generalized Wilson -loops are observables of the
theory and their charges are quantized. The Chern-Simons action is then used to
compute invariants for links of -loops, first on closed
-manifolds through a novel geometric computation, then on
through an unconventional field theoretic computation.Comment: 40 page
Phases of bosonic strings and two dimensional gauge theories
We suggest that the extrinsic curvature and torsion of a bosonic string can
be employed as variables in a two dimensional Landau-Ginzburg gauge field
theory. Their interpretation in terms of the abelian Higgs multiplet leads to
two different phases. In the phase with unbroken gauge symmetry the ground
state describes open strings while in the phase with broken gauge symmetry the
ground state involves closed strings. When we allow for an additional abelian
gauge structure along the string, we arrive at an interpretation in terms of
the two dimensional SU(2) Yang-Mills theory.Comment: 8 page
Minimal knotted polygons in cubic lattices
An implementation of BFACF-style algorithms on knotted polygons in the simple
cubic, face centered cubic and body centered cubic lattice is used to estimate
the statistics and writhe of minimal length knotted polygons in each of the
lattices. Data are collected and analysed on minimal length knotted polygons,
their entropy, and their lattice curvature and writhe
Average crossing number of Gaussian and equilateral chains with and without excluded volume
We study the influence of excluded volume interactions on the behaviour of the mean average crossing number (mACN) for random off-lattice walks. We investigated Gaussian and equilateral off-lattice random walks with and without ellipsoidal excluded volume up to chain lengths of N=1500 and equilateral random walks on a cubic lattice up to N=20000. We find that the excluded volume interactions have a strong influence on the behaviour of the local crossing number 〈 a(l 1,l 2) 〉 at very short distances but only a weak one at large distances. This behaviour is the basis of the proof in [ Y. Diao et al., Math. Gen. 36, 11561 (2003); Y. Diao and C. Ernst, Physical and Numerical Models in Knot Theory Including Applications to the Life Sciences] for the dependence of the mean average crossing number on the chain length N. We show that the data is compatible with an Nln(N)-bahaviour for the mACN, even in the case with excluded volume. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 200861.82.Pv Polymers, organic compounds,
Probing the impact of temperature and substrates on the conformational dynamics of the Neurotransmitter:Sodium symporter LeuT
Probing the conformational impact of detergents on the integral membrane protein LeuT by global HDX-MS
Theory of self–contact in Kirchhoff rods with applications to supercoiling of knotted and unknotted DNA plasmids
Clinical efficacy of selective JAK1 inhibition and transcriptome analysis of chronic discoid lupus erythematosus
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