6,018 research outputs found
N-point and higher-genus osp(1|2) fusion
We study affine osp(1|2) fusion, the fusion in osp(1|2) conformal field
theory, for example. Higher-point and higher-genus fusion is discussed. The
fusion multiplicities are characterized as discretized volumes of certain
convex polytopes, and are written explicitly as multiple sums measuring those
volumes. We extend recent methods developed to treat affine su(2) fusion. They
are based on the concept of generalized Berenstein-Zelevinsky triangles and
virtual couplings. Higher-point tensor products of finite-dimensional
irreducible osp(1|2) representations are also considered. The associated
multiplicities are computed and written as multiple sums.Comment: 17 pages, LaTe
Two-point Functions in Affine Current Algebra and Conjugate Weights
The two-point functions in affine current algebras based on simple Lie
algebras are constructed for all representations, integrable or non-integrable.
The weight of the conjugate field to a primary field of arbitrary weight is
immediately read off.Comment: 9 pages, LaTe
On string backgrounds and (logarithmic) CFT
We discuss the link between string backgrounds and the associated world-sheet
CFTs. In the search for new backgrounds and CFTs, Penrose limits and Lie
algebra contractions are important tools. The Nappi-Witten construction and the
recently discovered logarithmic CFT by Bakas and Sfetsos, are considered as
illustrations. We also speculate on possible extensions.Comment: 9 pages, invited contribution to the proceedings on the IX-th
Workshop on Mathematical Physics and Applications, Rabat, 23-25 February 200
3-point Functions in Conformal Field Theory with Affine Lie Group Symmetry
In this paper we develop a general method for constructing 3-point functions
in conformal field theory with affine Lie group symmetry, continuing our recent
work on 2-point functions. The results are provided in terms of triangular
coordinates used in a wave function description of vectors in highest weight
modules. In this framework, complicated couplings translate into ordinary
products of certain elementary polynomials. The discussions pertain to all
simple Lie groups and arbitrary integrable representation. An interesting
by-product is a general procedure for computing tensor product coefficients,
essentially by counting integer solutions to certain inequalities. As an
illustration of the construction, we consider in great detail the three cases
SL(3), SL(4) and SO(5).Comment: 30 pages, LaTe
Polynomial fusion rings of W-extended logarithmic minimal models
The countably infinite number of Virasoro representations of the logarithmic
minimal model LM(p,p') can be reorganized into a finite number of
W-representations with respect to the extended Virasoro algebra symmetry W.
Using a lattice implementation of fusion, we recently determined the fusion
algebra of these representations and found that it closes, albeit without an
identity for p>1. Here, we provide a fusion-matrix realization of this fusion
algebra and identify a fusion ring isomorphic to it. We also consider various
extensions of it and quotients thereof, and introduce and analyze commutative
diagrams with morphisms between the involved fusion algebras and the
corresponding quotient polynomial fusion rings. One particular extension is
reminiscent of the fundamental fusion algebra of LM(p,p') and offers a natural
way of introducing the missing identity for p>1. Working out explicit fusion
matrices is facilitated by a further enlargement based on a pair of mutual
Moore-Penrose inverses intertwining between the W-fundamental and enlarged
fusion algebras.Comment: 48 page
Probing chiral dynamics by charged-pion correlations
The environment generated in the mid-rapidity region of a high-energy nuclear
collision endows the pionic degrees of freedom with a time-dependent effective
mass. Its specific evolution provides a mechanism for the production of
back-to-back charge-conjugate pairs of soft pions which may present an
observable signal of the non-equilibrium dynamics of the chiral order
parameter.Comment: revtex body and 3 eps figures (4 pages total
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