Fusion rules for the logarithmic N = 1 superconformal minimal models II: Including the Ramond sector
نویسندگان
چکیده
منابع مشابه
Birman-Wenzl-Murakami Algebra and Logarithmic Superconformal Minimal Models
Two-dimensional exactly solvable loop models, built on the Temperley-Lieb algebra, have previously been introduced to study statistical systems with non-local degrees of freedom such as polymers and percolation. In the continuum scaling limit, these models describe logarithmic minimal Conformal Field Theories (CFTs). In this thesis, we introduce and study new two-dimensional exactly solvable su...
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We present explicit conjectures for the chiral fusion algebras of the logarithmic minimal models LM(p, p ′) considering Virasoro representations with no enlarged or extended symmetry algebra. The generators of fusion are countably infinite in number but the ensuing fusion rules are quasi-rational in the sense that the fusion of a finite number of representations decomposes into a finite direct ...
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Quantum hamiltonian reduction of affine superalgebras is studied in the twisted case. The Ramond sector of “minimal” superconformal Walgebras is described in detail, the determinant formula is obtained. The paper generalizes the results of Kac and Wakimoto to the twisted case. Work partially supported by Minerva Foundation, Germany. Grant No. 8466.
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The generalization to N=1 superconformal minimal models of the relation between the modular transformation matrix and the fusion rules in rational conformal field theories, the Verlinde theorem, is shown to provide complete information about the fusion rules, including their fermionic parity. The results for the superconformal Tricritical Ising and Ashkin-Teller models agree with the known rati...
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We give a direct proof of the new ”product” expression for the Ramond sector characters of N=2 minimal models recently suggested by E. Witten. Our construction allows us to generalize these expressions to the D and E series of N=2 minimal models, as well as to other N=2 Kazama–Suzuki coset models such as SU(N)×SO(2(N−1))/SU(N−1)×U(1). We verify that these expressions indeed coincide with the co...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2016
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2016.02.010