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6 papers
Twists and singular vectors in ^sl(2|1) representations
AM Semikhatov, A Taormina
We propose new formulas for singular vectors in Verma modules over the affine Lie superalgebra . We analyze the coexistence of singular vectors of different types an…
A Semi-Infinite Construction of Unitary N=2 Modules
BL Feigin, AM Semikhatov, IYu Tipunin
We show that each unitary representation of the N=2 superVirasoro algebra can be realized in terms of ``collective excitations'' over a filled Dirac sea of fermionic operators sati…
Past the Highest-Weight, and What You Can Find There
A M Semikhatov
The properties of highest-weight representations of the N=2 superconformal algebra in two dimensions can be considerably simplified when re-expressed in terms of relaxed ^sl(2) rep…
Embedding Diagrams of N=2 Verma Modules and Relaxed ^sl(2) Verma Modules
A M Semikhatov, V A Sirota
We classify and explicitly construct the embedding diagrams of Verma modules over the N=2 supersymmetric extension of the Virasoro algebra. The essential ingredient of the solution…
Verma Modules, Extremal Vectors, and Singular Vectors on the Non-Critical N=2 String Worldsheet
A. M. Semikhatov
We formulate the general construction for singular vectors in Verma modules of the affine sl(2|1) superalgebra. We then construct sl(2|1) representations out of the fields of the n…
Inverting the Hamiltonian Reduction in String Theory
A M Semikhatov
It is well known that many interesting realisations of string theories can be obtained via hamiltonian reduction from WZW models. I want to point out that string theories do in cer…