The super-Virasoro singular vectors and Jack superpolynomials relationship revisited
نویسندگان
چکیده
منابع مشابه
The Super-virasoro Singular Vectors and Jack Superpolynomials Relationship Revisited
A recent novel derivation of the representation of Virasoro singular vectors in terms of Jack polynomials is extended to the supersymmetric case. The resulting expression of a generic super-Virasoro singular vector is given in terms of a simple di erential operator (whose form is characteristic of the sector, Neveu-Schwarz or Ramond) acting on a Jack superpolynomial. The latter is indexed by a ...
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Jack superpolynomials are eigenfunctions of the supersymmetric extension of the quantum trigonometric Calogero-Moser-Sutherland. They are orthogonal with respect to the scalar product, dubbed physical, that is naturally induced by this quantum-mechanical problem. But Jack superpolynomials can also be defined more combinatorially, starting from the multiplicative bases of symmetric superpolynomi...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2016
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2016.09.003