718 research outputs found
From -Spin Intersection Numbers to Hodge Integrals
Generalized Kontsevich Matrix Model (GKMM) with a certain given potential is
the partition function of -spin intersection numbers. We represent this GKMM
in terms of fermions and expand it in terms of the Schur polynomials by
boson-fermion correspondence, and link it with a Hurwitz partition function and
a Hodge partition by operators in a group. Then, from a
constraint of the partition function of -spin intersection
numbers, we get a constraint for the Hodge partition function.
The constraint completely determines the Schur polynomials
expansion of the Hodge partition function.Comment: 51 pages, 1 figur
Parafermions: A New Conformal Field Theory
A new parafermionic algebra associated with the homogeneous space
and its corresponding -algebra have been recently proposed.
In this paper, we give a free boson representation of the
parafermion algebra in terms of seven free fields. Free field realizations of
the parafermionic energy-momentum tensor and screening currents are also
obtained. A new algebraic structure is discovered, which contains a -algebra
type primary field with spin two.Comment: LaTex 19 pages. Version to appear in Nucl. Phys.
Twisted Parafermions
A new type of nonlocal currents (quasi-particles), which we call twisted
parafermions, and its corresponding twisted -algebra are found. The system
consists of one spin-1 bosonic field and six nonlocal fields of fractional
spins. Jacobi-type identities for the twisted parafermions are derived, and a
new conformal field theory is constructed from these currents. As an
application, a parafermionic representation of the twisted affine current
algebra is given.Comment: RevTex 5 pages; Cosmetic changes, to appear in Phys.Lett.
Current Superalgebra and Non-unitary Conformal Field Theory
Motivated by application of current superalgebras in the study of disordered
systems such as the random XY and Dirac models, we investigate
current superalgebra at general level . We construct its free field
representation and corresponding Sugawara energy-momentum tensor in the
non-standard basis. Three screen currents of the first kind are also presented.Comment: LaTex file 11 page
hbar-(Yangian) Deformation of Miura Map and Virasoro Algebra
An hbar-deformed Virasoro Poisson algebra is obtained using the Wakimoto
realization of the Sugawara operator for the Yangian double DY_\hbar(sl_2)_c at
the critical level c=-2.Comment: LaTeX file, 43kb, No Figures. Serious misprints corrected, one more
reference to E. Frenkel adde
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