منابع مشابه
Symplectic Fermions
We study two-dimensional conformal field theories generated from a “symplectic fermion” — a free two-component fermion field of spin one — and construct the maximal local supersymmetric conformal field theory generated from it. This theory has central charge c = −2 and provides the simplest example of a theory with logarithmic operators. Twisted states with respect to the global SL(2, C)-symmet...
متن کاملSymplectic Fermions – Symmetries of a Vertex Operator Algebra
The model of d symplectic fermions constructed by Abe [1] gives an example of a C2cofinite vertex operator algebra admitting logarithmic modules. While the case d = 1 is a rigorous formulation of the well known triplet algebra, the case d > 1 has not yet been analyzed from the perspective of W-algebras. It is shown that in the latter case the W(2, 2 2−d−1, 3 2+d)-algebra is realized. With respe...
متن کاملIntegrals of Motion for Critical Dense Polymers and Symplectic Fermions
We consider critical dense polymers L(1, 2). We obtain for this model the eigenvalues of the local integrals of motion of the underlying Conformal Field Theory by means of Thermodynamic Bethe Ansatz. We give a detailed description of the relation between this model and Symplectic Fermions including some examples of the indecomposable structure of the transfer matrix in the continuum limit. Inte...
متن کاملSymplectic subspaces of symplectic Grassmannians
Let V be a non-degenerate symplectic space of dimension 2n over the field F and for a natural number l < n denote by Cl(V ) the incidence geometry whose points are the totally isotropic l-dimensional subspaces of V . Two points U, W of Cl (V ) will be collinear when W ⊂ U⊥ and dim(U ∩ W ) = l − 1 and then the line on U and W will consist of all the l-dimensional subspaces of U + W which contain...
متن کاملTheta functions on covers of symplectic groups
We study the automorphic theta representation $Theta_{2n}^{(r)}$ on the $r$-fold cover of the symplectic group $Sp_{2n}$. This representation is obtained from the residues of Eisenstein series on this group. If $r$ is odd, $nle r
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2000
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(00)00295-9