14 citations · 90 across the 22 of their papers we have counts for
22 papers · 1 filter
Generalized Khler Geometry in Kazama-Suzuki coset models
S. E. Parkhomenko
It is shown that Kazama-Suzuki conditions for the denominator subgroup of N=2 superconformal coset model determine Generalized Khler geometry on the target space of…
Generalized Khler Geometry and current algebras in classical N=2 superconformal WZW model
S. E. Parkhomenko
I examine the Generalized Khler geometry of classical superconformal WZW model on a compact group and relate the right-moving and left-moving Kac-Moody superalg…
Generalized Kähler Geometry and current algebras in N=2 superconformal WZW model
S. E. Parkhomenko
We examine the Generalized Khler Geometry of quantum N=2 superconformal WZW model on and relate the right-moving and left-moving Kac-Moody superalgebra…
Kazama-Suzuki Models of N=2 Superconformal Field Theory and Manin triples
S. E. Parkhomenko
Kazama-Suzuki coset models is an interesting class of N=2 supersymmetric models of conformal field theory which are used to build realistic models of superstring in 4 dimensions. W…
Line bundle twisted chiral de Rham complex and bound states of D-branes on toric manifolds
S. E. Parkhomenko
In this note we calculate elliptic genus in various examples of twisted chiral de Rham complex on two dimensional toric compact manifolds and Calabi-Yau hypersurfaces in toric mani…
Fermionic screenings and chiral de Rham complex on CY manifolds with line bundles
Sergei E. Parkhomenko
We represent a generalization of Borisov's construction of chiral de Rham complex for the case of line bundle twisted chiral de Rham complex on Calabi-Yau hypersurface in projectiv…
Free-field Representations and Geometry of some Gepner models
S. E. Parkhomenko
The geometry of Gepner model, where is investigated by free-field representation known as "$bc\bet\gm$"-system. Using this representation it is shown directly that…
Gepner-like models and Landau-Ginzburg/sigma-model correspondence
S. E. Parkhomenko
The Gepner-like models of -type is considered. When is multiple of the elliptic genus and the Euler characteristic is calculated. Using free-field representation w…
Free Field Construction of D-Branes in Rational Models of CFT and Gepner Models
Sergei E. Parkhomenko
This is a review article of my recent papers on free field construction of D-branes in N = 2 superconformal minimal models and Gepner models.
Free-Field Representation of Permutation Branes in Gepner Models
S. E. Parkhomenko
We consider free-field realization of Gepner models basing on free-field realization of N=2 superconformal minimal models. Using this realization we analyse A/B-type boundary condi…
Free Field Construction of D-branes in N=2 Superconformal Minimal Models
S. E. Parkhomenko
The construction of D-branes in N=2 superconformal minimal models, based on free field realization of N=2 super-Virasoro algebra unitary modules is represented.
BRST construction of D-branes in SU(2) WZW model
S. E. Parkhomenko
BRST construction of -branes in SU(2) WZW model is proposed.
Monodromic strings
C. Klimcik, S. Parkhomenko
We argue that apart from the standard closed and open strings one may consider a third possibility that we call monodromic strings. The monodromic string propagating on a target lo…
Supersymmetric gauged WZNW models as dressing cosets
C. Klimcik, S. Parkhomenko
The domain of applicability of the Poisson-Lie T-duality is enlarged to include the gauged WZNW models.
On the Quantum Poisson-Lie T-duality and Mirror Symmetry
S. E. Parkhomenko
Poisson-Lie T-duality in quantum N=2 superconformal WZNW models is considered. The Poisson-Lie T-duality transformation rules of the super-Kac-Moody algebra currents are found from…
Mirror Symmetry as a Poisson-Lie T-Duality
S. E. Parkhomenko
The transformation properties of the N=2 Virasoro superalgebra generators under Poisson-Lie T-duality in (2,2)-superconformal WZNW and Kazama-Suzuki models is considered. It is sho…
Poisson-Lie T-duality and N=2 superconformal WZNW models on compact groups
S. E. Parkhomenko
The supersymmetric generalization of Pisson-Lie T-duality in N=2 superconformal WZNW models on the compact groups is considered. It is shown that the role of Drinfeld's doubles pla…
Poisson-Lie T-duality and Complex Geometry in N=2 superconformal WZNW models
S. E. Parkhomenko
Poisson-Lie T-duality in N=2 superconformal WZNW models on the real Lie groups is considered. It is shown that Poisson-Lie T-duality is governed by the complexifications of the cor…
Poisson-Lie T-duality in N=2 Superconformal Field Theories
S. E. Parkhomenko
The supersymmetric generalization of Poisson-Lie T-duality in superconformal WZNW models is considered. It is shown that the classical N=2 superconformal WZNW models posses a natur…
QUASI FROBENIUS LIE ALGEBRAS CONSTRUCTION OF N=4 SUPERCONFORMAL FIELD THEORIES
S. E. Parkhomenko
Manin triple construction of N=4 superconformal field theories is considered. The correspondence between quasi Frobenius finite-dimensional Lie algebras and N=4 superconformal fiel…
Regular representations of affine Kac-Moody algebras
B. Feigin, S. Parkhomenko
In this paper we investigate one Wakimoto-type construction of affine Kac-Moody algebras. We obtain a version of the regular representation, on which the affine algebra acts from t…
Physical States in Topological Phase of N=2 Supersymmetric WZNW Models
S. E. Parkhomenko
N=2 supersymmetric WZNW models associated with finite-dimensional Manin triples is considered. Physical states in topological phase of these models are computed and them N=2 WZNW r…