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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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17 papers · 2 filters
Singular Vectors and Topological Theories from Virasoro Constraints via the Kontsevich-Miwa Transform
B Gato-Rivera, A M Semikhatov
We use the Kontsevich-Miwa transform to relate the different pictures describing matter coupled to topological gravity in two dimensions: topological theories, Virasoro constraints…
On possible generalizations of field--antifield formalism
I. A. Batalin, I. V. Tyutin
A generalized version is proposed for the field-antifield formalism. The antibracket operation is defined in arbitrary field-antifield coordinates. The antisymplectic definitions a…
Non-Localizability and Asymptotic Commutativity
V. Ya. Fainberg, M. A. Soloviev
The mathematical formalism commonly used in treating nonlocal highly singular interactions is revised. The notion of support cone is introduced which replaces that of support for n…
On the Continuum Limit of the Conformal Matrix Models
A. Mironov, S. Pakuliak
The double scaling limit of a new class of the multi-matrix models proposed in \cite{MMM91}, which possess the -symmetry at the discrete level, is investigated in details. These…
Landau-Ginzburg Topological Theories in the Framework of GKM and Equivalent Hierarchies
S. Kharchev, A. Marshakov, A. Mironov +1
We consider the deformations of ``monomial solutions'' to Generalized Kontsevich Model \cite{KMMMZ91a,KMMMZ91b} and establish the relation between the flows generated by these defo…
Conformal Matrix Models as an Alternative to Conventional Multi-Matrix Models
S. Kharchev, A. Marshakov, A. Mironov +2
We introduce {\it conformal multi-matrix models} (CMM) as an alternative to conventional multi-matrix model description of two-dimensional gravity interacting with matter.…
d\leq1\bigcup d\geq25c\neq3$ Topological Algebra
B. Gato-Rivera, A. M. Semikhatov
The BRST invariance condition in a highest-weight representation of the topological ( twisted ) algebra captures the `invariant' content of two-dimensional gravity cou…
Explicit Solution to the N-Body Calogero Problem
L. Brink, T. H. Hansson, M. A. Vasiliev
We solve the N-body Calogero problem, \ie N particles in 1 dimension subject to a two-body interaction of the form $\half \sum_{i,j}[ (x_i - x_j)^2 + g/ {(x_i - x_j)^2}]$, by const…
Minimal Models from W-Constrained Hierarchies via the Kontsevich-Miwa Transform
B. ~Gato-Rivera, A. ~M. ~Semikhatov
A direct relation between the conformal formalism for 2d-quantum gravity and the W-constrained KP hierarchy is found, without the need to invoke intermediate matrix model technolog…
Solving Virasoro Constraints on Integrable Hierarchies via the Kontsevich-Miwa Transform
A. M. Semikhatov
We solve Virasoro constraints on the KP hierarchy in terms of minimal conformal models. The constraints we start with are implemented by the Virasoro generators depending on a back…
Results of the classification of superconformal algebras in two dimensions
E. S. Fradkin, V. Ya Linetsky
A list of superconformal chiral operator product expansion algebras with quadratic nonlinearity in two dimensions is completed on the basis of the known classification of little co…
Theories of -Gravity: The Set of Observables as a Model of Simply Laced
A. Marshakov, A. Mironov, A. Morozov +1
We propose to study a generalization of the Klebanov-Polyakov-Witten (KPW) construction for the algebra of observables in the string model to theories with . We emph…
Generalized Kontsevich Model Versus Toda Hierarchy and Discrete Matrix Models
S. Kharchev, A. Marshakov, A. Mironov +1
We represent the partition function of the Generalized Kontsevich Model (GKM) in the form of a Toda lattice -function and discuss various implications of non-vanishing "negative…
Towards unified theory of gravity
S. Kharchev, A. Marshakov, A. Mironov +2
We introduce a new 1-matrix model with arbitrary potential and the matrix-valued background field. Its partition function is a -function of KP-hierarchy, subjected to a kind of…
The Asymptotics of the Correlations Functions in Quantum Field Theory From Finite Size Effects in Conformal Theories
A. Mironov, A. Zabrodin
Using the finite-size effects the scaling dimensions and correlation functions of the main operators in continuous and lattice models of 1d spinless Bose-gas with pairwise interact…
On Equivalence of Topological and Quantum 2d Gravity
A. Marshakov, A. Mironov, A. Morozov
We demonstrate the equivalence of Virasoro constraints imposed on continuum limit of partition function of Hermitean 1-matrix model and the Ward identities of Kontsevich's model. S…
From Virasoro Constraints in Kontsevich's Model to -constraints in 2-matrix Models
A. Marshakov, A. Mironov, A. Morozov
The Ward identities in Kontsevich-like 1-matrix models are used to prove at the level of discrete matrix models the suggestion of Gava and Narain, which relates the degree of poten…