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Oleg Kechkin

Publications and source records attributed to Oleg Kechkin.

8 recordsLinked to original sources
arXiv2016

Singularity-free interaction in dilaton-Maxwell electrodynamics

An effective potential is created for the dynamics of a test particle, which preserves dilatation symmetry for nonlinear static dilaton-Maxwell background. It is found that the central interaction in this theory is regular everywhere, and that the theory is asymptotically free at short distances and that it has a Coulomb properties at great distances from the source. It is shown that static and spherically symmetric source, behaves like a soliton: it has the finite energy characteristics that are inversely proportional to the dilaton-Maxwell coupling constant.

hep-th↗
arXiv1998

Charging Symmetries and Linearizing Potentials for Heterotic String in Three Dimensions

Using the Ernst potential formulation we construct all it finite symmetry transformations which preserve asymptotics of the bosonic fields of the (d+3)--dimensional low--energy heterotic string theory compactified on a d--torus. We combine all the dynamical variables into a single (d+1)X(d+1+n)--dimensional matrix potential which linearly transforms under the action of these symmetry transformations in a transparent SO(2,d-1) X SO(2,d-1+n) way, where n is the number of Abelian vector fields. We formulate the most general solution generation technique based on the use of these symmetries and show that they form an invariance group of the general Israel--Wilson--Perj'es class of solutions.

hep-th↗
arXiv1998

Multi--dimensional IWP Solutions for Heterotic String Theory

We present extremal stationary solutions that generalize the Israel-Wilson-Perjes class for the d+3-dimensional low-energy limit of heterotic string theory with n >= d+1 U(1) gauge fields compactified on a d-torus. A rotating axisymmetric dyonic solution is obtained using the matrix Ernst potential formulation and expressed in terms of a single d+1 X d+1-matrix harmonic function. By studying the asymptotic behaviour of the field configurations we define the physical charges of the field system. The extremality condition makes the charges to saturate the Bogomol'nyi-Prasad-Sommerfield (BPS) bound. The gyromagnetic ratios of the corresponding field configurations appear to have arbitrary values. A subclass of rotating dyonic black hole-type solutions arises when the NUT charges are set to zero. In the particular case d=1, n=6, which correspond to N=4, D=4 supergravity, the found dyon reproduces the supersymmetric dyonic solution constructed by Bergshoeff et al.

hep-th↗
arXiv1998

IWP Solutions for Heterotic String in Five Dimensions

We obtain extremal stationary solutions that generalize the Israel-Wilson-Perjés class for the low-energy limit of heterotic string theory with n>=3 U(1) gauge fields toroidally compactified from five to three dimensions. A dyonic solution is obtained using the matrix Ernst potential (MEP) formulation and expressed in terms of a single real 3X3-matrix harmonic function. By studying the asymptotic behaviour of the field configurations we define the physical charges of the field system. The extremality condition makes the charges to saturate the Bogomol'nyi-Prasad-Sommerfield (BPS) bound.

hep-th↗
arXiv1998

Israel--Wilson--Perjés Solutions in Heterotic String Theory

We present a simple algorithm to obtain solutions that generalize the Israel--Wilson--Perjés class for the low-energy limit of heterotic string theory toroidally compactified from D=d+3 to three dimensions. A remarkable map existing between the Einstein--Maxwell (EM) theory and the theory under consideration allows us to solve directly the equations of motion making use of the matrix Ernst potentials connected with the coset matrix of heterotic string theory. For the particular case d=1 (if we put n=6, the resulting theory can be considered as the bosonic part of the action of D=4, N=4 supergravity) we obtain explicitly a dyonic solution in terms of one real 2\times 2--matrix harmonic function and 2n real constants (n being the number of Abelian vector fields). By studying the asymptotic behaviour of the field configurations we define the charges of the system. They satisfy the Bogomol'nyi--Prasad--Sommmerfeld (BPS) bound.

hep-th↗
arXiv1997

BPS Solutions in D=5 Dilaton-Axion Gravity

We show that the D=5 dilaton-axion gravity compactified on a 2-torus possesses the SL(4,R)/SO(4) matrix formulation. It is used for construction of the SO(2,2)-invariant BPS solution depended on the one harmonic function.

hep-th↗