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Dmitri V. Gal'tsov

Publications and source records attributed to Dmitri V. Gal'tsov.

39 records · Page 3Linked to original sources

Vacuum Interpretation for Supergravity M-Branes

A non-local classical duality between the three-block truncated 11D supergravity and the 8D vacuum gravity with two commuting Killing symmetries is established. The supergravity four-form field is generated via an inverse dualisation of the corresponding Killing two-forms in six dimensions. 11D supersymmetry condition is shown to be equivalent to existence of covariantly constant spinors in eight dimensions. Thus any solution to the vacuum Einstein equations in eight dimensions depending on six coordinates and admitting Killing spinors have supersymmetric 11D-supergravity counterparts. Using this duality we derive some new brane solutions to 11D-supergravity including 1/4 supersymmetric intersecting M-branes with a NUT parameter and a dyon solution joining the M2 and M5-branes intersecting at a point.

hep-th↗

SL(4,R) generating symmetry in five-dimensional gravity coupled to dilaton and three-form

We give an explicit formulation of the three-dimensional $SL(4,R)/SO(2,2) σ$-model representing the five-dimensional Einstein gravity coupled to the dilaton and the three-form field for spacetimes with two commuting Killing vector fields. New matrix representation is obtained which is similar to one found earlier in the four-dimensional Einstein-Maxwell-Dilaton-Axion (EMDA) theory. The SL(4,R) symmetry joins a variety of 5D solutions of different physical types including strings, 0-branes, KK monopoles etc. interpreting them as duals to the four-dimensional Kerr metric translated along the fifth coordinate. The symmetry transformations are used to construct new rotating strings and composite 0-1-branes endowed with a NUT parameter.

hep-th↗

STRINGY SPHALERONS AND GAUSS--BONNET TERM

The effect of the Gauss--Bonnet term on the SU(2) non--Abelian regular stringy sphaleron solutions is studied within the non--perturbative treatment. It is found that the existence of regular solutions depends crucially on the value of the numerical factor $β$ in front of the Gauss--Bonnet term in the four--dimensional effective action. Numerical solutions are constructed in the N=1, 2, 3 cases for different $β$ below certain critical values $β_N$ which decrease with growing N (N being the number of nodes of the Yang--Mills function). It is proved that for any static spherically symmetric asymptotically flat regular solution the ADM mass is exactly equal to the dilaton charge. No solutions were found for $β$ above critical values, in particular, for $β=1$.

hep-th↗