arXiv subjects
Publications and source records attributed to M. V. Terentiev.
The vacuun configuration of dual supergravity in ten dimensions with one-loop fivebrane corrections is analyzed. It is shown that the compactification of this theory with rather general conditions to six-dimensional space leads to zero value of cosmological constant.
Equations of motion and the lagrangian are derived explicitely for Dual D=10, N=1 Supergravity considered as a field theory limit of a Fivebrane. It is used the mass-shell solution of Heterotic String Bianchi Identites obtained in the 2-dimensional $σ$-model two-loop approximation and in the tree-level Heterotic String approximation. As a result the Dual Supergravity lagrangian is derived in the one-loop Five-Brane approximation and in the lowest 6-dimensional $σ$-model approximaton.
The equations of motion (e.m.'s) of the N=1, D=10 anomaly free supergravity, obtained in the framework of the superspace approach, are analyzed. The formal equivalence of the usual and dual supergravities is discussed at the level of e.m.'s. The great simplicity of the dual formulation is established. The possibillity of the lagrangian formulation of the dual supergravity is pointed out. The bosonic part of the lagrangian is constructed including anomaly compensating superstring corrections.
"GRAMA" is a Mathematica package for doing symbolic tensor computations and complicated algebraic manipulations in 10-dimensional (D=10) simple (N=1) supergravity. The main new ingredients of this package inside the general Mathematica environment are the computation of complicated products of Dirac matrices and the treatment of covariant derivatives: spinorial and vectorial. In principle, with small modifications, GRAMA can also be used for calculations in 4-dimensional supergravity. With the help of this package we were able to obtain the equations of motion and the Lagrangian for the 10-D supergravity including superstring corrections (see hep-th/9507033) - a calculation that would be otherwise impossible to perform. "GRAMA" is designed as a community- and user-friendly program.
The lagrangian of the N=1, D=10 dual supergravity interacting with the Yang-Mills matter multiplet is constructed starting immediately from the equations of motion obtained from the Bianchi Identities in the superspace approach. The difference is established in comparison with the Gates-Nishino lagrangian at the fourth order level in fermionic fields.
The dual version of the D=10 N=1 supergravity (SUGRA) is considered in the superspace approach. The superstring (anomaly compensating) corrections are described by the 3-form superfield $A_{abc}$ . The complete set of dynamical equations for the $A$-field and for physical fields of the theory are presented. The solution of the $A$-field equations as a finite order polynomial in terms of curvature and graviphoton superfields is given. It makes possible to incorporate some of the superstring corrections in the dual supergravity in the explicit, supersymmetric and closed form.