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GRAMA. A Mathematica program for analytical calculations in 10-dimensional supergravity. Version 1.0

高能物理 - 理论 2008-02-03 v2

摘要

"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.

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引用

@article{arxiv.hep-th/9508138,
  title  = {GRAMA. A Mathematica program for analytical calculations in 10-dimensional supergravity. Version 1.0},
  author = {N. A. Saulina and E. M. Terentjev and M. V. Terentiev},
  journal= {arXiv preprint arXiv:hep-th/9508138},
  year   = {2008}
}

备注

GRAMA user-manual and basic algorithms (LaTeX, 14 pages); Mathematica script for the GRAMA package: files progr-a.ma, progr-b.ma, progr-c.ma, progr-id.ma - 125 Kb total