Introduction to SH Lie algebras for physicists - INSPIRE

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Introduction to SH Lie algebras for physicists

Tom Lada
(
- North Carolina U.
)
,
Jim Stasheff
(
- North Carolina U.
)

Sep, 1992

14 pages

Published in:

Int.J.Theor.Phys. 32 (1993) 1087-1104

e-Print:

hep-th/9209099 [hep-th]

DOI:

10.1007/BF00671791

Report number:

UNC-MATH-92-2

View in:

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Abstract:

Closed string field theory leads to a generalization of Lie algebra which arose naturally within mathematics in the study of deformations of algebraic structures. It also appeared in work on higher spin particles \cite{BBvD}. Representation theoretic analogs arose in the mathematical analysis of the Batalin-Fradkin-Vilkovisky approach to constrained Hamiltonians. A major goal of this paper is to see the relevant formulas, especially in closed string field theory, as a generalization of those for a differential graded Lie algebra, hopefully describing the mathematical essentials in terms accessible to {\it physicists}.

Note:

Revised version

review
algebra: Lie
operator: Becchi-Rouet-Stora
cohomology
n-point function
bibliography

References(27)

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