Conditions of Weyl Invariance of Two-dimensional $\sigma$ Model From Equations of Stationarity of 'Central Charge' Action

Tseytlin, Arkady A.

doi:10.1016/0370-2693(87)90770-2

Conditions of Weyl Invariance of Two-dimensional $\sigma$ Model From Equations of Stationarity of 'Central Charge' Action

Arkady A. Tseytlin
(
- Lebedev Inst.
)

Mar, 1987

11 pages

Published in:

Phys.Lett.B 194 (1987) 63

DOI:

10.1016/0370-2693(87)90770-2

Report number:

Print-87-0397 (LEBEDEV INST)

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Abstract: (Elsevier)

Generalizing the “c-theorem” of Zamolodchikov to the case of the bosonic σ -model with the dilaton coupling we prove that the conditions of its Weyl invariance (presumably equivalent to the tree-level Bose string equations of motion) can be derived as equations of motion from some action. A simple expression for the action is found.

FIELD THEORETICAL MODEL: SIGMA
NONLINEAR
FIELD THEORY: TWO-DIMENSIONAL
FIELD THEORY: ACTION
FIELD THEORY: DILATON
FIELD THEORY: PATH INTEGRAL
FIELD THEORY: SPACE-TIME
INVARIANCE: WEYL

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