Operator product expansion of the energy momentum tensor in 2D conformal field theories on manifolds with boundary

Details Operator product expansion of the energy momentum tensor in 2D conformal field theories on manifolds with boundary Operator product expansion of the energy momentum tensor in 2D conformal field theories on manifolds with boundary

1993-09-14

arxiv.org/abs/hep-th/9309079v1

Phys.Lett. B321 (1994) 355-360

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex, HU Berlin-IEP-93/4

Scientific paper

10.1016/0370-2693(94)90256-9

Starting from the well-known expression for the trace anomaly we derive the $T\cdot T$ operator product expansion of the energy-momentum tensor in 2D conformal theories defined in the upper halfplane $without$ making use of the additional condition of no energy-momentum flux across the boundary. The OPE turns out to be the same as in the absence of the boundary. For this result it is crucial that the trace anomaly is proportional to the Gau\ss-Bonnet density. Some relations to the $\sigma$ - model approach for open strings are discussed.

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