2.11 Axiomatic CFT

Main reviews are ^[1].The full nonlinear worldline structure of Yang-Mills theory was recently understood ^[2]. For a massive spin 1 theory, see ^[3]. Target space SUSY is discussed in ^[4]. For perturbative 1D gravity, see ^[5]. Also see ^[6] for decretized 1D quantum gravity.

``Given this state of affairs one might hope that the world line could also play a role in describing the coupling of RR-background fields once Ramond states can be successfully implemented in it. This is the purpose of this note. Since bosonization is not available on the world line and neither is the operator product expansion it is not, a priory, clear how to construct the analog of spin fields on the world line. What does carry over from the world sheet to the world line, are equal time commutators, via contour integrals, which contains much less information, making it harder to guess what the “resolution” of the world line fermion should be.” From ^[7].

Orbifolds

^[8]

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