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  How are symplectic forms used in string theory?

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Sämann and Szabo in "Groupoids, Loop Spaces and Quantization of 2-Plectic Manifolds" (https://arxiv.org/pdf/1211.0395.pdf) show that one can transgress a 2-plectic form on some manifold to a symplectic form on the knot space, which is (a restriction of) "the configuration space of a bosonic string sigma-model on $S^1 \times \mathbb{R}$ with target space $M$."

Szabo in another article (https://arxiv.org/pdf/1903.05673.pdf) writes that "In higher geometry it is well-known that the nonassociativity features of a gerbe on M can be traded for more conventional noncommutative features of a line bundle on the loop space... [the mapping] has a natural interpretation of trading particle degrees of freedom for closed string degrees of freedom"

I have no background in string theory, so I am not sure how transgression techniques are used from a physics standpoint: When one transgresses a 2-plectic (or n-plectic) form to a symplectic (or (n-1)-plectic) form on loop/knot space, what significance does the latter form have in string theory? How is it used?

Any references on the topic are welcome.

asked May 16 in Theoretical Physics by QuantumGhost (85 points) [ no revision ]

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