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Nonassociative Gravity in String Theory?

In an on-shell conformal field theory approach, we find indications of a three-bracket structure for target space coordinates in general closed string backgrounds. This generalizes the appearance of noncommutative gauge theories for open strings in two-form backgrounds to a putative noncommutative/nonassociative gravity theory for closed strings probing curved backgrounds with non-vanishing three-form flux. Several aspects and consequences of the three-bracket structure are discussed and a new type of generalized uncertainty principle is proposed.

preprint2010arXivOpen access
Ralph BlumenhagenErik Plauschinn
math-phmath.MPgr-qchep-th
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Ralph BlumenhagenErik Plauschinn

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