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arXiv · 1903.05581

Open-String Non-Associativity in an R-flux Background

Dieter Lust·Emanuel Malek·Erik Plauschinn·Marc Syvari
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Abstract

We derive the commutation relations for open-string coordinates on D-branes in non-geometric background spaces. Starting from D0-branes on a three-dimensional torus with H-flux, we show that open strings with end points on D3-branes in a three-dimensional R-flux background exhibit a non-associative phase-space algebra, which is similar to the non-associative R-flux algebra of closed strings. Therefore, the effective open-string gauge theory on the D3-branes is expected to be a non-associative gauge theory. We also point out differences between the non-associative phase space structure of open and closed strings in non-geometric backgrounds, which are related to the different structure of the world-sheet commutators of open and closed strings.

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Dieter Lust, Emanuel Malek, Erik Plauschinn, Marc Syvari. 2019-03-13. Open-String Non-Associativity in an R-flux Background. https://doi.org/10.1007/jhep05(2020)157

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