Nonassociative gravity in string theory?
By Ralph Blumenhagen, Erik Plauschinn. 2010
169 citations recorded by the source corpus.
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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/dd99b9921e4a75ff6947553a944fbd75159d2555
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Citations in the corpus
- Duality Symmetric String and M-Theory (2013, background): “Space limitations prevent us discussing in any detail a number of developments related to the contents of this chapter including21: the structure of large (finite) DFT gauge transformations [194, 195], the the matrix theory perspective of non-geometric fluxes [196, 197]; further perspectives on non-”
- A ten-dimensional action for non-geometric fluxes (2011, background): “Furthermore, an interesting relation between non-geometrical fluxes and noncommutative and non-associative closed string geometry was discovered recently [9, 10, 11], see also [12] and references therein.”
- Asymmetric orbifolds, non-geometric fluxes and non-commutativity in closed string theory (2012, background): “(2)A notable exception is [6], where the authors consider the solvable SU(2)k WZW background, which is indeed exact to all orders in α.”
- Large gauge transformations in double field theory (2012, background): “In this respect we note that recently there have been proposals that in string theory there is a plausible role for string coordinates that are non-commutative or even non-associative [38–41], and it would be interesting to investigate if the unconventional group structure encountered here can be na”
- T-duality and closed string non-commutative (doubled) geometry (2010, background): “Plauschinn for informing me about their paper [42] prior to publication.”
- Non‐geometric fluxes in supergravity and double field theory (2012, methodology): “The corresponding closed string background becomes non-associative, as discussed in [87] in the context of the SUp2q Wess– Zumino–Witten model, and investigated in [89] by the computation of conformal field theory amplitudes in the chain of T-dual H, f, Q, R-backgrounds leading to a non-associative ”
- Double field theory: a pedagogical review (2013, background): “However, it has been argued that in presence of non-geometric fluxes, the coordinates of closed strings can become non-commutative or even non-associative [112, 113, 109].”
- Membrane sigma-models and quantization of non-geometric flux backgrounds (2012, background): “20) of fields in the nonassociative R-flux background as in [8, 11].”
- The spacetime of double field theory: Review, remarks, and outlook (2013, unknown): “[38, 49–52]).”