Branes are waves and monopoles

Abstract:We construct an action for NSNS 5-branes which is manifestly covariant under O(d, d). This is done by doubling d of the spacetime coordinates which appear in the worldvolume action. By formulating the DBI part of the action in a manner similar to a "gauged sigma model", only half the doubled coordinates genuinely appear. Our approach allows one to describe the full T-duality orbit of the IIB NS5 brane, the IIA KKM and their exotic relations in one formalism. Furthermore, by using ideas from double field theory, our action can be said to describe various aspects of non-geometric five-branes.

Section: Discussionmentioning

confidence: 99%

Section: Jhep03(2018)111mentioning

confidence: 99%

Five-brane actions in double field theory

Blair¹,

Musaev²

2018

“…More recent applications of the E d × R + generalised geometry can be found in [27,28]. For other extensions and applications of DFT and the extended field theory see [29][30][31] and [32].…”

Section: Jhep09(2015)153mentioning

confidence: 99%

“…where, given (3.3), 32) notice that all indices are denoted by upper case. To fix P (1+248+3875)M A R B we need to know explicitly the projectors to each representation, these are given by [42] …”

Section: Building the E 8 × R + Generalised Transformationmentioning

confidence: 99%

On the exceptional generalised Lie derivative for d ≥ 7

Rosabal

2015

In this work we revisit the E 8 × R + generalised Lie derivative encoding the algebra of diffeomorphisms and gauge transformations of compactifications of M-theory on eight-dimensional manifolds, by extending certain features of the E 7 × R + one. Compared to its E d × R + , d ≤ 7 counterparts, a new term is needed for consistency. However, we find that no compensating parameters need to be introduced, but rather that the new term can be written in terms of the ordinary generalised gauge parameters by means of a connection. This implies that no further degrees of freedom, beyond those of the field content of the E 8 group, are needed to have a well defined theory. We discuss the implications of the structure of the E 8 × R + generalised transformation on the construction of the d = 8 generalised geometry. Finally, we suggest how to lift the generalised Lie derivative to eleven dimensions.

“…We believe that globally well-defined 5 2 2 -brane solutions exist even in heterotic theories. We note that the most tractable way to study the non-geometric nature of string theory solutions is the double field theory construction of supergravity [51,52]. There are several studies about double field theory formulation of heterotic supergravity [53] and the inclusion of α ′ -corrections [54][55][56][57].…”

Section: Jhep11(2016)064 5 Conclusion and Discussionmentioning

confidence: 99%

Non-geometric five-branes in heterotic supergravity

Sasaki

Yata

2016

We study T-duality chains of five-branes in heterotic supergravity where the first order α ′ -corrections are present. By performing the α ′ -corrected T-duality transformations of the heterotic NS5-brane solutions, we obtain the KK5-brane and the exotic 5 2 2 -brane solutions associated with the symmetric, the neutral and the gauge NS5-branes. We find that the Yang-Mills gauge field in these solutions satisfies the self-duality condition in the three-and two-dimensional transverse spaces to the brane world-volumes. The O(2, 2) monodromy structures of the 5 2 2 -brane solutions are investigated by the α ′ -corrected generalized metric. Our analysis shows that the symmetric 5 2 2 -brane solution, which satisfies the standard embedding condition, is a T-fold and it exhibits the non-geometric nature. We also find that the neutral 5 2 2 -brane solution is a T-fold at least at O(α ′ ). On the other hand, the gauge 5 2 2 -brane solution is not a T-fold but show unusual structures of space-time.