World-volume effective action of exotic five-brane in M-theory

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: Jhep03(2018)111mentioning

confidence: 99%

Five-brane actions in double field theory

Blair¹,

Musaev²

2018

“…The heterotic 5 2 2 -brane is expected to be a source of the non-geometric flux or mixed-symmetric tensor and they are in the T-duality multiplets in lower-dimensions [64]. It is also interesting to study the world-volume effective action for the non-geometric branes [65][66][67] in heterotic theory. We will come back to these issues in future studies.…”

Section: Jhep11(2016)064 5 Conclusion and Discussionmentioning

confidence: 99%

Non-geometric five-branes in heterotic supergravity

Sasaki

Yata

2016

Self Cite

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.

“…It is known that their geometries receive string winding mode corrections that cannot be traced in the framework of supergravity [12,13,14]. Beyond the investigation of the stringy corrections to the KKmonopole, people developed many formulations in various fields such as supergravity and superstrings [15,16,17,18], worldvolume theory [19,20,21,22], (non)geometric fluxes [23,24,25], double field theory (DFT) [26,27,28,29,30], N = (4, 4) gauged linear sigma model (GLSM) [31,13,32,33], and many others. Quite recently, all of the exotic branes of codimension two, one and zero are completely classified by virtue of string dualities [34,35].…”

Section: Introductionmentioning

confidence: 99%

Semi-doubled gauged linear sigma model for five-branes of codimension two

Kimura

Sasaki

Shiozawa

2018

Self Cite

We establish a double dualization in two-dimensional supersymmetric gauge theory. We construct a gauged linear sigma model (GLSM) which contains a complex twisted linear superfield coupled to two sets of Abelian vector superfields. In the IR regime, the GLSM provides a string sigma model whose target spaces are a defect NS5-brane, a Kaluza-Klein vortex and an exotic 5 2 2brane. All of them are five-branes of codimension two and are related by T-duality. This model is a natural extension of the GLSM proposed by Tong which gives a sigma model for an H-monopole, i.e., a smeared NS5-brane of codimension three. This is also regarded as an alternative system of the GLSM for exotic five-branes proposed by the present authors. In this analysis, we confirm that the T-duality transformation procedure in terms of the complex twisted linear superfield is applicable to dualize both the real and imaginary parts of the twisted chiral superfield even at the UV level, beyond the IR limit. This indicates that the T-duality transformations at finite gauge couplings can be performed in terms of reducible superfields in the same way as irreducible (twisted) chiral superfields. Furthermore, we study quantum vortex corrections to the GLSM at the UV level. In the IR limit, these corrections are mapped to string worldsheet instanton corrections to the five-branes of codimension two. The result completely agrees with those in double field theory analysis.