Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory

Kimura, Takeyoshi; Sasaki, Shin; Shiozawa, Kenta

doi:10.1088/1742-6596/1416/1/012017

Cited by 4 publications

(19 citation statements)

References 81 publications

(163 reference statements)

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“…After we discuss the Abrikosov-Nielsen-Olesen (ANO) vortex corrections, we find that they are mapped to the worldsheet instanton corrections to the background configurations of the defect five-branes. This analysis confirms the investigation in the framework of DFT in [41]. Section 7 is devoted to the conclusion and discussions.…”

Section: Introductionsupporting

confidence: 81%

“…The corrections will correspond to stringy corrections to the above configurations. Some of them have already discussed in [31,13,32,14], and the other is discussed in [41].…”

Section: Semi-doubled Glsm For Five-branes Of Codimension Twomentioning

confidence: 99%

“…Recently, we explicitly obtained the string worldsheet instanton corrections along the two-torus in the DFT framework [41]. In there we studied the corrections to the 5 2 2 -brane geometry that come from the string winding modes in the two-torus T 2 .…”

Section: Introductionmentioning

confidence: 99%

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

Kimura

Sasaki

Shiozawa

2018

J. High Energ. Phys.

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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.

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Section: Introductionsupporting

confidence: 81%

“…The corrections will correspond to stringy corrections to the above configurations. Some of them have already discussed in [31,13,32,14], and the other is discussed in [41].…”

Section: Semi-doubled Glsm For Five-branes Of Codimension Twomentioning

confidence: 99%

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

Kimura

Sasaki

Shiozawa

2018

J. High Energ. Phys.

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“…Namely, they live in the winding space defined by x µ = const. We note that this kind of winding dependent space-time actually appears in solutions to DFT [32].…”

Section: Gauge Symmetries Foliations and Generalized Geometrymentioning

confidence: 74%

“…The doubled structure discussed in this paper would provide a mathematical foundation towards the coquecigrue problem for gauge symmetry in DFT. We believe that revealing a geometric origin of DFT gauge symmetry is important to understand the stringy winding effects to spacetimes [32,[51][52][53][54]. We will come back to these issues in future works.…”

Section: Conclusion and Discussionmentioning

confidence: 91%

Doubled aspects of Vaisman algebroid and gauge symmetry in double field theory

Mori

Sasaki

Shiozawa

2020

Journal of Mathematical Physics

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The metric algebroid proposed by Vaisman (the Vaisman algebroid) governs the gauge symmetry algebra generated by the C-bracket in double field theory (DFT). We show that the Vaisman algebroid is obtained by an analogue of the Drinfel'd double of Lie algebroids. Based on a geometric realization of doubled space-time as a para-Hermitian manifold, we examine exterior algebras and a para-Dolbeault cohomology on DFT and discuss the structure of the Drinfel'd double behind the DFT gauge symmetry. Similar to the Courant algebroid in the generalized geometry, Lagrangian subbundles (L,L) in a para-Hermitian manifold play Dirac-like structures in the Vaisman algebroid. We find that an algebraic origin of the strong constraint in DFT is traced back to the compatibility condition needed for (L,L) be a Lie bialgebroid. The analysis provides a foundation toward the "coquecigrue problem" for the gauge symmetry in DFT.

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Weaving the exotic web

Fernandez-Melgarejo

Kimura

Sakatani

2018

J. High Energ. Phys.

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String and M-theory contain a family of branes forming U -duality multiplets. In particular, standard branes with codimension higher than or equal to two, can be explicitly found as supergravity solutions. However, whether domain-wall branes and space-filling branes can be found as supergravity solutions is still unclear. In this paper, we firstly provide a full list of exotic branes in type II string theory or M-theory compactified to three or higher dimensions. We show how to systematically obtain backgrounds of exotic domain-wall branes and space-filling branes as solutions of the double field theory or the exceptional field theory. Such solutions explicitly depend on the winding coordinates and cannot be given as solutions of the conventional supergravity theories. However, as the domain-wall solutions depend linearly on the winding coordinates, we describe them as solutions of deformed supergravities such as the Romans massive IIA supergravity or lower-dimensional gauged supergravities. We establish explicit relations among the domain-wall branes, the mixed-symmetry potentials, the locally non-geometric fluxes, and deformed supergravities. *

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Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory

Cited by 4 publications

References 81 publications

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

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

Doubled aspects of Vaisman algebroid and gauge symmetry in double field theory

Weaving the exotic web

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