Rotating string in doubled geometry with generalized isometries

Kikuchi, Toru; Okada, Takashi; Sakatani, Yuho

doi:10.48550/arxiv.1205.5549

Cited by 28 publications

(75 citation statements)

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“…Originally this has no isometry along three of four real scalar fields, which represent the transverse directions of the H-monopoles in ten-dimensional string theory. However, smearing the directions without isometry discussed in [49,1,2,50,51,6,14], we can geometrically perform T-duality consistent with the Buscher rule [52]. In order to argue the same physical situation, it is better to replace the complex (twisted) linear superfields with certain alternatives given by irreducible superfields.…”

Section: Twisted Chiral Superfields With Twisted F-termmentioning

confidence: 99%

“…Before doing this, we should keep in mind that the functions (H, Ω i ) depend on the field r 2 . In order to construct an isometry along the field r 2 (and its dual σ 2+ ), we perform the smearing procedure and make (H, Ω i ) independent of r 2 [49,2,50,51,6,14].…”

Section: Kk-monopolesmentioning

confidence: 99%

“…The exotic brane is of codimension less than three, and its tension is often stronger than those of ordinary branes. These days the exotic branes have been exhaustively investigated in the framework of supergravity theories [5,6,7,8,9,10,11,12], string worldsheet theories [13,14,15,16,17,18,19], worldvolume theories [20,21,22,23,24,25], extended geometries such as doubled sigma model and double field theory [26,27,28,29,30,31,32,33,34,35,36], β-supergravity and its extension [37,38,39], and other huge number of related works 1 .…”

Section: Introductionmentioning

confidence: 99%

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Semi-doubled sigma models for five-branes

Kimura

2016

J. High Energ. Phys.

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We study two-dimensional N = (2, 2) gauge theory and its dualized system in terms of complex (linear) superfields and their alternatives. Although this technique itself is not new, we can obtain a new model, the so-called "semi-doubled" GLSM. Similar to doubled sigma model, this involves both the original and dual degrees of freedom simultaneously, whilst the latter only contribute to the system via topological interactions. Applying this to the N = (4, 4) GLSM for H-monopoles, i.e., smeared NS5-branes, we obtain its Tdualized systems in quite an easy way. As a bonus, we also obtain the semi-doubled GLSM for an exotic 5 3 2 -brane whose background is locally nongeometric. In the low energy limit, we construct the semi-doubled NLSM which also generates the conventional string worldsheet sigma models. In the case of the NLSM for 5 3 2 -brane, however, we find that the Dirac monopole equation does not make sense any more because the physical information is absorbed into the divergent part via the smearing procedure. This is nothing but the signal which indicates that the nongeometric feature emerges in the considering model.

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Section: Twisted Chiral Superfields With Twisted F-termmentioning

confidence: 99%

Section: Kk-monopolesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Semi-doubled sigma models for five-branes

Kimura

2016

J. High Energ. Phys.

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“…This object comes from an NS5-brane via the Tduality along two transverse directions of it. The transverse space has the SO(2, 2; Z) = SL(2, Z) × SL(2, Z) monodromy structure which originates from the T-duality [5,9,10,11,12,13]. This nontrivial monodromy structure often prevents us from analyzing excitations of the 5 2 2 -brane.…”

Section: Introductionmentioning

confidence: 99%

Supersymmetry projection rules on exotic branes

Kimura

2016

Prog. Theor. Exp. Phys.

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“…Notice that the single 5 2 2 -brane is not well-defined as a stand-alone object[42]. In order to discuss the globally well-defined structure of the system, we should incorporate two additional branes[43].…”

mentioning

confidence: 99%

Hyperkähler, Bi-hypercomplex, Generalized Hyperkähler Structures and T-duality

Kimura,

Sasaki,

Shiozawa

2022

Preprint

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We exploit the doubled formalism to study comprehensive relations among T-duality, complex and bi-hermitian structures (J + , J − ) in two-dimensional N = (2, 2) sigma models with/without twisted chiral multiplets. The bi-hermitian structures (J + , J − ) embedded in generalized Kähler structures (J + , J − ) are organized into the algebra of the tri-complex numbers. We write down an analogue of the Buscher rule by which the T-duality transformation of the bi-hermitian and Kähler structures are apparent. We also study the bi-hypercomplex and hyperkähler cases in N = (4, 4) theories. They are expressed, as a T-duality covariant fashion, in the generalized hyperkähler structures and form the splitbi-quaternion algebras. As a concrete example, we show the explicit T-duality relation between the hyperkähler structures of the KK-monopole (Taub-NUT space) and the bihypercomplex structures of the H-monopole (smeared NS5-brane). Utilizing this result, we comment on a T-duality relation for the worldsheet instantons in these geometries.a t-kimura(at)osakac.ac.jp b shin-s(at)kitasato-u.ac.jp c k.shiozawa(at)sci.kitasato-u.ac.jp

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Rotating string in doubled geometry with generalized isometries

Cited by 28 publications

References 0 publications

Semi-doubled sigma models for five-branes

Semi-doubled sigma models for five-branes

Supersymmetry projection rules on exotic branes

Hyperkähler, Bi-hypercomplex, Generalized Hyperkähler Structures and T-duality

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