Local Heterotic Torsional Models

Fu, Jixiang; Tseng, Li-Sheng; Yau, Shing–Tung

doi:10.1007/s00220-009-0789-1

Cited by 61 publications

(71 citation statements)

References 23 publications

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“…It corresponds to the resolution of C 2 /Z 2 , where the singular point is replaced by a two-sphere. A similar solution has been recently discussed in [8] in the heterotic framework.…”

Section: The Eguchi-hanson Solutionsupporting

confidence: 66%

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New families of interpolating type IIB backgrounds

Minasian

Petrini

Zaffaroni

2010

J. High Energ. Phys.

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Abstract:We construct new families of interpolating two-parameter solutions of type IIB supergravity. These correspond to D3-D5 systems on non-compact six-dimensional manifolds which are T 2 fibrations over Eguchi-Hanson and multi-center Taub-NUT spaces, respectively. One end of the interpolation corresponds to a solution with only D5 branes and vanishing NS three-form flux. A topology changing transition occurs at the other end, where the internal space becomes a direct product of the four-dimensional surface and the two-torus and the complexified NS-RR three-form flux becomes imaginary self-dual. Depending on the choice of the connections on the torus fibre, the interpolating family has either N = 2 or N = 1 supersymmetry. In the N = 2 case it can be shown that the solutions are regular.

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“…It corresponds to the resolution of C 2 /Z 2 , where the singular point is replaced by a two-sphere. A similar solution has been recently discussed in [8] in the heterotic framework.…”

Section: The Eguchi-hanson Solutionsupporting

confidence: 66%

“…The construction of [7] is local, and one has to ensure that the Bianchi identities are satisfied. For the holomorphic T 2 fibrations over Eguchi-Hanson space, the solution of the Bianchi identity has been given in [8] for the heterotic string. For this special case, we shall heavily rely on the analysis there.…”

Section: Jhep04(2010)080mentioning

confidence: 99%

New families of interpolating type IIB backgrounds

Minasian

Petrini

Zaffaroni

2010

J. High Energ. Phys.

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“…If we put φ 1 (τ ) = φ 2 (τ ) ≡ 0 at this κ value, the remaining function is governed by the rotationally symmetric potential 21) admitting the kink solution (4.22) which interpolates between antipodal type C critical points via point B, …”

Section: Some Solutionsmentioning

confidence: 99%

Yang-Mills instantons and dyons on homogeneous G 2-manifolds

Bauer

Иванова²,

Lechtenfeld

et al. 2010

J. High Energ. Phys.

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We consider LieG-valued Yang-Mills fields on the space R×G/H, where G/H is a compact nearly Kähler six-dimensional homogeneous space, and the manifold R×G/H carries a G 2 -structure. After imposing a general G-invariance condition, Yang-Mills theory with torsion on R×G/H is reduced to Newtonian mechanics of a particle moving in R 6 , R 4 or R 2 under the influence of an inverted double-well-type potential for the cases G/H = SU(3)/U(1)×U(1), Sp(2)/Sp(1)×U (1) or G 2 /SU (3), respectively. We analyze all critical points and present analytical and numerical kink-and bounce-type solutions, which yield G-invariant instanton configurations on those cosets. Periodic solutions on S 1 ×G/H and dyons on iR×G/H are also given.

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“…Later, more non-Kähler solutions were found, especially on nilmanifolds, see [FIUV09], [Gra11] and the references therein. Some local models were studied in [FTY09].…”

Section: Introductionmentioning

confidence: 99%