Magnetized orbifolds and localized flux

Buchmüller, W.; Dierigl, Markus; Tatsuta, Yoshiyuki

doi:10.1016/j.aop.2018.12.006

Cited by 12 publications

(21 citation statements)

References 47 publications

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“…This observation may explain the second term −V η =N in (4.71). If the winding number χ i is nonvanishing at the fixed point p i , it implies the presence of localized flux at the fixed point [31,32]. That would lead to the second term −V η =N, because the removal of all the fixed points means the subtraction of the localized fluxes at the fixed points from (5.2).…”

Section: Discussionmentioning

confidence: 99%

“…By computing Wilson loops around the fixed points, one finds that, in general, there exist the nonzero contributions of the localized fluxes on the orbifolds [31]. Then, taking into account all the localized fluxes, it can be confirmed that the flux quantization condition (2.10) is available on T 2 =Z N as well [32].…”

Section: A Abelian Six-dimensional Gauge Theorymentioning

confidence: 91%

“…In [31,32], connecting Wilson loops with localized fluxes at T 2 =Z 2 fixed points, the zero points of zero modes at the fixed points have been classified systematically. In this subsection, we briefly review the zeros on T 2 =Z 2 .…”

Section: Analysis Of Zero Pointsmentioning

confidence: 99%

“…To evaluate the winding numbers χ i at the fixed points p i (i ¼ 1, 2, 3), all we should do is to utilize the above relations three times repeatedly. Then, taking C i to be a sufficiently small contour around p i for each i, we obtain (i ¼ 1, 2, 3, 4) (see also [32]). All the values of ðM − V η Þ=2 þ 1 exactly agree with the numbers n η of the Z 2 physical zero modes given in Table I.…”

Section: B T 2 =Zmentioning

confidence: 99%

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Zero-mode counting formula and zeros in orbifold compactifications

2020

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We thoroughly analyze the number of independent zero modes and their zero points on the toroidal orbifold T 2 =Z N ðN ¼ 2; 3; 4; 6Þ with magnetic flux background, inspired by the Atiyah-Singer index theorem. We first show a complete list for the number n η of orbifold zero modes belonging to Z N eigenvalue η. Since it turns out that n η quite complicatedly depends on the flux quanta M, the Scherk-Schwarz twist phase ðα 1 ; α 2 Þ, and the Z N eigenvalue η, it seems hard that n η can be universally explained in a simple formula. We, however, succeed in finding a single zero-mode counting formula n η ¼ ðM − V η Þ=N þ 1, where V η denotes the sum of winding numbers at the fixed points on the orbifold T 2 =Z N. The formula is shown to hold for any pattern.

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Section: Discussionmentioning

confidence: 99%

Section: A Abelian Six-dimensional Gauge Theorymentioning

confidence: 91%

Section: Analysis Of Zero Pointsmentioning

confidence: 99%

Section: B T 2 =Zmentioning

confidence: 99%

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Zero-mode counting formula and zeros in orbifold compactifications

2020

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“…In the same manner as Refs. [35,36,37], it is possible in principle to formulate localized fluxes in terms of the Green function. It gives non-trivial Wilson-loop around the singularity, which can contribute to total flux density and an appropriate way of the Dirac charge quantization in full setup.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Wavefunctions on S2 with flux and branes

Imai

Tatsuta

2019

J. High Energ. Phys.

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We formulate a six dimensional U (1) gauge theory compactified on a (two dimensional) sphere S 2 with flux and localized brane sources. Profiles of the lowest Kaluza-Klein (KK) wavefunctions and their masses are derived analytically. In contrast to ordinary sphere compactifications, the above setup can lead to the degeneracy of and the sharp localizations of the linearly independent lowest KK modes, depending on the number of branes and their tensions. Moreover, it can naturally accommodate CP violation in Yukawa interactions. *

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Tachyon condensation in magnetic compactifications

Buchmüller

Dudas

Tatsuta

2021

J. High Energ. Phys.

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Intersecting D-brane models and their T-dual magnetic compactifications provide an attractive framework for particle physics, allowing for chiral fermions and supersymmetry breaking. Generically, magnetic compactifications have tachyons that are usually removed by Wilson lines. However, quantum corrections prevent local minima for Wilson lines. We therefore study tachyon condensation in the simplest case, the magnetic compactification of type I string theory on a torus to eight dimensions. We find that tachyon condensation restores supersymmetry, which is broken by the magnetic flux, and we compute the Kaluza-Klein mass spectrum. The gauge group SO(32) is broken to USp(16). We give arguments that the vacuum reached by tachyon condensation corresponds to the unique 8d superstring theory already known in the literature, with discrete Bab background or, in the T-dual version, the type IIB orientifold with three O7−-planes, one O7+-plane and eight D7-branes coincident with the O7+-plane. The ground state after tachyon condensation is supersymmetric and has no chiral fermions.

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Magnetized orbifolds and localized flux

Cited by 12 publications

References 47 publications

Zero-mode counting formula and zeros in orbifold compactifications

Zero-mode counting formula and zeros in orbifold compactifications

Wavefunctions on S2 with flux and branes

Tachyon condensation in magnetic compactifications

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