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In this note we study fermionic zero modes in gauge and gravity backgrounds taking a two dimensional compact manifold $T^2$ as extra dimensions. The result is that there exist massless Dirac fermions which have normalizable zero modes under…

High Energy Physics - Theory · Physics 2010-11-11 Yi-Shi Duan , Yu-Xiao Liu , Yong-Qiang Wang

We show that Dirac fermions moving in two spatial dimensions with a generalized dispersion $E\sim p^N$, subject to an external magnetic field and coupled to a complex scalar field carrying a vortex defect with winding number $Q$ acquire…

Mesoscale and Nanoscale Physics · Physics 2014-07-21 Chi-Ken Lu , Babak Seradjeh

We study the fermion zero-mode dynamics for open strings ending on the giant graviton branes. For the open string ending on the Z=0 brane, the quantization of the fermion zero-modes of boundary giant magnons reproduces the 256 states of the…

High Energy Physics - Theory · Physics 2009-02-20 Dongsu Bak

In a recent work, a model has been proposed where a brane is made of a scalar field with bounce-type configurations and embedded in a bulk with a string-like metric. This model produces an AdS scenario where the components of the energy…

High Energy Physics - Theory · Physics 2014-03-03 L. J. S. Sousa , C. A. S. Silva , D. M. Dantas , C. A. S. Almeida

We discuss fermionic zero modes in the two-dimensional chiral p-wave superconductors. We show quite generally, that without fine-tuning, in a macroscopic sample there is only one or zero of such Majorana-fermion modes depending only on…

Superconductivity · Physics 2007-07-03 V. Gurarie , L. Radzihovsky

In this paper, by presenting the potentials of Kaluza-Klein (KK) modes in the corresponding Schr\"{o}dinger equations, we investigate the localization and resonances of gravity and fermion on the symmetric and asymmetric Bloch {branes}. We…

High Energy Physics - Theory · Physics 2013-11-18 Qun-Ying Xie , Jie Yang , Li Zhao

We consider the brane-localized supersymmetry breaking in 5D compactified on $S^1/Z_2$. In case of a bulk gaugino with arbitrary brane masses for its even and odd modes, we find the mass spectrum and the wave functions of gaugino. We show…

High Energy Physics - Theory · Physics 2010-04-05 Ki-Young Choi , Hyun Min Lee

We introduce new realistic brane-solutions with exponential scale factors in the 6D-space-time. We show that for these solutions the zero modes of all bulk fields are sharply localized at different positions on the brane and have "Gaussian…

High Energy Physics - Theory · Physics 2009-11-10 P. Midodashvili

In this paper we investigate the localization of fermions on asymmetric thick branes generated by two scalars $\phi$ and $\chi$. In order to trap fermions on the asymmetric branes with kink-like warp factors, the couplings with the…

High Energy Physics - Theory · Physics 2014-11-20 Zhen-Hua Zhao , Yu-Xiao Liu , Hai-Tao Li

We discuss fermion zero modes within the 3+1 brain -- the domain wall between the two vacua in 4+1 spacetime. We do not assume relativistic invariance in 4+1 spacetime, or any special form of the 4+1 action. The only input is that the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. E. Volovik

A general condition for the existence of fermion zero modes is derived for the M-5-brane, the M-2-brane and the D=4, N=2 Majumdar-Papapetrou 0-brane. The fermion zero modes of these p-branes do not exist if the supersymmetry spinor…

High Energy Physics - Theory · Physics 2007-05-23 K. Z. Win

We address the localization of a scalar field, whose bulk-mass M is considered in a wide range including the tachyonic region,on a three-brane. The brane with non-zero cosmological constant $\lambda$ is embedded in five dimensional bulk…

High Energy Physics - Theory · Physics 2009-11-07 Kazuo Ghoroku , Masanobu Yahiro

We consider chiral fermion confinement in scalar thick branes, which are known to localize gravity, coupled through a Yukawa term. The conditions for the confinement and their behavior in the thin-wall limit are found for various different…

High Energy Physics - Theory · Physics 2008-11-26 Alejandra Melfo , Nelson Pantoja , Jose David Tempo

We study a thick and Z_2 symmetric braneworld model with a non-minimally coupled bulk scalar. Several analytic solutions are found. There are two categories of the brane configuration: standard branes and deformed ones. The former is just…

High Energy Physics - Theory · Physics 2012-08-03 Yu-Xiao Liu , Feng-Wei Chen , Heng-Guo , Xiang-Nan Zhou

In the present paper we examine, from the purely theoretical point of view and in a model-independent way, the case, when matter, gauge and Higgs fields are allowed to propagate in the bulk of five-dimensional brane world models with…

High Energy Physics - Theory · Physics 2016-02-09 Mikhail N. Smolyakov , Igor P. Volobuev

The localization of metric fluctuations on scalar brane configurations breaking spontaneously five-dimensional Poincar\'e invariance is discussed. Assuming that the four-dimensional Planck mass is finite and that the geometry is regular, it…

High Energy Physics - Theory · Physics 2009-11-07 Massimo Giovannini

The formation of a thick brane in five-dimen\-sional space-time is investigated when warp geometries of $AdS_5$ type are induced by scalar matter dynamics and triggered by a thin-brane defect. The scalar matter is taken to consist of two…

High Energy Physics - Theory · Physics 2013-12-13 Alexander A. Andrianov , Vladimir A. Andrianov , Oleg O. Novikov

Zero and normal modes for scalar and spinor fields in Kerr-anti de Sitter spacetime are studied as bound state problem with Dirichlet and Neumann boundary conditions. Zero mode is defined as the momentum near the horizon to be zero: $p_{\rm…

General Relativity and Quantum Cosmology · Physics 2024-06-03 Masakatsu Kenmoku , Yongmin Cho , Kazuyasu Shigemoto , Jong Hyuk Yoon

The spectrum of a massless bulk scalar field \Phi, with a possible interaction term of the form -\xi R \Phi^{2}, is investigated in the case of RS-geometry [1]. We show that the zero mode for \xi=0, turns into a tachyon mode, in the case of…

High Energy Physics - Theory · Physics 2009-11-11 K. Farakos , P. Pasipoularides

We generalize the Callan-Harvey mechanism to the case of actions with a non local mass term for the fermions. Using a 2+1-dimensional model as a concrete example, we show that both the existence and properties of localized zero modes can…

High Energy Physics - Theory · Physics 2009-11-11 C. D. Fosco , G. Torroba