Topological mass term in effective Brane-World scenario with torsion

Braga, Nelson R. F.; Ferreira, Cristine Nunes

doi:10.1088/1126-6708/2005/03/039

Cited by 7 publications

(4 citation statements)

References 41 publications

(48 reference statements)

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“…It is interesting to note that in our work we take the antisymmetric background tensor field B µν = 0 for simplicity, but its importance is very well known from the point of view of the (super)string theories where it was first associated with massless modes [41] and, recently, the presence of such a background for the string dynamics has a very important implication in non-commutativity of the spacetime [42], and in many supergravity models [43]. Recently, a careful analysis of the B µν field in a five-dimensional brane-world scenario where it was associated with torsion was made [44]. The result of this analysis showed that it is possible to construct a topological configuration like a static cosmic string on the brane whose formation involves only the zero mode.…”

Section: Discussionmentioning

confidence: 99%

Non-Abelian Born–Infeld action, geometry and supersymmetry

Cirilo-Lombardo¹

2005

Class. Quantum Grav.

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In this work, we propose a new non-abelian generalization of the BornInfeld lagrangian. It is based on a geometrical property of the abelian Born-Infeld lagrangian in its determinantal form. Our goal is to extend the abelian second type Born-Infeld action to the non-abelian form preserving this geometrical property, that permits to compute the generalized volume element as a linear combination of the components of metric and the Yang-Mills energy-momentum tensors. Under BPS-like condition, the action proposed reduces to that of Yang-Mills theory, independently of the gauge group. New instanton-wormhole solution and static and spherically symmetric solution in curved space-time for a SU(2) isotopic ansatz is solved and the N=1 supersymmetric extension of the model is performed.

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Section: Discussionmentioning

confidence: 99%

Non-Abelian Born–Infeld action, geometry and supersymmetry

Cirilo-Lombardo¹

2005

Class. Quantum Grav.

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“…It has been suggested that the detection of cosmic strings could be a possible way to verify the inflationary paradigm, providing an interesting testing ground into string theory by probing the braneworld scenario before the inflationary phase [29][30][31][32]. Many other publications have investigated the effects of braneworld gravity on the physics of cosmic strings [34][35][36][37][38][39]. Specifically in [39], the authors have studied the consequences of the braneworld modified gravity on the cosmic string phenomenology.…”

Section: Introductionmentioning

confidence: 99%

Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string

Bellucci

dos

Mello

et al. 2021

J. High Energ. Phys.

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We investigate the effects of a brane and magnetic-flux-carrying cosmic string on the vacuum expectation value (VEV) of the current density for a charged fermionic field in the background geometry of (4+1)-dimensional anti-de Sitter (AdS) spacetime. The brane is parallel to the AdS boundary and the cosmic string is orthogonal to the brane. Two types of boundary conditions are considered on the brane that include the MIT bag boundary condition and the boundary conditions in Z2-symmetric braneworld models. The brane divides the space into two regions with different properties of the vacuum state. The only nonzero component of the current density is along the azimuthal direction and in both the regions the corresponding VEV is decomposed into the brane- free and brane-induced contributions. The latter vanishes on the string and near the string the total current is dominated by the brane-free part. At large distances from the string and in the region between the brane and AdS horizon the decay of the brane-induced current density, as a function of the proper distance, is power-law for both massless and massive fields. For a massive field this behavior is essentially different from that in the Minkowski bulk. In the region between the brane and AdS boundary the large-distance decay of the current density is exponential. Depending on the boundary condition on the brane, the brane-induced contribution is dominant or subdominant in the total current density at large distances from the string. By using the results for fields realizing two inequivalent irreducible representations of the Clifford algebra, the vacuum current density is investigated in C - and P -symmetric fermionic models. Applications are given for a cosmic string in the Randall-Sundrum-type braneworld model with a single brane.

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“…It has been suggested that the detection of cosmic strings could be a possible way to verify the inflationary paradigm, providing an interesting testing ground into string theory by probing the braneworld scenario before the inflationary phase [29,30,31,32]. Many other publications have investigated the effects of braneworld gravity on the physics of cosmic strings [34,35,36,37,38,39]. Specifically in [39], the authors have studied the consequences of the braneworld modified gravity on the cosmic string phenomenology.…”

Section: Introductionmentioning

confidence: 99%

Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string

Bellucci,

Santos,

de Mello

et al. 2020

Preprint

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We investigate the effects of a brane and magnetic-flux-carrying cosmic string on the vacuum expectation value (VEV) of the current density for a charged fermionic field in the background geometry of (4+1)-dimensional anti-de Sitter (AdS) spacetime. The brane is parallel to the AdS boundary and the cosmic string is orthogonal to the brane. Two types of boundary conditions are considered on the brane that include the MIT bag boundary condition and the boundary conditions in Z 2 -symmetric braneworld models. The brane divides the space into two regions with different properties of the vacuum state. The only nonzero component of the current density is along the azimuthal direction and in both the regions the corresponding VEV is decomposed into the branefree and brane-induced contributions. The latter vanishes on the string and near the string the total current is dominated by the brane-free part. At large distances from the string and in the region between the brane and AdS horizon the decay of the brane-induced current density, as a function of the proper distance, is power-law for both massless and massive fields. For a massive field this behavior is essentially different from that in the Minkowski bulk. In the region between the brane and AdS boundary the large-distance decay of the current density is exponential. Depending on the boundary condition on the brane, the brane-induced contribution is dominant or subdominant in the total current density at large distances from the string. By using the results for fields realizing two inequivalent irreducible representations of the Clifford algebra, the vacuum current density is investigated in C-and P -symmetric fermionic models. Applications are given for a cosmic string in the Randall-Sundrum-type braneworld model with a single brane.

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Topological mass term in effective Brane-World scenario with torsion

Cited by 7 publications

References 41 publications

Non-Abelian Born–Infeld action, geometry and supersymmetry

Non-Abelian Born–Infeld action, geometry and supersymmetry

Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string

Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string

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