Fermions in a warped resolved conifold

Dantas, D. M.; Silva, J.E.G.; Almeida, C. A. S.

doi:10.1016/j.physletb.2013.07.021

Cited by 16 publications

(20 citation statements)

References 45 publications

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“…[31,32], looking for an exact vortex solution, shows that the energy density and the angular pressure are similar. This condition is likewise verified for the Resolved Conifold scenario [37][38][39]. Finally, for the String-Cigar [33][34][35][36], the transverse space is represented by a cigar soliton, which is a stationary solution for the Ricci flow [43][44][45].…”

Section: Introductionmentioning

confidence: 77%

Bounds on topological Abelian string-vortex and string-cigar from information-entropic measure

et al. 2016

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In this work we obtain bounds on the topological Abelian string-vortex and on the string-cigar, by using a new measure of configurational complexity, known as configurational entropy. In this way, the information-theoretical measure of six-dimensional braneworlds scenarios are capable to probe situations where the parameters responsible for the brane thickness are arbitrary. The socalled configurational entropy (CE) selects the best value of the parameter in the model. This is accomplished by minimizing the CE, namely, by selecting the most appropriate parameters in the model that correspond to the most organized system, based upon the Shannon information theory. This information-theoretical measure of complexity provides a complementary perspective to situations where strictly energy-based arguments are inconclusive. We show that the higher the energy the higher the CE, what shows an important correlation between the energy of the a localized field configuration and its associated entropic measure.

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Section: Introductionmentioning

confidence: 77%

Bounds on topological Abelian string-vortex and string-cigar from information-entropic measure

et al. 2016

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“…The study of fermion localization on branes is rich and interesting, yet the most popular method for the localization of fermions is formulated in a rather speculaa e-mail: allan.moreira@fisica.ufc.br b e-mail: euclides.silva@ufca.edu.br c e-mail: carlos@fisica.ufc.br (corresponding author) tive way [8,[18][19][20][21][22][23][24][25]. The same is true in 6D [26][27][28]. This is because of the freedom one has to propose the Yukawa coupling term.…”

Section: Introductionmentioning

confidence: 99%

Fermion localization in braneworld teleparallel f(T, B) gravity

2021

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We study a spin 1/2 fermion in a thick braneworld in the context of teleparallel f(T, B) gravity. Here, f(T, B) is such that $$f_1(T,B)=T+k_1B^{n_1}$$ f 1 ( T , B ) = T + k 1 B n 1 and $$f_2(T,B)=B+k_2T^{n_2}$$ f 2 ( T , B ) = B + k 2 T n 2 , where $$n_{1,2}$$ n 1 , 2 and $$k_{1,2}$$ k 1 , 2 are parameters that control the influence of torsion and the boundary term. We assume Yukawa coupling, where one scalar field is coupled to a Dirac spinor field. We show how the $$n_{1,2}$$ n 1 , 2 and $$k_{1,2}$$ k 1 , 2 parameters control the width of the massless Kaluza–Klein mode, the breadth of non-normalized massive fermionic modes and the properties of the analogue quantum-potential near the origin.

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“…The study of fermion localization on branes is rich and interesting, yet the most popular method for the localization of fermions is formulated in a rather speculative way [8,[18][19][20][21][22][23][24][25]. The same is true in 6D [26][27][28]. This is because of the freedom one has to propose the Yukawa coupling term.…”

Section: Introductionmentioning

confidence: 99%

Fermion localization in braneworld teleparallel f(T,B) gravity

Moreira,

Silva,

Almeida

2021

Preprint

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We study a spin 1/2 fermion in a thick braneworld in the context of teleparallel f (T, B) gravity. Here,where n 1,2 and k 1,2 are parameters that control the influence of torsion and the boundary term. We assume Yukawa coupling, where one scalar field is coupled to a Dirac spinor field. We show how the n 1,2 and k 1,2 parameters control the width of the massless Kaluza-Klein mode, the breadth of non-normalized massive fermionic modes and the properties of the analogue quantum-potential near the origin.

show abstract

Fermions in a warped resolved conifold

Cited by 16 publications

References 45 publications

Bounds on topological Abelian string-vortex and string-cigar from information-entropic measure

Bounds on topological Abelian string-vortex and string-cigar from information-entropic measure

Fermion localization in braneworld teleparallel f(T, B) gravity

Fermion localization in braneworld teleparallel f(T,B) gravity

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