Antisymmetric tensor fields in codimension-two brane world

Abstract

Abstract. -In this work we consider the issue of localization of antisymmetric tensor fields of arbitrary rank in a D dimensional Space-time with a codimension two membrane. A string-like defect is used to simulate the membrane. The localization of massless and massive fields is found. The mass spectrum is infinitely degenerate for each mass level and this is solved by coupling the q−form to fermions.Introduction. -Higher dimensional theories are source of several ideas from the mathematical and physical point of view. Its diversity comes from the number of fields that naturally appears in their descriptions. If our universe is multidimensional then, in D = 4, all of these fields should present some signal in the accelerators. This is enough to situate the study of localization of all sort of fields as an important aspect in physics of extra dimensions. These scenarios are those in which membranes or small compactified extra dimensions plays crucial role. They are naturally embedded in the formalism of superstring Theories.As is well known, the quantum superstrings present in its spectrum a bunch of bosonic and fermionic tensorial fields: in fact, an infinite tower of them [1,2]. The understanding of the superstrings low energy limit is based on its massless excitations, and the low tension limit involves all the fields contained in its spectrum (in this case, all fields are massless) [3]. From this viewpoint, they are of great interest because they may have the status of fields describing particles other than the usual ones. As an example we can cite the space-time torsion [4] and the axion field [5,6] that have separated descriptions by the two-form. Other applications of these kind of fields are its relation with the AdS/CFT conjecture [7].The spectrum of the superstring is classified in various sectors. For example, the bosonic massless fields of the Ramond-Ramond sector in type IIA superstring is different from that in type IIB superstring. In type IIA we get a 1-form and a 3-form, while in type IIB we get a 0-form, a 2-form and a 4-form. The existence of these fields is related to the existence of stable D−branes in type II theories. These D−branes are electrically or magnetically

Gauge field localization on the brane through geometrical coupling

“…An interesting issue is the generalization to antisymmetric tensor fields or p-forms as in [8][9][10]. In a separate paper we consider this and show that the generalization to p-forms in more dimensions is possible.…”

Cosmologies of multiple spherical brane-universe model

“…Despite its advantages, we should point that the spherical brane scenario share some problems of plane brane models. One of this problems is related to the localizability of fields on the brane [27][28][29][30][31][32]. This can have important phenomenological implications to the standard model and cosmology [33][34][35].…”

Massive p-form trapping as a p-form on a brane

“…It is important to point that in the models mentioned here the Hodge Duality is not valid since quadratic terms breaks this duality. The analysis of massive modes of p-forms has also been considered in the literature [22][23][24][25][26][27] After the work of RS several recent results have been developed based on the idea of thick membranes and its implications for brane-world physics [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44]. The advantage of these models is that the singularity generated by the brane is eliminated.…”