Tensor gauge field localization on a string-like defect

Abstract

This work is devoted to the study of tensor gauge fields on a string-like defect in six dimensions. This model is very successful in localizing fields of various spins only by gravitational interaction. Due to problems of field localization in membrane models we are motivated to investigate if a string-like defect localizes the Kalb-Ramond field. In contrast to what happens in Randall-Sundrum and thick brane scenarios we find a localized zero mode without the addition of other fields in the bulk. Considering the local string defect we obtain analytical solutions for the massive modes. Also, we take the equations of motion in a supersymmetric quantum mechanics scenario in order to analyze the massive modes. The influence of the mass as well as the angular quantum number in the solutions is described. An additional analysis on the massive modes is performed by the Kaluza-Klein decomposition, which provides new details about the KK masses.Comment: 17 pages, 2 figures. To appear in Physics Letters

Six-dimensional standing-wave braneworld with normal matter as source

“…On the other hand, studies of field localization are very common in the literature in 5D [30][31][32][33][34][35] and 6D braneworld [6,7,12,14,[26][27][28]. In general, we find strategies of localization for all the Standard Model fields but the way that this localization is possible varies in different works.…”

“…J − a 2c and J a 2c are the first kind Bessel functions of orders − a 2c and a 2c , respectively, and Γ represents the Gamma function. Now that we found the solution (28) we have the so called standing waves solution which generalizes the 5D work [45], and the 6D works [48,50]. Depending on the values of c and a one can obtain solutions similar to that in six dimensions.…”

“…The first one is the fact that both functions J − a 2c and J a 2c are regular at the origin and at infinity (r → ∞), given the possibility to maintain the general solution (28). Depending on the relation between ω, c and a the functions J − a 2c and J a 2c converge for both c > 0 or c < 0 enabling solutions with decreasing and increasing warp factor.…”

“…where X ± a 2c ,n represents the n-th zero of J − a 2c or J a 2c depending if we do C 1 or C 2 equal to zero in (28). The boundary condition (29) [6-8, 12-14, 23, 25] as one can see in the metric (26).…”

Consistency conditions for p-form field localization on codimension two braneworlds

“…Among them, the U (1) vector field (1-form) and the Kalb-Ramond field (2-form) has an important status. The study of the confinement of these two fields and another p-form was already widely performed in the literature [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49]. There are other related issues, such as that p-form fields have been used to provide the stabilization of the radius in RS-I model [50]; or, that one introduced torsion in RS-I scenarios [51]; or still, one addressed generation of inflation or gravitational waves [52,53]; among other issues [54][55][56].…”