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We have considered the most general gauge invariant five-dimensional actionof a second rank antisymmetric Kalb-Ramond tensor gauge theory, including atopological term of the form $\epsilon^{ABLMN}B_{AB}H_{LMN}$ in aRandall-Sundrum scenario. Such a tensor field $B_{AB}$ (whose rank-3 fieldstrength tensor is $H_{LMN}$), which appears in the massless sector of aheterotic string theory, is assumed to coexist with the gravity in the bulk.The third rank field strength corresponding to the Kalb-Ramond field has awell-known geometric interpretation as the spacetime torsion. The onlynon-trivial classical solutions corresponding to the effective four-dimensionalaction are found to be self-dual or anti-selfdual Kalb-Ramond fields. Thisensures that the four-dimensional effective action on the brane isparity-conserving. The massive modes for both cases, lying in the TeV range,are related to the fundamental parameters of the theory. These modes can bewithin the kinematic reach of forthcoming TeV scale experiments. However, thecouplings of the massless as well as massive Kalb-Ramond modes with matter onthe visible brane are found to be suppressed vis-a-vis that of the graviton bythe warp factor, whence the conclusion is that both the massless and themassive torsion modes appear much weaker than curvature to an observer on thevisible brane.Comment: 15 Pages,2 figures,Late

Bulk Kalb-Ramond field in the Randall-Sundrum scenario