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| Format: | Preprint |
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2026
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| Online-Zugang: | https://arxiv.org/abs/2603.17262 |
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| _version_ | 1866918395265417216 |
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| author | Nunes, L. A. S. Almeida, C. A. S. |
| author_facet | Nunes, L. A. S. Almeida, C. A. S. |
| contents | We construct the supersymmetric extension of the Kalb-Ramond topological term in an intrinsic $N=1$, $D=5$ superspace based on Majorana spinor coordinates. This formalism is a Majorana-basis implementation of the $N$=$1/2$ superspace of Linch, Luty and Phillips, and is particularly well suited to theories with torsion: the Majorana condition is the natural spinor structure in five dimensions, orbifold parity acts directly at the level of the Grassmann coordinate, and bulk matter couplings to the Kalb--Ramond field require no intermediate change of spinor basis. The covariant derivatives of the formalism carry an explicit dependence on the fifth-coordinate derivative, absent in the pseudo-supersymmetric approach of Klein. This generates two new contributions to the component action - one bosonic, one fermionic - that are invisible in any treatment based on four-dimensional superspace derivatives. We further show that the fermionic partner of the bosonic topological term is itself a topological structure, so that the supersymmetric extension preserves the background-independence of the original theory. The identification of the mixed Kalb-Ramond component with a gauge vector, implemented at the superfield level, yields a fully supersymmetric Chern-Simons-like coupling for the first time in this framework. Upon compactification, the new bosonic term shifts the entire Kaluza-Klein mass spectrum of the Kalb-Ramond tower by a factor proportional to the topological coupling constant - a concrete prediction absent in both the purely bosonic and pseudo-supersymmetric treatments, with direct implications for torsion phenomenology in Randall-Sundrum brane-world models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17262 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Kalb-Ramond Topological Term in Majorana Superspace and Kaluza-Klein Spectrum Deformation in Five Dimensions Nunes, L. A. S. Almeida, C. A. S. High Energy Physics - Theory General Relativity and Quantum Cosmology We construct the supersymmetric extension of the Kalb-Ramond topological term in an intrinsic $N=1$, $D=5$ superspace based on Majorana spinor coordinates. This formalism is a Majorana-basis implementation of the $N$=$1/2$ superspace of Linch, Luty and Phillips, and is particularly well suited to theories with torsion: the Majorana condition is the natural spinor structure in five dimensions, orbifold parity acts directly at the level of the Grassmann coordinate, and bulk matter couplings to the Kalb--Ramond field require no intermediate change of spinor basis. The covariant derivatives of the formalism carry an explicit dependence on the fifth-coordinate derivative, absent in the pseudo-supersymmetric approach of Klein. This generates two new contributions to the component action - one bosonic, one fermionic - that are invisible in any treatment based on four-dimensional superspace derivatives. We further show that the fermionic partner of the bosonic topological term is itself a topological structure, so that the supersymmetric extension preserves the background-independence of the original theory. The identification of the mixed Kalb-Ramond component with a gauge vector, implemented at the superfield level, yields a fully supersymmetric Chern-Simons-like coupling for the first time in this framework. Upon compactification, the new bosonic term shifts the entire Kaluza-Klein mass spectrum of the Kalb-Ramond tower by a factor proportional to the topological coupling constant - a concrete prediction absent in both the purely bosonic and pseudo-supersymmetric treatments, with direct implications for torsion phenomenology in Randall-Sundrum brane-world models. |
| title | Kalb-Ramond Topological Term in Majorana Superspace and Kaluza-Klein Spectrum Deformation in Five Dimensions |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2603.17262 |