The heterotic string and supersymmetric counterparts of the Lorentz Chern-Simons terms |
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| Affiliation: | 1. Faculty of Science, University of Zagreb, Zagreb, Croatia;2. Rudjer Boskovic Institute, Zagreb, Croatia;1. Microsoft Station Q, Santa Barbara, CA, USA;2. Department of Mathematics, University of California, Santa Barbara, CA, USA;3. Departamento de Matemáticas, Universidad de los Andes, Bogotá, Colombia;4. Department of Mathematics, Texas A&M University, College Station, TX, USA;5. Department of Physics, University of California, Santa Barbara, CA, USA;6. Microsoft Station Q and Department of Mathematics, University of California, Santa Barbara, CA, USA;1. Department of Applied Physics, National Pingtung University, Pingtung 900, Taiwan;2. Institute of Electro-Optical Science and Technology, National Taiwan Normal University, Taipei 116, Taiwan |
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| Abstract: | The heterotic string three-point amplitude, which involves two fermionic and one bosonic state, determines some of the terms that must be added to the action of the N=1 supergravity coupled to N=1 supersymmetric Yang-Mills in ten dimensions to preserve supersymmetry, if the Lorentz Chern-Simons term is included in the definition of the field strength Hμνϱ for the cancellation of anomalies. Our calculation reveals an interesting structure, which suggests that the relevant H-Bianchi for the analysis of possible heterotic string compactifications involves a spin connection possibly with torsion. |
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