Equivariant determinant bundles and supersymmetric closed strings |
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| Institution: | 1. ICRA - International Center of Relativistic Astrophysics, Rome, Italy;2. Dipartimento di Fisica, Università “La Sapienza”, I-00185 Rome, Italy;1. Public Health Institute, Liverpool John Moores University, Exchange Station, Liverpool, L2 2QP, UK;2. School of Natural Sciences and Psychology, Liverpool John Moores University, Byrom Street, Liverpool, L3 3AF, UK;1. IRCCS San Raffaele Scientific Institute, Department of Neurology and INSPE, Milan, Italy;2. Institute of Myology, Hopital Trousseau, I- Motion, Paris, France;3. Hospital de la Santa Creu i Sant Pau de Barcelona Servei de Neurologia, Barcelona, Spain;4. Centro de Investigación Biomédica en Red en Enfermedades Raras (CIBERER), Spain;5. Geneva University (UNIGE), Geneva, Switzerland;6. Geneva University Hospital (HUG), Immunology and Allergology Department, Geneva, Switzerland;7. Leiden University Medical Center, Netherlands;8. KTH, School of Chemistry, Biotechnology and Health, Royal Institute of Technology, Stockolm, Sweden;9. Science for Life Laboratory, Department of Protein Science, Division of Systems Biology, Solna, Sweden;10. EspeRare, Geneva, Switzerland;11. UCL Great Ormond Street Institute of Child Health & Great Ormond Street Hospital Dubowitz Neuromuscular Centre, London, UK;12. NIHR Great Ormond Street Hospital Biomedical Research Centre, Great Ormond Street Institute of Child Health, Great Ormond Street Hospital Trust, University College London, London, UK |
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| Abstract: | This work is to point out the relationship between the geometric approach to the string theories of Bowick and Rajeev, and Pilch and Warner and the recent research on the index of the Dirac operator in loop space. We consider character-valued Dirac index bundles instead of the vacuum bundle over some parameter space such as Diff S1/S1. Thus, some necessary conditions for the absence of the Virasoro anomaly can be derived from some formulas presented here. |
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