Composite link polynomials from super Chern-Simons theory |
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| Institution: | 1. Department of IT, SRKR Engineering College, Affiliated to JNTUK, AP, India;2. Department of CSE, SRKR Engineering College, Affiliated to JNTUK, AP, India;3. Department of CSE, Pragati Engineering College, Affiliated to JNTUK, AP, India;1. Food Technology, Faculty of Chemical Sciences and Technologies, Regional Institute for Applied Scientific Research (IRICA), University of Castilla-La Mancha, Avda. Camilo José Cela, 10, Ciudad Real 13071, Spain;2. Instituto de Ciencias de la Vid y del Vino (Universidad de la Rioja, Gobierno de La Rioja y CSIC), Finca La Grajera, Ctra. De Burgos Km 6, Logroño, La Rioja 26007, Spain;3. Instituto Regional de Investigación y Desarrollo Agroalimentario y Forestal de Castilla La Mancha (IRIAF), IVICAM, Tomelloso (Ciudad Real), Spain;4. Department of Food Science and Technology, Faculty of Veterinary Sciences, University of Murcia, Murcia 30071, Spain;1. Department of Molecular Gastroenterology and Hepatology, Graduate School of Medical Science, Kyoto Prefectural University of Medicine, Kyoto, Japan;2. Department of Infectious Diseases, Graduate School of Medical Science, Kyoto Prefectural University of Medicine, Kyoto, Japan;1. Department of Psychiatry, Icahn School of Medicine at Mount Sinai, New York, NY, United States;2. Center for Depression Research and Clinical Care, UT Southwestern Medical Center, Dallas, TX, United States;3. Department of Radiology, Baylor College of Medicine, Houston, TX, United States;4. Department of Psychiatry, Baylor College of Medicine, Houston, TX, United States;5. Nash Family Department of Neuroscience, Icahn School of Medicine at Mount Sinai, New York, NY, United States;6. Michael E DeBakey VA Medical Center, Houston, TX, United States;7. The Menninger Clinic, Houston, TX, United States;8. Department of Psychiatry and Behavioral Sciences, Albert Einstein College of Medicine, The Bronx, NY, United States |
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| Abstract: | Using the framework of supersymmetric Witten-Jones theory the composite link polynomials related to the basic classical simple complex Lie superalgebras will be computed. The related graded Casimir operators will be given explicitly for arbitrary covariant class I representations. As a consequence of the topological interpretation of link invariants, it is essentially possible to derive the Boltzmann weights of the associated IRF models found previously as solutions of the graded Yang-Baxter equation. |
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