Supersymmetric matrix models and branched polymers |
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| Institution: | 1. The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark;2. Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117259 Moscow, Russia;3. Steklov Mathematical Institute, Vavilov Street 42, GSP-1, 117966 Moscow, Russia;1. Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan;2. Physics Department, Boston University, Boston, MA 02215, USA;3. Theoretical Research Division, Nishina Center, RIKEN, Wako, Saitama 351-0198, Japan;1. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;2. Lebedev Physics Institute, Moscow 119991, Russia;3. NRC “Kurchatov Institute”, 123182, Moscow, Russia;4. Institute for Information Transmission Problems, Moscow 127994, Russia;5. MIPT, Dolgoprudny, 141701, Russia;6. Department of Mathematics, China University of Mining and Technology, Beijing 100083, China;1. Department of Clinical Neurophysiology, Amiens University Medical Center, Amiens, France;2. Department of Neurology, Amiens University Medical Center, Amiens, France;1. Department of Physics, University of York, Heslington, York, Y010 5DD, UK;2. University of Regina, Regina, SK S4S-0A2 Canada;3. Kent State University, Kent, OH 44242, USA;4. SUPA School of Physics and Astronomy, University of Glasgow, Glasgow, G12 8QQ, UK;5. Department of Physics, University of Basel, CH-4056 Basel, Switzerland;6. Institut für Kernphysik, University of Mainz, D-55099 Mainz, Germany;7. Helmholtz-Institut für Strahlen- und Kernphysik, University Bonn, D-53115 Bonn, Germany;8. Joint Institute for Nuclear Research, 141980 Dubna, Russia;9. INFN Sezione di Pavia, I-27100 Pavia, Italy;10. Center for Nuclear Studies, The George Washington University, Washington, DC 20052, USA;11. Department of Astronomy and Physics, Saint Mary''s University, E4L1E6 Halifax, Canada;12. Dipartimento di Fisica, Università di Pavia, I-27100 Pavia, Italy;13. II. Physikalisches Institut, University of Giessen, D-35392 Giessen, Germany;14. Institute for Nuclear Research, RU-125047 Moscow, Russia;15. Mount Allison University, Sackville, New Brunswick E4L1E6, Canada;p. Rudjer Boskovic Institute, HR-10000 Zagreb, Croatia;q. University of Massachusetts, Amherst, MA 01003, USA;r. Tomsk Polytechnic University, 634034 Tomsk, Russia |
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| Abstract: | We solve a supersymmetric matrix model with a general potential. While matrix models usually describe surfaces, supersymmetry enforces a cancellation of bosonic and fermionic loops and only diagrams corresponding to so-called branched polymers survive. The eigenvalue distribution of the random matrices near the critical point is of a new kind. |
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