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Matroid Theory and Chern-Simons | | J. A. Nieto
; M. C. Marin
; | | Date: |
12 May 2000 | | Journal: | J.Math.Phys. 41 (2000) 7997-8005 | | Subject: | High Energy Physics - Theory; Combinatorics | hep-th math.CO | | Abstract: | It is shown that matroid theory may provide a natural mathematical framework for a duality symmetries not only for quantum Yang-Mills physics, but also for M-theory. Our discussion is focused in an action consisting purely of the Chern-Simons term, but in principle the main ideas can be applied beyond such an action. In our treatment the theorem due to Thistlethwaite, which gives a relationship between the Tutte polynomial for graphs and Jones polynomial for alternating knots and links, plays a central role. Before addressing this question we briefly mention some important aspects of matroid theory and we point out a connection between the Fano matroid and D=11 supergravity. Our approach also seems to be related to loop solutions of quantum gravity based in Ashtekar formalism. | | Source: | arXiv, hep-th/0005117 | | Services: | Forum | Review | PDF | Favorites | |
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