Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#248067] of M. Ronen Plesser

Papers Published

  1. Beasley, CE; Plesser, MR, Toric duality is seiberg duality, Journal of High Energy Physics, vol. 5 no. 12 (January, 2001), pp. 1-37, Institute of Physics, ISSN 1029-8479 [0109053v1], [doi]
    (last updated on 2019/04/20)

    © 2018 Elsevier B.V., All rights reserved. We study four N = 1 SU(N)6 gauge theories, with bi-fundamental chiral matter and a superpotential. In the infrared, these gauge theories all realize the low-energy world-volume description of N coincident D3-branes transverse to the complex cone over a del Pezzo surface dP3 which is the blowup of P2 at three generic points. Therefore, the four gauge theories are expected to fall into the same universality class — an example of a phenomenon that has been termed “toric duality”. However, little independent evidence has been given that such theories are infrared-equivalent. In fact, we show that the four gauge theories are related by the N = 1 duality of Seiberg, vindicating this expectation. We also study holographic aspects of these gauge theories. In particular we relate the spectrum of chiral operators in the gauge theories to wrapped D3-brane states in the AdS dual description. We finally demonstrate that the other known examples of toric duality are related by N = 1 duality, a fact which we conjecture holds generally.
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320