Math @ Duke

Publications [#248067] of M. Ronen Plesser
Papers Published
 Beasley, CE; Plesser, MR, Toric duality is seiberg duality,
The Journal of High Energy Physics, vol. 5 no. 12
(2001),
pp. XI37, Institute of Physics, ISSN 10298479 [0109053v1], [doi]
(last updated on 2018/07/19)
Abstract: We study four N = 1 SU(N)6 gauge theories, with bifundamental chiral matter and a superpotential. In the infrared, these gauge theories all realize the lowenergy worldvolume description of TV coincident D3branes 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 infraredequivalent. In fact, we show that the four gauge theories are related by the A/" = 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 D3brane states in the AdS dual description. We finally demonstrate that the other known examples of toric duality are related by J\f = I duality, a fact which we conjecture holds generally.


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