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Exact results in 5D from instantons and deconstruction

Csáki, Csaba and Erlich, Joshua and Khoze, Valentin V. and Poppitz, Erich and Shadmi, Yael and Shirman, Yuri (2002) Exact results in 5D from instantons and deconstruction. Physical Review D, 65 (8). Art. No. 085033. ISSN 2470-0010. doi:10.1103/PhysRevD.65.085033.

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We consider nonperturbative effects in theories with extra dimensions and the deconstructed versions of these theories. We establish the rules for instanton calculations in 5D theories on the circle, and use them for an explicit one-instanton calculation in a supersymmetric gauge theory. The results are then compared to the known exact Seiberg-Witten type solution for this theory, confirming the validity both of the exact results and of the rules for instanton calculus for extra dimensions introduced here. Next we consider the nonperturbative results from the perspective of deconstructed extra dimensions. We show that the nonperturbative results of the deconstructed theory do indeed reproduce the known results for the continuum extra dimensional theory, thus providing the first nonperturbative evidence in favor of deconstruction. This way deconstruction also allows us to make exact predictions in higher dimensional theories which agree with earlier results, and helps to clarify the interpretation of 5D instantons.

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Additional Information:©2002 The American Physical Society Received 26 November 2001; published 9 April 2002 We thank Keith Dienes, Ken Intriligator, Amanda Peet, and John Terning for useful discussions, and the Aspen Center for Physics for its hospitality while this work was initiated. C.C. is supported in part by a DOE OJI grant. C.C. and J.E. are supported in part by the U.S. Department of Energy under contract W-7405-ENG-36. V.V.K. is supported in part by a PPARC Special Project Grant. E.P. is supported by the University of Toronto and the Connaught Foundation. Y. Shadmi thanks the Weizmann Institute for hospitality while part of this work was completed. Y. Shirman is supported in part by a Technion Management Career Development grant and DOE grant DE-FG03-92-ER-40701.
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Deposited On:29 Mar 2006
Last Modified:08 Nov 2021 19:47

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