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Title: Matching conditions and duality in {ital N}=1 SUSY gauge theories in the conformal window

Abstract

We discuss duality in {ital N}=1 SUSY gauge theories in Seiberg{close_quote}s conformal window, 3{ital N}{sub {ital c}}/2{lt}{ital N}{sub {ital f}}{lt}3{ital N}{sub {ital c}}. The {close_quote}t Hooft consistency conditions, the basic tool for establishing the infrared duality, are considered taking into account higher order {alpha} corrections. The conserved (anomaly-free) {ital R} current is built to all orders in {alpha}. Although this current contains all orders in {alpha} the {close_quote}t Hooft consistency conditions for this current are shown to be one loop. This observation thus justifies Seiberg{close_quote}s matching procedure. We also briefly discuss the inequivalence of the {open_quote}{open_quote}electric{close_quote}{close_quote} and {open_quote}{open_quote}magnetic{close_quote}{close_quote} theories at short distances. {copyright} {ital 1996 The American Physical Society.}

Authors:
 [1];  [2];  [2]
  1. Theoretical Physics, 1 Keble Road, Oxford, OX1 3NP (United Kingdom)
  2. Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)
Publication Date:
Research Org.:
Univ. of Minnesota, Minneapolis, MN (United States)
OSTI Identifier:
282188
DOE Contract Number:  
FG02-94ER40823
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 53; Journal Issue: 8; Other Information: PBD: Apr 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; SUPERSYMMETRY; DUALITY; ELECTRICITY; CORRECTIONS; QUANTUM CHROMODYNAMICS; PHOTONS; INFRARED DIVERGENCES; AXIAL-VECTOR CURRENTS

Citation Formats

Kogan, I I, Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, Shifman, M, Vainshtein, A, and Budker Institute of Nuclear Physics, Novosibirsk 630090. Matching conditions and duality in {ital N}=1 SUSY gauge theories in the conformal window. United States: N. p., 1996. Web. doi:10.1103/PhysRevD.53.4526.
Kogan, I I, Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, Shifman, M, Vainshtein, A, & Budker Institute of Nuclear Physics, Novosibirsk 630090. Matching conditions and duality in {ital N}=1 SUSY gauge theories in the conformal window. United States. https://doi.org/10.1103/PhysRevD.53.4526
Kogan, I I, Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, Shifman, M, Vainshtein, A, and Budker Institute of Nuclear Physics, Novosibirsk 630090. 1996. "Matching conditions and duality in {ital N}=1 SUSY gauge theories in the conformal window". United States. https://doi.org/10.1103/PhysRevD.53.4526.
@article{osti_282188,
title = {Matching conditions and duality in {ital N}=1 SUSY gauge theories in the conformal window},
author = {Kogan, I I and Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 and Shifman, M and Vainshtein, A and Budker Institute of Nuclear Physics, Novosibirsk 630090},
abstractNote = {We discuss duality in {ital N}=1 SUSY gauge theories in Seiberg{close_quote}s conformal window, 3{ital N}{sub {ital c}}/2{lt}{ital N}{sub {ital f}}{lt}3{ital N}{sub {ital c}}. The {close_quote}t Hooft consistency conditions, the basic tool for establishing the infrared duality, are considered taking into account higher order {alpha} corrections. The conserved (anomaly-free) {ital R} current is built to all orders in {alpha}. Although this current contains all orders in {alpha} the {close_quote}t Hooft consistency conditions for this current are shown to be one loop. This observation thus justifies Seiberg{close_quote}s matching procedure. We also briefly discuss the inequivalence of the {open_quote}{open_quote}electric{close_quote}{close_quote} and {open_quote}{open_quote}magnetic{close_quote}{close_quote} theories at short distances. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevD.53.4526},
url = {https://www.osti.gov/biblio/282188}, journal = {Physical Review, D},
number = 8,
volume = 53,
place = {United States},
year = {Mon Apr 01 00:00:00 EST 1996},
month = {Mon Apr 01 00:00:00 EST 1996}
}