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Title: Twisted 3D N=4 supersymmetric YM on deformed A{sub 3}{sup *} lattice

Abstract

We study a class of twisted 3D N=4 supersymmetric Yang-Mills (SYM) theory on particular 3-dimensional lattice L{sub 3D} formally denoted as L{sub 3D}{sup su{sub 3}×u{sub 1}} and given by non-trivial fibration L{sub 1D}{sup u{sub 1}}×L{sub 2D}{sup su{sub 3}} with base L{sub 2D}{sup su{sub 3}}=A{sub 2}{sup *}, the weight lattice of SU(3). We first, develop the twisted 3D N=4 SYM in continuum by using superspace method where the scalar supercharge Q is manifestly exhibited. Then, we show how to engineer the 3D lattice L{sub 3D}{sup su{sub 3}×u{sub 1}} that host this theory. After that we build the lattice action S{sub latt} invariant under the following three points: (i) U(N) gauge invariance, (ii) BRST symmetry, (iii) the S{sub 3} point group symmetry of L{sub 3D}{sup su{sub 3}×u{sub 1}}. Other features such as reduction to twisted 2D supersymmetry with 8 supercharges living on L{sub 2D}≡L{sub 2D}{sup su{sub 2}×u{sub 1}}, the extension to twisted maximal 5D SYM with 16 supercharges on lattice L{sub 5D}≡L{sub 5D}{sup su{sub 4}×u{sub 1}} as well as the relation with known results are also given.

Authors:
 [1]
  1. Lab of High Energy Physics, Modeling and Simulations, Faculty of Science, University Mohamed V-Agdal, Morocco and Centre of Physics and Mathematics, CPM, Rabat (Morocco)
Publication Date:
OSTI Identifier:
22251601
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 55; Journal Issue: 1; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GAUGE INVARIANCE; SUPERSYMMETRY; YANG-MILLS THEORY

Citation Formats

Saidi, El Hassan. Twisted 3D N=4 supersymmetric YM on deformed A{sub 3}{sup *} lattice. United States: N. p., 2014. Web. doi:10.1063/1.4862743.
Saidi, El Hassan. Twisted 3D N=4 supersymmetric YM on deformed A{sub 3}{sup *} lattice. United States. https://doi.org/10.1063/1.4862743
Saidi, El Hassan. 2014. "Twisted 3D N=4 supersymmetric YM on deformed A{sub 3}{sup *} lattice". United States. https://doi.org/10.1063/1.4862743.
@article{osti_22251601,
title = {Twisted 3D N=4 supersymmetric YM on deformed A{sub 3}{sup *} lattice},
author = {Saidi, El Hassan},
abstractNote = {We study a class of twisted 3D N=4 supersymmetric Yang-Mills (SYM) theory on particular 3-dimensional lattice L{sub 3D} formally denoted as L{sub 3D}{sup su{sub 3}×u{sub 1}} and given by non-trivial fibration L{sub 1D}{sup u{sub 1}}×L{sub 2D}{sup su{sub 3}} with base L{sub 2D}{sup su{sub 3}}=A{sub 2}{sup *}, the weight lattice of SU(3). We first, develop the twisted 3D N=4 SYM in continuum by using superspace method where the scalar supercharge Q is manifestly exhibited. Then, we show how to engineer the 3D lattice L{sub 3D}{sup su{sub 3}×u{sub 1}} that host this theory. After that we build the lattice action S{sub latt} invariant under the following three points: (i) U(N) gauge invariance, (ii) BRST symmetry, (iii) the S{sub 3} point group symmetry of L{sub 3D}{sup su{sub 3}×u{sub 1}}. Other features such as reduction to twisted 2D supersymmetry with 8 supercharges living on L{sub 2D}≡L{sub 2D}{sup su{sub 2}×u{sub 1}}, the extension to twisted maximal 5D SYM with 16 supercharges on lattice L{sub 5D}≡L{sub 5D}{sup su{sub 4}×u{sub 1}} as well as the relation with known results are also given.},
doi = {10.1063/1.4862743},
url = {https://www.osti.gov/biblio/22251601}, journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 1,
volume = 55,
place = {United States},
year = {Wed Jan 15 00:00:00 EST 2014},
month = {Wed Jan 15 00:00:00 EST 2014}
}