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Non-perturbative planar equivalence and the absence of closed string tachyons

Adi Armoni Orcid Logo

Journal of High Energy Physics, Volume: "04", Issue: 04, Pages: 046 - 046

Swansea University Author: Adi Armoni Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2007/04/046

Abstract

We consider 'orbifold' and 'orientifold' field theories from the dual closed string theory side. We argue that a necessary condition for planar equivalence to hold is the absence of a closed string tachyonic mode in the dual non-supersymmetric string. We analyze several gauge the...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2007
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URI: https://cronfa.swan.ac.uk/Record/cronfa28649
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spelling 2016-06-04T06:08:16.0748142 v2 28649 2016-06-04 Non-perturbative planar equivalence and the absence of closed string tachyons 3f75faad0563a2d3b191191a2efee956 0000-0002-8105-0645 Adi Armoni Adi Armoni true false 2016-06-04 SPH We consider 'orbifold' and 'orientifold' field theories from the dual closed string theory side. We argue that a necessary condition for planar equivalence to hold is the absence of a closed string tachyonic mode in the dual non-supersymmetric string. We analyze several gauge theories on R3xS1. In the specific case of U(N) theories with symmetric/anti-symmetric fermions ('orientifold field theories') the relevant closed string theory is tachyon-free at large compactification radius (due to winding modes), but it develops a tachyonic mode below a critical radius. Our finding is with agreement with field theory expectations of a phase transition from a C-parity violating phase to a C-parity preserving phase as the compactification radius increases. In the case of U(N)xU(N) theories with bi-fundamental matter ('orbifold field theories') a tachyon is always present in the string spectrum, at any compactification radius. We conclude that on R4 planar equivalence holds for 'orientfiold field theories', but fails for 'orbifold field theories' daughters of N=4 SYM and suggest the same for daughters of N=1 SYM. We also discuss examples of SO/Sp gauge theories with symmetric/anti-symmetric fermions. In this case planar equivalence holds at any compactification radius -in agreement with the absence of tachyons in the string Journal Article Journal of High Energy Physics "04" 04 046 046 1029-8479 31 3 2007 2007-03-31 10.1088/1126-6708/2007/04/046 http://inspirehep.net/record/747187 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-04T06:08:16.0748142 2016-06-04T06:08:15.8564128 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Adi Armoni 0000-0002-8105-0645 1
title Non-perturbative planar equivalence and the absence of closed string tachyons
spellingShingle Non-perturbative planar equivalence and the absence of closed string tachyons
Adi Armoni
title_short Non-perturbative planar equivalence and the absence of closed string tachyons
title_full Non-perturbative planar equivalence and the absence of closed string tachyons
title_fullStr Non-perturbative planar equivalence and the absence of closed string tachyons
title_full_unstemmed Non-perturbative planar equivalence and the absence of closed string tachyons
title_sort Non-perturbative planar equivalence and the absence of closed string tachyons
author_id_str_mv 3f75faad0563a2d3b191191a2efee956
author_id_fullname_str_mv 3f75faad0563a2d3b191191a2efee956_***_Adi Armoni
author Adi Armoni
author2 Adi Armoni
format Journal article
container_title Journal of High Energy Physics
container_volume "04"
container_issue 04
container_start_page 046
publishDate 2007
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2007/04/046
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/747187
document_store_str 0
active_str 0
description We consider 'orbifold' and 'orientifold' field theories from the dual closed string theory side. We argue that a necessary condition for planar equivalence to hold is the absence of a closed string tachyonic mode in the dual non-supersymmetric string. We analyze several gauge theories on R3xS1. In the specific case of U(N) theories with symmetric/anti-symmetric fermions ('orientifold field theories') the relevant closed string theory is tachyon-free at large compactification radius (due to winding modes), but it develops a tachyonic mode below a critical radius. Our finding is with agreement with field theory expectations of a phase transition from a C-parity violating phase to a C-parity preserving phase as the compactification radius increases. In the case of U(N)xU(N) theories with bi-fundamental matter ('orbifold field theories') a tachyon is always present in the string spectrum, at any compactification radius. We conclude that on R4 planar equivalence holds for 'orientfiold field theories', but fails for 'orbifold field theories' daughters of N=4 SYM and suggest the same for daughters of N=1 SYM. We also discuss examples of SO/Sp gauge theories with symmetric/anti-symmetric fermions. In this case planar equivalence holds at any compactification radius -in agreement with the absence of tachyons in the string
published_date 2007-03-31T03:34:53Z
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score 11.014067

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