Fivedimensional YangMillsEinstein supergravity on orbifolds: Parity assignments
Abstract
We discuss the options for parity assignments in (onshell) N=2 fivedimensional YangMillsEinstein supergravity theories (YMESGTs) coupled to tensor and hypermultiplets on the orbifold spacetime M{sub 4}xS{sup 1}/Z{sub 2}. Along the lines of orbifoldgrand unified theories (GUTs), we allow for general breaking of the fivedimensional gauge group at the orbifold fixed points. We then extend the discussion to the case where the orbifold is S{sup 1}/(Z{sub 2}xZ{sub 2}). We do not presume the existence of fields with support only at fixed points. As in the familiar case of (rigid) superYangMills theories on such orbifolds, only bulk hypermultiplets can lead to chiral multiplets in complex representations of the gauge group on the boundaries. Massless chiral multiplets coming from bulk vector or tensor multiplets can potentially be used as Higgs supermultiplets, though a 'doublettriplet' splitting via parity assignments is not available for the tensor sector. We also find parity assignments for objects other than fields that appear in the Lagrangian, which will partially determine the structure of interactions of the boundary theories. Assigning odd parities to the scalar sector of vector/tensor multiplets requires the fourdimensional boundary moduli spaces to lie on the boundary of the classical Kaehler cone, which corresponds to collapsed CalabiYaumore »
 Authors:

 Physics Department, Pennsylvania State University, University Park, Pennsylvania 16802 (United States)
 Publication Date:
 OSTI Identifier:
 20782696
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 73; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.73.065025; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CHIRALITY; COMPACTIFICATION; GRAND UNIFIED THEORY; HIGGS BOSONS; HIGGS MODEL; LAGRANGIAN FUNCTION; PARITY; SCALARS; SPACE; SPACETIME; SUPERGRAVITY; SUPERMULTIPLETS; TRIPLETS; VECTORS; YANGMILLS THEORY
Citation Formats
McReynolds, Sean. Fivedimensional YangMillsEinstein supergravity on orbifolds: Parity assignments. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVD.73.065025.
McReynolds, Sean. Fivedimensional YangMillsEinstein supergravity on orbifolds: Parity assignments. United States. https://doi.org/10.1103/PHYSREVD.73.065025
McReynolds, Sean. 2006.
"Fivedimensional YangMillsEinstein supergravity on orbifolds: Parity assignments". United States. https://doi.org/10.1103/PHYSREVD.73.065025.
@article{osti_20782696,
title = {Fivedimensional YangMillsEinstein supergravity on orbifolds: Parity assignments},
author = {McReynolds, Sean},
abstractNote = {We discuss the options for parity assignments in (onshell) N=2 fivedimensional YangMillsEinstein supergravity theories (YMESGTs) coupled to tensor and hypermultiplets on the orbifold spacetime M{sub 4}xS{sup 1}/Z{sub 2}. Along the lines of orbifoldgrand unified theories (GUTs), we allow for general breaking of the fivedimensional gauge group at the orbifold fixed points. We then extend the discussion to the case where the orbifold is S{sup 1}/(Z{sub 2}xZ{sub 2}). We do not presume the existence of fields with support only at fixed points. As in the familiar case of (rigid) superYangMills theories on such orbifolds, only bulk hypermultiplets can lead to chiral multiplets in complex representations of the gauge group on the boundaries. Massless chiral multiplets coming from bulk vector or tensor multiplets can potentially be used as Higgs supermultiplets, though a 'doublettriplet' splitting via parity assignments is not available for the tensor sector. We also find parity assignments for objects other than fields that appear in the Lagrangian, which will partially determine the structure of interactions of the boundary theories. Assigning odd parities to the scalar sector of vector/tensor multiplets requires the fourdimensional boundary moduli spaces to lie on the boundary of the classical Kaehler cone, which corresponds to collapsed CalabiYau 2cycles at the orbifold fixed points in a compactification of 11dimensional supergravity. There is an ambiguity in how to affect odd parity for the fieldindependent C{sub IJK} tensor of the 5D theory, which may admit a classical interpretation as CalabiYau 4cycles collapsing to either 2 or 0cycles.},
doi = {10.1103/PHYSREVD.73.065025},
url = {https://www.osti.gov/biblio/20782696},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 6,
volume = 73,
place = {United States},
year = {2006},
month = {3}
}