Matter in transition
Abstract
In this study, we explore a novel type of transition in certain 6D and 4D quantum field theories, in which the matter content of the theory changes while the gauge group and other parts of the spectrum remain invariant. Such transitions can occur, for example, for SU(6) and SU(7) gauge groups, where matter fields in a threeindex antisymmetric representation and the fundamental representation are exchanged in the transition for matter in the twoindex antisymmetric representation. These matter transitions are realized by passing through superconformal theories at the transition point. We explore these transitions in dual Ftheory and heterotic descriptions, where a number of novel features arise. For example, in the heterotic description the relevant 6D SU(7) theories are described by bundles on K3 surfaces where the geometry of the K3 is constrained in addition to the bundle structure. On the Ftheory side, nonstandard representations such as the threeindex antisymmetric representation of SU(N) require Weierstrass models that cannot be realized from the standard SU(N) Tate form. We also briefly describe some other situations, with groups such as Sp(3), SO(12), and SU(3), where analogous matter transitions can occur between different representations. For SU(3), in particular, we find a matter transition between adjointmore »
 Authors:

 Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Publication Date:
 Research Org.:
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1248474
 Report Number(s):
 MITCTP4747
Journal ID: ISSN 10298479; PII: 3727
 Grant/Contract Number:
 SC00012567; PHY1066293; PHY1417337; PHY1417316
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 4; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Ftheory; superstring vacua; superstrings and heterotic strings
Citation Formats
Anderson, Lara B., Gray, James, Raghuram, Nikhil, and Taylor, Washington. Matter in transition. United States: N. p., 2016.
Web. doi:10.1007/JHEP04(2016)080.
Anderson, Lara B., Gray, James, Raghuram, Nikhil, & Taylor, Washington. Matter in transition. United States. https://doi.org/10.1007/JHEP04(2016)080
Anderson, Lara B., Gray, James, Raghuram, Nikhil, and Taylor, Washington. Wed .
"Matter in transition". United States. https://doi.org/10.1007/JHEP04(2016)080. https://www.osti.gov/servlets/purl/1248474.
@article{osti_1248474,
title = {Matter in transition},
author = {Anderson, Lara B. and Gray, James and Raghuram, Nikhil and Taylor, Washington},
abstractNote = {In this study, we explore a novel type of transition in certain 6D and 4D quantum field theories, in which the matter content of the theory changes while the gauge group and other parts of the spectrum remain invariant. Such transitions can occur, for example, for SU(6) and SU(7) gauge groups, where matter fields in a threeindex antisymmetric representation and the fundamental representation are exchanged in the transition for matter in the twoindex antisymmetric representation. These matter transitions are realized by passing through superconformal theories at the transition point. We explore these transitions in dual Ftheory and heterotic descriptions, where a number of novel features arise. For example, in the heterotic description the relevant 6D SU(7) theories are described by bundles on K3 surfaces where the geometry of the K3 is constrained in addition to the bundle structure. On the Ftheory side, nonstandard representations such as the threeindex antisymmetric representation of SU(N) require Weierstrass models that cannot be realized from the standard SU(N) Tate form. We also briefly describe some other situations, with groups such as Sp(3), SO(12), and SU(3), where analogous matter transitions can occur between different representations. For SU(3), in particular, we find a matter transition between adjoint matter and matter in the symmetric representation, giving an explicit Weierstrass model for the Ftheory description of the symmetric representation that complements another recent analogous construction.},
doi = {10.1007/JHEP04(2016)080},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2016,
place = {United States},
year = {2016},
month = {4}
}
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