scholarly journals Moduli space of many BPS monopoles for arbitrary gauge groups

1996 ◽  
Vol 54 (2) ◽  
pp. 1633-1643 ◽  
Author(s):  
Kimyeong Lee ◽  
Erick J. Weinberg ◽  
Piljin Yi
Keyword(s):  
Moduli Space ◽  
Gauge Groups ◽  
Arbitrary Gauge

Singular G-Monopoles on S1 × Σ

2016 ◽  
Vol 68 (5) ◽  
pp. 1096-1119 ◽  
Author(s):  
Benjamin H. Smith
Keyword(s):  
Spectral Decomposition ◽  
Gauge Groups ◽  
Correspondence Theorem ◽  
Arbitrary Gauge

AbstractThis article provides an account of the functorial correspondence between irreducible singular G-monopoles on S1×Σ and stable meromorphic pairs on Σ. A theorem of B.Charbonneau and J. Hurtubise is thus generalized here from unitary to arbitrary compact, connected gauge groups. The required distinctions and similarities for unitary versus arbitrary gauge are clearly outlined, and many parallels are drawn for easy transition. Once the correspondence theorem is complete, the spectral decomposition is addressed.

scholarly journals Constructing Non-Abelian Vortices with Arbitrary Gauge Groups

2008 ◽  
Author(s):  
Minoru Eto ◽  
Toshiaki Fujimori ◽  
Sven Bjarke Gudnason ◽  
Kenichi Konishi ◽  
Muneto Nitta ◽  
...  
Keyword(s):  
Gauge Groups ◽  
Arbitrary Gauge

Pseudoparticle parameters for arbitrary gauge groups

1994 ◽  
pp. 153-163
Author(s):  
Claude W. Bernard ◽  
Norman H. Christ ◽  
Alan H. Guth ◽  
Erick J. Weinberg
Keyword(s):  
Gauge Groups ◽  
Arbitrary Gauge

Pseudoparticle parameters for arbitrary gauge groups

1977 ◽  
Vol 16 (10) ◽  
pp. 2967-2977 ◽  
Author(s):  
Claude W. Bernard ◽  
Norman H. Christ ◽  
Alan H. Guth ◽  
Erick J. Weinberg
Keyword(s):  
Gauge Groups ◽  
Arbitrary Gauge

The Moduli Space of Yang–Mills Connections Over a Compact Surface

1997 ◽  
Vol 09 (01) ◽  
pp. 77-121 ◽  
Author(s):  
Ambar Sengupta
Keyword(s):  
Explicit Formula ◽  
Moduli Space ◽  
Symplectic Structure ◽  
Compact Surface ◽  
Gauge Groups ◽  
Yang Mills

Yang–Mills connections over closed oriented surfaces of genus ≥1, for compact connected gauge groups, are constructed explicitly. The resulting formulas for Yang–Mills connections are used to carry out a Marsden–Weinstein type procedure. An explicit formula is obtained for the resulting 2-form on the moduli space. It is shown that this 2-form provides a symplectic structure on appropriate subsets of the moduli space.

scholarly journals Constructing non-Abelian vortices with arbitrary gauge groups

2008 ◽  
Vol 669 (1) ◽  
pp. 98-101 ◽  
Author(s):  
Minoru Eto ◽  
Toshiaki Fujimori ◽  
Sven Bjarke Gudnason ◽  
Kenichi Konishi ◽  
Muneto Nitta ◽  
...  
Keyword(s):  
Gauge Groups ◽  
Arbitrary Gauge

scholarly journals Exploring the landscape of heterotic strings on Td

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Anamaría Font ◽  
Bernardo Fraiman ◽  
Mariana Graña ◽  
Carmen A. Núñez ◽  
Héctor Parra De Freitas
Keyword(s):  
Gauge Group ◽  
Moduli Space ◽  
Relevant Information ◽  
Duality Group ◽  
Simple Method ◽  
Gauge Groups ◽  
Heterotic Strings ◽  
Singular Fibers ◽  
Special Points ◽  
Extended Dynkin Diagram

Abstract Compactifications of the heterotic string on Td are the simplest, yet rich enough playgrounds to uncover swampland ideas: the U(1)d+16 left-moving gauge symmetry gets enhanced at special points in moduli space only to certain groups. We state criteria, based on lattice embedding techniques, to establish whether a gauge group is realized or not. For generic d, we further show how to obtain the moduli that lead to a given gauge group by modifying the method of deleting nodes in the extended Dynkin diagram of the Narain lattice II1,17. More general algorithms to explore the moduli space are also developed. For d = 1 and 2 we list all the maximally enhanced gauge groups, moduli, and other relevant information about the embedding in IId,d+16. In agreement with the duality between heterotic on T2 and F-theory on K3, all possible gauge groups on T2 match all possible ADE types of singular fibers of elliptic K3 surfaces. We also present a simple method to transform the moduli under the duality group, and we build the map that relates the charge lattices and moduli of the compactification of the E8 × E8 and Spin(32)/ℤ2 heterotic theories.

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