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Abstract: Let $B$ be a finite CW complex and $G$ a compact connected Lie group. We show that the number of gauge groups of principal $G$-bundles over $B$ is finite up to $A_n$-equivalence for $n<\inft...
Enhanced Gauge Groups in N=4 Topological Amplitudes and Lorentzian Borcherds Algebras
Gauge Groups Topological Amplitudes Lorentzian Borcherds Algebras
2011/9/30
Abstract: We continue our study of algebraic properties of N=4 topological amplitudes in heterotic string theory compactified on T^2, initiated in arXiv:1102.1821. In this work we evaluate a particula...
OWR: Universal central extensions of gauge groups
Universal central extensions gauge groups
2011/3/1
We indicate how to calculate the universal central extension of the gauge algebra (ad(P)), and how to obtain from this the corresponding universal central extension of the gauge group И...
Operator algebra quantum homogeneous spaces of universal gauge groups
quantum groups quantum homogeneous spaces universal gauge
2011/3/1
In this paper, we quantize universal gauge groups such as SU(∞), as well as their homogeneous spaces, in the -C-algebra setting.
Operator algebra quantum groups of universal gauge groups
Operator algebra quantum groups universal gauge groups
2010/11/11
In this paper, we quantize universal gauge groups such as SU(\infty), in the sigma-C*-algebra setting. More precisely, we propose a concise definition of sigma-C*-quantum groups and explain the conce...