arXiv subjects

M. Schmidt-Sommerfeld

Publications and source records attributed to M. Schmidt-Sommerfeld.

3 recordsLinked to original sources

arXiv2015

Instanton Operators in Five-Dimensional Gauge Theories

We discuss instanton operators in five-dimensional gauge theories. These are defined as disorder operators which create a non-vanishing second Chern class on a four-sphere surrounding their insertion point. As such they may be thought of as higher-dimensional analogues of three-dimensional monopole (or `t Hooft) operators. We argue that they play an important role in the enhancement of the Lorentz symmetry for maximally supersymmetric Yang-Mills to SO(1,5) at strong coupling.

hep-th↗

arXiv2013

Deconstructing (2,0) Proposals

We examine the relationships between three proposals for the six-dimensional (2,0) theory: the DLCQ of hep-th/9707079, hep-th/9712117, the deconstruction prescription of hep-th/0110146, and the five-dimensional maximally supersymmetric Yang-Mills proposal of 1012.2880, 1012.2882. We show that hep-th/0110146 gives a deconstruction of five-dimensional maximally supersymmetric Yang-Mills. The proposal of hep-th/9707079, hep-th/9712117 uses a subset of the degrees of freedom of five-dimensional Yang-Mills and we show that compactification of it on a circle of finite radius agrees with the DLCQ arising from the proposal of 1012.2880, 1012.2882 or from the deconstruction proposal of hep-th/0110146.

hep-th↗

arXiv2005

On the Neutral Scalar Sector of the General R-parity Violating MSSM

Starting out from the most general, gauge invariant and renormalizable scalar potential of the R-parity violating MSSM and performing a calculable rotation to the scalar fields we arrive at a basis where the sneutrino VEVs are zero. The advantage of our rotation is that, in addition, we obtain diagonal soft supersymmetry breaking sneutrino masses and all potential parameters and VEVs real, proving that the MSSM scalar potential does not exhibit spontaneous or explicit CP-violation at tree level. The model has five CP-even and four CP-odd physical neutral scalars, with at least one CP-even scalar lighter than M_Z. We parametrise the neutral scalar sector in a way that resembles the parametrisation of the R-parity conserving MSSM, analyze its mass spectrum, the coupling to the gauge sector and the stability of the potential.

hep-ph↗