Quantum Extended Supersymmetries
Dan Radu Grigore, Gunter Scharf
TL;DR
This paper investigates quantum multiplets in extended supersymmetries, analyzing their (anti)commutation relations and the constraints imposed by positivity, highlighting challenges in extending the standard model with these symmetries.
Contribution
It provides a detailed analysis of quantum multiplets and the restrictions on models with extended supersymmetries, emphasizing the difficulties in quantum extensions of the standard model.
Findings
Positivity constraints severely restrict quantum models with extended supersymmetries
Analysis of causal (anti)commutation relations in quantum multiplets
Challenges in constructing quantum extensions of the standard model with extended supersymmetries
Abstract
We analyse some quantum multiplets associated with extended supersymmetries. We study in detail the general form of the causal (anti)commutation relations. The condition of positivity of the scalar product imposes severe restrictions on the (quantum) model. It is problematic if one can find out quantum extensions of the standard model with extended supersymmetries.
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