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In particle physics, supersymmetry (often abbreviated susy) is a symmetry that relates elementary particles of one spin to other particles that differ by half a unit of spin and are I am looking for resources that construct and justify the index notation given to the weyl spinors, especially van der waerden spinor notation. A question in four parts

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What are the main problems which supersymmetry purports to solve 2 i am currently trying to read into susy and i am running into trouble with the van der waerden spinor notation for weyl spinors What would constitute lack of evidence for susy at the proposed lhc energy scales (e.g

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I don't understand what this means

In strathdeee's extended poincare supersymmetry, the first entry on page 16 lists the massless multiplets of 6d $\\mathcal{n} = (1,0)$ supersymmetry as $2^2 = (2,1 1 this question already has answers here Number of supersymmetric charge and the meaning of $\cal n$ (2 answers) what's the $ {\cal n}$ for susy theories 4 supergravity by daniel z freedman and antoine van proeyen is quite excellent for illustrating clifford algebra techniques and calculations in the classical susy/sugra in general (in the component formalism)

The book has several calculations illustrated and plenty of exercises. So what is the general mathematical definition of bps states which is independent of the theory in consideration, say a general susy quantum field theories, be it qft, string theory, gravity and in any dimension. One of the advantages of supersymmetry in phenomenology is that the bosons and fermions cancel their quadratically divergent loop corrections to the higgs mass I am struggling to understand the argument for why the introduction of a stop in susy can solve the hierarchy problem

The quadratic divergence from the top loop in the higgs mass calculation gives a