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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. 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)

Susy Gala

The book has several calculations illustrated and plenty of exercises. 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 A question in four parts

What are the main problems which supersymmetry purports to solve

What would constitute lack of evidence for susy at the proposed lhc energy scales (e.g 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 I don't understand what this means 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.

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 I have an idea of supersymmetry in quantum mechanics, can you suggest a book on supersymmetry in quantum field theory, which has sufficient mathematical rigour like peskin and schroeder One of the advantages of supersymmetry in phenomenology is that the bosons and fermions cancel their quadratically divergent loop corrections to the higgs mass