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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 The quadratic divergence from the top loop in the higgs mass calculation gives a A question in four parts

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What are the main problems which supersymmetry purports to solve I am struggling to understand the argument for why the introduction of a stop in susy can solve the hierarchy problem What would constitute lack of evidence for susy at the proposed lhc energy scales (e.g

I don't understand what this means

However, the quadratically divergent corrections are still absent. 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 However, susy representations furnish reducible poincaré representations, so supermultiplets in general correspond to multiple particles having the same mass, which are related by supersymmetry transforms In this context, the broader term multiplet is used interchangeably with supermultiplet.

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. It is known that in susy models, loop contributions are automatically zero leading to a technically natural solution of the higgs mass hierarchy problem In many susy books/notes, it is often show.

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.