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- Mathematically: What is SUSY? - Physics Stack Exchange
Mathematically, SUSY begins with the supersymmetry algebra, a Lie superalgebra, which is itself a special case of a more general class of algebras called graded Lie algebras Of central importance is the supersymmetry algebra referred to as the super-Poincare algebra that extends the Poincare algebra to include supersymmetry "charges" and their
- What if the LHC doesnt see SUSY? - Physics Stack Exchange
Absence of SUSY and string theory Clearly, if no SUSY were seen until 2012 or 2015 or 2020, the critics of string theory would be louder than ever before Within string theory, the anthropic voices and attempts to find a sensible vacuum with the SUSY breaking at a high-energy scale would strengthen But nothing would really change qualitatively
- Showing closure of the SUSY algebra of a free abelian gauge multiplet
The gauge transformation that occurs in addition of the translation can be removed if one works in the superspace formalism and retains all the extra auxiliary fields Another interesting, yet obvious, thing that occurs is if you take the commutator of the susy variations on a gauge invariant object you only get a translation $\endgroup$
- Decay of SUSY particles - Physics Stack Exchange
That is, if colliding (SM stuff) + (dark matter) --> (other SM stuff) + (charged SUSY particle), has such a HUGE cross section, and dark matter is everywhere, then we don't need the energy to create a SUSY particle to see SUSY particle, we only need roughly the energy difference between lightest SUSY and lightest charged SUSY particle In which
- special relativity - In what sense is SUSY a spacetime symmetry . . .
In 4d with N=1 susy, the series terminates at fourth order Also, in the comment above, acting with the exponential of a susy generator doesn't merely shift theta, it also changes x See Chapter 4 of Wess and Bagger The susy generators contain a theta derivative and a P term $\endgroup$ –
- What is the $\\mu$ problem in SUSY? - Physics Stack Exchange
Higgsinos that are vastly heavier than the actual Higgs mass would mean that the SUSY breaking (via higgs-higgsino mass difference) is extremely big and a big part of the hierarchy problem of the SM would re-emerge in the MSSM Too strong interactions of the Higgs bosons could also be a problem
- Naturalness, simplicity and SUSY - Physics Stack Exchange
i) SUSY is not natural There is a relatively "large" gap between the electroweak scale and the SUSY breaking scale, if it (SUSY) exists Then, the coupling constant of SUSY is not of order "one" with respect to the EW scale The size of the SUSY breaking scale makes it to suppress the production of SUSY particles ii) SUSY is not simple
- Geometric interpretation of hidden SUSY - Physics Stack Exchange
Hidden supersymmetry, which is the classical(non-super) symmetry in the form of susy, acting on a non-Grassmann space (e g , Grassmann space is $(t,x,\theta,\bar{\theta})$, corresponding non-Grassmann space is $(t,x)$) see the review article on hidden supersymmetry arXiv:1004 5489
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