Abstract
We study the quantum mechanical σ-model arising in the discrete light-cone quantisation of \( \mathcal{N}=4 \) supersymmetric Yang-Mills theory. The target space is a certain torus fibration over a scale-invariant special Kähler manifold. We show that the expected SU(1, 1|4) light-cone superconformal invariance of the \( \mathcal{N}=4 \) theory emerges in a limit where the volume of the fibre goes to zero and give an explicit construction of the generators. The construction given here yields a large new family of superconformal quantum mechanical models with SU(1, 1|4) invariance.
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Dorey, N., Singleton, A. Superconformal quantum mechanics and the discrete light-cone quantisation of \( \mathcal{N}=4 \) SUSY Yang-Mills. J. High Energ. Phys. 2015, 67 (2015). https://doi.org/10.1007/JHEP02(2015)067
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DOI: https://doi.org/10.1007/JHEP02(2015)067