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M5 brane on \( {\mathbb{R}^{{{1},{2}}}} \times {S^3} \)

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Abstract

We deconstruct 16 rigid supersymmetry variations for M5 brane on \( {\mathbb{R}^{{{1},{2}}}} \times ({S^{{3}}}/{\mathbb{Z}_k}) \) and obtain on-shell closure on Lie derivatives. Dimensional reduction on the Hopf fiber by taking k → ∞ gives sYM on \( {\mathbb{R}^{{{1},{2}}}} \times {S^{{2}}} \) with 8 rigid supersymmetries. We reproduce the result in arXiv:0908.3263 but we also derive an additional graviphoton term which is associated with the twisting of the Hopf bundle.

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  1. Physics Department, University of Seoul, 13 Siripdae, Seoul, 130-743, South Korea

    Andreas Gustavsson

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  1. Andreas Gustavsson
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Correspondence to Andreas Gustavsson.

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Gustavsson, A. M5 brane on \( {\mathbb{R}^{{{1},{2}}}} \times {S^3} \) . J. High Energ. Phys. 2012, 57 (2012). https://doi.org/10.1007/JHEP01(2012)057

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  • DOI: https://doi.org/10.1007/JHEP01(2012)057

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