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arXiv · 1508.07055

SU(N) Multi-Skyrmions at Finite Volume

Fabrizio Canfora·Marco Di Mauro·Maxim A. Kurkov·Adele Naddeo
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Abstract

We study multi-soliton solutions of the four-dimensional SU(N) Skyrme model by combining the hedgehog ansatz for SU(N) based on the harmonic maps of $S^{2}$ into $CP^{N-1}$ and a geometrical trick which allows to analyze explicitly finite-volume effects without breaking the relevant symmetries of the ansatz. The geometric setup allows to introduce a parameter which is related to the 't Hooft coupling of a suitable large $N$ limit, in which $N\rightarrow\infty$ and the curvature of the background metric approaches zero, in such a way that their product is constant. The relevance of such a parameter to the physics of the system is pointed out. In particular, we discuss how the discrete symmetries of the configurations depend on it.

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Fabrizio Canfora, Marco Di Mauro, Maxim A. Kurkov, Adele Naddeo. 2015-09-29. SU(N) Multi-Skyrmions at Finite Volume. https://doi.org/10.1140/epjc%2Fs10052-015-3647-7

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