Abstract
We investigate \( \mathcal{N}=2 \) super-Yang-Mills theory on a three sphere in the presence of an isospin chemical potential at strong coupling using the AdS/CFT correspondence. This system exhibits an instability for sufficiently large values of the chemical potential. In contrast to other related models, the first excitation to condense is not a vector meson but rather a scalar charged under the global SO(4) symmetry group. Furthermore, the spectrum of fluctuations exhibits an interesting cross-over behaviour as a function of the dimensionless temperature. We construct the new ground state of the non-linear theory.
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ArXiv ePrint: 1210.6188
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Chunlen, S., Peeters, K., Vanichchapongjaroen, P. et al. Instability of \( \mathcal{N}=2 \) gauge theory in compact space with an isospin chemical potential. J. High Energ. Phys. 2013, 35 (2013). https://doi.org/10.1007/JHEP01(2013)035
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DOI: https://doi.org/10.1007/JHEP01(2013)035