$\mathcal N=3$ four dimensional field theories

Iñaki García-Etxebarria; Diego Regalado

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arXiv · 1708.03906

$\mathcal N=3$ four dimensional field theories

Iñaki García-Etxebarria·Diego Regalado

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Abstract

We briefly review a class of four dimensional $\mathcal N=3$ field theories constructed by taking a quotient of $\mathcal N=4$ SYM with gauge group $U(N)$. The quotient involves a discrete symmetry that only exists for specific, order one, values of the coupling constant, so the resulting theories are intrinsically strongly coupled. These theories admit a simple realization in string theory as the worldvolume theory of a stack of D3 branes probing a generalized orientifold plane, or S-fold. Their holographic dual is given by a non-trivial F-theory fibration over $AdS_5 \times S^5/\mathbb Z_k$ which is weakly curved but with the string coupling frozen at an order one value.

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Iñaki García-Etxebarria, Diego Regalado. 2017-08-13. $\mathcal N=3$ four dimensional field theories. https://arxiv.org/abs/1708.03906

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