Progress in the lattice simulations of Sp(2N) gauge theories

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We report on the status of our programme to simulate Sp($2N$) gauge theories on the lattice.

• Motivated by the potential realization of an SU($4$)/Sp($4$)$\sim$SO($6$)/SO($5$) composite Higgs model and the applications to self interacting dark matter, we first perform dynamical simulations of Sp($4$) theories with two Dirac flavors in the fundamental representation.
• Preliminary results of the meson spectrum are presented, along with discussion of the lattice systematics.
• We also introduce two-index anti-symmetric Dirac fermions.