  The study of first order transition (explosive synchronization) in an
ensemble (network) of coupled oscillators has been the topic of paramount
interest among the researchers for more than onedecade. Several frameworks have
been proposed to induce explosive synchronization in a network and it has been
reported that phase frustration in a network usually suppresses first order
transition in the presence of pairwise interactions among the oscillators.
However, on the contrary, by considering networks of phase frustrated coupled
oscillators in the presence of higher order interactions (upto 2-simplexes) we
show here under certain conditions, phase frustration can promote explosive
synchronization in a network. A reduced order model of the network in the
thermodynamic limit is derived using the Ott-Antonsen ansatz to explain this
surprising result. Analytical treatment of the reduced order model including
bifurcation analysis explains the apparent counter intuitive result quite
clearly.
