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In this work, we explore the possible existence of several critical endpointsin the phase diagram of strongly interacting matter using an extended PNJLmodel with 't Hooft determinant and eight quark interactions in the up, downand strange sectors. Besides, we also study the isentropic trajectoriescrossing both (light and strange) chiral phase transitions and around thecritical endpoint in both the crossover and first-order transition regions.

The strange critical endpoint and isentropic trajectories in an Extended PNJL Model with Eight Quark Interactions