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Holomorphic generalisations of flavour branes

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BID - Quantum field theory with boundaries, impurities, and defects

N = 4 Super Yang-Mills with flavour can be studied at strong coupling by introducing light D7-branes into AdS_5 x S^5. In this talk, I will discuss a generalisation of this result where the mass now depends holomorphically on position. I will show that these are given by holomorphic embedding functions for the D7-branes and, moreover, they are BPS and solve the DBI equations of motion exactly. I will discuss both the supergravity and field theory interpretations of this result and understand the BPS condition from spacetime and worldvolume perspectives. I will conclude by showing how this result can be generalised to different supergravity backgrounds and classify which spacetimes admit such solutions.

This talk is part of the Isaac Newton Institute Seminar Series series.

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