Chapter 4 The Constable-Myers Geometry 4.1 The Background We showed in chapter 3 that D7 probe branes can be used to include quarks in holographic duals. However, the resulting theory still had a massless quark condensate. Here we take a step back, and before introducing quarks, we consider a gravity dual where supersymmetry has already been broken. The Constable-Myers geometry, first studied in [109], is a consistent solution to the type IIB supergravity equations of motion. We state the solution first, and then describe its properties. In the Einstein frame, the geometry is given by: ds 2 = $_{H}$− 1 / $^{2}$f δ/ $^{4}$dx2 4 + R $^{2}$H1 / $^{2}$f (2 − δ ) / $_{4}$w 4 − b 4 w 4 6 ∑ i =1 dw 2 i (4.1) where H = f δ − 1 , f = w 4 + b 4 w 4 − b 4 (4.2) 58