Abstract
We study the orientifold projections of the N=1 superconformal field theories describing D3-branes probing the Pseudo del Pezzo singularities PdP3b and PdP3c. The PdP3c parent theory admits two inequivalent orientifolds. Exploiting a maximization, we find that one of the two has an a-charge smaller than what one would expect from the orientifold projection, which suggests that the theory flows to the fixed point in the infrared. Surprisingly, the value of a coincides with the charge of the unoriented PdP3b and we interpret this as the sign of an infrared duality.
Highlights
We study the orientifold projections of the N = 1 superconformal field theories describing D3-branes probing the Pseudo del Pezzo singularities PdP3b and PdP3c
The AdS/CFT correspondence, in its original formulation, states that the 4 dimensional N = 4 SU(N) SYM gauge theory living on the worldvolume of a stack of N D3-branes in flat space is dual to type-IIB supergravity on an AdS5 × S5 background in the large N limit [1,2,3]
A toric cone has at least a U(1)3 isometry and its base H5 is a T 3 fibration over a convex polygon known as the toric diagram
Summary
If applied to the dP2 theory, corresponding to the complex cone over the del Pezzo surface obtained by the blowup of 2 generic points of P 2, this gives rise to either dP3 or the Pseudo del Pezzo geometries PdP3b or PdP3c if the blow-up is nongeneric [11,12] The latter two theories, whose toric diagrams are drawn, are the ones we are interested in. There is a systematic procedure to determine, up to Seiberg dualities, the field content and the superpotential of the gauge theory This information is encoded in a bipartite graph representing a web of NS5-branes, which is called dimer [13,14,15,16,17]. This IR duality could be inherited by the relation between the parent theories, which are connected by a web of dualities involving specular [27,28] and Seiberg duality [29,30]
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