Intersecting branes, defect conformal theories and tensionless strings

Abstract

The defect conformal field theory describing intersecting D3-branes at a C 2 /Z k orbifold is used to (de)construct the theory of intersecting M5-branes, as well as M5-branes wrapping the holomorphic curve xy = c. The possibility of a 't Hooft anomaly due to tensionless strings at the intersection is discussed. This note is based on a talk given by Zachary Guralnik at the 35th International Symposium Ahrenshoop on the Theory of Elementary Particles.

Generalizations of the AdS/CFT correspondence

“…For details of this deconstruction please see Sec. 4.4 which is based on [118,119]. We will study further the defect conformal field theory associated with two stacks of D3-branes intersecting each other over a 1+1-dimensional subspace.…”

BPS preons and tensionless super-p-branes in generalized superspace

“…(14) into the action of null-super-p-brane in the usual D = 3, 4, 6, 10 superspaces (see [29] for D=4) by substituting Γ αβ µ Π µ m ≡ Γ αβ µ (∂ m x µ − i∂ m θΓ µ θ) for Π αβ m . Tensionless strings and p-branes in usual spacetime and usual superspace were discussed many times in the context of superstring/M-theory [33]- [36], [29], [37]- [43] (see [29,41] for more references). In particular, they appear as singularities in K3 compactification of superstring theory down to six dimensions which connect all known supersymmetric six dimensional vacua [39].…”

A World-Volume Perspective on the Recombination of Intersecting Branes

“…Some of the earliest studies of such impurity field theories may be found in [24,25,26]. In many instances, this theory is a non-trivial defect conformal field theory [27,28,29,4,5,6,7]), or dCFT. In this section we review the superspace description of defect field theories and expand upon some results [5] concerning the Higgs branch of the dCFT describing intersecting D3-branes.…”

“…This superspace may also be used to described the fields in the ambient space which are not localized at the impurity. The formalism in which degrees of freedom in higher dimensions are described in a lower-dimensional superspace was developed originally in [2,3] and has been applied to study a number of theories, including the defect conformal theories which arise for systems of interesecting branes [4,5,6,7].…”