Strings in flat space and plane waves from N = 4 super Yang Mills

Abstract

We explain how the string spectrum in flat space and plane waves arises from the large N limit of U(N) N = 4 super Yang Mills. We reproduce the spectrum by summing a subset of the planar Feynman diagrams. We also describe some other aspects of string propagation on plane wave backgrounds. This talk based on [1].

Does the SYK model have a spin glass phase?

“…In this section we assume that we are in the strong coupling limit C β. We use the results of [29,31] to compute the correlator in the Schwarzian…”

“…Here c 1 is a constant whose precise value will not be important to us. The factor (β/C) 3/2 exp −2π 2 C/β comes from the normalization by 1/Z [26,31]. We will analyze this formula in two limits.…”

“…In their notation, we set = 1/2 (the dimension of the operator G q/2 ). We thank Zhenbin Yang for sharing an early draft of[31].…”

Loop corrections to the antibrane potential

“…Here we have written the quadrilinear term as the sum of an F-term and a D-term, as we will shortly write part of the Lagrangian in terms of an N = 1 superpotential and, as is well-known, the F-term part of the quadrilinear interaction of N = 4 SYM is contained in the superpotential, while the D-term part is not (see for example [44]). We can identify the bilinear and trilinear scalar interactions in the language of soft supersymmetry-breaking.…”