(6.16) At the same time, it is simple to verify that the three-point functions are zero. Hence the correlators for m = 2 can be decomposed over the exchange of (∂J Z3∂J′Z1) only, plus descendants. For clarity, let's point out that for general m the result (6.13) does ...
( 255 ). fortunately, there exists a simple nudge to the formulas ( 255 ), ( 258 ), making everything fall in place. we endow \(m'\) with the kähler metric \({\varpi }_{\zeta } =dd^{c} k_{\zeta }\) , with $$\begin{aligned} k_{\zeta } = \frac{|z_{1}|^{2}...
\(d=4\) correspond to scalars, fermions. our analysis is set in the euclidean case. the transition to minkowski space can be performed by a simple analytical continuation of the correlation functions, since we will be dealing with free field theory realizations. the bare effective action will ...
Therefore, let us roughly divide the spacetime made by the D3-brane into AdS5×S5 near the origin and the nearly flat spacetime around: (supergravity on AdS5×S5) + (supergravity in the 10-dimensional flat spacetime) As we will see in Chap. 6, the AdS5 spacetime has the SO(2,4) ...
One can find the anomalous dimension\gamma _isolving a simple equation obtained, as in the single field case, applying\Box _x\Box _yto Eq. (2.4). One gets \begin{aligned} \langle \tilde{V}_a(x) \tilde{V}_b(y) \rangle = \Box ^2_x\frac{\tilde{c}}{|x-y|^{2\Delta }}\...
These integrals cannot be done in a simple form that we are aware of, and when we close these contours, we pick up an infinite sequence of poles. This result dovetails with the statement in flat space scattering amplitudes that a unitarity cut of a two-loop diagram factorizes it into a ...
(2.66) (2.67) – 13 – 2.5 Simple gauged WZW models as null gauging In the following sections we will consider various examples of WZW models G = GL × GR and gauge a null subgroup H = HL × HR with HL = U(1) and HR = U(1). The corresponding coset theories are usually ...
0 (A.1) The only singularities of Q in the finite part of the complex plane are simple poles at non-positive integer α. Analyticity in α for Re α > 0 easily follows from the integral representation. It is also easy to develop asymptotic expansions at small and large α. At large ...
Then the infalling source would be described by the bulk matter energy- momentum tensor, which in turn would be made up of bulk matter fields. These couple to the CFT through their boundary values; there is a considerable literature on how to create localized bulk fields (that constitute the...
Published for SISSA by Springer Received: June 19, 2021 Accepted: August 10, 2021 Published: September 6, 2021 Notes on flat-space limit of AdS/CFT Yue-Zhou Li Department of Physics, McGill University, 3600 Rue University, Montréal, H3A 2T8, QC Canada E-mail: liyuezhou@physics.mcgill....