2018/06/18 by Robert de Mello Koch, Jia-Hui Huang, Laila Tribelhorn
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Gauge theory #Hilbert space #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Planar #Quantum mechanics #hep-th
paper · pdf · doi:10.1007/jhep07(2018)146
30 pages plus Appendices
arxiv created 2018/06/18 · openalex created_date 2018/06/21 · openalex publication_date 2018/07/01 · arxiv updated 2018/08/15 · openalex updated_date 2026/08/05
A bstract We study excitations of LLM geometries. These geometries arise from the backreaction of a condensate of giant gravitons. Excitations of the condensed branes are open strings, which give rise to an emergent Yang-Mills theory at low energy. We study the dynamics of the planar limit of these emergent gauge theories, accumulating evidence that they are planar N=4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> super Yang-Mills. There are three observations supporting this conclusion: (i) we argue for an isomorphism between the planar Hilbert space of the original N=4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> super Yang-Mills and the planar Hilbert space of the emergent gauge theory, (ii) we argue that the OPE coefficients of the planar limit of the emergent gauge theory vanish and (iii) we argue that the planar spectrum of anomalous dimensions of the emergent gauge theory is that of planar N=4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> super Yang-Mills. Despite the fact that the planar limit of the emergent gauge theory is planar N=4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> super Yang-Mills, we explain why the emergent gauge theory is not N=4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> super Yang-Mills theory.