Top-down constructions and their phenomenology
In order to apply holography to condensed matter physics we need to establish bulk models that allow AdS solutions, typically in four or five dimensions, containing the right operator spectrum to be able to describe the various ordered or disordered ground states of strongly correlated quantum matter. A fruitful approach takes a phenomenological angle, positing lower-dimensional theories of the right type to capture, for example, the physics of superconductivity.
Such a set up has been studied by [Hartnoll, Herzog and Horowitz], using a phenomenological theory of gravity in four dimensions coupled to a single charged scalar field and it has been shown that, for certain parameters, the system manifests superconductivity in three spacetime dimensions. It is important to go beyond such models and construct solutions in the context of string/M-theory so that there is a consistent underlying quantum theory and CFT dual.
For an overview of topics I am interested in, I recommend consulting some of my work on this subject:
Such a set up has been studied by [Hartnoll, Herzog and Horowitz], using a phenomenological theory of gravity in four dimensions coupled to a single charged scalar field and it has been shown that, for certain parameters, the system manifests superconductivity in three spacetime dimensions. It is important to go beyond such models and construct solutions in the context of string/M-theory so that there is a consistent underlying quantum theory and CFT dual.
For an overview of topics I am interested in, I recommend consulting some of my work on this subject:
- Holographic Superconductivity in M-Theory [Phys.Rev.Lett. 103 (2009)]: abstract
- Fermi surfaces and spectral functions [Phys.Rev.Lett. 107 (2011)]: abstract
Talk at Simons Center (New York, USA) - Competing Orders: stripes, superconductivity and metamagnestism [JHEP 1303 (2013) 108]: abstract
