# A holographic effective field theory for a strongly coupled metal with a Fermi surface

### APA

Else, D. (2023). A holographic effective field theory for a strongly coupled metal with a Fermi surface. Perimeter Institute. https://pirsa.org/23060098

### MLA

Else, Dominic. A holographic effective field theory for a strongly coupled metal with a Fermi surface. Perimeter Institute, Jun. 06, 2023, https://pirsa.org/23060098

### BibTex

@misc{ pirsa_PIRSA:23060098, doi = {10.48660/23060098}, url = {https://pirsa.org/23060098}, author = {Else, Dominic}, keywords = {Quantum Fields and Strings}, language = {en}, title = {A holographic effective field theory for a strongly coupled metal with a Fermi surface}, publisher = {Perimeter Institute}, year = {2023}, month = {jun}, note = {PIRSA:23060098 see, \url{https://pirsa.org}} }

Dominic Else Perimeter Institute for Theoretical Physics

## Abstract

The holographic duality between strongly coupled quantum field theories and weakly coupled gravitational theories in one higher dimension holds, in principle, the promise of understanding strongly coupled systems that occur in condensed matter physics, such as the "strange" metals that appear in materials such as high-Tc cuprates. Unfortunately, the holographic models of metals that have previously been studied have not been successful in capturing even the most basic physics that any realistic model of a metal should obey. In this talk, I will review the essential properties that any metal (strongly coupled or not) must satisfy, and propose a new holographic model that is consistent with these requirements. The new model is based on a radically different approach compared with previous holographic models of metals, and crucially relies on recent work that formulates in a precise way the conditions for an IR effective field theory to be "emergeable" from a UV theory at nonzero charge density. In particular, the holographic model I study is dual to a quantum field theory with a global symmetry group LU(1) -- the "loop group" whose elements are smooth functions from the circle into U(1). I present the results of a solution of the model and argue that its properties are qualitatively consistent with what one should expect to find in a strongly coupled metal.

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