PIRSA:19110098

The Holographic Landscape of Symmetric Product Orbifolds

Castro, A. (2019). The Holographic Landscape of Symmetric Product Orbifolds. Perimeter Institute. https://pirsa.org/19110098

Castro, Alejandra. The Holographic Landscape of Symmetric Product Orbifolds. Perimeter Institute, Nov. 20, 2019, https://pirsa.org/19110098 

          @misc{ pirsa_PIRSA:19110098,
            doi = {10.48660/19110098},
            url = {https://pirsa.org/19110098},
            author = {Castro, Alejandra},
            keywords = {Cosmology, Quantum Fields and Strings, Quantum Gravity},
            language = {en},
            title = {The Holographic Landscape of Symmetric Product Orbifolds},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {nov},
            note = {PIRSA:19110098 see, \url{https://pirsa.org}}
          }

Alejandra Castro University of Cambridge

DOI 10.48660/19110098
Collection
Talk Type Conference
Subject

Abstract

I will discuss the application of Siegel paramodular forms to constructing new examples of holography. These forms are relevant to investigate the growth of coefficients in the elliptic genus of symmetric product orbifolds at large central charge. The main finding is that the landscape of symmetric product theories decomposes into two regions. In one region, the growth of the low energy states is Hagedorn, which indicates a stringy dual. In the other, the growth is much slower, and compatible with the spectrum of a supergravity theory on AdS_3. I will provide a simple diagnostic which places any symmetric product orbifold in either region. The examples I will present open a path to novel realizations of AdS_3/CFT_2.