TY - JOUR
T1 - The holographic landscape of symmetric product orbifolds
AU - Belin, Alexandre
AU - Castro, Alejandra
AU - Keller, Christoph A.
AU - Mühlmann, Beatrix
N1 - Funding Information:
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© 2020, The Author(s).
PY - 2020/1/1
Y1 - 2020/1/1
N2 - We investigate the growth of coefficients in the elliptic genus of symmetric product orbifolds at large central charge. We find that this landscape 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 AdS3. We provide a simple diagnostic which places any symmetric product orbifold in either region. We construct a class of elliptic genera with such supergravity-like growth, indicating the possible existence of new realizations of AdS3/CFT2 where the bulk is a semi-classical supergravity theory. In such cases, we give exact expressions for the BPS degeneracies, which could be matched with the spectrum of perturbative states in a dual supergravity description.
AB - We investigate the growth of coefficients in the elliptic genus of symmetric product orbifolds at large central charge. We find that this landscape 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 AdS3. We provide a simple diagnostic which places any symmetric product orbifold in either region. We construct a class of elliptic genera with such supergravity-like growth, indicating the possible existence of new realizations of AdS3/CFT2 where the bulk is a semi-classical supergravity theory. In such cases, we give exact expressions for the BPS degeneracies, which could be matched with the spectrum of perturbative states in a dual supergravity description.
KW - AdS-CFT Correspondence
KW - Black Holes in String Theory
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U2 - 10.1007/JHEP01(2020)111
DO - 10.1007/JHEP01(2020)111
M3 - Article
AN - SCOPUS:85078610884
VL - 2020
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 1
M1 - 111
ER -