Anatoly Dymarsky

Title: Comments on holographic description of Narain theories.

Abstract: I will discuss to what extent holographic description of
Narain theories can mimic the conventional picture of large c
holography with weakly coupled gravity in the bulk. Namely is it
possible that the effective IR bulk theory consist of “$U(1)$
gravity” amended with some additional states. This picture leads to a
hypothesis that in the large central charge limit density of states of
any Narain theory would be bounded by below by that one of “$U(1)$
gravity.” This immediately implies maximal value of spectral gap of
primary fields is $Delta_1=c/(2pi e)$. In the rest of the talk I
will discuss self-consistency of this picture using quantum code and
chiral CFTs. First, I will show the proposed picture yields a new
bound on quantum stabilizer codes, which is compatible with previously
known bounds in the literature. Next, I will discuss variance of the
density of states, which for consistency, must be vanishingly small in
the large $c$ limit. I will consider ensembles of code and chiral
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