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

<span style="color: rgb(33, 33, 33); font-family: wf_segoe-ui_normal, "Segoe UI", "Segoe WP", Tahoma, Arial, sans-serif; font-size: 13.3333px; background-

# Anatoly Dymarsky

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When:

January 5, 2021 @ 4:00 pm – 5:00 pm

2021-01-05T16:00:00+02:00

2021-01-05T17:00:00+02:00