arXiv subjects

Seraphim Jarov

Publications and source records attributed to Seraphim Jarov.

4 recordsLinked to original sources

arXiv2025

Twisted holography from the B-model on a 7-fold

I study a topological string construction of the holographic duality between Kodaira-Spencer gravity on the Calabi-Yau 7-fold $\mathcal{O}(-1)^4\to\mathbb{PT}$ in the presence of a stack of $N$ backreacted D5 branes wrapping twistor space, $\mathbb{PT}$. The theory on the stack of branes is the twistor uplift of self-dual $\mathcal{N}=4$ gauge theory. I show that turning on a bulk superpotential and twisting the brane theory by the dual supercharge reduces the duality to twisted holography which relates the B-model on AdS$_3\times S^3\cong SL(2,\mathbb{C})$ to the 2d chiral algebra subsector of $\mathcal{N}=4$. I do an analogous computation for the twistor uplift of self-dual $\mathcal{N}=2$ by working on the Calabi-Yau 7-fold $\mathcal{O}(-2,-2)\oplus \mathcal{O}(0,-1)^2\to\mathbb{CP}^1\times\mathbb{PT}$. I also connect twists of the twistor uplift of self-dual $\mathcal{N}=4$ with the matrix model found by supersymmetric localization on $S^4$ and the Dijkgraaf-Vafa matrix model construction.

hep-th↗

arXiv2025

Higher genus twistor spaces and the celestial torus

This paper studies novel four-dimensional integrable field theories that are deformations of self-dual Yang-Mills. They are engineered by considering holomorphic Chern-Simons and BF type theories on covers of twistor space obtained by pulling back the vector bundle $\mathcal{O}(1)^2\to\mathbb{CP}^1$ to hyperelliptic or elliptic curves. Compactifying to 4d yields an integrable theory, which in the examples I study, are determined to leading order. The form of the higher-order corrections are bootstrapped, and I argue that the index structure and coefficients of these terms are fixed by integrability. The celestial chiral algebras of these theories are shown to live on hyper-elliptic and elliptic curves, respectively. Symmetry reducing these integrable deformations to 2d yields an example of a hyperelliptic and elliptic integrable model governing a deformation of Hitchin's equations.

hep-th↗

arXiv2024

A new method to distinguish gravitational-wave signals from detector noise transients with Gravity Spy

The Advanced LIGO and Advanced Virgo detectors have enabled the confident detection of dozens of mergers of black holes and neutron stars. However, the presence of detector noise transients (glitches) hinders the search for these gravitational wave (GW) signals. We prototyped a restructuring of Gravity Spy's classification model to distinguish between glitches and astrophysical signals. Our method is able to correctly classify three-quarters of retracted candidate events in O3b as non-astrophysical and 100\% of the confirmed astrophysical events as true signals. This approach will inform candidate event validation efforts in the latest observing run.

gr-qc↗

arXiv2023

Mapping the space of quantum expectation values

For a quantum system with Hilbert space ${\cal H}$ of dimension $N$ and a set $S$ of $n$ Hermitian operators ${\cal O}_i$, a basic question is to understand the set $E_S \subset \mathbb{R}^n$ of points $\vec{e}$ where $e_i = {\rm tr}(ρ{\cal O}_i)$ for an allowed state $ρ$. A related question is to determine whether a given set of expectation values $\vec{e}$ lies in $E_S$ and in this case to describe the most general state with these expectation values. In this paper, we describe various ways to characterize $E_S$, reviewing basic results that are perhaps not widely known and adding new ones. One important result (originally due to E. Wichmann) is that for a set $S$ of linearly independent traceless operators, every set of expectation values $\vec{e}$ in the interior of $E_S$ is achieved uniquely by a state of the form $ρ({\vecβ}) = e^{-\sum_i β_i {\cal O}_i}/{\rm tr}(e^{-\sum_i β_i {\cal O}_i})$ for ${\cal O}_i \in S$. In fact, the map $\vecβ \to \vec{E}(\vecβ) = {\rm tr}(\vec{\cal O} ρ({\vecβ}))$ is a diffeomorphism from $\mathbb{R}^n$ to the interior of $E_S$ with symmetric, positive Jacobian; using this fact, we provide an algorithm to invert $\vec{E}(\vecβ)$ and thus determine a state $ρ({\vecβ(\vec{e})})$ with specified expectation values $\vec{e}$ provided that these lie in $E_S$. The algorithm is based on defining a first order differential equation in the space of parameters $\vecβ$ that is guaranteed to converge to $\vecβ(\vec{e})$ in a precise way, with $|\vec{E}(\vecβ(t)) - \vec{e}| = C e^{-t}$.

quant-ph↗