196 citations · 2.1k across the 92 of their papers we have counts for
80 papers · 1 filter
A Tale of Two Compact Bosons
Christian Ferko, Vishnu Jejjala, Brandon Robinson
Neural network field theory (NN-FT) defines a field theory by a network architecture together with a probability density on its latent variables. For compact theories the local Gau…
Balanced Metrics Know About SYZ
Per Berglund, Tristan Hübsch, Vishnu Jejjala +2
Numerical Ricci-flat metrics on Calabi-Yau manifolds are becoming increasingly accurate. However, they often lack the interpretability required to extract theoretical insights. In…
Fortuity and Complexity in a Simple Quark Model
Jackson R. Fliss, Vishnu Jejjala, Onkar Parrikar
We observe and elaborate on a structural similarity between the categorization of monotone and fortuitous BPS operators in supersymmetric theories and gauge invariant quark operato…
Anomalies in Neural Network Field Theory
Christian Ferko, Samuel Frank, James Halverson +1
Neural network field theory (NN-FT) formulates field theory in terms of a network architecture and a density on its parameters. We derive Schwinger--Dyson equations and Ward identi…
What to do with a Ricci-flat Calabi--Yau metric?
Per Berglund, Tristan Hübsch, Vishnu Jejjala
Numerical approximations to Ricci-flat Calabi--Yau metrics make it possible to move beyond the topological and holomorphic data that have traditionally dominated explicit string co…
Topological Effects in Neural Network Field Theory
Christian Ferko, James Halverson, Vishnu Jejjala +1
Neural network field theory formulates field theory as a statistical ensemble of fields defined by a network architecture and a density on its parameters. We extend the constructio…
Machine learning modularity
Yi Fan, Vishnu Jejjala, Yang Lei
Based on a transformer based sequence-to-sequence architecture combined with a dynamic batching algorithm, this work introduces a machine learning framework for automatically simpl…
On isomorphisms between quiver Yangians
Vishnu Jejjala, Dumisani Nxumalo, Konstantinos Zoubos
Quiver Yangians are infinite-dimensional algebras capturing the BPS structure of a large class of supersymmetric models. Quiver theories related by Seiberg duality are expected to…
The Vacuum Moduli Space of the Minimal Supersymmetric Standard Model
Yang-Hui He, Vishnu Jejjala, Brent D. Nelson +2
A starting point in the study of the minimal supersymmetric Standard Model (MSSM) is the vacuum moduli space, which is a highly complicated algebraic variety: it is the image of an…
Vacuum Geometry of the Standard Model
Yang-Hui He, Vishnu Jejjala, Brent D. Nelson +2
Vacuum structure of a quantum field theory is a crucial property. In theories with extended symmetries, such as supersymmetric gauge theories, the vacuum is typically a continuous…
Machine learning automorphic forms for black holes
Vishnu Jejjala, Suresh Nampuri, Dumisani Nxumalo +2
Modular, Jacobi, and mock-modular forms serve as generating functions for BPS black hole degeneracies. By training feed-forward neural networks on Fourier coefficients of automorph…
Dynamical Dark Energy, Dual Spacetime, and DESI
Sunhaeng Hur, Vishnu Jejjala, Michael J. Kavic +2
In this paper we discuss possible consequences of a manifestly non-commutative and -duality covariant formulation of string theory on dark energy, when the correspondence betwee…
Metaheuristic Generation of Brane Tilings
Yang-Hui He, Vishnu Jejjala, Tomás S. R. Silva
The combinatorics of dimer models on brane tilings describe a large class of four-dimensional gauge theories that afford quiver descriptions and have toric moduli s…
cymyc -- Calabi-Yau Metrics, Yukawas, and Curvature
Per Berglund, Giorgi Butbaia, Tristan Hübsch +4
We introduce \texttt{cymyc}, a high-performance Python library for numerical investigation of the geometry of a large class of string compactification manifolds and their associate…
Precision String Phenomenology
Per Berglund, Giorgi Butbaia, Tristan Hübsch +4
Calabi--Yau compactifications of the heterotic string provide a promising route to recovering the four-dimensional particle physics described by the Standard Model.…
Generating Triangulations and Fibrations with Reinforcement Learning
Per Berglund, Giorgi Butbaia, Yang-Hui He +3
We apply reinforcement learning (RL) to generate fine regular star triangulations of reflexive polytopes, that give rise to smooth Calabi-Yau (CY) hypersurfaces. We demonstrate tha…
Physical Yukawa Couplings in Heterotic String Compactifications
Giorgi Butbaia, Damián Mayorga Peña, Justin Tan +4
One of the challenges of heterotic compactification on a Calabi-Yau threefold is to determine the physical Yukawa couplings of the resulting four-dimensional $\ma…
Learning holographic horizons
Vishnu Jejjala, Sukrut Mondkar, Ayan Mukhopadhyay +1
We apply machine learning to understand fundamental aspects of holographic duality, specifically the entropies obtained from the apparent and event horizon areas. We show that simp…
New Calabi-Yau Manifolds from Genetic Algorithms
Per Berglund, Yang-Hui He, Elli Heyes +3
Calabi-Yau manifolds can be obtained as hypersurfaces in toric varieties built from reflexive polytopes. We generate reflexive polytopes in various dimensions using a genetic algor…
Machine Learned Calabi-Yau Metrics and Curvature
Per Berglund, Giorgi Butbaia, Tristan Hübsch +4
Finding Ricci-flat (Calabi-Yau) metrics is a long standing problem in geometry with deep implications for string theory and phenomenology. A new attack on this problem uses neural…
Modular factorization of superconformal indices
Vishnu Jejjala, Yang Lei, Sam van Leuven +1
Superconformal indices of four-dimensional gauge theories factorize into holomorphic blocks. We interpret this as a modular property resulting from the combined act…
Identifying equivalent Calabi--Yau topologies: A discrete challenge from math and physics for machine learning
Vishnu Jejjala, Washington Taylor, Andrew Turner
We review briefly the characteristic topological data of Calabi--Yau threefolds and focus on the question of when two threefolds are equivalent through related topological data. Th…
Quantum Gravity and Phenomenology: Dark Matter, Dark Energy, Vacuum Selection, Emergent Spacetime, and Wormholes
Per Berglund, De-Chang Dai, Douglas Edmonds +9
We discuss the relevance of quantum gravity to the frontier questions in high energy phenomenology: the problems of dark matter, dark energy, and vacuum selection as well as the pr…
(K)not machine learning
Jessica Craven, Mark Hughes, Vishnu Jejjala +1
We review recent efforts to machine learn relations between knot invariants. Because these knot invariants have meaning in physics, we explore aspects of Chern-Simons theory and hi…