18 citations · 31 across the 13 of their papers we have counts for
14 papers
Interpreting the Synchronization Gap: The Hidden Mechanism Inside Diffusion Transformers
Emil Albrychiewicz, Andrés Franco Valiente, Li-Ching Chen +1
Recent theoretical models of diffusion processes, conceptualized as coupled Ornstein-Uhlenbeck systems, predict a hierarchy of interaction timescales, and consequently, the existen…
Dynamical Regimes of Multimodal Diffusion Models
Emil Albrychiewicz, Andrés Franco Valiente, Li-Ching Chen
Diffusion based generative models have achieved unprecedented fidelity in synthesizing high dimensional data, yet the theoretical mechanisms governing multimodal generation remain…
Nil-Equivariant Tropological Sigma Models on Filtered Geometries
Emil Albrychiewicz, Andrés Franco Valiente, Christopher Stites
We investigate the behavior of tropological (tropical topological) sigma models on higher dimensional target spaces and show that higher dimensional spaces explicitly admit nested…
Notes on the Quantization of Tropological Yang Mills Theory
Emil Albrychiewicz, Andrés Franco Valiente, Viola Zixin Zhao
We continue our investigation into anisotropic topological field theories which arise from a tropical limit of conventional isotropic topological field theories. We analyze both th…
Tropical BF Theory and Tropical Limits of TQFTs
Emil Albrychiewicz, Andrés Franco Valiente
We study anisotropic scaling limits of topological field theories using tropical geometry. The resulting topological field theories are characterized by foliated geometries and are…
Tropical Limits of Dirac Operators
Emil Albrychiewicz, Andrés Franco Valiente, Vi Hong
We explore the tropical analog of spinors by representing tropical geometries as foliated Riemann surfaces endowed with degenerate complex structures. We investigate tropical limit…
A Tropical Look at Coisotropic Branes and Quantization
Emil Albrychiewicz, Andrés Franco Valiente, Vi Hong
We continue our investigation of tropical branes by exploring the tropicalization of topological sigma models with boundaries. We show that the tropical limit naturally decomposes…
Analytic Torsion from Chern-Simons theory via the -theory on Dicyclic Orbifolds of
Emil Albrychiewicz, Andrés Franco Valiente, Ori Ganor
The Witten index of the -theory compactified on spaces of the form , with a freely acting group , and with external string sources implemented via timeli…
Tropical Branes
Emil Albrychiewicz, Andrés Franco Valiente, Vi Hong
We investigate canonically quantized open string solutions associated to the analytically continued action for the recently proposed tropical limit of topological A-type models, tr…
Timelike Kasner singularities and Floquet States in 2+1d AdS/CFT
Emil Albrychiewicz, Ori J. Ganor
We consider a model of a holographic 2+1d CFT interacting with an oscillating background gauge field. It is solved by an AdS-Vaidya metric describing Ohmic heating of the boundary…
Ground States of Class S Theory on ADE Singularities and dual Chern-Simons theory
Emil Albrychiewicz, Andrés Franco Valiente, Ori J. Ganor +1
In radial quantization, the ground states of a gauge theory on ADE singularities are characterized by flat connections that are maps from to the gauge group. W…
Tropological Sigma Models
Emil Albrychiewicz, Kai-Isaak Ellers, Andrés Franco Valiente +1
With the use of mathematical techniques of tropical geometry, it was shown by Mikhalkin some twenty years ago that certain Gromov-Witten invariants associated with topological quan…
MHV amplitudes and BCFW recursion for Yang-Mills theory in the de Sitter static patch
Emil Albrychiewicz, Yasha Neiman, Mirian Tsulaia
We study the scattering problem in the static patch of de Sitter space, i.e. the problem of field evolution between the past and future horizons of a de Sitter observer. We formula…
Scattering in the static patch of de Sitter space
Emil Albrychiewicz, Yasha Neiman
We study the scattering problem in the static patch of de Sitter space, i.e. the problem of field evolution between the past and future horizons of a de Sitter observer. We calcula…