99 citations · 237 across the 16 of their papers we have counts for
16 papers
Adjusting Higher Chern-Simons Theory
Gianni Gagliardo, Dominik Rist, Christian Saemann +1
A fundamental problem in formulating higher Chern-Simons theories is the construction of a consistent higher gauge theory that circumvents the fake-flatness constraint. Here, we pr…
Principal 3-Bundles with Adjusted Connections
Gianni Gagliardo, Christian Saemann, Roberto Tellez-Dominguez
We explore the notion of an adjusted connection for principal 3-bundles. We first derive the explicit form of an adjustment datum for 3-term -algebras, which allows us to…
Ambitwistor Yang-Mills Theory Revisited
Leron Borsten, Branislav Jurco, Hyungrok Kim +2
Inspired by the Movshev-Mason-Skinner Cauchy-Riemann (CR) ambitwistor approach, we provide a rigorous yet elementary construction of a twisted CR holomorphic Chern-Simons action on…
Topological Classification of Symmetry Breaking and Vacuum Degeneracy
Simon-Raphael Fischer, Mehran Jalali Farahani, Hyungrok Kim +1
We argue that a general system of scalar fields and gauge fields manifesting vacuum degeneracy induces a principal groupoid bundle over spacetime and that the pattern of spontaneou…
Adjusted Connections I: Differential Cocycles for Principal Groupoid Bundles with Connection
Simon-Raphael Fischer, Mehran Jalali Farahani, Hyungrok Kim +1
We develop a new perspective on principal bundles with connection as morphisms from the tangent bundle of the underlying manifold to a classifying dg-Lie groupoid. This groupoid ca…
Double-Copying Self-Dual Yang-Mills Theory to Self-Dual Gravity on Twistor Space
Leron Borsten, Branislav Jurco, Hyungrok Kim +3
We construct a simple Lorentz-invariant action for maximally supersymmetric self-dual Yang-Mills theory that manifests colour-kinematics duality. We also show that this action doub…
Double Copy from Tensor Products of Metric BV-algebras
Leron Borsten, Branislav Jurco, Hyungrok Kim +3
Field theories with kinematic Lie algebras, such as field theories featuring colour-kinematics duality, possess an underlying algebraic structure known as BV${}^{\color{gray} \blac…
Field Theory Equivalences as Spans of -algebras
Mehran Jalali Farahani, Christian Saemann, Martin Wolf
Semi-classically equivalent field theories are related by a quasi-isomorphism between their underlying -algebras, but such a quasi-isomorphism is not necessarily a homoto…
T-duality as Correspondences of Categorified Principal Bundles with Adjusted Connections
Hyungrok Kim, Christian Saemann
We provide a pedagogical introduction to the theory of principal 2-bundles with adjusted connections and show how they enter the description of geometric and non-geometric T-dualit…
Tree-Level Color-Kinematics Duality from Pure Spinor Actions
Leron Borsten, Branislav Jurco, Hyungrok Kim +3
We prove that the tree-level scattering amplitudes for (super) Yang-Mills theory in arbitrary dimensions and for M2-brane models exhibit color-kinematics (CK) duality. Our proof fo…
Colour-kinematics duality, double copy, and homotopy algebras
Leron Borsten, Hyungrok Kim, Branislav Jurčo +3
Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its validity implies a relation between gauge theory and gravity scattering amplitudes, known as double cop…
Kinematic Lie Algebras From Twistor Spaces
Leron Borsten, Branislav Jurco, Hyungrok Kim +3
We analyze theories with color-kinematics duality from an algebraic perspective and find that any such theory has an underlying BV-algebra structure…
Non-Geometric T-Duality as Higher Groupoid Bundles with Connections
Hyungrok Kim, Christian Saemann
We propose a description of T-duality between general geometric and non-geometric backgrounds as higher groupoid bundles with connections. Our description extends the previous obse…
Explicit Non-Abelian Gerbes with Connections
Dominik Rist, Christian Saemann, Martin Wolf
We define the notion of adjustment for strict Lie 2-groups and provide the complete cocycle description for non-Abelian gerbes with connections whose structure 2-group is an adjust…
-Algebras of Classical Field Theories and the Batalin-Vilkovisky Formalism
Branislav Jurco, Lorenzo Raspollini, Christian Saemann +1
We review in detail the Batalin-Vilkovisky formalism for Lagrangian field theories and its mathematical foundations with an emphasis on higher algebraic structures and classical fi…
The Non-Abelian Self-Dual String and the (2,0)-Theory
Christian Saemann, Lennart Schmidt
We argue that the relevant higher gauge group for the non-abelian generalization of the self-dual string equation is the string 2-group. We then derive the corresponding equations…