B Eynard,S Oukassi
B Eynard
This is a review of the relationship between Fay identities and Hirota equations in integrable systems, reformulated in a geometric language compatible with recent Topological Recursion formalism. We write Hirota equations as trans-series a...
Compatibility of Drinfeld presentations for split affine Kac-Moody quantum symmetric pairs [0.03%]
分裂型仿射Kac-Moody量子对称对的Drinfeld表示式的兼容性问题
Jian-Rong Li,Tomasz Przeździecki
Jian-Rong Li
Let ( U , U ı ) be a split affine quantum symmetric pair of type B n ( 1 ) , C n ( 1 ) or D n ( 1 ) . We prove factorization and coproduct formulae for the Drinfeld-Cartan operators Θ i ( z ) in the Lu-Wang Drinfeld-typ...
Severin Bunk,James MacManus,Alexander Schenkel
Severin Bunk
It is shown that every algebraic quantum field theory has an underlying functorial field theory which is defined on a suitable globally hyperbolic Lorentzian bordism pseudo-category. This means that globally hyperbolic Lorentzian bordisms b...
Tim Adamo,Giuseppe Bogna,Lionel Mason et al.
Tim Adamo et al.
The computation of scattering amplitudes in the presence of non-trivial background gauge fields is an important but extremely difficult problem in quantum field theory. In even the simplest backgrounds, obtaining explicit formulae for proce...
László Erdős,Joscha Henheik,Oleksii Kolupaiev
László Erdős
We consider two Hamiltonians that are close to each other, H 1 ≈ H 2 , and analyze the time decay of the corresponding Loschmidt echo M ( t ) : = | ⟨ ψ 0 , e i t H 2 e - i t H 1 ψ 0 ⟩ | 2 that express...
Maksim Kosmakov,Vitaly Tarasov
Maksim Kosmakov
We give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian Y ( gl n ) . ...
Marc Mars,Carl Rossdeutscher,Walter Simon et al.
Marc Mars et al.
We prove two results which are relevant for constructing marginally outer trapped tubes (MOTTs) in de Sitter spacetime. The first one (Theorem 1) holds more generally, namely for spacetimes satisfying the null convergence condition and cont...
Philippe Di Francesco,Rinat Kedem,Sergey Khoroshkin et al.
Philippe Di Francesco et al.
We give a description of the Hallnäs-Ruijsenaars eigenfunctions of the 2-particle hyperbolic Ruijsenaars system as matrix coefficients for the order 4 element S ∈ S L ( 2 , Z ) acting on the Hilbert space of GL(2) quantum Teichmüll...
Chaim Even-Zohar,Tsviqa Lakrec,Matteo Parisi et al.
Chaim Even-Zohar et al.
The amplituhedron is a mathematical object which was introduced to provide a geometric origin of scattering amplitudes in N = 4 super Yang-Mills theory. It generalizes cyclic polytopes and the positive Grassmannian and has a very rich comb...
Eric Ling,Argam Ohanyan
Eric Ling
CMC (constant mean curvature) Cauchy surfaces play an important role in mathematical relativity as finding solutions to the vacuum Einstein constraint equations is made much simpler by assuming CMC initial data. However, Bartnik (Commun Mat...