Symmetries of massless vertex operators in $AdS_5\times S^5$

Symmetries of massless vertex operators in

The worldsheet sigma-model of the superstring in AdS5×S 5 has a one-parameter family of flat connections parametrized by the spectral parameter. The corresponding Wilson line is not BRST invariant for an open contour, because the BRST transformation leads to boundary terms. These boundary terms define a cohomological complex associated to the endpoint of the contour. We study the cohomology of ...

Causal construction of the massless vertex diagram

In the traditional approach to quantum field theory, one starts from classical fields and a Lagrangean which describes the interaction. These objects get quantized and S-matrix elements or Greens functions are constructed with the help of the Feynman rules. A typical example which is used in this paper as a model theory is the massless Φ3-theory, where the interaction Hamiltonian density is giv...

Asymptotic Symmetries of Massless QED in Even Dimensions

We consider the scattering of massless particles coupled to an abelian gauge field in 2n-dimensional Minkowski spacetime. Weinberg’s soft photon theorem is recast as Ward identities for infinitely many new nontrivial symmetries of the massless QED Smatrix, with one such identity arising for each propagation direction of the soft photon. These symmetries are identified as large gauge transformat...

Vertex operators in algebraic topology

Characterizing perfect recall using next-step temporal operators in S5 and sub-S5 Epistemic Temporal Logic

We review the notion of perfect recall in the literature on interpreted systems, game theory, and epistemic logic. In the context of Epistemic Temporal Logic (ETL), we give a (to our knowledge) novel frame condition for perfect recall, which is local and can straightforwardly be translated to a defining formula in a language that only has next-step temporal operators. This frame condition also ...