2016/06/02 by Harold Steinacker, Harold C. Steinacker
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Effective action #Geometry #Mathematical physics #Mathematics #Non-critical string theory #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Physics #Quantum #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #Scalar (mathematics) #String field theory #String theory #Supergravity #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2016.06.029
31 pages, 2 figures
arxiv created 2016/06/02 · openalex publication_date 2016/07/08 · arxiv updated 2016/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Refining previous work by Iso, Kawai and Kitazawa, we discuss bi-local string states as a tool for loop computations in noncommutative field theory and matrix models. Defined in terms of coherent states, they exhibit the stringy features of noncommutative field theory. This leads to a closed form for the 1-loop effective action in position space, capturing the long-range non-local UV/IR mixing for scalar fields. The formalism applies to generic fuzzy spaces. The non-locality is tamed in the maximally supersymmetric IKKT or IIB model, where it gives rise to supergravity. The linearized supergravity interactions are obtained directly in position space at one loop using string states on generic noncommutative branes.