Mathematical Aspects of Quantum Field Theories

Editors:

ISBN: 978-3-319-09948-4 (Print) 978-3-319-09949-1 (Online)

Table of contents (13 chapters)

  1. Front Matter

    Pages i-xxviii

  2. No Access

    Chapter

    Pages 1-14

    A Derived and Homotopical View on Field Theories

  3. Locality in Perturbative QFTs

    1. Front Matter

      Pages 15-15

    2. No Access

      Chapter

      Pages 17-55

      Perturbative Algebraic Quantum Field Theory

    3. No Access

      Chapter

      Pages 57-87

      Lectures on Mathematical Aspects of (twisted) Supersymmetric Gauge Theories

    4. No Access

      Chapter

      Pages 89-129

      Snapshots of Conformal Field Theory

  4. Chern–Simons Theory

    1. Front Matter

      Pages 131-131

    2. No Access

      Chapter

      Pages 133-152

      Faddeev’s Quantum Dilogarithm and State-Integrals on Shaped Triangulations

    3. No Access

      Chapter

      Pages 153-211

      A Higher Stacky Perspective on Chern–Simons Theory

    4. No Access

      Chapter

      Pages 213-231

      Factorization Homology in \(3\) -Dimensional Topology

    5. No Access

      Chapter

      Pages 233-271

      Deligne-Beilinson Cohomology in U(1) Chern-Simons Theories

  5. (Semi-)Classical Field Theories

    1. Front Matter

      Pages 273-273

    2. No Access

      Chapter

      Pages 275-324

      Semiclassical Quantization of Classical Field Theories

    3. No Access

      Chapter

      Pages 325-341

      Local BRST Cohomology for AKSZ Field Theories: A Global Approach

    4. No Access

      Chapter

      Pages 343-411

      Symplectic and Poisson Geometry of the Moduli Spaces of Flat Connections Over Quilted Surfaces

    5. No Access

      Chapter

      Pages 413-426

      Groupoids, Frobenius Algebras and Poisson Sigma Models

  6. Algebraic Aspects of Locality

    1. Front Matter

      Pages 427-427

    2. No Access

      Chapter

      Pages 429-552

      Notes on Factorization Algebras, Factorization Homology and Applications

  7. Back Matter

    Pages 553-556