Schreiber Twistorial Cohomotopy implies Green-Schwarz anomaly cancellation

An article that we have written:

---

• Domenico Fiorenza, Hisham Sati, Urs Schreiber:

  
  

  Twistorial Cohomotopy Implies Green-Schwarz anomaly cancellation

  
  

  Reviews in Mathematical Physics

  Vol. 34, No. 05 (2022) 2250013

  
  

  download:

  • pdf

  • arXiv:2008.08544

  • doi:10.1142/S0129055X22500131

---

Abstract: We characterize the integral cohomology and the rational homotopy type of the maximal Borel-equivariantization of the combined Hopf/twistor fibration, and find that subtle relations satisfied by the cohomology generators are just those that govern Hořava-Witten's proposal for the extension of the Green-Schwarz mechanism from heterotic string theory to heterotic M-theory (with heterotic line bundles). We discuss how this squares with the Hypothesis H that the elusive mathematical foundation of M-theory is based on charge quantization in J-twisted Cohomotopy theory.

---

Companion articles:

• Domenico Fiorenza, Hisham Sati, Urs Schreiber:

  The Character Map in Twisted Non-Abelian Cohomology

• Hisham Sati, Urs Schreiber:

  The Character Map in Equivariant Twistorial Cohomotopy

Related talks:

• Microscopic Brane Physics from Cohomotopy

  talk at M-Theory and Mathematics

  NYU Abu Dhabi, 2020

• Twisted Cohomotopy implies M-theory anomaly cancellation

  presentation at Strings2019

  Brussels, 2019

• Super p-Brane Theory emerging from Super Homotopy Theory

  talk at StringMath2017,

  Hamburg, 2017

Related articles:

• Domenico Fiorenza, Hisham Sati, Urs Schreiber:

  Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds

  arXiv:1904.10207

• Domenico Fiorenza, Hisham Sati, Urs Schreiber:

  Twisted Cohomotopy implies M5 WZ term level quantization

  arXiv:1906.07417

• Hisham Sati, Urs Schreiber:

  Equivariant Cohomotopy implies orientifold tadpole cancellation

  arXiv:1909.12277

• Hisham Sati, Urs Schreiber:

  Lift of fractional D-brane charge to equivariant Cohomotopy theory

  arXiv:1812.09679

• Hisham Sati, Urs Schreiber:

  Differential Cohomotopy implies intersecting brane observables

  arXiv:1912.10425

• Hisham Sati, Urs Schreiber:

  Twisted Cohomotopy implies M5-brane anomaly cancellation

  arXiv:2002.07737

• Domenico Fiorenza, Hisham Sati, Urs Schreiber:

  Twisted Cohomotopy implies twisted String structure on M5-branes

  arXiv:2002.11093

• Hisham Sati, Urs Schreiber:

  Proper Orbifold Cohomology

  arXiv:2008.01101

---