Global Magni4icence, or: 4G Networks
Journal Article
·
· Symmetry, Integrability and Geometry: Methods and Applications
The global magnificent four theory is the homological version of a maximally supersymmetric $(8+1)$-dimensional gauge theory on a Calabi-Yau fourfold fibered over a circle. In the case of a toric fourfold we conjecture the formula for its twisted Witten index. String-theoretically we count the BPS states of a system of $D0$$-$$D2$$-$$D4$$-$$D6$$-$$D8$-branes on the Calabi-Yau fourfold in the presence of a large Neveu-Schwarz $$B$$-field. Mathematically, we develop the equivariant $$K$$-theoretic DT4 theory, by constructing the four-valent vertex with generic plane partition asymptotics. Physically, the vertex is a supersymmetric localization of a non-commutative gauge theory in $8+1$ dimensions.
- Research Organization:
- Rutgers Univ., Piscataway, NJ (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- Grant/Contract Number:
- SC0010008
- OSTI ID:
- 2580352
- Journal Information:
- Symmetry, Integrability and Geometry: Methods and Applications, Journal Name: Symmetry, Integrability and Geometry: Methods and Applications Vol. 20; ISSN 1815-0659
- Publisher:
- Institute of Mathematics, National Academy of Sciences UkraineCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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