Topological Quantum Field Theory

Witten, Edward

doi:10.1007/BF01223371

Topological Quantum Field Theory

Edward Witten
(
- Princeton, Inst. Advanced Study
)

Feb, 1988

61 pages

Published in:

Commun.Math.Phys. 117 (1988) 353

DOI:

10.1007/BF01223371

Report number:

IASSNS-HEP-87-72

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Abstract: (Springer)

A twisted version of four dimensional supersymmetric gauge theory is formulated. The model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent developments in topology of low dimensional manifolds; the Donaldson polynomial invariants of four manifolds and the Floer groups of three manifolds appear naturally. The model may also be interesting from a physical viewpoint; it is in a sense a generally covariant quantum field theory, albeit one in which general covariance is unbroken, there are no gravitons, and the only excitations are topological.

GAUGE FIELD THEORY: YANG-MILLS
SUPERSYMMETRY
FIELD THEORY: SPACE-TIME
FIELD THEORY: TOPOLOGICAL
CHARGE: BECCHI-ROUET-STORA
FIELD THEORY: GROUND STATE
GROUP THEORY
FIELD THEORY: PATH INTEGRAL
FIELD THEORY: INSTANTON

References(18)

Figures(0)

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