THE INDEX OF THE DIRAC OPERATOR IN LOOP SPACE - INSPIRE

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THE INDEX OF THE DIRAC OPERATOR IN LOOP SPACE

Edward Witten
(
- Princeton U.
)

Mar, 1987

30 pages

Published in:

Lect.Notes Math. 1326 (1988) 161-181

DOI:

10.1007/BFb0078045

Report number:

PUPT-1050

View in:

KEK scanned document

reference search47 citations

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TALK
OPERATOR: DIRAC
FIELD THEORY: INDEX THEOREM
FIELD THEORY: PATH INTEGRAL
FIELD THEORETICAL MODEL: SIGMA
ANOMALY
MATHEMATICAL METHODS: DIFFERENTIAL GEOMETRY

References(22)

Figures(0)

[1]

Supersymmetry and Morse theory

Edward Witten
(
- Princeton U.
)

- J.Diff.Geom. 17 (1982) 4, 661-692

[1]

and in Anomalies, Geometry, and Topology especially pp. 91-95

W. Bardeen
,
A. White

[2]

Anomalies and Modular Invariance in String Theory

A.N. Schellekens
(
- CERN
)
,
N.P. Warner
(
- MIT
)

- Phys.Lett.B 177 (1986) 317-323
•
DOI:
- 10.1016/0370-2693(86)90760-4

[2]

(preprint,)

K. Pilch
,
A. Schellekens
,
N. Warner

[3]

Elliptic Genera and Quantum Field Theory

E. Witten

[4]

Loop Groups and Their Representations (Oxford University Press,)

A. Pressley
,
G.B. Segal

[5]

The Index of elliptic operators. 1

M.F. Atiyah
(
- Oxford U. and
- UC, Berkeley
)
,
I.M. Singer
(
- Oxford U. and
- UC, Berkeley
)

- Annals Math. 87 (1968) 484-530
•
DOI:
- 10.2307/1970715

[5]

The Index of elliptic operators. 2.

M.F. Atiyah
(
- Oxford U.
)
,
G.B. Segal
(
- Oxford U.
)

- Annals Math. 87 (1968) 531-545
•
DOI:
- 10.2307/1970716

[6]

Physics and Geometry

E. Witten

[7]

Anomalies in Nonlinear $\sigma$ Models

Gregory W. Moore
(
- Harvard U.
)
,
Philip C. Nelson
(
- Harvard U.
)

- Phys.Rev.Lett. 53 (1984) 1519,
•
DOI:
- 10.1103/PhysRevLett.53.1519

[8]

World Sheet Anomalies and Loop Geometry

T. Killingback

[9]

Spinor Representations of Affine Lie Algebras

- Proc.Nat.Acad.Sci. 77 (1980) 6303

[9]

Two Constructions of Affine Lie Algebra Representations

- J.Funct.Anal. 44 (1981) 259

[10]

in Essays in Topology and Related Subjects -Verlag,), p. 18

M.F. Atiyah
,
F. Hirzebruch

[11]

Fermion Quantum Numbers in Kaluza-Klein Theory

E. Witten

[12]

Circle Actions on Spin Manifolds and Characteristic Numbers

P. Landweber
,
R.E. Stong

[12]

Elliptic Cohomology and Modular Forms

P. Landweber

[13]

Sur les genres multiplicatifs definis par des integrales elliptiques

S. Ochanine

[13]

Genres Elliptiques Equivariantes

[14]

Elliptic Modular Forms and Elliptic Genera

[15]

Note on the Landweber-Stong Elliptic Genus

D. Zagier

[16]

Spin Structures and Sl Actions

A. Hattori

- Invent.Math. 48 (1978) 7