Twisted K theory and K theory of bundle gerbes - INSPIRE

DataBETA

Twisted K theory and K theory of bundle gerbes

Peter Bouwknegt
(
- Adelaide U.
)
,
Alan L. Carey
(
- Adelaide U.
)
,
Varghese Mathai
(
- MIT, LNS and
- Adelaide U.
)
,
Michael K. Murray
(
- Adelaide U.
)
,
Danny Stevenson
(
- Adelaide U.
)

Jun, 2001

23 pages

Published in:

Commun.Math.Phys. 228 (2002) 17-49

e-Print:

hep-th/0106194 [hep-th]

DOI:

10.1007/s002200200646

View in:

reference search157 citations

Citations per year

Abstract:

In this note we introduce the notion of bundle gerbe K-theory and investigate the relation to twisted K-theory. We provide some examples. Possible applications of bundle gerbe K-theory to the classification of D-brane charges in non-trivial backgrounds are discussed.

Note:

29 pages, corrected typos, added references, included new section on twisted Chern character in non-torsion case Subj-class: High Energy Physics - Theory; K-Theory and Homology

K-theory
membrane model: D-brane
fibre bundle
cohomology
Hilbert space

References(31)

Figures(0)

D-branes in the WZW model

Anton Yu. Alekseev
(
- Uppsala U.
)
,
Volker Schomerus
(
- Hamburg U.
)

- Phys.Rev.D 60 (1999) 061901
•
e-Print:
- hep-th/9812193
•
DOI:
- 10.1103/PhysRevD.60.061901

RR charges of D2-branes in the WZW model

e-Print:
- hep-th/0007096

e-Print:
- math/0012213

D-branes, B fields and twisted K theory

P. Bouwknegt
(
- Adelaide U.
)
,
V. Mathai
(
- Adelaide U.
)

- JHEP 03 (2000) 007
•
e-Print:
- hep-th/0002023
•
DOI:
- 10.1088/1126-6708/2000/03/007

E(8) gauge theory, and a derivation of K theory from M theory

- Adv.Theor.Math.Phys. 6 (2003) 1031-1134
•
e-Print:
- hep-th/0005090
•
DOI:
- 10.4310/ATMP.2002.v6.n6.a2

- Inst.Hautes Etudes Sci.Publ.Math. 38 5

D-brane charge, flux quantization and relative (co)homology

Jose M. Figueroa-O'Farrill
(
- Edinburgh U.
)
,
Sonia Stanciu
(
- Utrecht U.
)

- JHEP 01 (2001) 006
•
e-Print:
- hep-th/0008038
•
DOI:
- 10.1088/1126-6708/2001/01/006

Branes on group manifolds, gluon condensates, and twisted K theory

- JHEP 04 (2001) 007
•
e-Print:
- hep-th/0012164
•
DOI:
- 10.1088/1126-6708/2001/04/007

Anomalies in string theory with D-branes

- Asian J.Math. 3 (1999) 819
•
e-Print:
- hep-th/9907189

Topology of the gauge group in noncommutative gauge theory

Jeffrey A. Harvey
(
- Chicago U., EFI and
- Chicago U.
)

e-Print:
- hep-th/0105242

Noncommutative tachyons and K theory

Jeffrey A. Harvey
(
- Chicago U., EFI and
- Chicago U.
)
,
Gregory W. Moore
(
- Rutgers U., Piscataway
)

- J.Math.Phys. 42 (2001) 2765-2780
•
e-Print:
- hep-th/0009030
•
DOI:
- 10.1063/1.1377270

Type IIA D-branes, K theory, and matrix theory

Petr Horava
(
- Caltech
)

- Adv.Theor.Math.Phys. 2 (1999) 1373-1404
•
e-Print:
- hep-th/9812135
•
DOI:
- 10.4310/ATMP.1998.v2.n6.a5

NonAbelian gerbes from strings on a branched space-time

Jussi Kalkkinen
(
- SISSA, Trieste and
- INFN, Trieste
)

e-Print:
- hep-th/9910048

D-branes in a topologically nontrivial B field

Anton Kapustin
(
- Princeton, Inst. Advanced Study
)

- Adv.Theor.Math.Phys. 4 (2000) 127-154
•
e-Print:
- hep-th/9909089
•
DOI:
- 10.4310/ATMP.2000.v4.n1.a3

e-Print:
- math/0105039

A note on the holonomy of connections in twisted bundles

Marco Mackaay

e-Print:
- math/0106019

Geometrical interpretation of D-branes in gauged WZW models

- JHEP 07 (2001) 046
•
e-Print:
- hep-th/0105038
•
DOI:
- 10.1088/1126-6708/2001/07/046

D-branes and twisted K theory

Yuri Malyuta
(
- Kiev, INR
)

e-Print:
- hep-th/0103213

On flux quantization in $M$ -theory and the effective action

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- J.Geom.Phys. 22 (1997) 1-13
•
e-Print:
- hep-th/9609122
•
DOI:
- 10.1016/S0393-0440(96)00042-3

K theory and Ramond-Ramond charge

Ruben Minasian
(
- Yale U.
)
,
Gregory W. Moore
(
- Yale U.
)

- JHEP 11 (1997) 002
•
e-Print:
- hep-th/9710230
•
DOI:
- 10.1088/1126-6708/1997/11/002

Selfduality, Ramond-Ramond fields, and K theory

Gregory W. Moore
(
- Yale U.
)
,
Edward Witten
(
- Caltech and
- Southern California U.
)

- JHEP 05 (2000) 032
•
e-Print:
- hep-th/9912279
•
DOI:
- 10.1088/1126-6708/2000/05/032

Bundle gerbes

Michael K. Murray
(
- Adelaide U.
)

- J.Lond.Math.Soc. 54 (1996) 403-416
•
e-Print:
- dg-ga/9407015
•
DOI:
- 10.1112/jlms/54.2.403

Bundle gerbes: Stable isomorphism and local theory

Michael K. Murray
(
- Adelaide U.
)
,
Daniel Stevenson
(
- Adelaide U.
)

- J.Lond.Math.Soc. 62 (2000) 925-937
•
e-Print:
- math/9908135
•
DOI:
- 10.1112/S0024610700001551

- J.Austral.Math.Soc.A 38 394

- Proc.Symp.Pure Math. 38 35

1-25 of 31
1
2
25 / page