Quantization of Higher Abelian Gauge Theory in Generalized Differential Cohomology - INSPIRE

DataBETA

Quantization of Higher Abelian Gauge Theory in Generalized Differential Cohomology

Richard J. Szabo
(
- Heriot-Watt U. and
- Edinburgh U., Sch. Math.
)

Sep, 2012

58 pages

Part of Proceedings, 7th International Conference on Mathematical Methods in Physics (ICMP2012) : Rio de Janeiro, Brazil, April 16-20, 2012

Published in:

PoS ICMP2012 (2012) 009

Contribution to:

7th International Conference on Mathematical Methods in Physics

e-Print:

1209.2530 [hep-th]

DOI:

10.22323/1.175.0009

Report number:

HWM-12-13,
EMPG-12-20,
ESI-2381

View in:

ADS Abstract Service

reference search19 citations

Citations per year

Abstract: (arXiv)

We review and elaborate on some aspects of the quantization of certain classes of higher abelian gauge theories using techniques of generalized differential cohomology. Particular emphasis is placed on the examples of generalized Maxwell theory and Cheeger-Simons cohomology, and of Ramond-Ramond fields in Type II superstring theory and differential K-theory.

Note:

58 pages/ v2: typos corrected, reference added/ Contribution to the Proceedings of the 7th International Conference on Mathematical Methods in Physics, Rio de Janeiro, Brazil, April 16-20, 2012/ to be published in Proceedings of Science

gauge field theory: abelian
cohomology
quantization
superstring
K-theory
Maxwell equation
differential
string model: Type II
Ramond

References(59)

Figures(0)

[1]

Higher-Dimensional Algebra V: 2-Groups

e-Print:
- math/0307200

[2]

Higher gauge theory

e-Print:
- math/0511710

[3]

K-homology and index theory

P. Baum
,
R.G. Douglas

- Proc.Symp.Pure Math. 38 (1982) 117

[4]

Holographic Action for the Self-Dual Field

e-Print:
- hep-th/0605038

[5]

Type II Actions from 11-Dimensional Chern-Simons Theories

e-Print:
- hep-th/0611020

[6]

Differential characters in K-theory

M.-T. Benameur
,
M. Maghfoul

- Differ.Geom.Appl. 24 (2006) 417

[7]

Heat Kernels and Dirac Operators -Verlag, Berlin, 2004)

N. Berline
,
E. Getzler
,
M. Vergne

[8]

Loop Spaces, Characteristic Classes and Geometric Quantization (Birkhäuser, Boston, 2007)

J.-L. Brylinski

[9]

The geometry of degree 4 characteristic classes I

J.-L. Brylinski
,
D.A. McLaughlin

- Duke Math.J. 75 (1994) 105

[10]

Index theory, eta forms, and Deligne cohomology

U. Bunke

- Mem.Am.Math.Soc. 198 (2009) 1
•
e-Print:
- math/0201112

[11]

Adams operations in smooth K-theory

U. Bunke

- Geom.Topol. 14 (2010) 2349
•
e-Print:
- 0904.4355

[12]

Differential cohomology

Ulrich Bunke

e-Print:
- 1208.3961

[13]

Smooth K-theory

U. Bunke
,
T. Schick

e-Print:
- 0707.0046

[14]

Uniqueness of smooth extensions of generalized cohomology theories

U. Bunke
,
T. Schick

e-Print:
- 0901.4423

[15]

Differential orbifold K-theory

U. Bunke
,
T. Schick

e-Print:
- 0905.4181

[16]

Differential K-theory. A survey

Ulrich Bunke
(
- Regensburg U.
)
,
Thomas Schick
(
- Gottingen U.
)

- Global differential geometry, Springer, Heidelberg (2012) 303-358
•
e-Print:
- 1011.6663

[17]

Holonomy on D-branes

Alan L. Carey
(
- Australian Natl. U., Canberra
)
,
Stuart Johnson
(
- Adelaide U.
)
,
Michael K. Murray
(
- Adelaide U.
)

e-Print:
- hep-th/0204199

[18]

Differential twisted K-theory and applications

A.L. Carey
,
J. Mickelsson
,
B.-L. Wang

- J.Geom.Phys. 59 (2009) 632
•
e-Print:
- 0708.3114

[19]

Differential characters and geometric invariants

J. Cheeger
,
J. Simons

- Lect.Notes Math. 1167 (1985) 50

[20]

Triples, fluxes, and strings

Jan de Boer
(
- Amsterdam U.
)
,
Robbert Dijkgraaf
(
- Amsterdam U.
)
,
Kentaro Hori
(
- Harvard U.
)
,
Arjan Keurentjes
(
- Paris U., VI-VII
)
,
John Morgan
(
- Columbia U.
)

et al.

- Adv.Theor.Math.Phys. 4 (2002) 995-1186
•
e-Print:
- hep-th/0103170
•
DOI:
- 10.4310/ATMP.2000.v4.n5.a1

[21]

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

[22]

The M theory three form and E(8) gauge theory

e-Print:
- hep-th/0312069

[23]

Orientifold Precis

Jacques Distler
(
- Texas U.
)
,
Daniel S. Freed
(
- Texas U., Math Dept.
)
,
Gregory W. Moore
(
- Rutgers U., Piscataway
)

•
e-Print:
- 0906.0795

[24]

Spin structures and superstrings

Jacqeus Distler
(
- Texas U.
)
,
Daniel S. Freed
(
- Texas U., Math Dept.
)
,
Gregory W. Moore
(
- Rutgers U., Piscataway
)

e-Print:
- 1007.4581

[25]

Topological (Chern-Simons) Quantum Mechanics

- Phys.Rev.D 41 (1990) 661
•
DOI:
- 10.1103/PhysRevD.41.661

1-25 of 59
1
2
3
25 / page