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Old Dualities and New Anomalies

Roberto Bonezzi
(
- Humboldt U., Berlin
)
,
Felipe Diaz-Jaramillo
(
- Humboldt U., Berlin
)
,
Olaf Hohm
(
- Humboldt U., Berlin
)

Aug 14, 2020

26 pages

Published in:

Phys.Rev.D 102 (2020) 12, 126002

Published: Dec 2, 2020

e-Print:

2008.06420 [hep-th]

DOI:

10.1103/PhysRevD.102.126002

View in:

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Abstract: (arXiv)

We revisit the question whether the worldsheet theory of a string admits a global O(d,d) symmetry. We consider the truncation of the target space theory in which fields are independent of d coordinates, which is O(d,d,R) invariant. The worldsheet theory is not O(d,d,R) invariant, unless it is truncated by setting winding and center-of-mass momenta to zero. We prove consistency of this truncation and give a manifestly O(d,d,R) invariant action, generalizing a formulation due to Tseytlin by including all external and internal target space fields. It is shown that, due to chiral bosons, this symmetry is anomalous. The anomaly is cancelled by a Green-Schwarz mechanism that utilizes the external B-field.

Note:

42 pages, references added

String theory, quantum gravity, gauge/gravity duality
anomaly: Green-Schwarz
target: internal
boson: chiral
duality
string model
torus
Hamiltonian formalism
Kaluza-Klein
O(N,N)

References(50)

Figures(0)

[1]

Duality Symmetric Formulation of String World Sheet Dynamics

Arkady A. Tseytlin
(
- King's Coll. London
)

- Phys.Lett.B 242 (1990) 163-174
•
DOI:
- 10.1016/0370-2693(90)91454-J

[2]

Duality symmetric closed string theory and interacting chiral scalars

Arkady A. Tseytlin
(
- King's Coll. London
)

- Nucl.Phys.B 350 (1991) 395-440
•
DOI:
- 10.1016/0550-3213(91)90266-Z

[3]

Scale factor duality for classical and quantum strings

G. Veneziano
(
- CERN
)

- Phys.Lett.B 265 (1991) 287-294
•
DOI:
- 10.1016/0370-2693(91)90055-U

[4]

O(d,d) covariant string cosmology

M. Gasperini
(
- Turin U. and
- INFN, Turin
)
,
G. Veneziano
(
- CERN
)

- Phys.Lett.B 277 (1992) 256-264
•
e-Print:
- hep-th/9112044
•
DOI:
- 10.1016/0370-2693(92)90744-O

[5]

Target space duality as a symmetry of string field theory

- Prog.Theor.Phys. 87 (1992) 801-860
•
e-Print:
- hep-th/9201040
•
DOI:
- 10.1143/ptp/87.4.801

[6]

Noncompact symmetries in string theory

Jnanadeva Maharana
(
- Caltech
)
,
John H. Schwarz
(
- Caltech
)

- Nucl.Phys.B 390 (1993) 3-32
•
e-Print:
- hep-th/9207016
•
DOI:
- 10.1016/0550-3213(93)90387-5

[7]

Superspace duality in low-energy superstrings

W. Siegel
(
- SUNY, Stony Brook
)

- Phys.Rev.D 48 (1993) 2826-2837
•
e-Print:
- hep-th/9305073
•
DOI:
- 10.1103/PhysRevD.48.2826

[8]

Doubled Geometry and T-Folds

C M Hull
(
- Imperial Coll., London
)

- JHEP 07 (2007) 080
•
e-Print:
- hep-th/0605149
•
DOI:
- 10.1088/1126-6708/2007/07/080

[9]

Global aspects of T-duality, gauged sigma models and T-folds

C.M. Hull
(
- Imperial Coll., London
)

- JHEP 10 (2007) 057
•
e-Print:
- hep-th/0604178
•
DOI:
- 10.1088/1126-6708/2007/10/057

[10]

The String partition function in Hull's doubled formalism

- Phys.Lett.B 649 (2007) 325-333
•
e-Print:
- hep-th/0701080
•
DOI:
- 10.1016/j.physletb.2007.03.007

[11]

Background Field Equations for the Duality Symmetric String

- Nucl.Phys.B 791 (2008) 175-191
•
e-Print:
- 0708.2267
•
DOI:
- 10.1016/j.nuclphysb.2007.09.021

[12]

Duality Symmetric Strings, Dilatons and O(d,d) Effective Actions

- Phys.Lett.B 662 (2008) 279-284
•
e-Print:
- 0712.1121
•
DOI:
- 10.1016/j.physletb.2008.03.012

[13]

Duality Symmetry of String Theory: A Worldsheet Perspective

Jnanadeva Maharana
(
- Bhubaneswar, Inst. Phys.
)

- Phys.Lett.B 695 (2011) 370-375
•
e-Print:
- 1010.1727
•
DOI:
- 10.1016/j.physletb.2010.11.034

[14]

An $O(D, D)$ invariant Hamiltonian action for the superstring

- Class.Quant.Grav. 31 (2014) 20, 205011
•
e-Print:
- 1308.4829
•
DOI:
- 10.1088/0264-9381/31/20/205011

[15]

Comparing Double String Theory Actions

Luca De Angelis
(
- Naples U.
)
,
Gabriele Gionti, S.J.
(
- Vatican Astron. Observ. and
- Arizona U., Astron. Dept. - Steward Observ.
)
,
Raffaele Marotta
(
- INFN, Naples
)
,
Franco Pezzella
(
- INFN, Naples
)

- JHEP 04 (2014) 171
•
e-Print:
- 1312.7367
•
DOI:
- 10.1007/JHEP04(2014)171

[16]

Type II chiral affine Lie algebras and string actions in doubled space

Machiko Hatsuda
(
- Juntendo U. and
- KEK, Tsukuba
)
,
Kiyoshi Kamimura
(
- Juntendo U.
)
,
Warren Siegel
(
- YITP, Stony Brook
)

- JHEP 09 (2015) 113
•
e-Print:
- 1507.03061
•
DOI:
- 10.1007/JHEP09(2015)113

[17]

Towards a world‐sheet description of doubled geometry in string theory

Ioannis Bakas
(
- Natl. Tech. U., Athens
)
,
Dieter Lust
(
- Munich U., ASC and
- Munich, Max Planck Inst.
)
,
Erik Plauschinn
(
- Munich U., ASC
)

- Fortsch.Phys. 64 (2016) 10, 730-747
•
e-Print:
- 1602.07705
•
DOI:
- 10.1002/prop.201600085

[18]

Aspects of the Doubled Worldsheet

Sibylle Driezen
(
- Vrije U., Brussels and
- Intl. Solvay Inst., Brussels
)
,
Alexander Sevrin
(
- Vrije U., Brussels and
- Intl. Solvay Inst., Brussels and
- Antwerp U.
)
,
Daniel C. Thompson
(
- Vrije U., Brussels and
- Intl. Solvay Inst., Brussels
)

- JHEP 12 (2016) 082
•
e-Print:
- 1609.03315
•
DOI:
- 10.1007/JHEP12(2016)082

[19]

Green-Schwarz Mechanism for String Dualities

Camille Eloy
(
- ENS, Lyon, Lab. Phys.
)
,
Olaf Hohm
(
- Humboldt U., Berlin
)
,
Henning Samtleben
(
- ENS, Lyon, Lab. Phys.
)

- Phys.Rev.Lett. 124 (2020) 9, 091601
•
e-Print:
- 1912.01700
•
DOI:
- 10.1103/PhysRevLett.124.091601

[20]

Duality Invariance and Higher Derivatives

Camille Eloy
(
- ENS, Lyon, Lab. Phys.
)
,
Olaf Hohm
(
- Humboldt U., Berlin
)
,
Henning Samtleben
(
- ENS, Lyon, Lab. Phys.
)

- Phys.Rev.D 101 (2020) 12, 126018
•
e-Print:
- 2004.13140
•
DOI:
- 10.1103/PhysRevD.101.126018

[21]

Doubled $\alpha'$ -geometry

Olaf Hohm
(
- Munich U., ASC
)
,
Warren Siegel
(
- YITP, Stony Brook
)
,
Barton Zwiebach
(
- MIT, Cambridge, CTP
)

- JHEP 02 (2014) 065
•
e-Print:
- 1306.2970
•
DOI:
- 10.1007/JHEP02(2014)065

[22]

Green-Schwarz mechanism and $\alpha'$ -deformed Courant brackets

Olaf Hohm
(
- MIT, Cambridge, CTP
)
,
Barton Zwiebach
(
- MIT, Cambridge, CTP
)

- JHEP 01 (2015) 012
•
e-Print:
- 1407.0708
•
DOI:
- 10.1007/JHEP01(2015)012

[23]

Double field theory at order $\alpha'$

Olaf Hohm
(
- MIT, Cambridge, CTP
)
,
Barton Zwiebach
(
- MIT, Cambridge, CTP
)

- JHEP 11 (2014) 075
•
e-Print:
- 1407.3803
•
DOI:
- 10.1007/JHEP11(2014)075

[24]

T-duality and α′-corrections

Diego Marques
(
- Buenos Aires, IAFE and
- Buenos Aires, CONICET
)
,
Carmen A. Nunez
(
- Buenos Aires, IAFE and
- Buenos Aires, CONICET and
- Buenos Aires U.
)

- JHEP 10 (2015) 084
•
e-Print:
- 1507.00652
•
DOI:
- 10.1007/JHEP10(2015)084

[25]

Background Independence and Duality Invariance in String Theory

Olaf Hohm
(
- Stony Brook U., New York, SCGP
)

- Phys.Rev.Lett. 118 (2017) 13, 131601
•
e-Print:
- 1612.03966
•
DOI:
- 10.1103/PhysRevLett.118.131601

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