Towards the massless spectrum of non-Kahler heterotic compactifications - INSPIRE

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Towards the massless spectrum of non-Kahler heterotic compactifications

May, 2006

25 pages

Published in:

Adv.Theor.Math.Phys. 10 (2006) 6, 853-877

Published: Dec, 2006

e-Print:

hep-th/0605131 [hep-th]

DOI:

10.4310/ATMP.2006.v10.n6.a2

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Abstract: (International Press)

Fu and Yau constructed the first smooth family of gauge bundles over a class of non-Kähler, complex 3-folds that are solutions to Strominger’s system, the heterotic supersymmetry constraints with non-zero

H

-flux. In this paper, we begin the study of the massless spectrum arising from compactification using this construction by counting zero modes of thelinearized equations of motion for the gaugino in the supergravity approximation. We rephrase the question in terms of a cohomology problem and show that for a trivial gauge bundle, this cohomology reduces to the Dolbeault cohomology of the 3-fold, which we then compute.

Note:

22pgs/ Changed to the ATMP style and minor other changes

string model: heterotic
torsion
compactification
fibre bundle
constraint
particle: multiplet
particle: massless
cohomology
geometry: algebra
zero mode

References(24)

Figures(0)

Vacuum configurations for superstrings

P. Candelas
(
- Texas U. and
- Santa Barbara, KITP
)
,
Gary T. Horowitz
(
- UC, Santa Barbara
)
,
Andrew Strominger
(
- Princeton, Inst. Advanced Study
)
,
Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 258 (1985) 46-74,
- Nucl.Phys.B 258 (1985) 46-74,
- Also in *Schwarz, J.H. (ed.): Superstrings, Vol. 2*, 1107-1137, and in *Ferrara, S. (ed.): Supersymmetry, Vol. 2*, 1310-1338, and in *Dine, M. (ed.): String theory in four dimensions* 49-77
•
DOI:
- 10.1016/0550-3213(85)90602-9

Superstrings with Torsion

Andrew Strominger
(
- Santa Barbara, KITP and
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 274 (1986) 253,
- Nucl. Phys. B274 ( 1986) 253-284 and Calif. Univ. Santa Barbara - NSF-ITP-86-016 (86,REC.MAR.) 32 P. (604232)
•
DOI:
- 10.1016/0550-3213(86)90286-5

De Sitter vacua in string theory

Shamit Kachru
(
- Stanford U., Phys. Dept. and
- SLAC
)
,
Renata Kallosh
(
- Stanford U., Phys. Dept.
)
,
Andrei D. Linde
(
- Stanford U., Phys. Dept.
)
,
Sandip P. Trivedi
(
- Tata Inst.
)

- Phys.Rev.D 68 (2003) 046005
•
e-Print:
- hep-th/0301240
•
DOI:
- 10.1103/PhysRevD.68.046005

NonKahler string backgrounds and their five torsion classes

Gabriel Lopes Cardoso
(
- Humboldt U., Berlin
)
,
G. Curio
(
- Humboldt U., Berlin
)
,
G. Dall'Agata
(
- Humboldt U., Berlin
)
,
D. Lust
(
- Humboldt U., Berlin
)
,
P. Manousselis
(
- Natl. Tech. U., Athens
)

et al.

- Nucl.Phys.B 652 (2003) 5-34
•
e-Print:
- hep-th/0211118
•
DOI:
- 10.1016/S0550-3213(03)00049-X

Compactifications of the Heterotic Superstring

C.M. Hull
(
- Cambridge U.
)

- Phys.Lett.B 178 (1986) 357-364
•
DOI:
- 10.1016/0370-2693(86)91393-6

M theory, orientifolds and G - flux

- JHEP 08 (1999) 023
•
e-Print:
- hep-th/9908088
•
DOI:
- 10.1088/1126-6708/1999/08/023

Heterotic strings with torsion

Katrin Becker
(
- Utah U.
)
,
Keshav Dasgupta
(
- Stanford U., Phys. Dept.
)

- JHEP 11 (2002) 006
•
e-Print:
- hep-th/0209077
•
DOI:
- 10.1088/1126-6708/2002/11/006

Kahler versus nonKahler compactifications

Compactifications of heterotic theory on nonKahler complex manifolds. 1.

Katrin Becker
(
- Utah U.
)
,
Melanie Becker
(
- Maryland U.
)
,
Keshav Dasgupta
(
- Stanford U., Phys. Dept.
)
,
Paul S. Green
(
- Maryland U.
)

- JHEP 04 (2003) 007
•
e-Print:
- hep-th/0301161
•
DOI:
- 10.1088/1126-6708/2003/04/007

Properties of heterotic vacua from superpotentials

Katrin Becker
(
- Utah U.
)
,
Melanie Becker
(
- Maryland U.
)
,
Keshav Dasgupta
(
- Stanford U., Phys. Dept.
)
,
Sergey Prokushkin
(
- Stanford U., Phys. Dept.
)

- Nucl.Phys.B 666 (2003) 144-174
•
e-Print:
- hep-th/0304001
•
DOI:
- 10.1016/S0550-3213(03)00495-4

Compactifications of heterotic strings on nonKahler complex manifolds. 2.

Katrin Becker
(
- Utah U.
)
,
Melanie Becker
(
- Maryland U.
)
,
Paul S. Green
(
- Maryland U.
)
,
Keshav Dasgupta
(
- Stanford U., Phys. Dept.
)
,
Eric Sharpe
(
- Illinois U., Urbana, Math. Dept.
)

- Nucl.Phys.B 678 (2004) 19-100
•
e-Print:
- hep-th/0310058
•
DOI:
- 10.1016/j.nuclphysb.2003.11.029

Heterotic flux compactifications and their moduli

Katrin Becker
(
- Texas A-M and
- Radcliffe Coll. and
- Utah U.
)
,
Li-Sheng Tseng
(
- Utah U.
)

- Nucl.Phys.B 741 (2006) 162-179
•
e-Print:
- hep-th/0509131
•
DOI:
- 10.1016/j.nuclphysb.2006.02.013

Heterotic on half-flat

Sebastien Gurrieri
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Andre Lukas
(
- Sussex U.
)
,
Andrei Micu
(
- Sussex U.
)

- Phys.Rev.D 70 (2004) 126009
•
e-Print:
- hep-th/0408121
•
DOI:
- 10.1103/PhysRevD.70.126009

Moduli stabilisation in heterotic string compactifications

Beatriz de Carlos
(
- Sussex U.
)
,
Sebastien Gurrieri
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Andre Lukas
(
- Oxford U., Theor. Phys.
)
,
Andrei Micu
(
- Sussex U.
)

- JHEP 03 (2006) 005
•
e-Print:
- hep-th/0507173
•
DOI:
- 10.1088/1126-6708/2006/03/005

AdS strings with torsion: Non-complex heterotic compactifications

Andrew R. Frey
(
- Caltech
)
,
Matthew Lippert
(
- Kentucky U. and
- Louisville U.
)

- Phys.Rev.D 72 (2005) 126001
•
e-Print:
- hep-th/0507202
•
DOI:
- 10.1103/PhysRevD.72.126001

Supersymmetric compactifications of heterotic strings with fluxes and condensates

Pantelis Manousselis
(
- Patras U.
)
,
Nikolaos Prezas
(
- Neuchatel U.
)
,
George Zoupanos
(
- Natl. Tech. U., Athens
)

- Nucl.Phys.B 739 (2006) 85-105
•
e-Print:
- hep-th/0511122
•
DOI:
- 10.1016/j.nuclphysb.2006.01.008

The Theory of superstring with flux on non-Kahler manifolds and the complex Monge-Ampere equation

Ji-Xiang Fu
(
- Fudan U. and
- Fudan U., Surf. Phys. Lab.
)
,
Shing-Tung Yau
(
- Harvard U., Dept. Math.
)

- J.Diff.Geom. 78 (2008) 3, 369-428
•
e-Print:
- hep-th/0604063

Geometric model for complex nonKahler manifolds with SU(3) structure

- Commun.Math.Phys. 251 (2004) 65-78
•
e-Print:
- hep-th/0212307
•
DOI:
- 10.1007/s00220-004-1167-7

Anomaly cancellation and smooth non-Kahler solutions in heterotic string theory

Katrin Becker
(
- Texas A-M and
- Harvard U., Phys. Dept.
)
,
Melanie Becker
(
- Texas A-M and
- Harvard U., Phys. Dept.
)
,
Ji-Xiang Fu
(
- Fudan U.
)
,
Li-Sheng Tseng
(
- Utah U. and
- Harvard U., Dept. Math.
)
,
Shing-Tung Yau
(
- Harvard U., Dept. Math.
)

- Nucl.Phys.B 751 (2006) 108-128
•
e-Print:
- hep-th/0604137
•
DOI:
- 10.1016/j.nuclphysb.2006.05.034

(2, 0) Supersymmetry and Space-Time Supersymmetry in the Heterotic String Theory

Ashoke Sen
(
- SLAC
)

- Nucl.Phys.B 278 (1986) 289-308
•
DOI:
- 10.1016/0550-3213(86)90214-2

Heterotic solitons

Andrew Strominger
(
- UC, Santa Barbara
)

- Nucl.Phys.B 343 (1990) 167-184,
- Nucl.Phys.B 353 (1991) 565-565 (erratum)
•
DOI:
- 10.1016/0550-3213(90)90599-9

Existence of supersymmetric Hermitian metrics with torsion on non-Kahler manifolds

Ji-Xiang Fu
(
- Fudan U.
)
,
Shing-Tung Yau
(
- Harvard U., Dept. Math.
)

e-Print:
- hep-th/0509028

Superstrings with intrinsic torsion

- Phys.Rev.D 69 (2004) 086002
•
e-Print:
- hep-th/0302158
•
DOI:
- 10.1103/PhysRevD.69.086002

Type IIB solutions with interpolating supersymmetries

- Phys.Rev.D 68 (2003) 106002
•
e-Print:
- hep-th/0307142
•
DOI:
- 10.1103/PhysRevD.68.106002