Non-geometric string backgrounds and worldsheet algebras

Journal of High Energy Physics

Volumn 2008, Issue 7, 2008, Pages

  Halmagyi, Nick ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

Bosonic strings; Flux compactifications

Indexed keywords

EID: 49749132787     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/07/137     Document Type: Article

References (39)

1. S. Hellerman, J. McGreevy and B. Williams, Geometric constructions of nongeometric string theories 2004 J. High Energy Phys. JHEP01(2004)024 [hep-th/0208174]
2. A. Flournoy, B. Wecht and B. Williams, Constructing nongeometric vacua in string theory 2005 Nucl. Phys. B 706 127 [hep-th/0404217]
3. A. Flournoy and B. Williams, Nongeometry, duality twists and the worldsheet 2006 J. High Energy Phys. JHEP01(2006)166 [hep-th/0511126]
4. S. Hellerman and J. Walcher, Worldsheet CFTs for flat monodrofolds [hep-th/0604191]
5. I. Ellwood and A. Hashimoto, Effective descriptions of branes on non-geometric tori 2006 J. High Energy Phys. JHEP12(2006)025 [hep-th/0607135]
6. A. Alekseev and T. Strobl, Current algebra and differential geometry 2005 J. High Energy Phys. JHEP03(2005)035 [hep-th/0410183]
7. D. Roytenberg, A note on quasi Lie bialgebroids and twisted Poisson manifolds 2002 Lett. Math. Phys. 61 123 [math.QA/0112152]
8. T.H. Buscher, Path integral derivation of quantum duality in nonlinear σ-models 1988 Phys. Lett. B 201 466
9. P. Bouwknegt, K. Hannabuss and V. Mathai, Nonassociative tori and applications to T-duality 2006 Comm. Math. Phys. 264 41 [hep-th/0412092]
10. V. Mathai and J.M. Rosenberg, T-duality for torus bundles via noncommutative topology 2004 Comm. Math. Phys. 253 705 [hep-th/0401168]
11. V. Mathai and J.M. Rosenberg, On mysteriously missing T-duals, H-flux and the T-duality group [hep-th/0409073]
12. D.M. Belov, C.M. Hull and R. Minasian, T-duality, gerbes and loop spaces [0710.5151]
13. J. Shelton, W. Taylor and B. Wecht, Nongeometric flux compactifications 2005 J. High Energy Phys. JHEP10(2005)085 [hep-th/0508133]
14. M. Gualtieri, Generalized complex geometry [math.DG/0401221]
15. Y. Kosmann-Schwarzbach, Quasi, twisted, and all that in poisson geometry and Lie algebroid theory [math.SG/0310359]
16. P. Severa and A. Weinstein, Poisson geometry with a 3-form background 2001 Prog. Theor. Phys. Suppl. 144 145 [math.SG/0107133]
17. Y. Kosmann-Schwarzbach, Derived brackets 2004 Lett. Math. Phys. 69 61 [math.DG/0312524]
18. L. Baulieu, A.S. Losev and N.A. Nekrasov, Target space symmetries in topological theories. I 2002 J. High Energy Phys. JHEP02(2002)021 [hep-th/0106042]
19. N. Seiberg and E. Witten, String theory and noncommutative geometry 1999 J. High Energy Phys. JHEP09(1999)032 [hep-th/9908142]
20. D.A. Lowe, H. Nastase and S. Ramgoolam, Massive IIA string theory and matrix theory compactification 2003 Nucl. Phys. B 667 55 [hep-th/0303173]
21. P. Grange and S. Schäfer-Nameki, T-duality with H-flux: non-commutativity, T-folds and G × G structure 2007 Nucl. Phys. B 770 123 [hep-th/0609084]
22. V. Stojevic, Topological A-type models with flux 2008 J. High Energy Phys. JHEP05(2008)023 [0801.1160]
23. D. Roytenberg, AKSZ-BV formalism and Courant algebroid-induced topological field theories 2007 Lett. Math. Phys. 79 143 [hep-th/0608150]
24. N. Halmagyi and R. Minasian, Global aspects of non-geometric backgrounds work in progress
25. N. Kaloper and R.C. Myers, The O(dd) story of massive supergravity 1999 J. High Energy Phys. JHEP05(1999)010 [hep-th/9901045]
26. A. Dabholkar and C. Hull, Generalised T-duality and non-geometric backgrounds 2006 J. High Energy Phys. JHEP05(2006)009 [hep-th/0512005]
27. S. Gukov, C. Vafa and E. Witten, CFT's from Calabi-Yau four-folds 2000 Nucl. Phys. B 584 69 [Erratum 2001 Nucl. Phys. B 608 477] [hep-th/9906070]
28. N. Halmagyi and A. Tomasiello, Generalized Kähler potentials from supergravity [0708.1032]
29. A. Butti et al., On the geometry and the moduli space of beta-deformed quiver gauge theories 2008 J. High Energy Phys. JHEP07(2008)053 [0712.1215]
30. O. Lunin and J.M. Maldacena, Deforming field theories with U(1) × U(1) global symmetry and their gravity duals 2005 J. High Energy Phys. JHEP05(2005)033 [hep-th/0502086]
31. M. Kulaxizi, Marginal deformations of N = 4 SYM and open vs. closed string parameters [hep-th/0612160]
32. C.M. Hull, A geometry for non-geometric string backgrounds 2005 J. High Energy Phys. JHEP10(2005)065 [hep-th/0406102]
33. C.M. Hull, Generalised geometry for M-theory 2007 J. High Energy Phys. JHEP07(2007)079 [hep-th/0701203]
34. N. Berkovits, Covariant quantization of the Green-Schwarz superstring in a Calabi-Yau background 1994 Nucl. Phys. B 431 258 [hep-th/9404162]
35. W.D. Linch III and B.C. Vallilo, Hybrid formalism, supersymmetry reduction and Ramond-Ramond fluxes 2007 J. High Energy Phys. JHEP01(2007)099 [hep-th/0607122]
36. W.D. Linch III, J. McOrist and B.C. Vallilo, Type IIB flux vacua from the string worldsheet [0804.0613]
37. M. Grãa, R. Minasian, M. Petrini and A. Tomasiello, Generalized structures of N = 1 vacua 2005 J. High Energy Phys. JHEP11(2005)020 [hep-th/0505212]
38. Y. Kosmann-Schwarzbach, From Poisson algebras to Gerstenhaber algebras 1996 Ann. Inst. Fourier (Grenoble) 46 1243
39. C. Klimcik and T. Strobl, WZW-Poisson manifolds 2002 J. Geom. Phys. 43 341 [math.SG/0104189]