Built on

D. Andriot, Open problems on classical de Sitter solutions , Fortsch. Phys. 67
Original
1902
Earlier work this paper cites.
E. Palti, The Swampland: Introduction and Review , Fortsch. Phys. 67
Original
1903
Earlier work this paper cites.
A. Font, A. Herráez and L. E. Ibáñez, The Swampland Distance Conjecture and Towers of Tensionless Branes , JHEP 08
Original
1904
Earlier work this paper cites.
F. Marchesano and M. Wiesner, Instantons and infinite distances , JHEP 08
Original
1904
Earlier work this paper cites.
S.-J. Lee, W. Lerche and T. Weigand, Emergent Strings, Duality and Weak Coupling Limits for Two-Form Fields , 1904.06344
Original
1904
Earlier work this paper cites.
T. W. Grimm and D. Van De Heisteeg, Infinite Distances and the Axion Weak Gravity Conjecture , 1905.00901
Original
1905
Earlier work this paper cites.
L. F. Alday and E. Perlmutter, Growing Extra Dimensions in AdS/CFT , JHEP 08
Original
1906
Earlier work this paper cites.
D. Lüst, E. Palti and C. Vafa, AdS and the Swampland , Physics Letters B 797
Original
1906
Earlier work this paper cites.
S. Lanza, F. Marchesano, L. Martucci and D. Sorokin, How many fluxes fit in an EFT? , 1907.11256
Original
1907
Earlier work this paper cites.
F. Marchesano and J. Quirant, A Landscape of AdS Flux Vacua , 1908.11386
Original
1908
Earlier work this paper cites.
P. Shukla, T T -dualizing the de-Sitter no-go scenarios , 1909.08630
Original
1909
Earlier work this paper cites.
A. Bedroya and C. Vafa, Trans-Planckian Censorship and the Swampland , 1909.11063
Original
1909
Earlier work this paper cites.
S.-J. Lee, W. Lerche and T. Weigand, Emergent Strings from Infinite Distance Limits , 1910.01135
Original
1910
Earlier work this paper cites.
T. W. Grimm, F. Ruehle and D. van de Heisteeg, Classifying Calabi-Yau threefolds using infinite distance limits , 1910.02963
Original
1910
Earlier work this paper cites.
P. Draper and S. Farkas, Transplanckian Censorship and the Local Swampland Distance Conjecture , 1910.04804
Original
1910
Earlier work this paper cites.
W. Schmid, Variation of Hodge structure: the singularities of the period mapping , Invent. Math. , 22:211–319, 1973
1973
Earlier work this paper cites.
M. Dine and N. Seiberg, Is the Superstring Weakly Coupled? , Phys. Lett. 162B
1985
Earlier work this paper cites.
M. Kashiwara, The asymptotic behavior of a variation of polarized Hodge structure , Publ. Res. Inst. Math. Sci. 21
1985
Earlier work this paper cites.
E. Cattani, A. Kaplan and W. Schmid, Degeneration of Hodge Structures , Annals of Mathematics 123
1986
Earlier work this paper cites.
N. Kaloper and L. Sorbo, A Natural Framework for Chaotic Inflation , Phys. Rev. Lett. 102
Original
1989
Earlier work this paper cites.
P. Deligne, Structures de Hodge mixtes réelles , in Motives (Seattle, WA, 1991) , vol. 55 of Proc. Sympos. Pure Math. , pp. 509–514, Amer. Math. Soc., Providence, RI, (1994)
Original
1994
Earlier work this paper cites.
M. J. Duff, J. T. Liu and R. Minasian, Eleven-dimensional origin of string-string duality: A One loop test , Nucl. Phys. B452
1995
Earlier work this paper cites.
S. Sethi, C. Vafa and E. Witten, Constraints on low dimensional string compactifications , Nucl. Phys. B480
1996
Earlier work this paper cites.
K. Becker and M. Becker, M-theory on eight manifolds , Nucl. Phys. B477
1996
Earlier work this paper cites.
C. Vafa, Evidence for F-theory , Nucl. Phys. B469
1996
Earlier work this paper cites.
A. Sen, F-theory and orientifolds , Nucl. Phys. B475
1996
Earlier work this paper cites.
K. Dasgupta, G. Rajesh and S. Sethi, M-theory, orientifolds and G-flux , JHEP 08
1999
Earlier work this paper cites.
J. M. Maldacena and C. Nuñez, Supergravity description of field theories on curved manifolds and a no go theorem , Int. J. Mod. Phys. A16
2001
Earlier work this paper cites.
M. Haack and J. Louis, M-theory compactified on Calabi-Yau fourfolds with background flux , Phys. Lett. B507
2001
Earlier work this paper cites.
S. Gukov, C. Vafa and E. Witten, CFT’s from Calabi-Yau four folds , Nucl. Phys. B584
2001
Earlier work this paper cites.
M. Berg, M. Haack and H. Samtleben, Calabi-Yau fourfolds with flux and supersymmetry breaking , JHEP 04
2003
Earlier work this paper cites.
O. DeWolfe, A. Giryavets, S. Kachru and W. Taylor, Type IIA moduli stabilization , JHEP 07
2005
Earlier work this paper cites.
T. W. Grimm and J. Louis, The Effective action of type IIA Calabi-Yau orientifolds , Nucl. Phys. B718
2005
Earlier work this paper cites.
T. W. Grimm, The Effective action of type II Calabi-Yau orientifolds , Fortsch. Phys. 53
2005
Earlier work this paper cites.

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P. G. Cámara, A. Font and L. E. Ibáñez, Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold , JHEP 09
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Then

F. Carta, F. Marchesano, W. Staessens and G. Zoccarato, Open string multi-branched and Kähler potentials , JHEP 09
Original
2016
Later among the works it cites.
F. F. Gautason, M. Schillo, T. Van Riet and M. Williams, Remarks on scale separation in flux vacua , JHEP 03
Original
2016
Later among the works it cites.
I. Valenzuela, Backreaction Issues in Axion Monodromy and Minkowski 4-forms , JHEP 06
Original
2017
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R. Blumenhagen, I. Valenzuela and F. Wolf, The Swampland Conjecture and F-term Axion Monodromy Inflation , JHEP 07
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D. Klaewer and E. Palti, Super-Planckian Spatial Field Variations and Quantum Gravity , JHEP 01

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2019

Asymptotic Flux Compactifications and the Swampland

Grimm, Thomas W., Li, Chongchuo, Valenzuela, Irene

Understand

We initiate the systematic study of flux scalar potentials and their vacua by using asymptotic Hodge theory.

To begin with, we consider F-theory compactifications on Calabi-Yau fourfolds with four-form flux.
We argue that a classifications of all scalar potentials can be performed when focusing on regions in the field space in which one or several fields are large and close to a boundary.
To exemplify the constraints on such asymptotic flux compactifications, we explicitly determine this classification for situations in which two complex structure moduli are taken to be large.

Built on

D. Andriot, Open problems on classical de Sitter solutions , Fortsch. Phys. 67
Original
1902
Earlier work this paper cites.
E. Palti, The Swampland: Introduction and Review , Fortsch. Phys. 67
Original
1903
Earlier work this paper cites.
A. Font, A. Herráez and L. E. Ibáñez, The Swampland Distance Conjecture and Towers of Tensionless Branes , JHEP 08
Original
1904
Earlier work this paper cites.
F. Marchesano and M. Wiesner, Instantons and infinite distances , JHEP 08
Original
1904
Earlier work this paper cites.
S.-J. Lee, W. Lerche and T. Weigand, Emergent Strings, Duality and Weak Coupling Limits for Two-Form Fields , 1904.06344
Original
1904
Earlier work this paper cites.
T. W. Grimm and D. Van De Heisteeg, Infinite Distances and the Axion Weak Gravity Conjecture , 1905.00901
Original
1905
Earlier work this paper cites.
L. F. Alday and E. Perlmutter, Growing Extra Dimensions in AdS/CFT , JHEP 08
Original
1906
Earlier work this paper cites.
D. Lüst, E. Palti and C. Vafa, AdS and the Swampland , Physics Letters B 797
Original
1906
Earlier work this paper cites.
S. Lanza, F. Marchesano, L. Martucci and D. Sorokin, How many fluxes fit in an EFT? , 1907.11256
Original
1907
Earlier work this paper cites.
F. Marchesano and J. Quirant, A Landscape of AdS Flux Vacua , 1908.11386
Original
1908
Earlier work this paper cites.
P. Shukla, T T -dualizing the de-Sitter no-go scenarios , 1909.08630
Original
1909
Earlier work this paper cites.
A. Bedroya and C. Vafa, Trans-Planckian Censorship and the Swampland , 1909.11063
Original
1909
Earlier work this paper cites.
S.-J. Lee, W. Lerche and T. Weigand, Emergent Strings from Infinite Distance Limits , 1910.01135
Original
1910
Earlier work this paper cites.
T. W. Grimm, F. Ruehle and D. van de Heisteeg, Classifying Calabi-Yau threefolds using infinite distance limits , 1910.02963
Original
1910
Earlier work this paper cites.
P. Draper and S. Farkas, Transplanckian Censorship and the Local Swampland Distance Conjecture , 1910.04804
Original
1910
Earlier work this paper cites.
W. Schmid, Variation of Hodge structure: the singularities of the period mapping , Invent. Math. , 22:211–319, 1973
1973
Earlier work this paper cites.
M. Dine and N. Seiberg, Is the Superstring Weakly Coupled? , Phys. Lett. 162B
1985
Earlier work this paper cites.
M. Kashiwara, The asymptotic behavior of a variation of polarized Hodge structure , Publ. Res. Inst. Math. Sci. 21
1985
Earlier work this paper cites.
E. Cattani, A. Kaplan and W. Schmid, Degeneration of Hodge Structures , Annals of Mathematics 123
1986
Earlier work this paper cites.
N. Kaloper and L. Sorbo, A Natural Framework for Chaotic Inflation , Phys. Rev. Lett. 102
Original
1989
Earlier work this paper cites.
P. Deligne, Structures de Hodge mixtes réelles , in Motives (Seattle, WA, 1991) , vol. 55 of Proc. Sympos. Pure Math. , pp. 509–514, Amer. Math. Soc., Providence, RI, (1994)
Original
1994
Earlier work this paper cites.
M. J. Duff, J. T. Liu and R. Minasian, Eleven-dimensional origin of string-string duality: A One loop test , Nucl. Phys. B452
1995
Earlier work this paper cites.
S. Sethi, C. Vafa and E. Witten, Constraints on low dimensional string compactifications , Nucl. Phys. B480
1996
Earlier work this paper cites.
K. Becker and M. Becker, M-theory on eight manifolds , Nucl. Phys. B477
1996
Earlier work this paper cites.
C. Vafa, Evidence for F-theory , Nucl. Phys. B469
1996
Earlier work this paper cites.
A. Sen, F-theory and orientifolds , Nucl. Phys. B475
1996
Earlier work this paper cites.
K. Dasgupta, G. Rajesh and S. Sethi, M-theory, orientifolds and G-flux , JHEP 08
1999
Earlier work this paper cites.
J. M. Maldacena and C. Nuñez, Supergravity description of field theories on curved manifolds and a no go theorem , Int. J. Mod. Phys. A16
2001
Earlier work this paper cites.
M. Haack and J. Louis, M-theory compactified on Calabi-Yau fourfolds with background flux , Phys. Lett. B507
2001
Earlier work this paper cites.
S. Gukov, C. Vafa and E. Witten, CFT’s from Calabi-Yau four folds , Nucl. Phys. B584
2001
Earlier work this paper cites.
M. Berg, M. Haack and H. Samtleben, Calabi-Yau fourfolds with flux and supersymmetry breaking , JHEP 04
2003
Earlier work this paper cites.
O. DeWolfe, A. Giryavets, S. Kachru and W. Taylor, Type IIA moduli stabilization , JHEP 07
2005
Earlier work this paper cites.
T. W. Grimm and J. Louis, The Effective action of type IIA Calabi-Yau orientifolds , Nucl. Phys. B718
2005
Earlier work this paper cites.
T. W. Grimm, The Effective action of type II Calabi-Yau orientifolds , Fortsch. Phys. 53
2005
Earlier work this paper cites.

Similar

P. G. Cámara, A. Font and L. E. Ibáñez, Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold , JHEP 09
2005
Cited alongside, same era.
M. Graña, Flux compactifications in string theory: A Comprehensive review , Phys. Rept. 423
2006
Cited alongside, same era.
M. P. Hertzberg, S. Kachru, W. Taylor and M. Tegmark, Inflationary Constraints on Type IIA String Theory , JHEP 12
Original
2007
Cited alongside, same era.
H. Ooguri and C. Vafa, On the Geometry of the String Landscape and the Swampland , Nucl. Phys. B766
2007
Cited alongside, same era.
M. R. Douglas and S. Kachru, Flux compactification , Rev. Mod. Phys. 79
2007
Cited alongside, same era.