fermat point
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2021 ◽  
Vol 161 ◽  
pp. 104326
Author(s):  
Omar Martínez ◽  
Israel Soto ◽  
Ricardo Campa


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
A. P. Braun ◽  
R. Valandro

Abstract We construct G4 fluxes that stabilize all of the 426 complex structure moduli of the sextic Calabi-Yau fourfold at the Fermat point. Studying flux stabilization usually requires solving Picard-Fuchs equations, which becomes unfeasible for models with many moduli. Here, we instead start by considering a specific point in the complex structure moduli space, and look for a flux that fixes us there. We show how to construct such fluxes by using algebraic cycles and analyze flat directions. This is discussed in detail for the sextic Calabi-Yau fourfold at the Fermat point, and we observe that there appears to be tension between M2-tadpole cancellation and the requirement of stabilizing all moduli. Finally, we apply our results to show that even though symmetric fluxes allow to automatically solve several F-term equations, they typically lead to flat directions.



Author(s):  
Ling Lyu ◽  
Zhenhang Chu ◽  
Bin Lin ◽  
Yanpeng Dai ◽  
Nan Cheng


2021 ◽  
Vol 35 (1) ◽  
pp. 92-97
Author(s):  
Dong-Liang Song ◽  
Gang Dong ◽  
Yi-Tong Yao ◽  
Yin-Tang Yang ◽  
Yang Wang
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