F-theory flux vacua at large complex structure
F-theory flux vacua at large complex structure
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大型复杂结构的F理论磁通真空
DOI：
10.1007/jhep08(2021)077
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发表时间：
2021
影响因子：
5.4
通讯作者：
Max Wiesner
中科院分区：
文献类型：
--
作者：
F. Marchesano;David Prieto;Max Wiesner
我们计算了大复杂结构下四维F理论紧化中的通量诱导F项势。在这种情况下，每个复杂结构场分裂为一个轴子场加上它的轴子场，经典F项势的形式为V = ZABρAρB，直到指数抑制项，ρ取决于通量和轴子，Z取决于轴子。我们给出了Z和ρ的显式的一般表达式，并从那里分析了任意数量场的通量真空集。我们确定了两个家庭的真空与所有复杂的结构领域固定和通量的贡献，这是有界的tad极Nflux。在第一个也是最通用的一个例子中，saxion vev从上面被Nflux的幂所约束。在第二种情况下，它们的vevs可能是无界的，Nflux是两个任意整数的乘积，这与蝌蚪猜想所声称的不同。我们专注于IIB型orientifolds，其中两个家庭的真空都存在，并将我们的分析与文献中以前的结果。我们用几个例子来说明我们的发现。
We compute the flux-induced F-term potential in 4d F-theory compactifications at large complex structure. In this regime, each complex structure field splits as an axionic field plus its saxionic partner, and the classical F-term potential takes the form V = ZABρAρB up to exponentially-suppressed terms, with ρ depending on the fluxes and axions and Z on the saxions. We provide explicit, general expressions for Z and ρ, and from there analyse the set of flux vacua for an arbitrary number of fields. We identify two families of vacua with all complex structure fields fixed and a flux contribution to the tad- pole Nflux which is bounded. In the first and most generic one, the saxion vevs are bounded from above by a power of Nflux. In the second their vevs may be unbounded and Nflux is a product of two arbitrary integers, unlike what is claimed by the Tadpole Conjecture. We specialise to type IIB orientifolds, where both families of vacua are present, and link our analysis with previous results in the literature. We illustrate our findings with several examples.