论文标题

关于热相关因子和Chern-simons中的两个相关二重性,具有巨大的基本问题

On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter

论文作者

Mishra, Amiya

论文摘要

我们认为Chern-Simons理论在有限温度下的三个时空维度(在$ n $限制的情况下)结合了三个时空的基本问题。我们分别计算出该理论中的几个热相关因子,分别针对费米子和骨气物质。结果是在大型$ n $'t HOHOFT限制中计算的,但对于't Hooft耦合的任意值。此外,我们将基本标量基本标量的四点函数的计算概括为有限温度。作为一致性检查,我们看到此处获得的结果在不同的限制案例中与现有的先前结果一致。此外,我们检查结果是否与猜想的琼脂化二元性一致,提供了其他证据。

We consider Chern-Simons theory coupled to massive fundamental matter in three spacetime dimensions at finite temperature, in the large $N$ limit. We compute several thermal correlators in this theory for both fermionic and bosonic matter separately. The results are computed in the large $N$ 't Hooft limit but for arbitrary values of the 't Hooft coupling. Furthermore, we generalize the computations of the four-point function of fundamental scalars in the bosonic theory to finite temperature. As a consistency check, we see that the results obtained here agree with the existing previous results in different limiting cases. Moreover, we check that the results are consistent with the conjectured bosonization duality, providing an additional evidence of it.

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