Brane field theory with higher-form symmetry
- 日時
- 2024年3月12日(火)14:00 - 15:30 (JST)
- 講演者
-
- 川名 清晴 (Research Fellow, Korea Institute for Advanced Study (KIAS), Republic of Korea)
- 言語
- 英語
- ホスト
- Takeru Yokota
We propose field theory for branes with higher-form symmetry as a generalization of ordinary Landau theory. The field \psi[C_p^{}] becomes a functional of p-dimensional closed brane Cp embedded in a spacetime. As a natural generalization of ordinary field theory, we call this theory brane field theory. In order to construct an action that is invariant under higher-form transformation, we first generalize the concept of “derivative” for higher-dimensional objects. Then, we discuss various fundamental properties of the brane field based on the higher-form invariant action. It is shown that the classical solution exhibits the area law in the unbroken phase of U(1) p-form symmetry, while it indicates a constant behavior in the broken phase for the large volume limit of Cp. In the latter case, the low-energy effective theory is described by the p-form Maxwell theory. If time permits, we also discuss brane-field theories with a discrete higher-form symmetry and show that the low-energy effective theory becomes a BF-type topological field theory, resulting in topological order.
このイベントは研究者向けのクローズドイベントです。一般の方はご参加頂けません。メンバーや関係者以外の方で参加ご希望の方は、フォームよりお問い合わせ下さい。講演者やホストの意向により、ご参加頂けない場合もありますので、ご了承下さい。