通过相对二象性的相对场论

IF 1.4 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2025-05-30 DOI:10.1007/s11005-025-01948-7

Claudia Scheimbauer, Thomas Stempfhuber

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引用次数: 0

摘要

我们研究了为拓扑场论（tft）的相对版本设计的对偶性的相对版本，也称为扭曲tft，或对称背景下的乳状tft。在偶维中，我们证明了在\((\infty , N)\text {-}\)范畴中具有可配性的lax和oplax完全扩展框架相对拓扑场论之间的等价性。基于此，我们系统地研究了更高的辅助条件及其对相对tft的影响。我们的分析使我们确定了相对于TFT的opplax作为选择的概念。最后，为了好玩，我们探索了可辅助性的树版本，并计算了等价类的数量。

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Relative field theories via relative dualizability

We investigate relative versions of dualizability designed for relative versions of topological field theories (TFTs), also called twisted TFTs, or quiche TFTs in the context of symmetries. In even dimensions, we show an equivalence between lax and oplax fully extended framed relative topological field theories valued in an \((\infty , N)\text {-}\) category in terms of adjunctibility. Motivated by this, we systematically investigate higher adjunctibility conditions and their implications for relative TFTs. Our analysis leads us to identify the oplax relative TFT as the notion of choice. Finally, for fun we explore a tree version of adjunctibility and compute the number of equivalence classes thereof.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.