Details

Autor(en) / Beteiligte

• Pei, Du
• Ye, Ke

Titel

A 3d-3d appetizer

Ist Teil von

• The journal of high energy physics, 2016-11, Vol.2016 (11), p.1-25, Article 8

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2016

Link zum Volltext

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• A bstract We test the 3d-3d correspondence for theories that are labeled by Lens spaces. We find a full agreement between the index of the 3d N = 2 “Lens space theory” T [ L ( p, 1)] and the partition function of complex Chern-Simons theory on L ( p, 1). In particular, for p = 1, we show how the familiar S 3 partition function of Chern-Simons theory arises from the index of a free theory. For large p , we find that the index of T [ L ( p, 1)] becomes a constant independent of p . In addition, we study T [ L ( p, 1)] on the squashed three-sphere S b 3 . This enables us to see clearly, at the level of partition function, to what extent G ℂ complex Chern-Simons theory can be thought of as two copies of Chern-Simons theory with compact gauge group G .