On the boundary coupling of topological Landau-Ginzburg models | Zendy

Calin Iuliu Lazaroiu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On the boundary coupling of topological Landau-Ginzburg models

Author(s) -

Calin Iuliu Lazaroiu

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/05/037

Subject(s) - worldsheet , physics , partition function (quantum field theory) , endomorphism , boundary (topology) , manifold (fluid mechanics) , constant curvature , space (punctuation) , topology (electrical circuits) , string (physics) , curvature , mathematical physics , mathematics , pure mathematics , string field theory , quantum mechanics , mathematical analysis , geometry , combinatorics , mechanical engineering , linguistics , philosophy , engineering

I propose a general form for the boundary coupling of B-type topologicalLandau-Ginzburg models. In particular, I show that the relevant background inthe open string sector is a (generally non-Abelian) superconnection of type(0,1) living in a complex superbundle defined on the target space, which Iallow to be a non-compact Calabi-Yau manifold. This extends and clarifiesprevious proposals. Generalizing an argument due to Witten, I show that BRSTinvariance of the partition function on the worldsheet amounts to the conditionthat the (0,<= 2) part of the superconnection's curvature equals a constantendomorphism plus the Landau-Ginzburg potential times the identity section ofthe underlying superbundle. This provides the target space equations of motionfor the open topological model.Comment: 21 page

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research