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N-point g-loop vertex for a free fermionic theory with arbitrary spin

Abstract:

We use the sewing procedure of the operator formalism to construct explicitly the N-point g-loop vertex VN; g for a free fermionic (b, c)-system with conformal weight (λ, 1 - λ). We show that this vertex has the structure we expect from geometrical arguments. We obtain also several geometrical objects, e.g. the holomorphic λ-differentials on an arbitrary Riemann surface, which turn out to be expressed as a Poincaré θ-series over all elements of the Schottky group. From VN; g we compute explic...

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Journal:
Nuclear Physics B More from this journal
Volume:
333
Issue:
3
Pages:
635-700
Publication date:
1990-01-01
DOI:
ISSN:
0550-3213
Language:
English
Pubs id:
pubs:486774
UUID:
uuid:ad54c69f-13d0-4844-9ba9-ce889a7c468a
Local pid:
pubs:486774
Source identifiers:
486774
Deposit date:
2014-10-23

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