Modern Quantum Field Theory

Das, Santabrata; Dhar, Avinash; Mukhi, Sunil; Raina, A.; Sen, Amitabha

doi:10.1142/9789814540490

Search citation statements

Order By: Relevance

Paper Sections

Select...

A N ∞});2

Gauge Fixing and Asymptotic Conditions1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1996

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(3 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We can also view the g ij as the induced metric on the Cauchy surface derived by projecting η ab on . If we furthermore choose these coordinates on the worldsheet to be conformally flat: (20) then this action reduces to:…”

Section: Gauge Fixing and Asymptotic Conditionsmentioning

confidence: 99%

“…Now using (49) we can calculate the conformal factor defined by exp[φ] = e a z (z)e z,a (z) (see (20)…”

Section: A N ∞});mentioning

confidence: 99%

“…Alternatively, one can look at the exchange algebra (or half-monodromy) and determine what happens if two particles are exchanged. We expect that these half-monodromies obey some non-Abelian representation of the Yang-Baxter equation (see [20]). We hope to say more about this in the future.…”

Section: A N ∞});mentioning

confidence: 99%

See 2 more Smart Citations

Gravity in 2 + 1 dimensions as a Riemann - Hilbert problem

Welling

1996

Class. Quantum Grav.

View full text Add to dashboard Cite

In this paper we consider 2+1-dimensional gravity coupled to N pointparticles. We introduce a gauge in which the z-andz-components of the dreibein field become holomorphic and anti-holomorphic respectively. As a result we can restrict ourselves to the complex plane. Next we show that solving the dreibein-field: e a z (z) is equivalent to solving the RiemannHilbert problem for the group SO(2, 1). We give the explicit solution for 2 particles in terms of hypergeometric functions. In the N-particle case we give a representation in terms of conformal field theory. The dreibeins are expressed as correlators of 2 free fermion fields and twistoperators at the position of the particles.

show abstract

Section: Gauge Fixing and Asymptotic Conditionsmentioning

confidence: 99%

“…Now using (49) we can calculate the conformal factor defined by exp[φ] = e a z (z)e z,a (z) (see (20)…”

Section: A N ∞});mentioning

confidence: 99%