Math @ Duke

Publications [#248083] of Ronen Plesser
Papers Published
 Hanany, A; Oz, Y; Plesser, MR, Topological LandauGinzburg formulation and integrable structure of twodimensional string theory,
Nuclear Physics B, vol. 425 no. 12
(1994),
pp. 150172 [9401030]
(last updated on 2017/12/17)
Abstract: We construct a topological LandauGinzburg formulation of the twodimensional string at the selfdual radius. The model is an analytic continuation of the Ak+1 minimal model to k = 3. We compute the superpotential and calculate tachyon correlators in the LandauGinzburg framework. The results are in complete agreement with matrix model calculations. We identify the momentum one tachyon as the puncture operator, nonnegative momentum tachyons as primary fields, and negative momentum ones as descendants. The model thus has an infinite number of primary fields, and the topological metric vanishes on the small phase space when restricted to these. We find a parity invariant multicontact algebra with irreducible contact terms of arbitrarily large number of fields. The formulation of this LandauGinzburg description in terms of period integrals coincides with the genus zero WI+∞ identities of twodimensional string theory. We study the underlying Toda lattice integrable hierarchy in the Lax formulation and find that the LandauGinzburg superpotential coincides with a derivative of the BakerAkhiezer wave function in the dispersionless limit. This establishes a connection between the topological and integrable structures. Guided by this connection we derive relations formally analogous to the string equation.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

