Topological Cigar and the c=1 String : Open and Closed

Abstract

We clarify some aspects of the map between the c=1 string theory at self-dual radius and the topologically twisted cigar at level one. We map the ZZ and FZZT D-branes in the c=1 string theory at self dual radius to the localized and extended branes in the topological theory on the cigar. We show that the open string spectrum on the branes in the two theories are in correspondence with each other, and their two point correlators are equal. We also find a representation of an extended N=2 algebra on the worldsheet which incorporates higher spin currents in terms of asymptotic variables on the cigar.

37 pages, 2 figures, corrections to section 3.1, references added

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Cited by in corpus (8)

• D-branes in non-critical superstrings and duality in N=1 gauge theories with flavor
• On the Connection between N=2 Minimal String and (1,n) Bosonic Minimal String
• Large N gauge theories and topological cigars
• D-branes in Unoriented Non-critical Strings and Duality in SO(N) and Sp(N) Gauge Theories
• On Minimal N=4 Topological Strings And The (1,k) Minimal Bosonic String
• The Topological Cigar Observables
• Refined Cigar and Omega-deformed Conifold
• Permutation Orientifolds