The Partition Function for Topological Field Theories

problems(e.g. the construction of observables[9]) and in sorting out deep ... by Horowitz and Srednicki[12] and by Blau and Thompson[2] that the l...

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and the SR2-UERJ are gratefully acknowledged for financial support. References ... [2] D. Birmingham, M. Blau, M. Rakowski and G. Thompson, Phys. Rep. 209 (1991) 129. ... Wesley Publishing Company, Frontiers in Physics; 82, 1991.

Dec 21, 2017 - 7.5 Application: A solution to a question of Gilmer and Masbaum . 60 ..... 2;2. ; it assigns to all 0- and 1-manifolds the respective unit object or identity morphism. Each 2-dimensional bordism Σ will have a source Y0 which is itself

Jun 3, 2015 - 1 Department of Mathematics, Harvard University, ..... the Government of Canada through Industry Canada and by the Province of Ontario ...

field theories and the problem of quantization of gauge theories. I'll start with old results (first ...... Publishing, River Edge, (NJ, 1992) II. J. Diff. Geom. 39 (1994) ...

Mar 14, 2010 - [16] A. Iqbal, C. Kozcaz and C. Vafa, JHEP 0910 (2009) 069 [arXiv:hep-th/0701156]. . [17] I. Antoniadis, E. Gava, K. S. Narain and T. R. Taylor, Nucl. Phys. B 476 (1996) 133. [arXiv:hep-th/9604077]. [18] N. Nekrasov and A. Okounkov, ar

Sep 8, 1995 - I provide an exact analytical verification of a relation checked by coefficient comparison to fourth order by. Kaplunovsky, Louis and Theisen.

Oct 8, 2007 - be used to fill in the column vectors of a square matrix Ea. M ≡ aa. M ; then, by ... described by a free CFT. Then we have .... states |BF 〉 that enforce an identification between the left and right moving modes (for a review of th

Oct 12, 2018 - satisfies this localisation condition. To write a letter one must sit at a desk to write the letter, bring it to the letter box and the receiver must read it ...

Apr 19, 2007 - This transformation property of the partition function is a central focus of this paper. The question we address, in the example of the resolved conifold, is how the choice of polarization manifests itself in the open topological strin

Apr 19, 2007 - wave functions: they introduce brane creation operators using a free .... The free energy of the open topological A-model for a single stack of ...

Apr 13, 2018 - the orbifold theory Z/G of a G-equivariant topological field theory Z assigns the ... where Z(M, ?) is an invariant function on the (finite) groupoid of ...

A super eld algorithm form asteractionsofa classofgauge eld theories including topologicalones in arbitrary dim ensions is presented generalizing a previous treatm ent in two dim ensions. G eneralform s for m aster actions in superspace are given,and

Jan 25, 2016 - We derive these results by relating logical gates of a topological code to automorphisms of the Verlinde ... 4.2 Density of the mapping class group representation and absence of protected gates 25 ..... in terms of the data of a modula

Jan 22, 2015 - field theories, namely these theories assign data also to manifolds of codimension 2. In the present work, ..... Mfg ≃ Mf ◦ Mg . In other words, f ...

Feb 7, 2008 - bundle, and, the moduli space of solutions forms a Hausdorff differentiable manifold. We shall call solutions to the topological Bogomol'nyi equations. 'topological instantons'. The topological field theories studied in [8] achieve thes

Let us consider the E8 solution F(t0,t6,t10,t12,t16,t18,t22,t28) and let t6 = t12 = t16 = t22 = 0. It is a ..... cation of modular invariants, it might offer an alternative route to the latter. One would first classify the ... B 340 (1990) 281. [2] R

Nov 13, 2007 - derivative term and evaluate the entropy of dyons to the first ... dyonic black holes in the STU model to the first subleading order in charges. The.

Mar 18, 2013 - generality is to begin grappling with the remarkable fact that many of the important vector spaces in physics are really defined over the natural numbers, meaning that they ...... [Wal06] K. Walker, TQFTs, http://canyon23.net/math/tc.p

The graph Gg is chosen in such a way that its ... subset of admissible colourings of Gg, depending on σ. We show .... To a non-connected surface one associates.

in a five-dimensional topological quantum field theory. SU-ITP-95-28. November 1995. MIT-CTP-2491 ... Atiyah's axioms and Floer cohomology theory in mind, we are then lead to the examination of the quantum .... (13) is non-trivial by virtue of the fa

Oct 9, 2007 - Furthermore, we generalize these results to the open topological string partition function as discussed recently by Walcher and reproduce his.

May 4, 2009 - This notion is fairly concrete, and it is not difficult to explicitly classify topological field theories of dimensions. ≤ 2. In §1.2, we ...... We can attempt to remedy the situation using higher category theory. .... At a first gla

D.Gross, J.Harvey, E.Martinec and R.Rohm, Nucl. Phys. B267 (1986) 75. [4] A. Cappelli, C. Itzykson and J.-B. Zuber, Nucl. Phys. B280 [FS18] (1987) 445;.

Oct 4, 1994 - in section II, this system is purely bosonic ( complete with Bose-Einstein condensation ) with the effects of the deforming parameter only appearing in correlation functions if the bi's are assumed to commute . We are therefore motivate