scholarly journals Gromov-Witten theory of orbicurves, the space of tri-polynomials and symplectic field theory of Seifert fibrations

2010 ◽  
Vol 348 (2) ◽  
pp. 265-287 ◽  
Author(s):  
Paolo Rossi
Keyword(s):  
Field Theory ◽  
Witten Theory ◽  
Symplectic Field Theory

scholarly journals LOCAL SYMPLECTIC FIELD THEORY

2013 ◽  
Vol 24 (05) ◽  
pp. 1350041 ◽  
Author(s):  
OLIVER FABERT
Keyword(s):  
Field Theory ◽  
Symplectic Manifold ◽  
Local Version ◽  
Algebraic Structures ◽  
Witten Theory ◽  
Symplectic Field Theory

Generalizing local Gromov–Witten theory, in this paper we define a local version of symplectic field theory. When the symplectic manifold with cylindrical ends is four-dimensional and the underlying simple curve is regular by automatic transversality, we establish a transversality result for all its multiple covers and discuss the resulting algebraic structures.

TETRAHEDRA AND POLYNOMIAL EQUATIONS IN TOPOLOGICAL FIELD THEORY

1991 ◽  
Vol 06 (20) ◽  
pp. 3571-3598 ◽  
Author(s):  
NOUREDDINE CHAIR ◽  
CHUAN-JIE ZHU
Keyword(s):  
Field Theory ◽  
Topological Field Theory ◽  
Fundamental Representation ◽  
Conformal Blocks ◽  
Conformal Field ◽  
Witten Theory ◽  
Topological Field ◽  
General Program ◽  
The One ◽  
Chern Simons

Some tetrahedra in SUk(2) Chern-Simons-Witten theory are computed. The results can be used to compute an arbitrary tetrahedron inductively by fusing with the fundamental representation. The results obtained are in agreement with those of quantum groups. By associating a (finite) topological field theory (FTFT) to every rational conformal field theory (RCFT), we show that the pentagon and hexagon equations in RCFT follow directly from some skein relations in FTFT. By generalizing the operation of surgery on links in FTFT, we also derive an explicit expression for the modular transformation matrix S(k) of the one-point conformal blocks on a torus in RCFT and the equations satisfied by S(k), in agreement with those required in RCFT. The implication of our results on the general program of classifying RCFT is also discussed.

scholarly journals Non-commutative geometry and symplectic field theory

2007 ◽  
Vol 361 (6) ◽  
pp. 464-471 ◽  
Author(s):  
R.G.G. Amorim ◽  
M.C.B. Fernandes ◽  
F.C. Khanna ◽  
A.E. Santana ◽  
J.D.M. Vianna
Keyword(s):  
Field Theory ◽  
Symplectic Field Theory

scholarly journals Introduction to Symplectic Field Theory

2000 ◽  
pp. 560-673 ◽  
Author(s):  
Y. Eliashberg ◽  
A. Glvental ◽  
H. Hofer
Keyword(s):  
Field Theory ◽  
Symplectic Field Theory

scholarly journals Local contact homology and applications

2015 ◽  
Vol 07 (02) ◽  
pp. 167-238 ◽  
Author(s):  
Umberto L. Hryniewicz ◽  
Leonardo Macarini
Keyword(s):  
Field Theory ◽  
Periodic Orbit ◽  
Periodic Orbits ◽  
Local Version ◽  
Contact Homology ◽  
Local Contact ◽  
Symplectic Field Theory ◽  
Uniformly Bounded

We introduce a local version of contact homology for an isolated periodic orbit of the Reeb flow and prove that its rank is uniformly bounded for isolated iterations. Several applications are obtained, including a generalization of Gromoll–Meyer's theorem on the existence of infinitely many simple periodic orbits, resonance relations and conditions for the existence of non-hyperbolic periodic orbits. Most of the results of this paper remain conjectural until the foundational issues of Symplectic Field Theory are resolved.

FOUR-DIMENSIONAL TWO-BRANE SOLUTION IN CHIRAL GAUGED WESS-ZUMINO-WITTEN MODEL

1992 ◽  
Vol 07 (32) ◽  
pp. 2999-3006 ◽  
Author(s):  
SWAPNA MAHAPATRA
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Target Space ◽  
Curvature Singularity ◽  
One Dimensional ◽  
Conformal Field ◽  
Witten Theory ◽  
Brane Solution ◽  
The One ◽  
String Propagation

An exact conformal field theory describing a four-dimensional two-brane solution is found by considering a chiral gauged Wess-Zumino-Witten theory corresponding to SL (2, R)× R, where one gauges the one-dimensional U(1) subgroup together with a translation in R. The backgrounds for string propagation are explicitly obtained and the target space is shown to have a true curvature singularity.

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