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The Kaluza-Klein reduction of the 3d gravitational Chern-Simons term to a 2d theory is equivalent to a Poisson-sigma model with fourdimensional target space and degenerate Poisson tensor of rank 2. Thus two constants of motion (Casimir…

High Energy Physics - Theory · Physics 2009-11-10 D. Grumiller , W. Kummer

It was recently shown by Witten that B-type open topological string theory with the supertwistor space CP^{3|4} as a target space is equivalent to holomorphic Chern-Simons (hCS) theory on the same space. This hCS theory in turn is…

High Energy Physics - Theory · Physics 2007-05-23 Alexander D. Popov , Christian Saemann

Noncompact groups, similar to those that appeared in various supergravity theories in the 1970's, have been turning up in recent studies of string theory. First it was discovered that moduli spaces of toroidal compactification are given by…

High Energy Physics - Theory · Physics 2010-11-01 Jnan Maharana , John H. Schwarz

We consider some questions of naturalness which arise when one considers conventional field theories in the presence of gravitation: the problem of global symmetries, the strong CP problem, and the cosmological constant problem. Using…

High Energy Physics - Theory · Physics 2008-02-03 Michael Dine

Topological models involving matter couplings to Donaldson-Witten theory are presented. The construction is carried using both, the topological algebra and its central extension, which arise from the twisting of $N=2$ supersymmetry in four…

High Energy Physics - Theory · Physics 2009-10-28 M. Alvarez , J. M. F. Labastida

It is generally accepted that the double-scaled 1D matrix model is equivalent to the $c=1$ string theory with tachyon condensation. There remain however puzzles that are to be clarified in order to utilize this connection for our quest…

High Energy Physics - Theory · Physics 2007-05-23 Tamiaki Yoneya

The recent developments in string theory suggest that the space-time coordinates should be generalized to non-commuting matrices. Postulating this suggestion as the fundamental geometrical principle, we formulate a candidate for covariant…

High Energy Physics - Theory · Physics 2009-10-30 Christiaan Hofman , Jae-Suk Park

In this work we consider a model for gravity in 4-dimensional space-time originally proposed by A. Chamseddine which may be derived by a 5-dimensional Chern-Simons theory. Its topological origin makes it an interesting candidate for an…

General Relativity and Quantum Cosmology · Physics 2018-03-06 Bruno Neves

Intersecting D-brane models and their T-dual magnetic compactifications yield attractive models of particle physics where magnetic flux plays a twofold role, being the source of fermion chirality as well as supersymmetry breaking. A…

High Energy Physics - Theory · Physics 2020-02-11 Wilfried Buchmuller , Emilian Dudas , Yoshiyuki Tatsuta

In six dimensions there exists a unique one-parameter family of non-linear conformal electrodynamics for a chiral 2-form gauge field which includes (in a free-field limit) the linear chiral 2-form theory and is related, by dimensional…

High Energy Physics - Theory · Physics 2024-11-20 Nihat Sadik Deger , Ángel J. Murcia , Dmitri P. Sorokin

A wide class of three-dimensional gravity models can be put into "Chern-Simons-like" form. We perform a Hamiltonian analysis of the general model and then specialise to Einstein-Cartan Gravity, General Massive Gravity, the recently proposed…

High Energy Physics - Theory · Physics 2014-12-15 Eric A. Bergshoeff , Olaf Hohm , Wout Merbis , Alasdair J. Routh , Paul K. Townsend

We construct the string field Hamiltonian for $c=1-\frac{6}{m(m+1)}$ string theory in the temporal gauge. In order to do so, we first examine the Schwinger-Dyson equations of the matrix chain models and propose the continuum version of…

High Energy Physics - Theory · Physics 2009-10-28 M. Ikehara , N. Ishibashi , H. kawai , T. Mogami , R. Nakayama , N. Sasakura

In this note, we first explain the equivalence between the interaction Hamiltonian of Green-Schwarz light-cone gauge superstring field theory and the twist field formalism known from matrix string theory. We analyze the role of the large N…

High Energy Physics - Theory · Physics 2007-05-23 Robbert Dijkgraaf , Lubos Motl

These are notes of a series of lectures on mirror symmetry and topological string theory given at the Mathematical Sciences Center at Tsinghua University. The N=2 superconformal algebra, its deformations and its chiral ring are reviewed. A…

High Energy Physics - Theory · Physics 2012-07-04 Murad Alim

The 't Hooft expansion of SU(N) Chern-Simons theory on $S^3$ is proposed to be exactly dual to the topological closed string theory on the $S^2$ blow up of the conifold geometry. The $B$-field on the $S^2$ has magnitude $Ng_s=\lambda$, the…

High Energy Physics - Theory · Physics 2007-05-23 Rajesh Gopakumar , Cumrun Vafa

We introduce two-types of topologically twisted Chern-Simons-matter theories on the direct product of circle and genus-h Riemann surface (S^1 \times \Sigma_h). The partition functions of first model agrees with the partition functions of a…

High Energy Physics - Theory · Physics 2015-01-15 Satoshi Okuda , Yutaka Yoshida

We revisit the Holographic duality between $SU(N)_\kappa$ Chern-Simons theory and the A-model Topological String Theory. We develop a strategy to systematically compute the large $N$ saddles for correlation functions of Wilson lines in…

High Energy Physics - Theory · Physics 2025-12-01 Davide Gaiotto , Suriyah Rajalingam Kannagi , Sergio Sanjurjo

This paper gives a construction, using heat kernels, of differential forms on the moduli space of metrised ribbon graphs, or equivalently on the moduli space of Riemann surfaces with boundary. The construction depends on a manifold with a…

Quantum Algebra · Mathematics 2014-11-11 Kevin J. Costello

Dimensional reduction of generalized gravity theories or string theories generically yields dilaton fields in the lower-dimensional effective theory. Thus at the level of D=4 theories, and cosmology many models contain more than just one…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. Grumiller , D. Hofmann , W. Kummer

It has been argued by Ishikawa and Kato that by making use of a specific bosonization, $c_M=1$ string theory can be regarded as a constrained topological sigma model. We generalize their construction for any $(p,q)$ minimal model coupled to…

High Energy Physics - Theory · Physics 2011-07-19 Pablo M. Llatas , Shibaji Roy