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A field theoretic formulation of the Marinari-Parisi supersymmetric matrix model is established and shown to be equivalent to a recently proposed supersymmetrization of the bosonic collective string field theory. It also corresponds to a…

High Energy Physics - Theory · Physics 2007-05-23 J. P. Rodrigues , A. J. van Tonder

In resonance to a recent geometric framework proposed by Douglas and Yang, a functional model for certain linear bounded operators with rank-one self-commutator acting on a Hilbert space is developed. By taking advantage of the refined…

Functional Analysis · Mathematics 2018-10-31 Björn Gustafsson , Mihai Putinar

Supersymmetric nonlinear sigma models are obtained from linear sigma models by imposing supersymmetric constraints. If we introduce auxiliary chiral and vector superfields, these constraints can be expressed by D-terms and F-terms depending…

High Energy Physics - Theory · Physics 2009-10-31 Kiyoshi Higashijima , Muneto Nitta

We construct analytic solutions of open superstring field theory for any exactly marginal deformation in any boundary superconformal field theory when properly renormalized operator products of the marginal operator are given. Our…

High Energy Physics - Theory · Physics 2009-11-18 Michael Kiermaier , Yuji Okawa

We consider the possibility that the unification of the electroweak interactions and the strong force arises from string theory, at energies significantly lower than the string scale. As a tool, an effective grand unified field theory in…

High Energy Physics - Theory · Physics 2010-02-04 Jonas Schmidt

We extend the notion of representation of a matroid to algebraic structures that we call skew partial fields. Our definition of such representations extends Tutte's definition, using chain groups. We show how such representations behave…

Combinatorics · Mathematics 2012-12-12 R. A. Pendavingh , S. H. M. van Zwam

We discuss the group theory relevant to the ground-state baryons in large N_c QCD. For very large representation, the group generators become classical variables. We find the form of the classical generators for the completely symmetric N…

High Energy Physics - Phenomenology · Physics 2016-09-06 Hael Collins , Howard Georgi

The leading terms in the long-range interaction potential between an arbitrary pair of matrix theory objects are calculated at one-loop order. This result generalizes previous calculations by including arbitrary fermionic background field…

High Energy Physics - Theory · Physics 2010-02-03 Washington Taylor , Mark Van Raamsdonk

We embed the large N Chern-Simons/topological string duality in ordinary superstrings. This corresponds to a large $N$ duality between generalized gauge systems with N=1 supersymmetry in 4 dimensions and superstrings propagating on…

High Energy Physics - Theory · Physics 2015-06-25 Cumrun Vafa

We present a toy model which has the following properties: i) it is strongly coupled at a certain scale and breaks supersymmetry at this scale; ii) matter superfields of (one generation of) the Standard Model are effective low energy…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. L. Dubovsky , D. S. Gorbunov , S. V. Troitsky

We consider the two-matrix model with potentials whose derivative are arbitrary rational function of fixed pole structure and the support of the spectra of the matrices are union of intervals (hard-edges). We derive an explicit formula for…

High Energy Physics - Theory · Physics 2009-11-11 M. Bertola

Cartan geometry provides a unifying algebraic construction of curvature and torsion, based on an underlying model Lie algebra -- a viewpoint that can be extended naturally to the higher algebraic structures underlying supergravity. We…

High Energy Physics - Theory · Physics 2025-09-08 Falk Hassler , David Osten , Alex Swash

Recently it was shown that an asymptotic behaviour of $SU(N)$ gauge theory for large $N$ is described by q-deformed quantum field. The master fields for large N theories satisfy to standard equations of relativistic field theory but fields…

High Energy Physics - Theory · Physics 2016-11-03 I. Ya. Aref'eva

Feynman diagrams are the foremost tool in the perturbative study of quantum field theory. In gauge theories, the full potential of this tool is revealed when it is combined with the Slavanov-Taylor identities associated with the local gauge…

High Energy Physics - Theory · Physics 2025-12-16 Roji Pius

Using generalized Konishi anomaly equations, it is known that one can express, in a large class of supersymmetric gauge theories, all the chiral operators expectation values in terms of a finite number of a priori arbitrary constants. We…

High Energy Physics - Theory · Physics 2009-11-11 Frank Ferrari

We initiate a systematic investigation of the space of 2+1 dimensional quiver gauge theories, emphasising a succinct "forward algorithm". Few "order parametres" are introduced such as the number of terms in the superpotential and the number…

High Energy Physics - Theory · Physics 2008-12-22 Amihay Hanany , Yang-Hui He

We analyze perturbative aspects of gauged matrix models, including those where classically the gauge symmetry is partially broken. Ghost fields play a crucial role in the Feynman rules for these vacua. We use this formalism to elucidate the…

High Energy Physics - Theory · Physics 2009-11-07 Robbert Dijkgraaf , Sergei Gukov , Vladimir A. Kazakov , Cumrun Vafa

In this work, we study a class of higher derivative couplings in the string effective action arising at the junction of topological string theory and supersymmetric gauge theories in the $\Omega$-background. They generalise a series of…

High Energy Physics - Theory · Physics 2014-04-25 Ahmad Zein Assi

We develop tools for determining the gauge theory resulting from a configuration of Type IIB D3-branes probing a non-compact, toric Calabi-Yau 3-fold, in the presence of additional flavor D7-branes with general embeddings. Two main…

High Energy Physics - Theory · Physics 2015-06-16 Sebastian Franco , Angel Uranga

We discuss basic features and new developments in recently proposed induced gauge theory solvable in any number of dimensions in the limit of infinite number of colours. Its geometrical (string) picture is clarified, using planar graph…

High Energy Physics - Theory · Physics 2009-10-22 V. A. Kazakov