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Amplitudes in open topological string theory may be described completely by certain A-infinity-categories. We detail a general construction of all cyclic minimal models for a given A-infinity-algebra and apply this result to the case of N=2…

High Energy Physics - Theory · Physics 2009-07-22 Nils Carqueville

A simple recursive expansion algorithm for the integrals of tree level superstring five point amplitudes in a flat background is given which reduces the expansion to simple symbol(ic) manipulations. This approach can be used for instance to…

High Energy Physics - Theory · Physics 2015-06-15 Rutger H. Boels

Nonperturbative effects in c<1 noncritical string theory are studied using the two-matrix model. Such effects are known to have the form fixed by the string equations but the numerical coefficients have not been known so far. Using the…

High Energy Physics - Theory · Physics 2009-11-11 Nobuyuki Ishibashi , Tsunehide Kuroki , Atsushi Yamaguchi

We discuss the continuum field theory limit of the physical scenario described in Ref. [1], the universe arising from the interpretation of the most general collection of logical codes in terms of distributions of units of energy along…

General Physics · Physics 2012-06-18 Andrea Gregori

Conventional superstring perturbation theory based on the world-sheet approach gives divergent results for the S-matrix whenever the total center of mass energy of the incoming particles exceeds the threshold of production of any final…

High Energy Physics - Theory · Physics 2017-04-26 Ashoke Sen

Paper contains description of the fields nonlinear modes successive quantization scheme. It is shown that the path integrals for absorption part of amplitudes are defined on the Dirac ($\d$-like) functional measure. This permits arbitrary…

High Energy Physics - Theory · Physics 2009-11-07 J. Manjavidze

We provide a systematic formula, in terms of integer partitions, that generates perturbation theory explicitly at an arbitrary order. Our approach naturally includes an infinite number of perturbations and uses a single matrix equation that…

Strongly Correlated Electrons · Physics 2026-03-20 Joseph M. Jones , M. W. Long

String theory implies a relatively modest growth in computational complexity for perturbative gravity calculations as compared to gauge theory calculations, contrary to field theory expectations. An explicit string-based calculation, which…

High Energy Physics - Theory · Physics 2011-09-29 Z. Bern , D. C. Dunbar , T. Shimada

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

The paper is devoted to a description of quantum group structures in the geometric quantization of a self-interacting string field, which appear under a transition from a tree-level of the theory to the account of loop effects in…

q-alg · Mathematics 2008-02-03 Denis V. Juriev

One of the perspectives in modern quantum field and string theory is related with the attempts to go beyond the perturbation theory. It turns out that a key principle in the formulation of all known non-perturbative results is {\it…

High Energy Physics - Theory · Physics 2007-05-23 A. Marshakov

We present a new method, exact in $\alpha'$, to explicitly compute string tree-level amplitudes involving one massive state and any number of massless ones. This construction relies on the so-called twisted heterotic string, which admits…

High Energy Physics - Theory · Physics 2021-08-04 Max Guillen , Henrik Johansson , Renann Lipinski Jusinskas , Oliver Schlotterer

In rigidly supersymmetric quantum theories, the Nicolai map allows one to turn on a coupling constant (from zero to a finite value) by keeping the (free) functional integration measure but subjecting the fields to a particular nonlocal and…

High Energy Physics - Theory · Physics 2022-10-19 Olaf Lechtenfeld

The known Lorentz invariant string field theory for open N=2 strings is combined with a generalization of the twistor description of anti-self-dual (super) Yang-Mills theories. We introduce a Chern-Simons-type Lagrangian containing twistor…

High Energy Physics - Theory · Physics 2009-11-10 Olaf Lechtenfeld , Alexander D. Popov

After a short introduction to Matrix theory, we explain how can one generalize matrix models to describe toroidal compactifications of M-theory and the heterotic vacua with 16 supercharges. This allows us, for the first time in history, to…

High Energy Physics - Theory · Physics 2007-05-23 Lubos Motl

In various contexts in mathematical physics one needs to compute the logarithm of a positive unbounded operator. Examples include the von Neumann entropy of a density matrix and the flow of operators with the modular Hamiltonian in the…

High Energy Physics - Theory · Physics 2023-11-27 Nima Lashkari , Hong Liu , Srivatsan Rajagopal

We construct a covariant open bosonic string field theory on multiple D-branes, which reduces to a non-Abelian group Yang-Mills gauge theory in the zero-slope limit. Making use of the first quantized open bosonic string in the proper time…

High Energy Physics - Theory · Physics 2018-01-17 Taejin Lee

The difficulties of perturbation theory associated with unstable fundamental fields (such as the lack of exact gauge invariance in each order) are cured if one constructs perturbative expansion directly for probabilities interpreted as…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fyodor V. Tkachov

Beginning with a review of the arguments leading to the so-called c=1 barrier in the continuum formulation of noncritical string theory, the pathology is then exhibited in a discretized version of the theory, formulated through dynamical…

High Energy Physics - Theory · Physics 2007-05-23 Parthasarathi Majumdar

An accurate description of nuclear matter starting from free-space nuclear forces has been an elusive goal. The complexity of the system makes approximations inevitable, so the challenge is to find a consistent truncation scheme with…

Nuclear Theory · Physics 2009-10-31 R. J. Furnstahl , James V. Steele , Negussie Tirfessa
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