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We implement a proper-time UV regularisation of the Nambu-Goto string, introducing an independent metric tensor and the corresponding Lagrange multiplier, and treating them in the mean-field approximation justified for long strings and/or…

High Energy Physics - Theory · Physics 2016-03-30 Jan Ambjorn , Yuri Makeenko

We investigate analytic classical solutions in open string field theory which are constructed in terms of marginal operators. In the classical background, we evaluate a coupling between an on-shell closed string state and the open string…

High Energy Physics - Theory · Physics 2008-11-26 F. Katsumata , T. Takahashi , S. Zeze

We explain how the spacetime diffeomorphism in the classical bosonic closed string field theory (SFT) is represented as $L_\infty$ gauge transformations in weakly curved backgrounds. In particular, we demonstrate the explicit map between…

High Energy Physics - Theory · Physics 2025-04-17 Ben Mazel , Charles Wang , Xi Yin

We construct analytic solutions of open superstring field theory in the Berkovits formulation using boundary condition changing operators under some regularity conditions, extending the previous construction in the bosonic string. We also…

High Energy Physics - Theory · Physics 2012-06-13 Toshifumi Noumi , Yuji Okawa

We show that the world-volume theory on a D-p-brane at the tachyonic vacuum has solitonic string solutions whose dynamics is governed by the Nambu-Goto action of a string moving in (25+1) dimensional space-time. This provides strong…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

We solve the Cauchy problem for the relativistic closed string in Minkowski space $M^{3+1}$, including the cases where the initial data has a knot like topology. We give the general conditions for the world sheet of a closed knotted string…

High Energy Physics - Theory · Physics 2009-10-30 Rui Dilao , Ricardo Schiappa

The open string on the plane-wave limit of $dS_n\times S^n $ with constant $B_2$ and dilaton background fields is canonically quantized. This entails solving the classical equations of motion for the string, computing the symplectic form,…

High Energy Physics - Theory · Physics 2008-11-26 G. Horcajada , F. Ruiz Ruiz

The mean-square width of the energy profile of bosonic string is calculated considering two boundary terms in the effective action. The perturbative expansion of the Lorentz-invariant boundary terms at the second and the fourth order in the…

High Energy Physics - Theory · Physics 2023-03-22 A. S. Bakry , M. A. Deliyergiyev , A. A. Galal , M. N. Khalil

We show that the Nambu-Goto string, and its higher dimensional generalizations, can be quantized, in the sense of an effective theory, in any dimension of the target space. The crucial point is to consider expansions around classical string…

Mathematical Physics · Physics 2014-04-16 Dorothea Bahns , Katarzyna Rejzner , Jochen Zahn

It is well-known that principal chiral models and symmetric space models in two-dimensional Minkowski space have an infinite-dimensional algebra of hidden symmetries. Because of the relevance of symmetric space models to duality symmetries…

High Energy Physics - Theory · Physics 2009-10-28 John H. Schwarz

I propose a generalization of the Liouville action which corresponds to the Nambu-Goto string like the usual Liouville action corresponds to the Polyakov string. The two differ by higher-derivative terms which are negligible classically but…

High Energy Physics - Theory · Physics 2024-10-04 Yuri Makeenko

A new model of bosonic strings is considered. An action of the model is the sum of the standard string action and a term describing an interaction of a metric with a linear (affine) connection. The Lagrangian of this interaction is an…

High Energy Physics - Theory · Physics 2019-06-05 I. V. Volovich

We examine and implement the concept of non-additive composition laws in the quantum theory of closed bosonic strings moving in (3+1)-dimensional Minkowski space. Such laws supply exact selection rules for the merging and splitting of…

High Energy Physics - Theory · Physics 2009-11-07 K. Pohlmeyer , M. Trunk

Classical relativistic system of point particles coupled with an electromagnetic field is considered in the three-dimensional representation. The gauge freedom connected with the chronometrical invariance of the four-dimensional description…

High Energy Physics - Theory · Physics 2007-05-23 V. Tretyak , A. Nazarenko

We construct a class of classical solutions in the Berkovits' open superstring field theory. The resulting solutions correspond to marginal boundary deformations in conformal field theory. The vacuum energy vanishes exactly for the…

High Energy Physics - Theory · Physics 2009-11-11 Isao Kishimoto , Tomohiko Takahashi

We show that relativistic strings of open and closed types in Minkowski space-time of dimension 3 and 4 have topologically stable singular points. This paper describes the structure of singularities, derives their normal forms, and…

High Energy Physics - Theory · Physics 2007-05-23 Stanislav Klimenko , Igor Nikitin , Lialia Nikitina

We describe a necessary condition for the local solvability of the strong inverse variational problem in the context of Monge-Amp\`ere partial differential equations and first-order Lagrangians. This condition is based on comparing…

Mathematical Physics · Physics 2023-05-05 Radek Suchánek

I briefly review the present status of bosonic strings and discretized random surfaces in D>1 which seem to be in a polymer rather than stringy phase. As an explicit example of what happens, I consider the Kazakov-Migdal model with a…

High Energy Physics - Theory · Physics 2009-10-28 Y. Makeenko

The Mathisson-Papapetrou method is originally used for derivation of the particle world line equation from the covariant conservation of its stress-energy tensor. We generalize this method to extended objects, such as a string. Without…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Milovan Vasilic , Marko Vojinovic

We investigate general observables of the complex Liouville string with worldsheet boundaries. We develop a universal formalism that reduces such observables to ordinary closed string amplitudes without boundaries, applicable to any…

High Energy Physics - Theory · Physics 2025-08-13 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez