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We introduce a class of algebras over a field $\mathbb{F}$ related to directed graphs in which all edges are labeled by nonzero elements of the field $\mathbb{F}$. If all labels are different from $1$, these algebras are axial algebras. We…

Commutative Algebra · Mathematics 2026-03-05 Hans Cuypers

The non-commutative geometry is revisited from the perspective of a generalized D p-brane. In particular, we analyze the open bosonic string world-sheet description and show that an effective non-commutative description on a D p-brane…

High Energy Physics - Theory · Physics 2009-10-31 Supriya Kar

We discuss the field theory limit of Dp-branes. In this limit, the black Dp-brane solution approaches a solution which is conformal to adS_{p+2} \times S^{8-p}. We argue that the frame in which the conformal factor is equal to one, the dual…

High Energy Physics - Theory · Physics 2017-04-26 Kostas Skenderis

We study in detail the extension of the generalized conformal symmetry proposed previously for D-particles to the case of supersymmetric Yang-Mills matrix models of Dp-branes for arbitrary p. It is demonstrated that such a symmetry indeed…

High Energy Physics - Theory · Physics 2011-05-05 Antal Jevicki , Yoichi Kazama , Tamiaki Yoneya

Noncommutativity in an open bosonic string moving in the presence of a background Neveu-Schwarz two-form field $B_{\mu \nu}$ is investigated in a conformal field theory approach, leading to noncommutativity at the boundaries. In contrast to…

High Energy Physics - Theory · Physics 2008-11-26 Biswajit Chakraborty , Sunandan Gangopadhyay , Arindam Ghosh Hazra

We study both A-type and B-type D-branes in the gauged linear sigma model by considering worldsheets with boundary. The boundary conditions on the matter and vector multiplet fields are first considered in the large-volume phase/non-linear…

High Energy Physics - Theory · Physics 2009-10-31 Suresh Govindarajan , T. Jayaraman , Tapobrata Sarkar

In the Randall-Sundrum scenario we analize the dynamics of a spherically symmetric 3-brane when matter fields propagate in the bulk. For a well defined class of conformal fields of weight -4 we determine a new set of exact 5-dimensional…

High Energy Physics - Theory · Physics 2017-08-23 Rui Neves

The $sl(2)$ minimal theories are labelled by a Lie algebra pair $(A,G)$ where $G$ is of $A$-$D$-$E$ type. For these theories on a cylinder we conjecture a complete set of conformal boundary conditions labelled by the nodes of the tensor…

High Energy Physics - Theory · Physics 2009-10-31 Roger E. Behrend , Paul A. Pearce , Jean-Bernard Zuber

We study some of the novel properties of conformal field theories with noncompact target spaces as applied to string theory. Standard CFT results get corrected by boundary terms in the target space in a way consistent with the expected…

High Energy Physics - Theory · Physics 2009-11-07 Per Kraus , Anton Ryzhov , Masaki Shigemori

We consider a spacetime formed by several pieces having common timelike boundary which plays the role of a junction between them. We establish junction conditions for fields of various spin and derive the resulting laws of wave propagation…

High Energy Physics - Theory · Physics 2009-10-31 P. I. Fomin , Yu. V. Shtanov

Fluxbrane-like backgrounds obtained from flat space by a sequence of T-dualities and shifts of polar coordinates (beta deformations) provide an interesting class of exactly solvable string theories. We compute the one-loop partition…

High Energy Physics - Theory · Physics 2009-11-11 Marcus Spradlin , Tadashi Takayanagi , Anastasia Volovich

We present three Lagrangian algebras in the modular 2-category associated to the 3+1D $\mathbb{Z}_2$ topological order and discuss their physical interpretations, connecting algebras with gapped boundary conditions, and interestingly, maps…

Strongly Correlated Electrons · Physics 2023-11-17 Jiaheng Zhao , Jia-Qi Lou , Zhi-Hao Zhang , Ling-Yan Hung , Liang Kong , Yin Tian

Building on earlier work, we construct linear sigma models for strings on curved spaces in the presence of branes. Our models include an extremely general class of brane-worldvolume gauge field configurations. We explain in an accessible…

High Energy Physics - Theory · Physics 2010-02-03 Simeon Hellerman , John McGreevy

In a tachyon model proposed by Minahan and Zwiebach and derived in the boundary string field theory, we construct various new solutions which correspond to nontrivial brane configurations in string theory. Our solutions include Dp-D(p-2)…

High Energy Physics - Theory · Physics 2010-02-03 Koji Hashimoto , Shinji Hirano

We analyze certain brane bound states in M-theory and their descendants in type IIA string theory, all involving 3-form or 2-form background fluxes. Among them are configurations which represent NCYM, NCOS and ODp-theories in the scaling…

High Energy Physics - Theory · Physics 2016-10-26 Boris Kors , Dieter Lust , Andre Miemiec

Boundary conditions play an important role in the ADHMN construction of BPS monopole solutions. In this paper we show how different types of boundary conditions can be related to each other by removing monopoles to spatial infinity. In…

High Energy Physics - Theory · Physics 2009-11-07 Xingang Chen , Erick J. Weinberg

We construct analytic solutions of open bosonic string field theory for any exactly marginal deformation in any boundary conformal field theory when properly renormalized operator products of the marginal operator are given. We explicitly…

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

Besides the familiar D-branes, string theory contains a vast number of other non-perturbative objects. While a complete classification is lacking, many of these objects are related to each other through various dualities. Codimension two…

High Energy Physics - Theory · Physics 2013-10-30 Jan de Boer , Masaki Shigemori

Higher order conformal perturbation theory is studied for theories with and without boundaries. We identify systematically the universal quantities in the beta function equations, and we give explicit formulae for the universal coefficients…

High Energy Physics - Theory · Physics 2009-02-27 Matthias R. Gaberdiel , Anatoly Konechny , Cornelius Schmidt-Colinet

We show how to translate boundary conditions into constraints in the symplectic quantization method by an appropriate choice of generalized variables. This way the symplectic quantization of an open string attached to a brane in the…

High Energy Physics - Theory · Physics 2008-11-26 Nelson R. F. Braga , Cresus F. L. Godinho
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