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Maxwell's boundary conditions (MBCs) were long known insufficient to determine the optical responses of spatially dispersive medium. Supplementing MBCs with additional boundary conditions (ABCs) has become a normal yet controversial…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Hai-Yao Deng , Egor A. Muljarov

We introduce a new numerical algorithm based on semidefinite programming to efficiently compute bounds on operator dimensions, central charges, and OPE coefficients in 4D conformal and N=1 superconformal field theories. Using our algorithm,…

High Energy Physics - Theory · Physics 2014-07-31 David Poland , David Simmons-Duffin , Alessandro Vichi

We consider the unoriented two-dimensional Abelian sandpile model on the half-plane with open and closed boundary conditions. We show that the operator effecting the change from closed to open, or from open to closed, is a boundary primary…

High Energy Physics - Theory · Physics 2015-06-26 Philippe Ruelle

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

An exact cubic open string field theory rolling tachyon solution was recently found by Kiermaier et. al. and Schnabl. This oscillatory solution has been argued to be related by a field redefinition to the simple exponential rolling tachyon…

High Energy Physics - Theory · Physics 2008-11-26 Niko Jokela , Matti Jarvinen , Esko Keski-Vakkuri , Jaydeep Majumder

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 propose a method to analytically solve the bootstrap equation for two point functions in boundary CFT. We consider the analytic structure of the correlator in Lorentzian signature and in particular the discontinuity of bulk and boundary…

High Energy Physics - Theory · Physics 2019-11-14 Agnese Bissi , Tobias Hansen , Alexander Söderberg

Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) in semi-infinite space-time. In non-relativistic limit ($x\rightarrow\epsilon x, t\rightarrow t, \epsilon\rightarrow 0$), boundary conformal algebra changes…

High Energy Physics - Theory · Physics 2015-06-04 M. R. Setare , V. Kamali

We investigate the structure of solutions of boundary value problems for a one-dimensional nonlinear system of pseudodifferential equations describing the dynamics (rolling) of p-adic open, closed, and open-closed strings for a scalar…

Mathematical Physics · Physics 2008-11-26 V. S. Vladimirov

Recently, using the assumption that the string theory effective action at the critical dimension is background independent, the classical on-shell effective action of the bosonic string theory at order $\alpha'$ in a spacetime manifold…

High Energy Physics - Theory · Physics 2022-01-19 Mohammad R. Garousi

An outstanding problem in open bosonic string field theory is the existence of nontrivial classical solutions in its universal sector. Such solutions independent of the underlying CFT would be relevant for any background, but aside of the…

High Energy Physics - Theory · Physics 2018-12-11 Matej Kudrna , Martin Schnabl

The boundary conditions of the bosonic string theory in non-zero $B$-field background are equivalent to the second class constraints of a discretized version of the theory. By projecting the original canonical coordinates onto the…

High Energy Physics - Theory · Physics 2015-06-25 M. A. De Andrade , M. A. Santos , I. V. Vancea

The question of boundary conditions in conformal field theories is discussed, in the light of recent progress. Two kinds of boundary conditions are examined, along open boundaries of the system, or along closed curves or ``seams''. Solving…

High Energy Physics - Theory · Physics 2017-08-23 V. B. Petkova , J. -B. Zuber

A recent proposal for a background independent open string field theory is studied in detail for a class of backgrounds that correspond to general quadratic boundary interactions on the world-sheet. A short-distance cut-off is introduced to…

High Energy Physics - Theory · Physics 2010-04-07 Keke Li , Edward Witten

We compute the one-loop partition function for quadratic tachyon background in open string theory. Both closed and open string representations are developed. Using these representations we study the one-loop divergences in the partition…

High Energy Physics - Theory · Physics 2007-05-23 K. Bardakci , A. Konechny

Quadratic tachyon profile has been discussed in the boundary string field theory. We here compute the g-function by factorizing the cylinder amplitude. The answer is compared with the disc partition function. The boundary state is…

High Energy Physics - Theory · Physics 2007-05-23 A. Fujii , H. Itoyama

We investigate a non-perturbative vacuum in open string field theory expanded around the analytic classical solution which has been found in the universal Fock space generated by matter Virasoro generators and ghost oscillators. We carry…

High Energy Physics - Theory · Physics 2010-04-05 Tomohiko Takahashi

We analyze deformations of two-dimensional conformal field theory (CFT) from the perspective of classical bosonic closed string field theory (SFT). The latter can be viewed as a version of Wilsonian renormalization group (RG) improved…

High Energy Physics - Theory · Physics 2024-05-21 Ben Mazel , Joshua Sandor , Charles Wang , Xi Yin

I show that under certain conditions it is possible to define consistent irrelevant deformations of interacting conformal field theories. The deformations are finite or have a unique running scale ("quasi-finite"). They are made of an…

High Energy Physics - Theory · Physics 2009-11-10 Damiano Anselmi

In the AdS/CFT correspondence we consider correlation functions of gauge-invariant operators on the gauge theory side, which we obtain in the low-energy limit of the open string sector. To investigate this low-energy limit we consider the…

High Energy Physics - Theory · Physics 2020-07-01 Daiki Koyama , Yuji Okawa , Nanami Suzuki