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We investigate $O(N)$ boundary conformal field theories (BCFTs) with boundary interactions in $d=4-\epsilon$ and $d=3-\epsilon$ employing the analytic bootstrap. By deriving universal constraints on conformal data, we show that infinitely…

High Energy Physics - Theory · Physics 2026-05-29 Xinyu Sun , Shao-Kai Jian , Hong Yao

We study conformal field theories (CFTs) on curved spaces including both orientable and unorientable manifolds possibly with boundaries. We first review conformal transformations on curved manifolds. We then compute the identity components…

High Energy Physics - Theory · Physics 2023-02-24 Ken Kikuchi

We review the effective field theory (EFT) bootstrap by formulating it as an infinite-dimensional semidefinite program (SDP), built from the crossing symmetric sum rules and the S-matrix primal ansatz. We apply the program to study the…

High Energy Physics - Theory · Physics 2024-09-17 Yue-Zhou Li

The interest in string Hamiltonian system has recently been rekindled due to its application to target-space duality. In this article, we explore another direction it motivates. In Sec.\ 1, conformal symmetry and some algebraic structures…

High Energy Physics - Theory · Physics 2007-05-23 Chien-Hao Liu

The correlators of free four dimensional conformal field theories (CFT4) have been shown to be given by amplitudes in two-dimensional $so(4,2)$ equivariant topological field theories (TFT2), by using a vertex operator formalism for the…

High Energy Physics - Theory · Physics 2020-08-13 Robert de Mello Koch , Sanjaye Ramgoolam

These lecture notes present an elementary introduction to light-cone string field theory, with an emphasis on its application to the study of string interactions in the plane wave limit of AdS/CFT. We summarize recent results and conclude…

High Energy Physics - Theory · Physics 2007-05-23 Marcus Spradlin , Anastasia Volovich

This model also known as chiral null model is a generalization of the gravitational wave and fundamental string background and is exact in the $\a'$ expansion. The reduction to 4 dimensions yields a stationary IWP solution which couples to…

High Energy Physics - Theory · Physics 2015-06-26 K. Behrndt

We examine two-dimensional conformal field theories (CFTs) at central charge c=0. These arise typically in the description of critical systems with quenched disorder, but also in other contexts including dilute self-avoiding polymers and…

High Energy Physics - Theory · Physics 2016-11-23 V. Gurarie , A. W. W. Ludwig

We study O(n)-symmetric two-dimensional conformal field theories (CFTs) for a continuous range of n below two. These CFTs describe the fixed point behavior of self-avoiding loops. There is a pair of known fixed points connected by an RG…

High Energy Physics - Theory · Physics 2021-12-16 Victor Gorbenko , Bernardo Zan

We build a four-dimensional quaternion-parametrized conformal field theory (QCFT) using quaternion holomorphic functions as the generators of quaternionic conformal transformations. Taking the two-dimensional complex-parametrized conformal…

High Energy Physics - Theory · Physics 2018-04-03 Sergio Giardino

We propose a novel approach to study conformal field theories (CFTs) in general dimensions. In the conformal bootstrap program, one usually searches for consistent CFT data that satisfy crossing symmetry. In the new approach, we reverse the…

High Energy Physics - Theory · Physics 2018-01-19 Wenliang Li

All unitary Rational Conformal Field Theories (RCFT) are conjectured to be related to unitary coset Conformal Field Theories, i.e., gauged Wess-Zumino-Witten (WZW) models with compact gauge groups. In this paper we use subfactor theory and…

Operator Algebras · Mathematics 2009-10-31 Feng Xu

Starting with exact solutions to string theory on curved spacetimes we obtain deformations that represent gravitational shock waves. These may exist in the presence or absence of sources. Sources are effectively induced by a tachyon field…

High Energy Physics - Theory · Physics 2016-08-24 Konstadinos Sfetsos

We show how the Szekeres form of the line element is naturally adapted to study Penrose limits in classical string backgrounds. Relating the "old" colliding wave problem to the Penrose limiting procedure as employed in string theory we…

High Energy Physics - Theory · Physics 2009-11-07 Alexander Feinstein

We study light-cone gauge string field theory in noncritical space-time dimensions. Such a theory corresponds to a string theory in a Lorentz noninvariant background. We identify the worldsheet theory for the longitudinal coordinate…

High Energy Physics - Theory · Physics 2009-12-15 Yutaka Baba , Nobuyuki Ishibashi , Koichi Murakami

Toroidal backgrounds for bosonic strings are used to understand target space duality as a symmetry of string field theory and to study explicitly issues in background independence. Our starting point is the notion that the string field…

High Energy Physics - Theory · Physics 2010-11-01 Taichiro Kugo , Barton Zwiebach

We explicitly construct soliton operators in $D<2$ (or $c<1$) string theory, and show that the Schwinger-Dyson equations allow solutions with these solitons as backgrounds. The dominant contributions from 1-soliton background are explicitly…

High Energy Physics - Theory · Physics 2009-10-30 Masafumi Fukuma , Shigeaki Yahikozawa

We develop a new background independent Moyal star formalism in bosonic open string field theory. The new star product is formulated in a half-phase-space, and because phase space is independent of any background fields, the interactions…

High Energy Physics - Theory · Physics 2014-07-22 Itzhak Bars , Dmitry Rychkov

We use the level truncation scheme to obtain accurate descriptions of open bosonic string field configurations corresponding to large marginal deformations such as background Wilson lines. To do so, we solve for all fields as functions of…

High Energy Physics - Theory · Physics 2009-10-31 Ashoke Sen , Barton Zwiebach

A general framework for applying the pp-wave approximation to holographic calculations in the AdS/CFT correspondence is proposed. By assuming the existence and some properties of string field theory (SFT) on $AdS_5 \times S^5$ background,…

High Energy Physics - Theory · Physics 2008-11-26 Hidehiko Shimada