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We introduce a common domain of definition for the loop product and the loop coproduct, reduced loop homology, on which they combine to a unital infinitesimal anti-symmetric bialgebra structure. In particular, a relation conjectured by…

辛几何 · 数学 2026-04-15 Kai Cieliebak , Alexandru Oancea

We show how OSp(1|32) gives a unifying framework to describe d=10 type II string theories, d=11 M-theory and d=12 F-theory. The theories are related by different identifications of their symmetry operators as generators of OSp(1|32). T- and…

高能物理 - 理论 · 物理学 2007-05-23 Eric Bergshoeff , Antoine Van Proeyen

We construct a hierarchy of supersymmetric string theories by showing that the general N-extended superstrings may be viewed as a special class of the (N+1)-extended superstrings. As a side result, we find a twisted (N+2) superconformal…

高能物理 - 理论 · 物理学 2009-10-28 Fiorenzo Bastianelli , Nobuyoshi Ohta , Jens Lyng Petersen

We describe a general formalism based on the partial-wave decomposition to compute the iterative $s$-channel discontinuity of four-point amplitudes at any loop order. As an application, we focus on the low-energy expansions of type I and II…

高能物理 - 理论 · 物理学 2024-11-25 Yu-tin Huang , Hynek Paul , Michele Santagata

We review recent developments on nonrelativistic string theory. In flat spacetime, the theory is defined by a two-dimensional relativistic quantum field theory with nonrelativistic global symmetries acting on the worldsheet fields. This…

高能物理 - 理论 · 物理学 2022-06-10 Gerben Oling , Ziqi Yan

We study the level-expansion structure of the NS string field theory actions, mainly focusing on the modified (i.e. 0-picture in the NS sector) cubic superstring field theory. This theory has a non-trivial structure already at the quadratic…

高能物理 - 理论 · 物理学 2007-05-23 Kazuki Ohmori

The bosonic sectors of the eleven dimensional and IIA supergravity theories are derived as non-linear realisations. The underlying group includes the conformal group, the general linear group and as well as automorphisms of the…

高能物理 - 理论 · 物理学 2010-04-06 P. West

Let Rep(F;K) denote the category of functors from finite dimensional F-vector spaces to K-modules, where F is a field and K is a commutative ring. We prove that, if F is a finite field, and Char F is invertible in K, then the K-linear…

表示论 · 数学 2014-05-08 Nicholas J. Kuhn

We analyse a class of quantum field theory models illustrating some of the possibilities that have emerged in the general study of the short distance properties of superselection sectors, performed in a previous paper (together with R.…

数学物理 · 物理学 2010-11-11 Claudio D'Antoni , Gerardo Morsella

This Ph.D. thesis investigates effective field and string theories in which supersymmetry is realized and broken in various ways. Chapter 1 addresses effective theories with nonlinearly realized supersymmetry, constructed using the…

高能物理 - 理论 · 物理学 2025-07-01 Gabriele Casagrande

The particle, string and membrane charge multiplets are derived in detail from the decomposition of the l1 (charge) representation of E(11) in three, four, five, six, seven and eight spacetime dimensions. A tension formula relating weights…

高能物理 - 理论 · 物理学 2010-02-03 P. P. Cook , P. West

We give a construction for a general class of vertices in superstring field theory which include integration over bosonic moduli as well as the required picture changing insertions. We apply this procedure to find a covariant action for the…

高能物理 - 理论 · 物理学 2015-06-19 Theodore Erler , Sebastian Konopka , Ivo Sachs

In this paper we study the midpoint structure of the algebra of open strings from the standpoint of the operator/Moyal formalism. We construct a split string description for the continuous Moyal product of hep-th/0202087, study the…

高能物理 - 理论 · 物理学 2008-11-26 Theodore G. Erler

The first quantum correction to the IIA string effective action arises at the eight-derivative level and takes the schematic form (t_8 t_8 - 1/8 \epsilon\epsilon)R^4 + B_2 \wedge X_8. This correction, however, cannot be complete by itself,…

高能物理 - 理论 · 物理学 2015-06-15 James T. Liu , Ruben Minasian

String theory on AdS3 backgrounds arises as an IR limit of Little String Theory on NS5-branes. A wide variety of holographic RG flows from the fivebrane theory in the UV to (orbifolds of) AdS3 in the IR is amenable to exact treatment in…

高能物理 - 理论 · 物理学 2020-06-09 Emil J. Martinec , Stefano Massai

Membrane/fivebrane duality in D=11 implies Type IIA string/Type IIA fivebrane duality in D=10, which in turn implies Type IIA string/heterotic string duality in D=6. To test the conjecture, we reproduce the corrections to the 3-form field…

高能物理 - 理论 · 物理学 2009-10-28 M. J. Duff , James T. Liu , R. Minasian

In this article we examine the Ruelle type spectral functions $\cR(s)$,which define an overall description of the content of the work. We investigate the Gopakumar-Vafa reformulation of the string partition functions, describe the N=2…

高能物理 - 理论 · 物理学 2020-01-29 L. Bonora , A. A. Bytsenko , M. Chaichian , A. E. Goncalves

Inspired by Lie algebra expansion, we consider an extension of the algebra introduced in arXiv:2203.07386 for the non-relativistic string coset action in AdS$_5\times$S$^5$. We show that the extended algebra admits a non-degenerate inner…

高能物理 - 理论 · 物理学 2022-12-21 Andrea Fontanella , Juan Miguel Nieto García

We consider compactifications of type II string theory in which a d-dimensional torus is fibered over a base X. In string theory, the transition functions of this fibration need not be simply diffeomorphisms of T^d but can involve elements…

高能物理 - 理论 · 物理学 2007-11-08 Aaron Bergman , Daniel Robbins

Although the equations of motion for the Neveu-Schwarz (NS) and Ramond (R) sectors of open superstring field theory can be covariantly expressed in terms of one NS and one R string field, picture-changing problems prevent the construction…

高能物理 - 理论 · 物理学 2009-11-07 Nathan Berkovits