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It is shown that the lattice Wess-Zumino model written in terms of Ginsparg-Wilson fermions is invariant under a generalized supersymmetry transformation which is determined by an iterative procedure in the coupling constant. This…

High Energy Physics - Lattice · Physics 2009-11-10 Marisa Bonini , Alessandra Feo

In these lectures I present a basic introduction to supersymmetry, especially to N=1 supersymmetric gauge theories and their renormalization, in the Wess-Zumino gauge. I also discuss the various ways supersymmetry may be broken in order to…

High Energy Physics - Theory · Physics 2007-05-23 Olivier Piguet

We examine a bilinear form Wess-Zumino term for a superstring in anti-de Sitter (AdS) spaces. This is composed of two parts; a bilinear term in superinvariant currents and a total derivative bilinear term which is required for the…

High Energy Physics - Theory · Physics 2009-11-07 Machiko Hatsuda , Makoto Sakaguchi

We generalize the method of quantizing effective strings proposed by Polchinski and Strominger to superstrings. The Ramond-Neveu-Schwarz string is different from the Green-Schwarz string in non-critical dimensions. Both are anomaly-free and…

High Energy Physics - Theory · Physics 2009-10-22 Zhu Yang

Within the superfield approach, we formulate two different extensions of the Wess-Zumino model and super-QED with Horava-Lifshitz-like additive terms, discuss their quantum properties and calculate lower contributions to the effective…

High Energy Physics - Theory · Physics 2014-12-25 M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

The ten-dimensional superparticle is covariantly quantized by constructing a BRST operator from the fermionic Green-Schwarz constraints and a bosonic pure spinor variable. This same method was recently used for covariantly quantizing the…

High Energy Physics - Theory · Physics 2010-02-03 Nathan Berkovits

We discuss superstring theory based on the reader's intuition and her college knowledge of general physics and calculus. Nowadays, superstring theory is considered the best candidate to explain physical phenomena that involve all of the…

Popular Physics · Physics 2014-12-19 Herbert Morales

Following the approach developed by some of the authors in recent papers and using a matrix representation for the superfields, we formulate an exact supersymmetric theory with two supercharges on a one dimensional lattice. In the…

High Energy Physics - Lattice · Physics 2009-11-05 Sergio Arianos , Alessandro D'Adda , Alessandra Feo , Noboru Kawamoto , Jun Saito

Multiloop gauge-theory amplitudes written in the Feynman-parameter representation are poised to take advantage of two important developments of the last decade: the spinor-helicity technique and the superstring reorganization. The former…

High Energy Physics - Phenomenology · Physics 2009-10-22 C. S. Lam

We determine Furstenberg entropy spectra of ergodic stationary actions of $SL(d,\mathbb{R})$ and its lattices. The constraints on entropy spectra are derived from a refinement of the Nevo-Zimmer projective factor theorem. The realisation…

Dynamical Systems · Mathematics 2023-07-06 Jérémie Brieussel , Tianyi Zheng

We attempt to construct the full equations of motion for the Neveu-Schwarz and the Ramond sectors of the heterotic string field theory. Although they are non-polynomial also in the Ramond string field $\Psi$, we can construct them order by…

High Energy Physics - Theory · Physics 2014-05-07 Hiroshi Kunitomo

We define string geometry: spaces of superstrings including the interactions, their topologies, charts, and metrics. Trajectories in asymptotic processes on a space of strings reproduce the right moduli space of the super Riemann surfaces…

High Energy Physics - Theory · Physics 2021-02-03 Matsuo Sato

In the framework of WZW-like open superstring field theory (SSFT) including the Ramond (R) sector whose action was constructed by Kunitomo and Okawa, we truncate the string fields in both the Neveu-Schwarz (NS) and R sectors up to the…

High Energy Physics - Theory · Physics 2019-12-06 Mitsuru Asada , Isao Kishimoto

Sigma models on semi-symmetric spaces provide the central building block for string theories on AdS backgrounds. Under certain conditions on the global supersymmetry group they can be made one-loop conformal by adding an appropriate…

High Energy Physics - Theory · Physics 2016-05-04 Alessandra Cagnazzo , Volker Schomerus , Vaclav Tlapak

This paper revisits the nonlinear realization of spontaneously broken N=1 supersymmetry. It is shown that the constrained superfield formalism can be reinterpreted in the language of standard realization of nonlinear supersymmetry via a new…

High Energy Physics - Theory · Physics 2015-05-18 Hui Luo , Mingxing Luo , Liucheng Wang

Super Feynman rules for any superspin are given for massive $ \mathcal{N}=1 $ supersymmetric theories, including momentum superspace on-shell legs. This is done by extending, from space to superspace, Weinberg's perturbative approach to…

High Energy Physics - Theory · Physics 2015-10-27 Enrique Jiménez

We propose the extension of the spectral action principle to fermions and show that the neutrino mass terms appear then naturally as next-order corrections.

Mathematical Physics · Physics 2018-06-04 Andrzej Sitarz

We discuss the Hamiltonian formulation of the Schwinger proper-time method of calculating Green functions in gauge theories. Instead of calculating Feynman diagrams, we solve the corresponding Dyson-Schwinger equations. We express the…

High Energy Physics - Phenomenology · Physics 2011-07-19 George Siopsis

In this paper, we proved the correspondence between Feynman diagrams in space-time and light-cone diagrams in world-sheet by using only path integral representation on free Green function in the first quantization theory. We also obtained…

General Physics · Physics 2016-04-29 Am-Gil Li , Tae-Song Kim , Chol-Man Li , Song-Jin Im

The three string vertex for Type IIB superstrings in a maximally supersymmetric plane-wave background is investigated. Specifically, we derive a factorization theorem for the Neumann coefficients that generalizes a flat-space result that…

High Energy Physics - Theory · Physics 2009-11-07 John H. Schwarz