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We study the derived category of pseudo-coherent complexes over a noetherian commutative ring, building on prior work by Matsui-Takahashi. Our main theorem is a computation of the Balmer spectrum of this category in the case of a discrete…

Commutative Algebra · Mathematics 2025-08-26 Beren Sanders , Yufei Zhang

Proposals are made to describe 1D, N = 4 supersymmetrical systems that extend SYK models by compactifying from 4D, N = 1 supersymmetric Lagrangians involving chiral, vector, and tensor supermultiplets. Quartic fermionic vertices are…

High Energy Physics - Theory · Physics 2021-06-30 S. James Gates, , Yangrui Hu , S. -N. Hazel Mak

The recent developments in string theory suggest that the space-time coordinates should be generalized to non-commuting matrices. Postulating this suggestion as the fundamental geometrical principle, we formulate a candidate for covariant…

High Energy Physics - Theory · Physics 2009-10-30 Christiaan Hofman , Jae-Suk Park

It is shown that similarly to massless superparticle, classical global symmetry of the Berkovits twistor string action is infinite-dimensional. We identify its superalgebra, whose finite-dimensional subalgebra contains $psl(4|4,\mathbb R)$…

High Energy Physics - Theory · Physics 2014-11-12 D. V. Uvarov

String theory and supersymmetry are theoretical ideas that go beyond the standard model of particle physics and show promise for unifying all forces. After a brief introduction to supersymmetry, we discuss the prospects for its experimental…

High Energy Physics - Theory · Physics 2008-11-26 John H. Schwarz , Nathan Seiberg

As in the first part of this paper (hep-th 9204092), solutions to a string equation are regarded as fixed points of some additional symmetries of a hierarchy of integrable equations. In this part matrix hierarchies are studied: the…

High Energy Physics - Theory · Physics 2015-06-26 L. A. Dickey

The IIB matrix model has been proposed as a non-perturbative definition of superstring theory. In this work, we study the Euclidean version of this model in which extra dimensions can be dynamically compactified if a scenario of…

High Energy Physics - Lattice · Physics 2015-11-12 Konstantinos N. Anagnostopoulos , Takehiro Azuma , Jun Nishimura

We propose a systematic treatment of symmetries of KP integrable systems, including constrained (reduced) KP models ${\sl cKP}_{R,M}$, and their multi-component (matrix) generalizations. Any such integrable hierarchy is shown to possess an…

Exactly Solvable and Integrable Systems · Physics 2019-08-17 H. Aratyn , J. F. Gomes , E. Nissimov , S. Pacheva

Nonstandard parafermions are built and their central charges and dimensions are calculated. We then construct new N=2 superconformal field theories by tensoring the parafermions with a free boson. We study the spectrum and modular…

High Energy Physics - Theory · Physics 2015-05-28 Andrei Babichenko , Doron Gepner

We investigate asymmetric orbifold models constructed from non-supersymmetric heterotic strings. We systematically classify the asymmetric orbifold models with standard embeddings and present a list of asymmetric orbifolds which are…

High Energy Physics - Theory · Physics 2011-07-19 Toshihiro Sasada

The canonical Monte-Carlo algorithm for simulating the production of string-like topological defects at a phase transition is extended by introducing a distribution of domain sizes. A strong correlation is found between the fraction in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Andrew Yates , T. W. B. Kibble

Even though matrix model partition functions do not exhaust the entire set of tau-functions relevant for string theory, they seem to be elementary building blocks for many others and they seem to properly capture the fundamental symplicial…

High Energy Physics - Theory · Physics 2018-05-01 A. Alexandrov , A. Mironov , A. Morozov

Tensor models are generalizations of matrix models, and are studied as discrete models of quantum gravity for arbitrary dimensions. Among them, the canonical tensor model (CTM for short) is a rank-three tensor model formulated as a totally…

High Energy Physics - Theory · Physics 2015-12-23 Gaurav Narain , Naoki Sasakura

The $N=2$ fermionic string theory is revisited in light of its recently proposed equivalence to the non-compact $N=4$ fermionic string model. The issues of space-time Lorentz covariance and supersymmetry for the BRST quantized $N=2$ strings…

High Energy Physics - Theory · Physics 2010-04-06 S. V. Ketov

We investigate the microphysics of supersymmetric cosmic strings. In particular we focus on the vortices admitted by N=1 supersymmetric abelian Higgs models. We find the vortex solutions and demonstrate that the two simplest supersymmetric…

High Energy Physics - Phenomenology · Physics 2009-10-30 Stephen C. Davis , Anne-Christine Davis , Mark Trodden

An extended free fermionic construction of the internal N=1 world sheet supercurrent for four-dimensional superstring theory is given. We show how it can describe theories with massless fermions, and we discuss the corresponding N=2…

High Energy Physics - Theory · Physics 2015-06-26 David M. Pierce

We present a one-parameter family of large $N$ disordered models, with and without supersymmetry, in three spacetime dimensions. They interpolate from the critical large $N$ vector model dual to a classical higher spin theory, towards a…

High Energy Physics - Theory · Physics 2022-07-13 Chi-Ming Chang , Sean Colin-Ellerin , Cheng Peng , Mukund Rangamani

We construct a 1+1 dimensional superstring-bit model for D=3 Type IIB superstring. This low dimension model escapes the problems encountered in higher dimension models: (1) It possesses full Galilean supersymmetry; (2) For noninteracting…

High Energy Physics - Theory · Physics 2009-10-28 Oren Bergman , Charles B. Thorn

By assuming the existence of a novel multipronged string state for D-particles interacting with D-brane intersections in type IIA string theory, we are able to derive a quantum mechanical description of supersymmetric Reissner-Nordstrom…

High Energy Physics - Theory · Physics 2009-10-31 Julie D. Blum

In the first part of this paper we investigate the operator aspect of higher-rank supersymmetric model which is introduced as a Lie theoretic extension of the $N=2$ minimal model with the simplest case $su(2)$ corresponding to the $N=2$…

High Energy Physics - Theory · Physics 2009-10-22 Toshiya Kawai , Taku Uchino , Sung-Kil Yang