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We consider string/M-theory reductions on a compact space $X=X^\text{loc} \cup X^\circ$, where $X^\text{loc}$ contains the singular locus, and $X^\circ$ its complement. For the resulting supergravity theories, we construct a suitable…

High Energy Physics - Theory · Physics 2023-12-05 Dewi S. W. Gould , Ling Lin , Evyatar Sabag

We use the numerical conformal bootstrap to study six-dimensional $\mathcal{N}=(1,0)$ superconformal field theories with flavor symmetry $\mathfrak{so}_{4k}$. We present evidence that minimal $(D_k, D_k)$ conformal matter saturates the…

High Energy Physics - Theory · Physics 2022-02-23 Florent Baume , Craig Lawrie

We apply the Kerr/CFT correspondence to the rotating black p-brane solutions. These solutions give the simplest examples from string theory point of view. Their near horizon geometries have structures of AdS, even though black p-brane…

High Energy Physics - Theory · Physics 2009-09-28 Li-Ming Cao , Yoshinori Matsuo , Takuya Tsukioka , Chul-Moon Yoo

We list 4d interacting $\mathcal{N}=2$ SCFT with minimal flavor central charge from the theory space constructed using 6d $(2,0)$ theory. For $ADE$ and $C_N$ flavor groups, our theory saturates the bound found using bootstrap method, but…

High Energy Physics - Theory · Physics 2017-12-12 Dan Xie

In recent scans of 4D F-theory geometric models, it was shown that a dominant majority of the base geometries only support SU(2), $G_2$, $F_4$ and $E_8$ gauge groups. Moreover, most of these gauge groups are shown to couple to strongly…

High Energy Physics - Theory · Physics 2019-02-25 Jiahua Tian , Yi-Nan Wang

When we describe string propagation on non-compact or singular Calabi-Yau manifolds by CFT, continuous as well as discrete representations appear in the theory. These representations mix in an intricate way under the modular…

High Energy Physics - Theory · Physics 2008-03-05 Tohru Eguchi , Yuji Sugawara , Anne Taormina

We give evidence that the all genus amplitudes of topological string theory on compact elliptically fibered Calabi-Yau manifolds can be written in terms of meromorphic Jacobi forms whose weight grows linearly and whose index grows…

High Energy Physics - Theory · Physics 2015-01-26 Min-xin Huang , Sheldon Katz , Albrecht Klemm

We define analytic torsion of Z_2-graded elliptic complexes as an element in the graded determinant line of the cohomology of the complex, generalizing most of the variants of Ray-Singer analytic torsion in the literature. It applies to a…

Differential Geometry · Mathematics 2014-03-27 Varghese Mathai , Siye Wu

We probe type IIA geometries with \emph{folded} semiclassical strings those encode the strong coupling dynamics associated with long operators in a class of SCFTs pertaining to spacetimes whose dimension vary from $6d$ down to $2d$. We…

High Energy Physics - Theory · Physics 2021-08-12 Dibakar Roychowdhury

We describe general methods for determining higher-form symmetry groups of known 5d and 6d superconformal field theories (SCFTs), and 6d little string theories (LSTs). The 6d theories can be described as supersymmetric gauge theories in 6d…

High Energy Physics - Theory · Physics 2021-03-17 Lakshya Bhardwaj , Sakura Schafer-Nameki

We study a general class of functionals providing an analytic handle on the conformal bootstrap equations in one dimension. We explicitly identify the extremal functionals, corresponding to theories saturating conformal bootstrap bounds, in…

High Energy Physics - Theory · Physics 2019-03-27 Dalimil Mazac , Miguel F. Paulos

We develop new tools for isolating CFTs using the numerical bootstrap. A "cutting surface" algorithm for scanning OPE coefficients makes it possible to find islands in high-dimensional spaces. Together with recent progress in large-scale…

High Energy Physics - Theory · Physics 2020-07-06 Shai M. Chester , Walter Landry , Junyu Liu , David Poland , David Simmons-Duffin , Ning Su , Alessandro Vichi

We test various conjectures about quantum gravity for six-dimensional string compactifications in the framework of F-theory. Starting with a gauge theory coupled to gravity, we analyze the limit in K\"ahler moduli space where the gauge…

High Energy Physics - Theory · Physics 2018-11-14 Seung-Joo Lee , Wolfgang Lerche , Timo Weigand

Non-perturbative limitations on low-energy effective field theories (EFTs) based on the characteristics of high-energy theory are provided by the analyticity of the flat-space version of the S-matrix. Although the analyticity of the…

High Energy Physics - Theory · Physics 2026-01-30 Sayantan Choudhury

We constrain the spectrum of two-dimensional unitary, compact conformal field theories with central charge c > 1 using modular bootstrap. Upper bounds on the gap in the dimension of primary operators of any spin, as well as in the dimension…

High Energy Physics - Theory · Physics 2016-08-23 Scott Collier , Ying-Hsuan Lin , Xi Yin

Motivated by the recently proposed bounds on the slow-roll parameters for scalar potentials arising from string/M-theory compactifications, a.k.a. the Refined de Sitter Swampland conjecture, we explore the sharpness of such constraints…

High Energy Physics - Theory · Physics 2018-10-29 Johan Blåbäck , Ulf Danielsson , Giuseppe Dibitetto

We investigate the asymptotic Tower Weak Gravity Conjecture in weak coupling limits of open string theories with minimal supersymmetry in four dimensions, focusing for definiteness on gauge theories realized on 7-branes in F-theory.…

High Energy Physics - Theory · Physics 2022-11-11 Cesar Fierro Cota , Alessandro Mininno , Timo Weigand , Max Wiesner

We show that the boundary string field theory (BSFT) on unstable D0-branes in 2d string theory is equivalent to the double scaled c=1 matrix model (i.e. quadratic action), even though we naively expect many interaction terms in BSFT. It is…

High Energy Physics - Theory · Physics 2009-11-11 Tadashi Takayanagi , Seiji Terashima

According to a recent classification of 6d (1,0) theories within F-theory there are only six "pure" 6d gauge theories which have a UV superconformal fixed point. The corresponding gauge groups are $SU(3),SO(8),F_4,E_6,E_7$, and $E_8$. These…

High Energy Physics - Theory · Physics 2017-10-25 Michele Del Zotto , Guglielmo Lockhart

A single M5-brane probing G, an ADE-type singularity, leads to a system which has G x G global symmetry and can be viewed as "bifundamental" (G,G) matter. For the A_N series, this leads to the usual notion of bifundamental matter. For the…

High Energy Physics - Theory · Physics 2015-06-22 Michele Del Zotto , Jonathan J. Heckman , Alessandro Tomasiello , Cumrun Vafa
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