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Title: Giant gravitons and the emergence of geometric limits in β-deformations of $$ \mathcal{N}=4 $$ SYM

Abstract

We study a one parameter family of supersymmetric marginal deformations of N = 4 SYM with U(1) 3 symmetry, known as β-deformations, to understand their dual AdS × X geometry, where X is a large classical geometry in the g YM 2 N → ∞ limit. We argue that we can determine whether or not X is geometric by studying the spectrum of open strings between giant gravitons states, as represented by operators in the field theory, as we take N → ∞ in certain double scaling limits. We study the conditions under which these open strings can give rise to a large number of states with energy far below the string scale. The number-theoretic properties of β are very important. When exp(iβ) is a root of unity, the space X is an orbifold. When exp(iβ) close to a root of unity in a double scaling limit sense, X corresponds to a finite deformation of the orbifold. Lastly, if β is irrational, sporadic light states can be present.

Authors:
 [1];  [1]
  1. Univ. of California, Santa Barbara, CA (United States). Dept. of Physics
Publication Date:
Research Org.:
Univ. of California, Santa Barbara, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1455052
Grant/Contract Number:  
SC0011702; AC05-06OR23100
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; D-branes; AdS-CFT Correspondence; Gauge-gravity correspondence

Citation Formats

Berenstein, David, and Dzienkowski, Eric. Giant gravitons and the emergence of geometric limits in β-deformations of $ \mathcal{N}=4 $ SYM. United States: N. p., 2015. Web. doi:10.1007/JHEP01(2015)126.
Berenstein, David, & Dzienkowski, Eric. Giant gravitons and the emergence of geometric limits in β-deformations of $ \mathcal{N}=4 $ SYM. United States. doi:10.1007/JHEP01(2015)126.
Berenstein, David, and Dzienkowski, Eric. Fri . "Giant gravitons and the emergence of geometric limits in β-deformations of $ \mathcal{N}=4 $ SYM". United States. doi:10.1007/JHEP01(2015)126. https://www.osti.gov/servlets/purl/1455052.
@article{osti_1455052,
title = {Giant gravitons and the emergence of geometric limits in β-deformations of $ \mathcal{N}=4 $ SYM},
author = {Berenstein, David and Dzienkowski, Eric},
abstractNote = {We study a one parameter family of supersymmetric marginal deformations of N = 4 SYM with U(1)3 symmetry, known as β-deformations, to understand their dual AdS × X geometry, where X is a large classical geometry in the g YM 2 N → ∞ limit. We argue that we can determine whether or not X is geometric by studying the spectrum of open strings between giant gravitons states, as represented by operators in the field theory, as we take N → ∞ in certain double scaling limits. We study the conditions under which these open strings can give rise to a large number of states with energy far below the string scale. The number-theoretic properties of β are very important. When exp(iβ) is a root of unity, the space X is an orbifold. When exp(iβ) close to a root of unity in a double scaling limit sense, X corresponds to a finite deformation of the orbifold. Lastly, if β is irrational, sporadic light states can be present.},
doi = {10.1007/JHEP01(2015)126},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2015,
place = {United States},
year = {2015},
month = {1}
}

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