Modular invariance, finiteness, and misaligned supersymmetry: New constraints on the numbers of physical string states

Research output: Contribution to journalArticle

61 Citations (Scopus)

Abstract

We investigate the genetic distribution of bosonic and fermionic states at all mass levels in non-supersymmetric string theories, and find that a hidden "misaligned supersymmetry" must always appear in the string spectrum. We show that this misaligned supersymmetry is ultimately responsible for the finiteness of string amplitudes in the absence of full spacetime supersymmetry, and therefore the existence of misaligned supersymmetry provides a natural constraint on the degree to which spacetime supersymmetry can be broken in string theory without destroying the finiteness of string amplitudes. Misaligned supersymmetry also explains how the requirements of modular invariance and absence of physical tachyons generically affect the distribution of states throughout the string spectrum, and implicitly furnishes a two-variable generalization of some well-known results in the theory of modular functions.

Original languageEnglish (US)
Pages (from-to)533-588
Number of pages56
JournalNuclear Physics B
Volume429
Issue number3
DOIs
StatePublished - Nov 7 1994
Externally publishedYes

Fingerprint

supersymmetry
invariance
strings
string theory
tachyons
requirements

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Modular invariance, finiteness, and misaligned supersymmetry : New constraints on the numbers of physical string states. / Dienes, Keith R.

In: Nuclear Physics B, Vol. 429, No. 3, 07.11.1994, p. 533-588.

Research output: Contribution to journalArticle

@article{35db73e896e54ec8910cc546a1bf3124,
title = "Modular invariance, finiteness, and misaligned supersymmetry: New constraints on the numbers of physical string states",
abstract = "We investigate the genetic distribution of bosonic and fermionic states at all mass levels in non-supersymmetric string theories, and find that a hidden {"}misaligned supersymmetry{"} must always appear in the string spectrum. We show that this misaligned supersymmetry is ultimately responsible for the finiteness of string amplitudes in the absence of full spacetime supersymmetry, and therefore the existence of misaligned supersymmetry provides a natural constraint on the degree to which spacetime supersymmetry can be broken in string theory without destroying the finiteness of string amplitudes. Misaligned supersymmetry also explains how the requirements of modular invariance and absence of physical tachyons generically affect the distribution of states throughout the string spectrum, and implicitly furnishes a two-variable generalization of some well-known results in the theory of modular functions.",
author = "Dienes, {Keith R}",
year = "1994",
month = "11",
day = "7",
doi = "10.1016/0550-3213(94)90153-8",
language = "English (US)",
volume = "429",
pages = "533--588",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "3",

}

TY - JOUR

T1 - Modular invariance, finiteness, and misaligned supersymmetry

T2 - New constraints on the numbers of physical string states

AU - Dienes, Keith R

PY - 1994/11/7

Y1 - 1994/11/7

N2 - We investigate the genetic distribution of bosonic and fermionic states at all mass levels in non-supersymmetric string theories, and find that a hidden "misaligned supersymmetry" must always appear in the string spectrum. We show that this misaligned supersymmetry is ultimately responsible for the finiteness of string amplitudes in the absence of full spacetime supersymmetry, and therefore the existence of misaligned supersymmetry provides a natural constraint on the degree to which spacetime supersymmetry can be broken in string theory without destroying the finiteness of string amplitudes. Misaligned supersymmetry also explains how the requirements of modular invariance and absence of physical tachyons generically affect the distribution of states throughout the string spectrum, and implicitly furnishes a two-variable generalization of some well-known results in the theory of modular functions.

AB - We investigate the genetic distribution of bosonic and fermionic states at all mass levels in non-supersymmetric string theories, and find that a hidden "misaligned supersymmetry" must always appear in the string spectrum. We show that this misaligned supersymmetry is ultimately responsible for the finiteness of string amplitudes in the absence of full spacetime supersymmetry, and therefore the existence of misaligned supersymmetry provides a natural constraint on the degree to which spacetime supersymmetry can be broken in string theory without destroying the finiteness of string amplitudes. Misaligned supersymmetry also explains how the requirements of modular invariance and absence of physical tachyons generically affect the distribution of states throughout the string spectrum, and implicitly furnishes a two-variable generalization of some well-known results in the theory of modular functions.

UR - http://www.scopus.com/inward/record.url?scp=0001444075&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001444075&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(94)90153-8

DO - 10.1016/0550-3213(94)90153-8

M3 - Article

AN - SCOPUS:0001444075

VL - 429

SP - 533

EP - 588

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -