New supersymmetric string moduli spaces from frozen singularities
A bstract The current classification of N = 1 string theories in eight and seven dimensions is completely captured by K3 surfaces with F-Theory or M-Theory frozen singularities. In this note we show that there are inequivalent ways of freezing certain collections of singularities which have the same...
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Published in | The journal of high energy physics Vol. 2023; no. 1; pp. 170 - 18 |
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Main Author | |
Format | Journal Article |
Language | English |
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Berlin/Heidelberg
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31.01.2023
Springer Nature B.V Springer SpringerOpen |
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Abstract | A
bstract
The current classification of
N
= 1 string theories in eight and seven dimensions is completely captured by K3 surfaces with F-Theory or M-Theory frozen singularities. In this note we show that there are inequivalent ways of freezing certain collections of singularities which have the same ADE type, and so there are more connected components in the moduli space than previously thought; namely, one more in eight dimensions and three more in seven dimensions. We argue that the new component in eight dimensions decompactifies to a string theory in nine dimensions with rank 1 gauge group, which has been so far unidentified. Constructing and studying the stringy descriptions corresponding to these moduli spaces is the subject of a companion paper. |
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AbstractList | The current classification of N = 1 string theories in eight and seven dimensions is completely captured by K3 surfaces with F-Theory or M-Theory frozen singularities. In this note we show that there are inequivalent ways of freezing certain collections of singularities which have the same ADE type, and so there are more connected components in the moduli space than previously thought; namely, one more in eight dimensions and three more in seven dimensions. We argue that the new component in eight dimensions decompactifies to a string theory in nine dimensions with rank 1 gauge group, which has been so far unidentified. Constructing and studying the stringy descriptions corresponding to these moduli spaces is the subject of a companion paper. Abstract The current classification of N $$ \mathcal{N} $$ = 1 string theories in eight and seven dimensions is completely captured by K3 surfaces with F-Theory or M-Theory frozen singularities. In this note we show that there are inequivalent ways of freezing certain collections of singularities which have the same ADE type, and so there are more connected components in the moduli space than previously thought; namely, one more in eight dimensions and three more in seven dimensions. We argue that the new component in eight dimensions decompactifies to a string theory in nine dimensions with rank 1 gauge group, which has been so far unidentified. Constructing and studying the stringy descriptions corresponding to these moduli spaces is the subject of a companion paper. The current classification of $$ \mathcal{N} $$ N = 1 string theories in eight and seven dimensions is completely captured by K3 surfaces with F-Theory or M-Theory frozen singularities. In this note we show that there are inequivalent ways of freezing certain collections of singularities which have the same ADE type, and so there are more connected components in the moduli space than previously thought; namely, one more in eight dimensions and three more in seven dimensions. We argue that the new component in eight dimensions decompactifies to a string theory in nine dimensions with rank 1 gauge group, which has been so far unidentified. Constructing and studying the stringy descriptions corresponding to these moduli spaces is the subject of a companion paper. A bstract The current classification of N = 1 string theories in eight and seven dimensions is completely captured by K3 surfaces with F-Theory or M-Theory frozen singularities. In this note we show that there are inequivalent ways of freezing certain collections of singularities which have the same ADE type, and so there are more connected components in the moduli space than previously thought; namely, one more in eight dimensions and three more in seven dimensions. We argue that the new component in eight dimensions decompactifies to a string theory in nine dimensions with rank 1 gauge group, which has been so far unidentified. Constructing and studying the stringy descriptions corresponding to these moduli spaces is the subject of a companion paper. The current classification of $\mathcal{N} = 1$ string theories in eight and seven dimensions is completely captured by K3 surfaces with F-Theory or M-Theory frozen singularities. In this note we show that there are inequivalent ways of freezing certain collections of singularities which have the same ADE type, and so there are more connected components in the moduli space than previously thought; namely, one more in eight dimensions and three more in seven dimensions. We argue that the new component in eight dimensions decompactifies to a string theory in nine dimensions with rank 1 gauge group, which has been so far unidentified. Constructing and studying the stringy descriptions corresponding to these moduli spaces is the subject of a companion paper. |
ArticleNumber | 170 |
Author | Parra De Freitas, Héctor |
Author_xml | – sequence: 1 givenname: Héctor orcidid: 0000-0003-0259-4829 surname: Parra De Freitas fullname: Parra De Freitas, Héctor email: hector.parradefreitas@ipht.fr organization: Institut de Physique Théorique, Université Paris Saclay, CEA, CNRS |
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Cites_doi | 10.1016/0550-3213(92)90129-Y 10.1088/1126-6708/2007/05/073 10.1007/JHEP02(2022)082 10.1103/PhysRevD.104.086018 10.1007/JHEP08(2018)138 10.1016/0550-3213(95)00614-1 10.1007/JHEP10(2014)016 10.1007/JHEP01(2021)063 10.1016/0550-3213(95)00589-7 10.1016/S0550-3213(98)00605-1 10.1103/PhysRevLett.125.211602 10.1103/PhysRevD.106.026007 10.4310/ATMP.2000.v4.n5.a1 10.1016/0550-3213(96)00395-1 10.1088/1126-6708/1998/07/012 10.1007/JHEP01(2023)091 10.1103/PhysRevD.52.7168 10.1007/JHEP10(2021)002 10.1070/IM1980v014n01ABEH001060 10.1007/JHEP06(2022)083 10.1007/JHEP08(2021)095 10.1007/JHEP10(2020)194 10.1007/JHEP04(2022)007 10.1007/JHEP06(2022)042 10.1307/mmj/1030132587 10.1007/JHEP06(2021)178 |
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Keywords | Superstring Vacua Superstrings and Heterotic Strings String Duality moduli space surface F-theory singularity dimension: 7 supersymmetry: 1 M-theory dimension: 8 string model dimension: 9 |
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References_xml | – reference: ChaudhuriSPolchinskiJModuli space of CHL stringsPhys. Rev. D19955271681995PhRvD..52.7168C137587810.1103/PhysRevD.52.7168[hep-th/9506048] [INSPIRE] – reference: F.A. Cachazo and C. Vafa, Type I’ and real algebraic geometry, HUTP-99-A058 (2000) [hep-th/0001029] [INSPIRE]. – reference: LeeS-JLercheWWeigandTPhysics of infinite complex structure limits in eight dimensionsJHEP2022060422022JHEP...06..042L444785510.1007/JHEP06(2022)04207623718[arXiv:2112.08385] [INSPIRE] – reference: ChaudhuriSLoweDAType IIA heterotic duals with maximal supersymmetryNucl. Phys. B19964591131996NuPhB.459..113C137222210.1016/0550-3213(95)00589-71003.81523[hep-th/9508144] [INSPIRE] – reference: MonteroMParra de FreitasHNew supersymmetric string theories from discrete theta anglesJHEP2023010912023JHEP...01..091M453689410.1007/JHEP01(2023)09107675279[arXiv:2209.03361] [INSPIRE] – reference: ShimadaIOn elliptic K3 surfacesMichigan Math. 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bstract
The current classification of
N
= 1 string theories in eight and seven dimensions is completely captured by K3 surfaces with F-Theory or M-Theory... The current classification of $$ \mathcal{N} $$ N = 1 string theories in eight and seven dimensions is completely captured by K3 surfaces with F-Theory or... The current classification of N = 1 string theories in eight and seven dimensions is completely captured by K3 surfaces with F-Theory or M-Theory frozen... The current classification of $\mathcal{N} = 1$ string theories in eight and seven dimensions is completely captured by K3 surfaces with F-Theory or M-Theory... Abstract The current classification of N $$ \mathcal{N} $$ = 1 string theories in eight and seven dimensions is completely captured by K3 surfaces with... |
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SubjectTerms | Classical and Quantum Gravitation Elementary Particles Freezing High energy physics High Energy Physics - Theory M theory Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Singularities Spacetime String Duality String Theory Superstring Vacua Superstrings and Heterotic Strings |
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Title | New supersymmetric string moduli spaces from frozen singularities |
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