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Calabi-Yau Introduction Introduction The Calabi-Yau ❖ Calabi-Yau Introduction ❖ Calabi-Yau Construction ❖ Calabi-Yau Properties ❖ Group Actions on the Base I ❖ Group Actions on the Base II ❖ Invariant Cohomology ❖ Divisors on the Base ❖ Divisors on the Calabi-Yau Calabi-Yau threefold X with π 1 (X) = Z 3 × Z 3 The Vector Bundle A First Heterotic Standard Model Spectral Sequences A New Heterotic Standard Model Conclusion A Heterotic Standard Model / University of North Carolina at Chapel Hill 11 / 54
Calabi-Yau Introduction Introduction The Calabi-Yau ❖ Calabi-Yau Introduction ❖ Calabi-Yau Construction ❖ Calabi-Yau Properties ❖ Group Actions on the Base I ❖ Group Actions on the Base II ❖ Invariant Cohomology ❖ Divisors on the Base ❖ Divisors on the Calabi-Yau Work with Simply connected Calabi-Yau threefold ˜X with free Z 3 × Z 3 action = Have in mind Calabi-Yau threefold X with π 1 (X) = Z 3 × Z 3 The Vector Bundle A First Heterotic Standard Model Spectral Sequences A New Heterotic Standard Model Conclusion A Heterotic Standard Model / University of North Carolina at Chapel Hill 11 / 54
Page 1 and 2: GoBack
Page 3 and 4: Overview Introduction The Calabi-Ya
Page 5 and 6: Introduction Introduction ❖ Intro
Page 13 and 14: An Organizational Principle Introdu
Page 15 and 16: Wilson Line Breaking Introduction
Page 17 and 18: More Group Theory Introduction ❖
Page 19 and 20: Wish List Introduction ❖ Introduc
Page 21 and 22: Wish List Introduction ❖ Introduc
Page 23: Introduction The Calabi-Yau ❖ Cal
Page 27 and 28: Calabi-Yau Construction Introductio
Page 29 and 30: Calabi-Yau Construction Introductio
Page 31 and 32: Calabi-Yau Properties Introduction
Page 33 and 34: Calabi-Yau Properties Introduction
Page 35 and 36: Group Actions on the Base I Introdu
Page 37 and 38: Group Actions on the Base II Introd
Page 39 and 40: Invariant Cohomology Introduction T
Page 41 and 42: Invariant Cohomology Introduction T
Page 43 and 44: Divisors on the Base Introduction T
Page 45 and 46: Divisors on the Calabi-Yau Introduc
Page 47 and 48: Line Bundles Introduction The Calab
Page 49 and 50: Line Bundles Introduction The Calab
Page 51 and 52: Equivariant Line Bundles I Introduc
Page 53 and 54: Equivariant Line Bundles II Introdu
Page 55 and 56: Equivariant Line Bundles II Introdu
Page 57 and 58: Notation Introduction The Calabi-Ya
Page 59 and 60: The Serre Construction Introduction
Page 61 and 62: Equivariant Vector Bundles Introduc
Page 63 and 64: Equivariant Example 0 −→ O B2 (
Page 71 and 72: Constructing Vector Bundles Introdu
Page 73 and 74: Constructing Vector Bundles Introdu
Page 75 and 76:
The Gauge Bundle Introduction The C
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The Lagrangian Introduction The Cal
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The String Miracle Introduction The
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The String Miracle Introduction The
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Leray Spectral Sequence Introductio
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Leray Spectral Sequence Introductio
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Leray Degrees Introduction The Cala
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Leray Degree Table Field Cohomology
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The Superpotential The cubic terms
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More on Leray Degrees Introduction
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Introduction The Calabi-Yau The Vec
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Ideal Sheaves Introduction The Cala
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Ideal Sheaves Introduction The Cala
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Serre Construction Introduction The
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Low Energy Spectrum Introduction Th
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Low Energy Spectrum Introduction Th
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Vector Bundle Breaking Introduction
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Cohomology Introduction The Calabi-
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Doublet-Triplet Splitting Introduct
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Leray Degrees Field Cohomology Fibe
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Introduction The Calabi-Yau The Vec
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Important Lessons Introduction The
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Future Directions Introduction The
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