At large complex structure in F-theory, the F-term potential simplifies to V = Z^{AB} ρ_A ρ_B, yielding two families of flux vacua with all complex structure moduli fixed, one with bounded saxion vevs and one with unbounded vevs where N_flux factors into two integers.
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Inflation and String Theory
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We review cosmological inflation and its realization in quantum field theory and in string theory. This material is a portion of a book, also entitled "Inflation and String Theory", to be published by Cambridge University Press.
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In a string-inspired two-field axion monodromy model, oscillatory modulations excite heavy moduli during inflation, producing detectable cosmological collider signals in the primordial bispectrum that bypass Boltzmann suppression.
Orbital Inflation reconstructs two-field actions with an angular isometry yielding single-field-like predictions that violate consistency relations and allow f_NL from slow-roll suppressed to O(few) depending on entropy mass and self-interactions.
Stochastic effects in multifield inflation make the number of fields relevant for e-fold statistics and power spectrum, with a general formula for higher moments and an upper bound on fields for successful inflation.
The equilateral bispectrum from massive scalar exchange in inflation is not universally negative in the full EFT of inflation; its sign depends on a critical ratio of operator coefficients.
A stable initial state is identified in mLQC-I that diagonalizes the Hamiltonian and minimizes particle creation, with mode functions approximated analytically by Airy or cylindrical functions whose constants are fixed by that state.
A non-canonical generalized Brans-Dicke theory admits background cosmological solutions matching Lambda CDM characteristics for constant, power-law, and exponential potentials, with dynamics distinct from other scalar-tensor models.
Explores SKAO detection of scalar-induced GW backgrounds as probes of primordial non-Gaussianity and parity violation, with LSS cross-correlation to improve SNR.
A review of existing waveform models for LISA sources and the challenges that must still be overcome.
Modified gravity theories supply viable mathematical frameworks for inflation, bounces, and dark energy eras that match observational data.
Lecture notes providing a technical introduction to naturalness problems and the string theory landscape for graduate students.
A review of branes in string theory covering their multiple descriptions and interaction phenomena.
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F-theory flux vacua at large complex structure
At large complex structure in F-theory, the F-term potential simplifies to V = Z^{AB} ρ_A ρ_B, yielding two families of flux vacua with all complex structure moduli fixed, one with bounded saxion vevs and one with unbounded vevs where N_flux factors into two integers.
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The UV Sensitivity of Axion Monodromy Inflation
In a string-inspired two-field axion monodromy model, oscillatory modulations excite heavy moduli during inflation, producing detectable cosmological collider signals in the primordial bispectrum that bypass Boltzmann suppression.
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Orbital Inflation: inflating along an angular isometry of field space
Orbital Inflation reconstructs two-field actions with an angular isometry yielding single-field-like predictions that violate consistency relations and allow f_NL from slow-roll suppressed to O(few) depending on entropy mass and self-interactions.
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Massive Exchange and the Sign of the Equilateral Bispectrum
The equilateral bispectrum from massive scalar exchange in inflation is not universally negative in the full EFT of inflation; its sign depends on a critical ratio of operator coefficients.
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Lectures on Naturalness, String Landscape and Multiverse
Lecture notes providing a technical introduction to naturalness problems and the string theory landscape for graduate students.
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Branes
A review of branes in string theory covering their multiple descriptions and interaction phenomena.