**S**o, here it is a list of subjects, with different levels of work
periods and difficulty, that can be shared between us for
research in (Quantum) Cosmological Implications of
Superstring Theory. Some may even be extended, in order to cross
to another sector, depending on how much progress has been
achieved.

**Monography-Project**

These are suitable for final year projects of a (scientific) physics degree. Students of a teaching degree (like the one at UBI) may find these a little over their edge. But somehow, sometime you will have to start awakening and get THE real taste of life.

The aim is to write a report and/or a review paper on the chosen
topic. If *new* results can be included, that would be great!!
The earlier you start the better. It may take you 1 year so
consider to start soon, depending on your academic
background and professional aims. In particular, if you are
in the
Teaching
of Physics-Chemistry degree at UBI: it may take
you 2 years to produce a reasonable report.
If you apply to late ... it may NOT be possible to admit you.
Here is the list:

- The Graceful Exit and the Pre-Big-Bang Scenario
- String Cosmology and Quintessence
*alpha*-varying Cosmologies- RS and ADD Brane-Worlds
- Gravitational Waves in String-M-theory
- M-theory corrections to Einstein's gravity
- M-theory and Inflationary Cosmology
- The Hydrogen atom in Superstring scenarios
- A Schrodinger equation for Black-Hole scenarios
- Kantowski-Sachs, No-Hair Conjecture and Quantum Cosmology
- Quantum Cosmology of the Gowdy model
- Holography and ADS/CFT cosmologies
- Standard Model in Brane Cosmologies
- Perturbative Supersymmetric or Superstring Cosmology

**M.Sc. Theses**

The aim here is different from the above. You have to write a thesis and produce 1 or 2 papers that should have NEW (!) results and hence be suitable for publication. And you should be aiming at a graduate level, with one or two years work (if necessary) in the subject:

- The Graceful Exit and the Pre-Big-Bang Scenario from a non-perturbative description
- M-theory Quantum Cosmology and the influence of axion, dilaton and moduli fields
- Brane Cosmology
- Particle physics and (Large!?) Extra Dimensions
*alpha*-varying Cosmologies in String Scenarios- Brane Cosmologies and Dynamical Systems
*alpha*-varying Cosmologies and QED- The Equivalence Principle in Supergravity
- The Meaning of a Wave Function of the Universe in Supersymmetric Quantum Cosmology
- Brane gas in the Early Universe and Squezed Quantum States
- Decoherence in Quantum String Cosmology
- FD-relations in Quantum Cosmology
- Quantum Cosmology of Open Models
- Photon Scatering in N=2 Supergravity
- General Gauge Groups in String Cosmology

**Ph.D. Theses/Post-Doctoral Projects**

Within this sector, work is expected to go for mainly 2 (or 3
years if you are a graduate student). And yes, to produce 4 to 5
papers with *original, new* publishable results. As expected,
together with a thesis if you are a graduate student:

- The Graceful Exit and Brane Cosmology
- Brane Worlds, HW-compactification and Cosmological Solutions
- De-Sitter 4-dimensional spaces from higher-dimensional AdS Universes
- Chaos in String-M-theory
*alpha*-varying Cosmologies in String Scenarios/Brane Worlds- Standard Model in M-theory and CY/HW-compactifications
- Fractal Dimensions in String Cosmology
- Stability of (Large!?) Extra Dimensions
- Supersymmetry Breaking in Minisuperspaces
- Black Strings/Branes Stability

Finally, you can find in the General Relativity and Cosmology page plenty of on-line resources and links to reviews on GR, Cosmology, Dark Matter and Energy, CMB and perturbations as well as Inflation. In the following, you will find

A set of papers in Field Theory/Particle Physics:

- A Goldstone Boson Primer by C.P. Burgess
- Introduction to Quantum Field Theory by R.J. Crewther
- "Fields," Warren Siegel, web page, pdf
- "Beyond the Standard Model," Michael E. Peskin, hep-ph/9705479

upersymmetry references can be found here:

- "A Supersymmetry Primer," Stephen P. Martin, hep-ph/9709356
- "Introduction to Supersymmetry," Joseph D. Lykken, hep-th/9612114
- "Twenty Open Questions in Supersymmetric Particle Physics," Keith R. Dienes and Christopher Kolda, hep-ph/9712322
- "Introduction to S-Duality in N=2 Supersymmetric Gauge Theory. (A pedagogical review of the work of Seiberg and Witten)," L. Alvarez-Gaume and S.F. Hassan, hep-th/9701069
- "Magnetic Monopoles, Duality, and Supersymmetry," Jeffrey A. Harvey, hep-th/9603086
- "Supersymmetry Phenomenology With a Broad Brush," Michael Dine, hep-ph/9612389
- Basic Canon in D=4, N=1 Superfield Theory: Five Primer Lectures by S. James Gates, Jr
- Introduction to Rigid Supersymmetric Theories by P. C. West

For the bold researcher, here is a list of references in Superstring and M-theory:

- Introduction to Superstring Theory by E. Kiritsis
- String Primer by E. Alvarez and P. Meessen
- TASI Lectures: Introduction to the AdS/CFT Correspondence by Igor R. Klebanov
- An Introduction to Conformal Field Theory by Matthias R Gaberdiel
- An introduction to perturbative and non-perturbative string theory by Ignatios Antoniadis
- An introduction to AdS/CFT correspondence by Paolo Di Vecchia
- Introduction to S-Duality in N=2 Supersymmetric Gauge Theory. (A pedagogical review of the work of Seiberg and Witten) by L. Alvarez-Gaumeand S.F. Hassan
- Introduction to Seiberg-Witten Theory and its Stringy Origin by W. Lerche
- Introduction to the Maldacena Conjecture on AdS/CFT by Jens L. Petersen
- Introduction to M Theory and AdS/CFT Duality by John H. Schwarz
- Introduction to M Theory by Miao Li
- An Introduction to Non-perturbative String Theory by Ashoke Sen
- "Introduction to String Theory," Thomas Mohaupt, hep-th/0207249
- "String Duality--A Colloquium," Joseph Polchinski, hep-th/9607050
- "M Theory and Cosmology," Tom Banks, hep-th/9911067
- "String Theory, Supersymmetry, Unification, and All That," John Schwarz and Nathan Seiberg, hep-th/9803179
- "The holographic principle," Raphael Bousso, hep-th/0203101
- "Four Lectures on M-theory," P.K. Townsend, hep-th/9612121
- "Large N Field Theories, String Theory and Gravity," O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, Y. Oz, hep-th/9905111
- "TASI Lectures on M Theory Phenomenology," Michael Dine, hep-th/0003175
- "TASI Lectures: Introduction to the AdS/CFT Correspondence," Igor R. Klebanov, hep-th/0009139
- "TASI lectures on black holes in string theory," Amanda W. Peet, hep-th/0008241

While here the latest (maybe getting into the usual trend by now...) feature of Brane-models and (large!?) Extra Dimensions can be explored:

- "Branes for Relativists," Jiro Soda, gr-qc/0108046
- "D-Brane Primer," Clifford V. Johnson, hep-th/0007170
- "TASI Lectures on D-Branes," Joseph Polchinski, hep-th/9611050
- "Large and infinite extra dimensions," V. A. Rubakov, hep-ph/0104152
- "Brane worlds," Rainer Dick, hep-th/0105320
- "Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity," Nima Arkani-Hamed, Savas Dimopoulos, and Gia Dvali, hep-ph/9807344
- "Particle Physics Probes Of Extra Spacetime Dimensions," JoAnne Hewett and Maria Spiropulu, hep-ph/0205106
- "Brane cosmology: an introduction," David Langlois, hep-th/0209261
- A primer on the ekpyrotic scenario by Syksy Rasanen
- An Introduction to T-Duality in String Theory by E. Alvarez
- Introduction to Duality by Amit Giveon and Martin Rocek
- Introduction to branes and M-theory for relativists and cosmologists by Nobuyoshi Ohta
- An Introduction to the Quantum Supermembrane by Arundhati Dasgupta, Hermann Nicolai and Jan Plefka
- M(atrix) Theory : a Pedagogical Introduction by Adel Bilal
- Introduction to Non-perturbative String Theory by Elias Kiritsis
- Introduction to D-branes by Larus Thorlacius
- An Introduction to Superstring Theory and its Duality Symmetries by Nathan Berkovits

An incomplete list of mathematical items for the new theories above can be found below:

- "An Elementary Introduction to Groups and Representations," Brian C. Hall, math-ph/0005032
- "Semi-Simple Lie Algebras and their Representations," Robert Cahn, postscript (via html)
- Fibre bundle formulation of nonrelativistic quantum mechanics: I. by Bozhidar Z. Iliev
- Non commutative geometry for outsiders; an elementary introduction to motivations and tools by Daniela Bigatti
- Pedagogical Introduction to Hamiltonian BRST formalism by Naohisa Ogawa
- Supersymmetric quantum theory, non-commutative geometry, and gravitation by J. Froehlich, O. Grandjean and A. Recknagel
- Introduction to M(atrix) theory and noncommutative geometry by A. Konechny and A. Schwarz
- An Introduction to Noncommutative Spaces and their Geometry by Giovanni Landi

Below, you will find a selection of both interesting and relevant references in quantum gravity and (supersymmetric/superstring) quantum cosmology:

- Stochastic Gravity: A Primer with Applications by B. L. Hu and E. Verdaguer
- Loop quantum gravity and quanta of space: a primer by Carlo Rovelli and Peush Upadhya
- A TALE OF TWO SYMMETRIES OR: THE QUANTUM UNIVERSE FROM SUPERSYMMETRY AND DUALITY by P.V. Moniz
- SUPERSYMMETRIC QUANTUM COSMOLOGY: SHAKEN NOT STIRRED. by P.V. Moniz
- Introduction to the Effective Field Theory Description of Gravity by John F. Donoghue
- A Simple/Short Introduction to Pre-Big-Bang Physics/Cosmology by G. Veneziano
- Elementary introduction to pre-big bang cosmology and to the relic graviton background by M. Gasperini
- Introduction to Modern Canonical Quantum General Relativity by Thomas Thiemann
- An introduction to quantum cosmology by D.L. Wiltshire
- The quantization of gravity - an introduction by David Wallace
- Knot theory and quantum gravity in loop space: a primer by Jorge Pullin

... and, so, if you are interested, available and eager to dedicate (a great!) deal of your time to any of the above suggestive ideas, do use one of the possible ways to contact me as indicated in my homepage!