School on Fundamental Aspects of String Theory
Start time: May 23, 2016
Ends on: May 30, 2016
Location: São Paulo, Brazil
Venue: IFTUNESP
Organizers:
 Nathan Berkovits (ICTPSAIFR & IFTUNESP, Brazil)
 Carmen Núñez (Universidad de Buenos Aires, Argentina)
Lecturers:
 Rajesh Gopakumar (ICTSBangalore, India): Topological strings II
 Kumar Narain (ICTPTrieste, Italy): Topological strings I
 Martin Schnabl (Institute of Physics AS CR – Prague, Czech Republic): String field theory
 Ashoke Sen (HarishChandra Research Institute – Allahabad, India): Superstring perturbation theory
 Barton Zwiebach (Massachusetts Institute of Technology, USA): Double field theory
Description:
This 8day school on fundamental aspects of string theory will cover advanced topics including superstring field theory, double field theory, topological strings, and duality symmetries. Participants will be assumed to be familiar with quantum field theory, supersymmetry and basic properties of bosonic string and superstring theory. Limited funds are available for travel and local expenses of participants, and preference will be given to PhD students.
This school will be followed by the VIII Workshop on String Field Theory and Related Aspects. Candidates may apply either for one or both activities.
Announcement
Satisfaction Survey:
Photos:
School Program: updated on May 5
Click on the (video) to watch the videos and and (notes) to download the lecture files
May 2325,2016
Monday 
Tuesday 
Wednesday 

9:30 – 10:30 
Registration 

10:30 – 11:45 
Lecture 1: Kumar Narain (video) 
9:45 – 11:00 
9:45 – 11:00 
Lecture 3: Kumar Narain (video) 

11:45 – 12:15 
COFFEE BREAK 
11:00 – 11:30 
COFFEE BREAK 
11:00 – 11:30 
COFFEE BREAK 
12:15 – 13:30 
11:30 – 12:45 
Lecture 2: Ashoke Sen (video) 
11:30 – 12:45 
Lecture 2: Martin Schnabl (video) 

13:30 – 15:00 
LUNCH 
12:45 – 14:15 
LUNCH 
12:45 – 14:00 
LUNCH 
15:00 – 16:15 
Lecture 1: Martin Schnabl (video) 
14:15 – 15:30 
Lecture 1: Barton Zwiebach (video) 
14:00 – 15:30 

16:15 – 16:30 
COFFEE BREAK 
15:30 – 15:45 
COFFEE BREAK 
15:30 – 15:45 
COFFEE BREAK 
16:30 – 17:30 
Discussion session 
15:45 – 16:45 
Discussion session 
15:45 – 17:00 
Lecture 2: Barton Zwiebach (video) 
17:45 – 19:00 
Homework session 
16:45 – 17:00 
COFFEE BREAK 
17:00 – 18:00 
Discussion session 
17:00 – 19:00 
Homework session 
18:15 – 19:00 
Homework session 
May 2630,2016

Thursday 
Friday 
Saturday 
Monday 
9:45 – 11:00 
Lecture 3: Martin Schnabl (video) 
Lecture 4: Martin Schnabl (video) 
Lecture 5: Martin Schnabl (video) 
Lecture 5: Barton Zwiebach 
11:00 – 11:30 
COFFEE BREAK 
COFFEE BREAK 
COFFEE BREAK 
COFFEE BREAK 
11:30 – 12:45 
Lecture 3: Ashoke Sen (video) 
Lecture 4: Ashoke Sen (video) 
Lecture 4: Barton Zwiebach (video) 
Lecture 5: Ashoke Sen 
12:45 – 14:15 
LUNCH 
LUNCH 
LUNCH 
LUNCH 
14:15 – 15:30 
Lecture 3: Barton Zwiebach (video) 
Lecture 2: Rajesh Gopakumar (video) 
Lecture 3: Rajesh Gopakumar (video) 

15:30 – 15:45 
COFFEE BREAK 
COFFEE BREAK 
COFFEE BREAK 
COFFEE BREAK 
15:45 – 16:45 
Discussion session 
Discussion session 
Discussion session 
Discussion session 
16:45 – 17:00 
COFFEE BREAK 
COFFEE BREAK 
COFFEE BREAK 
COFFEE BREAK 
17:00 – 19:00 
Homework session 
Homework session 
Homework session 
Homework session 
Lecture content and references:
Rajesh Gopakumar: Topological Strings II
Worldsheet definition of Amodel and Bmodel (adjusted according to what Narain covers) – closed and open; Topological Mirror Symmetry; Enumerative geometry and topological strings; String dualities, BPS invariants and Topological Strings; Topological vertex; OpenClosed String Duality for Topological Strings;
References:
1. A Minicourse on topological strings
Marcel Vonk (Uppsala U., Inst. Theor. Phys.). Apr 2005. 120 pp. ePrint: hepth/0504147
2. Enumerative geometry and knot invariants
Marcos Marino (Harvard U., Phys. Dept.). Oct 2002. 69 pp. ePrint: hepth/0210145
3. ChernSimons theory and topological strings
Marcos Marino (CERN). Jun 2004. 46 pp. Published in Rev.Mod.Phys. 77 (2005) 675720 ePrint: hepth/0406005
Kumar Narain: Topological Strings I
I am planning to cover ’93 paper (hepth/9307158) as well as ’95 paper (hepth/9507115) on heterotic side as that will introduce the Schwinger formula which will then set the stage for GopakumarVafa. It will greatly help if participants have already gone through VV (Nucl.Phys. B288 (1987) 357) and VVD(Commun.Math.Phys. 115 (1988) 649690) papers (of course also FriedanMartinecShenker ( Nucl.Phys. B271 (1986) 93165 ) ).
Ashoke Sen: Superstring Perturbation Theory
My lectures will be on dealing with infrared divergences in string theory using string field
theory. The handwritten notes for my 33 lecture graduate course on this topic can be found at
Mritunjay Verma notes (the file size is about 200MB, so it will take a while to download).
Martin Schnabl: String Field Theory
1) SFT – motivation to study; string field; actions; Q and quick review of BRST
2) Witten’s star product, surface states,sliver frame, KBc
3) Analytic solutions (tachyon vacuum, marginal deformations, multibranes)
4) Ellwood conjecture and construction of boundary state
5) Nontrivial BCFT backgrounds and ErlerMaccaferri solution
Good introductory reviews are:
Y. Okawa, “Analytic methods in open string field theory” Prog.Theor.Phys. 128 (2012) 10011060 DOI: 10.1143/PTP.128.1001
W. Taylor, B. Zwiebach, “DBranes, Tachyons, and String Field Theory” http://arxiv.org/abs/hepth/0311017
Barton Zwiebach: Double Field Theory
My lectures will cover Tduality in string theory and the efforts to display
manifestly the associated duality symmetries of lowenergy effective field
theories that arise from string theory. We will show how Double Field
Theory (DFT) provides such formulation and explore the connections with
generalized geometry. We will discuss efforts to include α’ corrections into
the formalism.
Useful references: https://arxiv.org/abs/1109.1782, https://arxiv.org/abs/1309.2977, https://arxiv.org/abs/1510.00005
Additional Information:
List of Confirmed Participants: Updated on May 18
Registration: ALL participants and speakers should register. The registration will be on May 23 at the institute, from 9:30 to 10:30. You can find arrival instructions at http://www.ictpsaifr.org/?page_id=195
Accommodation: Participants and Speakers whose accommodation has been provided by the institute will stay at The Universe Flat. Each participant/speaker, whose accommodation has been provided by the institute, has received the accommodation details individually by email.
Emergency number: 9 8233 8671 (from São Paulo city); +55 11 9 8233 8671 (from abroad), 11 9 8233 8671 (from outside São Paulo).
Ground transportation instructions:
Ground transportation from Guarulhos Airport to The Universe Flat
Ground transportation from Congonhas Airport to the Universe Flat
Ground transportation from The Universe Flat to the institute