P. Candelas, G. Horowitz, A. Strominger, and E. Witten, Nucl. Phys, vol.256, p.46, 1985.

E. Witten, Nucl. Phys, vol.258, p.75, 1985.

M. Dine, V. S. Kaplunovsky, M. Mangano, C. Nappi, and N. Seiberg, Nucl. Phys, vol.259, p.549, 1985.

E. Witten, Nucl. Phys, vol.268, p.79, 1986.

M. S. Green, J. H. Schwarz, and E. Witten, Superstring Theory' Vols. I, 1987.

P. Nath, A. H. Chamseddine, and R. Arnowitt, Phys. Rev, vol.32, p.2348, 1985.

, Phys. Lett, vol.156, p.215, 1985.

R. Arnowitt and P. Nath, Phys. Rev, vol.40, p.191, 1989.

S. Kalara and R. N. Mohapatra, Phys. Rev, vol.36, p.3474, 1987.

P. Nath and R. Arnowitt, Phys. Lett, vol.287, p.3282, 1992.

R. Arnowitt and P. Nath, Phys. Rev. Lett, vol.62, p.2225, 1989.

, Phys. Lett, vol.287, p.3282, 1992.

R. Arnowitt and P. Nath, Phys. Rev, vol.49, p.1479, 1994.

J. Wu and R. Arnowitt, Phys. Rev, vol.49, p.4931, 1994.

P. Horava and E. Witten, Nucl. Phys, vol.460, p.506, 1996.

, Nucl. Phys, vol.475, p.94, 1996.

E. Witten, Nucl. Phys, vol.471, p.135, 1996.

J. D. Lykken, Phys. Rev, vol.54, p.3693, 1996.

E. Caceres, V. S. Kaplunovsky, and I. M. Mandelberg, Nucl. Phys, vol.493, p.73, 1997.

A. Lukas, B. A. Ovrut, and D. Waldram, Phys. Rev, vol.59, p.106005, 1999.

G. Aldazabal, A. Font, L. E. Ibanez, and A. M. Uranga, Nucl. Phys, vol.452, p.3, 1995.

Z. Kakushadze, G. Shiu, S. H. Henry-tye, and Y. Vtorov-karevsky, Int. J. Mod. Phys, vol.13, p.2551, 1998.

, Phys. Lett, vol.408, p.173, 1997.

Z. Kakushadze and S. H. Tye, Phys. Rev, vol.55, p.7896, 1997.

Z. Kakushadze and S. H. Tye, Phys. Lett, vol.392, p.335, 1997.

J. C. Pati, Phys. Lett, vol.388, p.532, 1996.

J. Ellis, A. E. Faraggi, and D. V. Nanopoulos, Phys. Lett, vol.419, p.121, 1998.

A. E. Faraggi, Nucl. Phys, vol.428, p.111, 1994.

J. D. Lykken, E. Poppitz, and S. Trivedi,

G. Shiu and S. H. Henry-tye, Phys. Rev, vol.58, p.106007, 1998.

Z. Kakushadze, Phys. Rev, vol.58, p.101901, 1998.

Z. Kakushadze, Phys. Lett, vol.434, p.269, 1998.

Z. Kakushadze and T. R. Taylor, Nucl. Phys, vol.562, p.78, 1999.

J. D. Breit, B. A. Ovrut, and G. Segré, Phys. Lett, vol.158, p.33, 1985.

V. S. Kaplunovsky, Nucl. Phys, vol.307, p.147, 1988.

, Nucl. Phys, vol.382, issue.E, p.436, 1992.

E. Witten,

B. S. Acharya,

B. S. Acharya and E. Witten,

M. Atiyah and E. Witten, Adv.Theor.Math.Phys, vol.6, p.1, 2003.

T. Friedman and E. Witten, Adv.Theor.Math.Phys, vol.7, p.577, 2003.

B. S. Acharya and S. Gukov, Phys. Rep, vol.392, 2004.

I. R. Klebanov and E. Witten, Nucl. Phys, vol.664, 2003.

S. Weinberg, Phys. Rev. Lett, vol.43, p.1566, 1979.

, Phys. Rev, vol.22, p.1694, 1980.

F. Wilczek and A. Zee, Phys. Rev. Lett, vol.43, p.1571, 1979.

, Phys. Lett, vol.88, p.311, 1979.

J. Polchinski, String Theory" Vols. I, II, 1998.

M. R. Garousi and R. C. Myers, Nucl. Phys, vol.475, 1996.

, Nucl. Phys, vol.542, p.73, 1999.

, JHEP, vol.0011, p.32, 2000.

S. S. Gubser, A. Hashimoto, I. R. Klebanov, and J. M. Maldacena,

A. Hashimoto and I. R. Klebanov, Nucl. Phys. Proc. Suppl, vol.55, p.118, 1997.

M. Bershadsky and A. , Int. J. Mod. Phys, vol.2, p.165, 1987.

L. J. Dixon, D. Friedan, E. J. Martinec, and S. H. Shenker, Nucl. Phys, vol.282, p.13, 1987.

L. J. Dixon and ;. Furlan, Superstrings, unified theories and cosmology, Trieste Summer Workshop, 1987.

J. Cohn, D. Friedan, Z. Qiu, and S. Senker, Nucl. Phys, vol.278, p.577, 1986.

A. B. Zamolodchikov, Nucl. Phys, vol.285, p.481, 1987.

T. T. Bürwick, R. K. Kaiser, and H. F. Müller, Nucl. Phys, vol.355, p.689, 1991.

S. Stieberger, D. Jungnickel, J. Lauer, and M. Spalinski, Mod. Phys. Lett, vol.7, p.3059, 1992.

J. Erler, D. Jungnickel, M. Spalinski, and S. Stieberger, Nucl. Phys, vol.397, p.379, 1993.

S. Stieberger, Phys. Lett, vol.300, p.347, 1993.

J. Casas, F. Gomez, and C. Munoz, Int. J. Mod. Phys, vol.8, p.455, 1993.

D. Bailin, A. Love, and W. A. Sabra, Nucl. Phys, vol.403, p.265, 1993.

D. Bailin and A. Love, Phys. Rep, vol.315, p.285, 1999.

A. Hashimoto, Nucl. Phys, vol.496, p.243, 1997.

E. Gava, K. S. Narain, and M. H. Sarmadi, Nucl. Phys, vol.504, 1997.

J. Frölich, O. Grandjean, A. Recknagel, and V. Schomerus, Nucl. Phys, vol.583, p.381, 2000.

I. Antoniadis, K. Benakli, and A. Laugier, JHEP, vol.0105, p.44, 2001.

M. Cvetic and I. Papadimitriou, ADD Erratum, vol.68, p.29903, 2003.

S. A. Abel and A. W. Owen, Nucl. Phys, vol.663, 2003.

N. T. Jones and S. H. Tye,

D. Lüst, P. Mayr, R. Richter, and S. Stieberger,

I. Antoniadis and M. Tuckmantel,

M. Chemtob,

M. Billo, M. Frau, F. Fucito, A. Lerda, A. Liccardo et al., JHEP, vol.0302, p.45, 2003.

M. Bertolini, M. Billo, A. Lerda, J. F. Morales, and R. Russo, Nucl. Phys, vol.743, issue.200, p.1

R. Russo and S. Sciuto,

M. Berkooz, M. R. Douglas, and R. G. Leigh, Nucl. Phys, vol.480, p.265, 1996.

V. Balasubramanian and R. G. Leigh, Phys. Rev, vol.55, p.6415, 1997.

H. Arfaei and M. M. Sheikh-jabbari, Phys. Lett, vol.394, p.288, 1997.

M. M. Sheikh-jabbari, Phys. Lett, vol.420, p.279, 1998.

C. Bachas, A Way to Break Supersymmetry

C. Angelantonj, I. Antoniadis, E. Dudas, and A. Sagnotti, Phys. Lett, vol.489, p.223, 2000.

E. Witten, Phys. Lett, vol.149, p.351, 1984.

G. Aldazabal, S. Franco, L. E. Ibanez, R. Rabadan, and A. M. Uranga, J. Math. Phys, vol.42, p.3103, 2001.

, JHEP, vol.0102, p.47, 2001.

A. M. Uranga,

L. E. Ibanez, F. Marchesano, and R. Rabadan, JHEP, vol.0111, p.2, 2001.

D. Cremades, L. E. Ibanez, and F. Marchesano, JHEP, vol.0207, p.22, 2002.

, JHEP, vol.0207, p.9, 2002.

D. Cremades, L. E. Ibanez, and F. Marchesano,

, JHEP, vol.0307, p.38, 2003.

D. Cremades, L. E. Ibanez, and F. Marchesano, Nucl. Phys, vol.643, 2002.

D. Cremades, L. E. Ibanez, and F. Marchesano,

C. Kokorelis,

C. Kokorelis, JHEP, vol.0211, p.27, 2002.

, JHEP, vol.0208, p.18, 2002.

C. Kokorelis, JHEP, vol.0209, p.29, 2002.

, Nucl. Phys, vol.677, 2004.

R. Blumenhagen, L. Görlich, and B. Körs, Nucl. Phys. B, vol.569, p.209, 2000.

R. Blumenhagen, L. Görlich, and B. Körs,

R. Blumenhagen, L. Görlich, and B. Körs, JHEP, vol.0001, p.40, 2000.

R. Blumenhagen, B. Körs, and D. Lüst, JHEP, vol.0102, p.30, 2001.

R. Blumenhagen, L. Görlich, B. Körs, and D. Lüst, Nucl. Phys, vol.582, p.44, 2000.

R. Blumenhagen, L. Görlich, B. Körs, and D. Lüst, JHEP, vol.0010, p.6, 2000.

R. Blumenhagen, B. Körs, D. Lüst, and T. Ott, Nucl. Phys. B, vol.616, p.3, 2001.

R. Blumenhagen, B. Körs, D. Lüst, and T. Ott, Fortsch. Phys, vol.50, 2002.

M. Cvetic, G. Shiu, and A. M. Uranga, Nucl. Phys. B, vol.615, p.3, 2001.

M. Cvetic, G. Shiu, and A. M. Uranga, Phys. Rev. Lett, vol.87, p.201801, 2001.

M. Cvetic, I. Papadimitriou, and G. Shiu,

M. Cvetic and I. Papadimitriou, Phys. Rev, vol.67, p.126006, 2003.

M. Cvetic, T. Li, and T. Liu,

M. Cvetic, P. Langacker, and J. Wang,

M. Cvetic, P. Langacker, T. Li, and T. Liu,

R. Blumenhagen, M. Cvetic, and T. Weigand,

M. Cvetic and P. Langacker,

R. Blumenhagen, M. Cvetic, P. Langacker, and G. Shiu,

S. Förste, G. Honecker, and R. Schreyer, Nucl. Phys, vol.593, 2001.

, JHEP, vol.0106, p.4, 2001.

G. Honecker,

, JHEP, vol.0201, p.25, 2002.

J. Ellis, P. Kanti, and D. Nanopoulos, Nucl. Phys, vol.647, p.235, 2002.

R. Blumenhagen, L. Görlich, and T. Ott, JHEP, vol.0301, p.21, 2003.

R. Blumenhagen, V. Braun, B. Körs, and D. Lüst,

R. Blumenhagen, J. P. Conlon, and K. Suruliz, JHEP, vol.0407, p.22, 2004.

G. Honecker, Nucl. Phys, vol.666, 2003.

G. Honecker and T. Ott,

M. Axenides, E. Floratos, and C. Kokorelis, JHEP, vol.0310, p.6, 2003.

C. Kokorelis,

C. G. Callan, C. Lovelace, C. R. Nappi, and S. A. Yost, Nucl. Phys, vol.288, p.525, 1987.

A. Abouelsaood, C. G. Callan, C. R. Nappi, and S. A. Yost, Nucl. Phys, vol.280, p.599, 1987.

C. Bachas and M. Porrati, Phys. Lett, vol.296, p.77, 1992.

N. Seiberg and E. Witten, JHEP, vol.9909, p.32, 1999.

A. Giveon, M. Porrati, and E. Rabinovici, Phys. Rep, vol.244, p.77, 1994.

K. Becker, M. Becker, and A. Strominger, Nucl. Phys, vol.456, 1995.

D. Joyce,

N. Ohta and P. K. Townsend, Phys. Lett, vol.418, p.77, 1998.

C. V. Johnson, D-brane primer, TASI on 'Strings, branes and gravity, 1999.

A. Giveon and D. Kutasov, Rev. Mod. Phys, vol.71, p.983, 1999.

F. Epple and D. Lüst,

F. Epple,

R. Rabadan, Nucl. Phys, vol.620, p.152, 2002.

M. Mihailescu, I. Y. Park, and T. A. Tran, Phys. Rev, vol.64, p.46006, 2001.

E. Witten, JHEP, vol.0204, p.12, 2002.

R. Blumenhagen, V. Braun, and R. Helling,

N. Ohta and J. G. Zhou, Phys. Lett, vol.418, p.70, 1998.

V. A. Kostelecky, O. Lechtenfeld, W. Lerche, S. Samuel, and S. Watamura, Nucl. Phys, vol.288, p.173, 1987.

V. A. Kostelecky, O. Lechtenfeld, S. Samuel, D. Verstegen, and S. Watamura, Phys. Lett, vol.183, p.299, 1987.

T. Higaki, N. Kitazawa, T. Kobayashi, and K. Takahashi, Phys. Rev, vol.72, p.86003, 2005.

C. Angelantonj and R. Blumenhagen, Phys. Lett, vol.473, p.86, 2000.

C. Angelantonj, M. Cardella, and N. Irges,

V. A. Kuzmin, JETP Lett, vol.12, p.228, 1970.

R. N. Mohapatra and R. E. Marshak, Phys. Rev. Lett, vol.44, p.1316, 1980.

R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett, vol.49, p.7, 1982.

P. Svrcek and E. Witten,

P. Burikham,

N. Kitazawa,

N. Kitazawa, T. Kobayashi, N. Maru, and N. Okada,

S. Abel and M. D. Goodsell,

B. Dutta and Y. Mimura,

B. Acharya and R. Valandro,

M. Cvetic and R. Richter,

D. Lüst and S. Stieberger,

R. Blumenhagen, D. Lüst, and S. Stieberger,

D. Lüst,

H. Kawai, D. C. Lewellen, and S. H. Tye, Nucl. Phys, vol.269, p.1, 1986.

P. Langacker, Phys. Rep. C, vol.72, p.185, 1981.

P. Nath and P. F. Perez,

L. Hall and Y. Nomura,

W. Buchmüller, L. Covi, D. Emmanuel-costa, and S. Wiesenfeldt,

S. Wiesenfeldt, Mod. Phys. Lett, vol.19, p.2155, 2004.

T. Appelquist, B. A. Dobrescu, E. Pontón, and H. Yee,

J. Hisano, H. Murayama, and T. Yanagida, Nucl. Phys, vol.402, 1993.

S. Raby,

H. Murayama and P. Pierce,

K. S. Babu and S. M. Barr,

C. Csaki and L. Randall,

M. Goodman and E. Witten, Nucl. Phys, vol.271, p.21, 1986.

E. Witten,

M. Dine, Y. Nir, and Y. Shadmi,

H. Murayama and D. B. Kaplan, Phys. Lett, vol.336, p.221, 1994.

K. S. Babu and M. Strassler,

R. Harnik, D. T. Larson, H. Murayama, and M. Thormeier,

S. Rao and R. Schrock, Phys. Lett, vol.116, p.238, 1982.

J. C. Pati and A. Salam, Phys. Rev, vol.10, p.275, 1974.

K. S. Babu and R. N. Mohapatra, Phys. Lett, vol.518, p.269, 2001.

Z. Chacko and R. N. Mohapatra, Phys. Rev, vol.59, p.55004, 1999.

B. Dutta, Y. Mimura, and R. N. Mohapatra,

, 15) for the four fermion string amplitude in the large radius limit as a function of the brane intersection angles in the equal angle case ? = ? ? . The left hand panel (a) shows, for the case with three equal angles, a plot of I(?) versus the common angle, ? = ? 1 = ? 2 = ? 3 . The right hand panel (b) shows, for the case with two equal angles, plots of I(?, ?, ? 3 ) versus ? 3 , at three values of the two equal angles, Plot of the x-integral I(?) defined in Eq. (IV