Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 2898 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6388 | 0.7929 | 0.8057 | [X:[], M:[0.8082, 1.2328, 0.7263, 0.8492, 0.6853, 1.1508], q:[0.7468, 0.4451], qb:[0.4041, 0.8696], phi:[0.3836]] | [X:[], M:[[2], [8], [-18], [12], [-28], [-12]], q:[[-13], [11]], qb:[[1], [17]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_1$, $ M_4$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_5^2$, $ M_3M_5$, $ M_3^2$, $ M_1M_5$, $ M_1M_3$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_1^2$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_3M_6$, $ \phi_1q_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_2M_5$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_2M_3$, $ M_1M_6$, $ M_5\phi_1q_2^2$ | $M_3\phi_1q_2^2$ | 0 | t^2.06 + t^2.18 + t^2.42 + t^2.55 + t^3.45 + t^3.58 + 2*t^3.7 + t^3.82 + t^4.11 + t^4.23 + t^4.36 + t^4.48 + 2*t^4.6 + t^4.73 + 2*t^4.85 + t^4.97 + t^5.09 + t^5.51 + 2*t^5.63 + 2*t^5.75 + 2*t^5.88 + t^6.12 + t^6.17 + 2*t^6.25 + t^6.29 + t^6.37 + t^6.41 + 2*t^6.54 + 2*t^6.66 + 2*t^6.78 + 3*t^6.91 + 2*t^7.03 + 2*t^7.15 + 2*t^7.27 + 2*t^7.4 + t^7.52 + t^7.56 + t^7.64 + 2*t^7.69 + 3*t^7.81 + 2*t^7.93 + t^8.06 + t^8.22 + 2*t^8.3 + t^8.35 - t^8.42 + t^8.47 + 2*t^8.59 + 3*t^8.72 + t^8.79 + 2*t^8.84 + t^8.92 + 4*t^8.96 - t^4.15/y - t^6.21/y - t^6.33/y - t^6.58/y + t^7.23/y + t^7.48/y + (2*t^7.6)/y + (2*t^7.73)/y + (2*t^7.97)/y + t^8.09/y - t^8.26/y - t^8.39/y + t^8.63/y + (2*t^8.75)/y + (4*t^8.88)/y - t^4.15*y - t^6.21*y - t^6.33*y - t^6.58*y + t^7.23*y + t^7.48*y + 2*t^7.6*y + 2*t^7.73*y + 2*t^7.97*y + t^8.09*y - t^8.26*y - t^8.39*y + t^8.63*y + 2*t^8.75*y + 4*t^8.88*y | t^2.06/g1^28 + t^2.18/g1^18 + g1^2*t^2.42 + g1^12*t^2.55 + t^3.45/g1^12 + t^3.58/g1^2 + 2*g1^8*t^3.7 + g1^18*t^3.82 + t^4.11/g1^56 + t^4.23/g1^46 + t^4.36/g1^36 + t^4.48/g1^26 + (2*t^4.6)/g1^16 + t^4.73/g1^6 + 2*g1^4*t^4.85 + g1^14*t^4.97 + g1^24*t^5.09 + t^5.51/g1^40 + (2*t^5.63)/g1^30 + (2*t^5.75)/g1^20 + (2*t^5.88)/g1^10 + g1^10*t^6.12 + t^6.17/g1^84 + 2*g1^20*t^6.25 + t^6.29/g1^74 + g1^30*t^6.37 + t^6.41/g1^64 + (2*t^6.54)/g1^54 + (2*t^6.66)/g1^44 + (2*t^6.78)/g1^34 + (3*t^6.91)/g1^24 + (2*t^7.03)/g1^14 + (2*t^7.15)/g1^4 + 2*g1^6*t^7.27 + 2*g1^16*t^7.4 + g1^26*t^7.52 + t^7.56/g1^68 + g1^36*t^7.64 + (2*t^7.69)/g1^58 + (3*t^7.81)/g1^48 + (2*t^7.93)/g1^38 + t^8.06/g1^28 + t^8.22/g1^112 + (2*t^8.3)/g1^8 + t^8.35/g1^102 - g1^2*t^8.42 + t^8.47/g1^92 + (2*t^8.59)/g1^82 + (3*t^8.72)/g1^72 + g1^32*t^8.79 + (2*t^8.84)/g1^62 + g1^42*t^8.92 + (4*t^8.96)/g1^52 - t^4.15/(g1^4*y) - t^6.21/(g1^32*y) - t^6.33/(g1^22*y) - t^6.58/(g1^2*y) + t^7.23/(g1^46*y) + t^7.48/(g1^26*y) + (2*t^7.6)/(g1^16*y) + (2*t^7.73)/(g1^6*y) + (2*g1^14*t^7.97)/y + (g1^24*t^8.09)/y - t^8.26/(g1^60*y) - t^8.39/(g1^50*y) + t^8.63/(g1^30*y) + (2*t^8.75)/(g1^20*y) + (4*t^8.88)/(g1^10*y) - (t^4.15*y)/g1^4 - (t^6.21*y)/g1^32 - (t^6.33*y)/g1^22 - (t^6.58*y)/g1^2 + (t^7.23*y)/g1^46 + (t^7.48*y)/g1^26 + (2*t^7.6*y)/g1^16 + (2*t^7.73*y)/g1^6 + 2*g1^14*t^7.97*y + g1^24*t^8.09*y - (t^8.26*y)/g1^60 - (t^8.39*y)/g1^50 + (t^8.63*y)/g1^30 + (2*t^8.75*y)/g1^20 + (4*t^8.88*y)/g1^10 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 3473 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1M_7$ | 0.6228 | 0.765 | 0.8141 | [X:[], M:[0.8084, 1.2337, 0.7242, 0.8505, 0.6821, 1.1495, 1.1916], q:[0.7453, 0.4463], qb:[0.4042, 0.8716], phi:[0.3832]] | t^2.05 + t^2.17 + t^2.55 + t^3.45 + 2*t^3.57 + 2*t^3.7 + t^3.83 + t^4.09 + t^4.22 + t^4.35 + t^4.6 + t^4.72 + t^4.85 + t^5.1 + t^5.49 + 3*t^5.62 + 3*t^5.75 + t^5.87 - t^6. - t^4.15/y - t^4.15*y | detail | |
| 3474 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_6M_7$ | 0.6523 | 0.8156 | 0.7998 | [X:[], M:[0.8066, 1.2264, 0.7407, 0.8395, 0.7077, 1.1605, 0.8395], q:[0.7572, 0.4362], qb:[0.4033, 0.856], phi:[0.3868]] | t^2.12 + t^2.22 + t^2.42 + 2*t^2.52 + t^3.58 + 2*t^3.68 + t^3.78 + t^4.25 + t^4.35 + t^4.44 + t^4.54 + 3*t^4.64 + 2*t^4.74 + 2*t^4.84 + 2*t^4.94 + 3*t^5.04 + t^5.7 + 2*t^5.8 + t^5.9 - t^6. - t^4.16/y - t^4.16*y | detail | |
| 3476 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ | 0.6588 | 0.8309 | 0.7928 | [X:[], M:[0.8091, 1.2363, 0.7184, 0.8544, 0.673, 1.1456, 0.7184], q:[0.741, 0.4499], qb:[0.4045, 0.8771], phi:[0.3819]] | t^2.02 + 2*t^2.16 + t^2.43 + t^2.56 + t^3.44 + t^3.57 + 2*t^3.71 + t^4.04 + 2*t^4.17 + 3*t^4.31 + t^4.45 + 3*t^4.58 + 2*t^4.72 + 2*t^4.85 + t^4.99 + t^5.13 + t^5.46 + 3*t^5.59 + 3*t^5.73 + 3*t^5.86 - t^6. - t^4.15/y - t^4.15*y | detail | |
| 3475 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6548 | 0.8208 | 0.7978 | [X:[], M:[0.808, 1.2318, 0.7283, 0.8478, 0.6885, 1.1522, 0.808], q:[0.7482, 0.4438], qb:[0.404, 0.8677], phi:[0.3841]] | t^2.07 + t^2.19 + 2*t^2.42 + t^2.54 + t^3.46 + 2*t^3.7 + t^3.81 + t^4.13 + t^4.25 + t^4.37 + 2*t^4.49 + 3*t^4.61 + t^4.73 + 4*t^4.85 + 2*t^4.97 + t^5.09 + t^5.52 + t^5.64 + t^5.76 + 3*t^5.88 - t^6. - t^4.15/y - t^4.15*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 1883 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.639 | 0.7933 | 0.8056 | [X:[], M:[0.7924, 1.2338, 0.7399, 0.8507, 0.6817, 1.1493], q:[0.7531, 0.4545], qb:[0.3962, 0.8638], phi:[0.3831]] | t^2.04 + t^2.22 + t^2.38 + t^2.55 + t^3.45 + t^3.53 + 2*t^3.7 + t^3.88 + t^4.09 + t^4.26 + t^4.42 + t^4.44 + 2*t^4.6 + t^4.75 + t^4.77 + t^4.85 + t^4.93 + t^5.1 + t^5.49 + t^5.57 + t^5.67 + 2*t^5.75 + t^5.9 + 2*t^5.92 - 2*t^6. - t^4.15/y - t^4.15*y | detail |