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 |
|---|---|---|---|---|---|---|---|---|---|
| 50867 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ | 0.6731 | 0.854 | 0.7881 | [X:[], M:[1.1481, 0.7221, 0.8519, 0.8087, 0.6789, 0.8087], q:[0.4043, 0.4476], qb:[0.8736, 0.7438], phi:[0.3827]] | [X:[], M:[[12], [18], [-12], [-2], [28], [-2]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_2$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_3$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_5^2$, $ M_2M_5$, $ M_2^2$, $ M_5\phi_1^2$, $ M_4M_5$, $ M_5M_6$, $ M_2\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ M_2M_6$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_5\phi_1q_1q_2$, $ M_1M_4$, $ M_1M_6$, $ M_5\phi_1q_2^2$ | $\phi_1^3q_1q_2$ | 0 | t^2.04 + t^2.17 + t^2.3 + 2*t^2.43 + t^2.56 + t^3.44 + t^3.7 + t^3.83 + t^4.07 + t^4.2 + 2*t^4.33 + 3*t^4.46 + 4*t^4.59 + 3*t^4.72 + 5*t^4.85 + 2*t^4.98 + t^5.11 + t^5.48 + t^5.61 + t^5.74 + 2*t^5.87 + t^6.11 + t^6.13 + t^6.24 + 2*t^6.26 + 2*t^6.37 + t^6.39 + 4*t^6.5 + 5*t^6.63 + 6*t^6.76 + 9*t^6.89 + 7*t^7.02 + 6*t^7.15 + 6*t^7.28 + 2*t^7.41 + t^7.52 + t^7.54 + t^7.65 + t^7.67 + 2*t^7.78 + 2*t^7.91 + t^8.04 + t^8.15 - t^8.17 + t^8.28 + t^8.3 + 2*t^8.41 - 4*t^8.43 + 4*t^8.54 - t^8.56 + 6*t^8.67 + t^8.69 + 7*t^8.8 + t^8.82 + 12*t^8.93 + t^8.95 - t^4.15/y - t^6.18/y - t^6.31/y - t^6.44/y - (2*t^6.57)/y + t^7.2/y + t^7.33/y + (3*t^7.46)/y + (3*t^7.59)/y + (5*t^7.72)/y + (3*t^7.85)/y + (3*t^7.98)/y + t^8.11/y - t^8.22/y - t^8.35/y - t^8.48/y - (2*t^8.61)/y - t^8.74/y + (2*t^8.87)/y - t^4.15*y - t^6.18*y - t^6.31*y - t^6.44*y - 2*t^6.57*y + t^7.2*y + t^7.33*y + 3*t^7.46*y + 3*t^7.59*y + 5*t^7.72*y + 3*t^7.85*y + 3*t^7.98*y + t^8.11*y - t^8.22*y - t^8.35*y - t^8.48*y - 2*t^8.61*y - t^8.74*y + 2*t^8.87*y | g1^28*t^2.04 + g1^18*t^2.17 + g1^8*t^2.3 + (2*t^2.43)/g1^2 + t^2.56/g1^12 + g1^12*t^3.44 + t^3.7/g1^8 + t^3.83/g1^18 + g1^56*t^4.07 + g1^46*t^4.2 + 2*g1^36*t^4.33 + 3*g1^26*t^4.46 + 4*g1^16*t^4.59 + 3*g1^6*t^4.72 + (5*t^4.85)/g1^4 + (2*t^4.98)/g1^14 + t^5.11/g1^24 + g1^40*t^5.48 + g1^30*t^5.61 + g1^20*t^5.74 + 2*g1^10*t^5.87 + g1^84*t^6.11 + t^6.13/g1^10 + g1^74*t^6.24 + (2*t^6.26)/g1^20 + 2*g1^64*t^6.37 + t^6.39/g1^30 + 4*g1^54*t^6.5 + 5*g1^44*t^6.63 + 6*g1^34*t^6.76 + 9*g1^24*t^6.89 + 7*g1^14*t^7.02 + 6*g1^4*t^7.15 + (6*t^7.28)/g1^6 + (2*t^7.41)/g1^16 + g1^68*t^7.52 + t^7.54/g1^26 + g1^58*t^7.65 + t^7.67/g1^36 + 2*g1^48*t^7.78 + 2*g1^38*t^7.91 + g1^28*t^8.04 + g1^112*t^8.15 - g1^18*t^8.17 + g1^102*t^8.28 + g1^8*t^8.3 + 2*g1^92*t^8.41 - (4*t^8.43)/g1^2 + 4*g1^82*t^8.54 - t^8.56/g1^12 + 6*g1^72*t^8.67 + t^8.69/g1^22 + 7*g1^62*t^8.8 + t^8.82/g1^32 + 12*g1^52*t^8.93 + t^8.95/g1^42 - (g1^4*t^4.15)/y - (g1^32*t^6.18)/y - (g1^22*t^6.31)/y - (g1^12*t^6.44)/y - (2*g1^2*t^6.57)/y + (g1^46*t^7.2)/y + (g1^36*t^7.33)/y + (3*g1^26*t^7.46)/y + (3*g1^16*t^7.59)/y + (5*g1^6*t^7.72)/y + (3*t^7.85)/(g1^4*y) + (3*t^7.98)/(g1^14*y) + t^8.11/(g1^24*y) - (g1^60*t^8.22)/y - (g1^50*t^8.35)/y - (g1^40*t^8.48)/y - (2*g1^30*t^8.61)/y - (g1^20*t^8.74)/y + (2*g1^10*t^8.87)/y - g1^4*t^4.15*y - g1^32*t^6.18*y - g1^22*t^6.31*y - g1^12*t^6.44*y - 2*g1^2*t^6.57*y + g1^46*t^7.2*y + g1^36*t^7.33*y + 3*g1^26*t^7.46*y + 3*g1^16*t^7.59*y + 5*g1^6*t^7.72*y + (3*t^7.85*y)/g1^4 + (3*t^7.98*y)/g1^14 + (t^8.11*y)/g1^24 - g1^60*t^8.22*y - g1^50*t^8.35*y - g1^40*t^8.48*y - 2*g1^30*t^8.61*y - g1^20*t^8.74*y + 2*g1^10*t^8.87*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 56084 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1M_7$ | 0.6864 | 0.8761 | 0.7835 | [X:[], M:[1.1575, 0.7363, 0.8425, 0.8071, 0.7008, 0.8071, 0.8425], q:[0.4035, 0.439], qb:[0.8602, 0.754], phi:[0.3858]] | t^2.1 + t^2.21 + t^2.32 + 2*t^2.42 + 2*t^2.53 + t^3.68 + t^3.79 + t^4.21 + t^4.31 + 2*t^4.42 + 3*t^4.52 + 5*t^4.63 + 4*t^4.74 + 6*t^4.84 + 4*t^4.95 + 3*t^5.05 - t^6. - t^4.16/y - t^4.16*y | detail | |
| 56059 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2M_5$ | 0.5899 | 0.753 | 0.7835 | [X:[], M:[1.3043, 0.9565, 0.6957, 0.7826, 1.0435, 0.7826], q:[0.3913, 0.3043], qb:[0.6522, 0.913], phi:[0.4348]] | t^2.09 + 2*t^2.35 + t^2.61 + t^2.87 + 2*t^3.13 + t^3.39 + t^3.91 + t^4.17 + 2*t^4.43 + 5*t^4.7 + 3*t^4.96 + 5*t^5.22 + 5*t^5.48 + 3*t^5.74 + t^6. - t^4.3/y - t^4.3*y | detail | {a: 14355/24334, c: 36645/48668, M1: 30/23, M2: 22/23, M3: 16/23, M4: 18/23, M5: 24/23, M6: 18/23, q1: 9/23, q2: 7/23, qb1: 15/23, qb2: 21/23, phi1: 10/23} |
| 56058 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_5^2$ | 0.6074 | 0.7726 | 0.7862 | [X:[], M:[1.2857, 0.9286, 0.7143, 0.7857, 1.0, 0.7857], q:[0.3929, 0.3214], qb:[0.6786, 0.8929], phi:[0.4286]] | t^2.14 + 2*t^2.36 + t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.43 + t^3.86 + t^4.29 + 2*t^4.5 + 5*t^4.71 + 3*t^4.93 + 4*t^5.14 + 4*t^5.36 + 4*t^5.57 + 2*t^5.79 + t^6. - t^4.29/y - t^4.29*y | detail | {a: 53337/87808, c: 67841/87808, M1: 9/7, M2: 13/14, M3: 5/7, M4: 11/14, M5: 1, M6: 11/14, q1: 11/28, q2: 9/28, qb1: 19/28, qb2: 25/28, phi1: 3/7} |
| 56085 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_7\phi_1q_1q_2$ | 0.6915 | 0.8877 | 0.779 | [X:[], M:[1.1442, 0.7162, 0.8558, 0.8093, 0.6697, 0.8093, 0.7628], q:[0.4047, 0.4512], qb:[0.8791, 0.7395], phi:[0.3814]] | t^2.01 + t^2.15 + 2*t^2.29 + 2*t^2.43 + t^2.57 + t^3.43 + t^3.85 + t^4.02 + t^4.16 + 3*t^4.3 + 4*t^4.44 + 6*t^4.58 + 5*t^4.72 + 6*t^4.86 + 2*t^5. + t^5.14 + t^5.44 + t^5.58 + t^5.72 + t^5.86 - t^6. - t^4.14/y - t^4.14*y | detail | |
| 56083 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_7\phi_1^2$ | 0.6548 | 0.8208 | 0.7978 | [X:[], M:[1.1522, 0.7283, 0.8478, 0.808, 0.6885, 0.808, 1.2318], q:[0.404, 0.4438], qb:[0.8677, 0.7482], 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 |
|---|---|---|---|---|---|---|---|---|---|
| 48168 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ | 0.6733 | 0.8548 | 0.7876 | [X:[], M:[1.1492, 0.7116, 0.8508, 0.8206, 0.6814, 0.7963], q:[0.4103, 0.4405], qb:[0.8781, 0.7389], phi:[0.3831]] | t^2.04 + t^2.13 + t^2.3 + t^2.39 + t^2.46 + t^2.55 + t^3.45 + t^3.7 + t^3.79 + t^4.09 + t^4.18 + t^4.27 + t^4.34 + 2*t^4.43 + t^4.51 + t^4.52 + 3*t^4.6 + 2*t^4.69 + t^4.76 + t^4.78 + 3*t^4.85 + t^4.92 + t^4.94 + t^5.01 + t^5.1 + t^5.49 + t^5.58 + t^5.75 + 2*t^5.84 + t^5.93 - t^6. - t^4.15/y - t^4.15*y | detail |