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 |
|---|---|---|---|---|---|---|---|---|---|
| 5474 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_2M_6$ + $ M_1X_2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_2M_8$ | 0.5884 | 0.7256 | 0.8109 | [X:[1.2672, 1.4624], M:[0.5376, 1.024, 0.7328, 0.8288, 1.1712, 0.976, 0.7808, 0.976], q:[0.9504, 0.512], qb:[0.3168, 0.6592], phi:[0.3904]] | [X:[[28], [26]], M:[[-26], [10], [-28], [12], [-12], [-10], [-8], [-10]], q:[[21], [5]], qb:[[7], [-17]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_8$, $ M_5$, $ X_1$, $ \phi_1q_2^2$, $ X_2$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_7$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_6M_7$, $ M_7M_8$, $ M_6\phi_1^2$, $ M_8\phi_1^2$, $ M_4M_6$, $ M_4M_8$, $ M_6^2$, $ M_5M_7$, $ M_6M_8$, $ M_8^2$, $ M_5\phi_1^2$ | . | -2 | 2*t^2.34 + t^2.49 + 2*t^2.93 + t^3.51 + t^3.8 + t^4.24 + t^4.39 + 3*t^4.68 + 3*t^4.83 + t^4.97 + 3*t^5.27 + t^5.41 + 4*t^5.86 - 2*t^6. + t^6.14 + t^6.29 + t^6.44 - t^6.59 + 3*t^6.73 + t^6.87 + 4*t^7.03 + 4*t^7.17 + 2*t^7.32 + t^7.6 + 4*t^7.61 + 2*t^7.76 - t^7.9 + t^8.19 + 5*t^8.2 - 3*t^8.34 - 2*t^8.49 + 2*t^8.63 + 2*t^8.77 + 4*t^8.78 - 6*t^8.93 - t^4.17/y - (2*t^6.51)/y - t^7.1/y + t^7.24/y + t^7.68/y + (4*t^7.83)/y + (4*t^8.27)/y + (2*t^8.41)/y - t^4.17*y - 2*t^6.51*y - t^7.1*y + t^7.24*y + t^7.68*y + 4*t^7.83*y + 4*t^8.27*y + 2*t^8.41*y | (2*t^2.34)/g1^8 + g1^12*t^2.49 + (2*t^2.93)/g1^10 + t^3.51/g1^12 + g1^28*t^3.8 + g1^6*t^4.24 + g1^26*t^4.39 + (3*t^4.68)/g1^16 + 3*g1^4*t^4.83 + g1^24*t^4.97 + (3*t^5.27)/g1^18 + g1^2*t^5.41 + (4*t^5.86)/g1^20 - 2*t^6. + g1^20*t^6.14 + g1^40*t^6.29 + t^6.44/g1^22 - t^6.59/g1^2 + 3*g1^18*t^6.73 + g1^38*t^6.87 + (4*t^7.03)/g1^24 + (4*t^7.17)/g1^4 + 2*g1^16*t^7.32 + g1^56*t^7.6 + (4*t^7.61)/g1^26 + (2*t^7.76)/g1^6 - g1^14*t^7.9 + g1^54*t^8.19 + (5*t^8.2)/g1^28 - (3*t^8.34)/g1^8 - 2*g1^12*t^8.49 + 2*g1^32*t^8.63 + 2*g1^52*t^8.77 + (4*t^8.78)/g1^30 - (6*t^8.93)/g1^10 - t^4.17/(g1^4*y) - (2*t^6.51)/(g1^12*y) - t^7.1/(g1^14*y) + (g1^6*t^7.24)/y + t^7.68/(g1^16*y) + (4*g1^4*t^7.83)/y + (4*t^8.27)/(g1^18*y) + (2*g1^2*t^8.41)/y - (t^4.17*y)/g1^4 - (2*t^6.51*y)/g1^12 - (t^7.1*y)/g1^14 + g1^6*t^7.24*y + (t^7.68*y)/g1^16 + 4*g1^4*t^7.83*y + (4*t^8.27*y)/g1^18 + 2*g1^2*t^8.41*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 |
|---|---|---|---|---|---|---|---|---|
| 6922 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_2M_6$ + $ M_1X_2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_2M_8$ + $ M_5M_9$ | 0.6035 | 0.7525 | 0.802 | [X:[1.2335, 1.4311], M:[0.5689, 1.012, 0.7665, 0.8144, 1.1856, 0.988, 0.7904, 0.988, 0.8144], q:[0.9251, 0.506], qb:[0.3084, 0.6797], phi:[0.3952]] | 2*t^2.37 + 2*t^2.44 + 2*t^2.96 + t^3.7 + t^4.22 + t^4.29 + 3*t^4.74 + 5*t^4.81 + 3*t^4.89 + 3*t^5.34 + 3*t^5.41 + 2*t^5.93 - 3*t^6. - t^4.19/y - t^4.19*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3888 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_2M_6$ + $ M_1X_2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.5868 | 0.7236 | 0.811 | [X:[1.2266, 1.4247], M:[0.5753, 1.0095, 0.7734, 0.8114, 1.1886, 0.9905, 0.7924], q:[0.92, 0.5048], qb:[0.3067, 0.6838], phi:[0.3962]] | 2*t^2.38 + t^2.43 + t^2.97 + t^3.03 + t^3.57 + t^3.68 + t^4.22 + t^4.27 + 3*t^4.75 + 3*t^4.81 + t^4.87 + t^5.35 + 2*t^5.41 + t^5.46 + 2*t^5.94 - t^6. - t^4.19/y - t^4.19*y | detail |