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 |
|---|---|---|---|---|---|---|---|---|---|
| 4463 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6754 | 0.9209 | 0.7334 | [X:[], M:[0.9222, 1.2333, 0.7667, 0.7667, 0.6944, 0.7667, 0.8499, 0.7667], q:[0.7306, 0.3472], qb:[0.3472, 0.4196], phi:[0.5389]] | [X:[], M:[[4], [-12], [12], [12], [-10], [12], [-18], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ M_3$, $ M_4$, $ M_6$, $ M_8$, $ q_2\tilde{q}_2$, $ M_7$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3M_5$, $ M_4M_5$, $ M_5M_6$, $ M_5M_8$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_8q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_6^2$, $ M_3M_8$, $ M_4M_8$, $ M_6M_8$, $ M_8^2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_8q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_7$, $ M_7q_2\tilde{q}_1$, $ M_1M_5$, $ M_3M_7$, $ M_4M_7$, $ M_6M_7$, $ M_7M_8$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_1M_3$, $ M_1M_4$, $ M_1M_6$, $ M_1M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_7^2$, $ M_1M_7$, $ M_5\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_8\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ M_8q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$ | $M_5\phi_1\tilde{q}_1\tilde{q}_2$ | -3 | 2*t^2.08 + 5*t^2.3 + t^2.55 + t^2.77 + 2*t^3.23 + t^3.92 + t^4.13 + 3*t^4.17 + 10*t^4.38 + 15*t^4.6 + 2*t^4.63 + 7*t^4.85 + 5*t^5.07 + t^5.1 + 5*t^5.32 + 10*t^5.53 - 3*t^6. + 4*t^6.22 + 4*t^6.25 + 5*t^6.43 + 14*t^6.47 + 29*t^6.68 + 3*t^6.72 + 35*t^6.9 + 10*t^6.93 + 21*t^7.15 + 2*t^7.18 + 15*t^7.37 + 10*t^7.4 + 17*t^7.62 + t^7.65 + 25*t^7.83 + t^7.87 + t^8.05 - 7*t^8.08 + t^8.27 - 18*t^8.3 + 5*t^8.33 + 10*t^8.52 + 11*t^8.55 + 15*t^8.73 + 30*t^8.77 + 4*t^8.8 + 63*t^8.98 - t^4.62/y - t^6.7/y - (3*t^6.92)/y + (10*t^7.38)/y + (10*t^7.6)/y + (2*t^7.63)/y + (7*t^7.85)/y + (6*t^8.07)/y + (8*t^8.32)/y + (11*t^8.53)/y + t^8.78/y - t^4.62*y - t^6.7*y - 3*t^6.92*y + 10*t^7.38*y + 10*t^7.6*y + 2*t^7.63*y + 7*t^7.85*y + 6*t^8.07*y + 8*t^8.32*y + 11*t^8.53*y + t^8.78*y | (2*t^2.08)/g1^10 + 5*g1^12*t^2.3 + t^2.55/g1^18 + g1^4*t^2.77 + (2*t^3.23)/g1^4 + g1^10*t^3.92 + g1^32*t^4.13 + (3*t^4.17)/g1^20 + 10*g1^2*t^4.38 + 15*g1^24*t^4.6 + (2*t^4.63)/g1^28 + (7*t^4.85)/g1^6 + 5*g1^16*t^5.07 + t^5.1/g1^36 + (5*t^5.32)/g1^14 + 10*g1^8*t^5.53 - 3*t^6. + 4*g1^22*t^6.22 + (4*t^6.25)/g1^30 + 5*g1^44*t^6.43 + (14*t^6.47)/g1^8 + 29*g1^14*t^6.68 + (3*t^6.72)/g1^38 + 35*g1^36*t^6.9 + (10*t^6.93)/g1^16 + 21*g1^6*t^7.15 + (2*t^7.18)/g1^46 + 15*g1^28*t^7.37 + (10*t^7.4)/g1^24 + (17*t^7.62)/g1^2 + t^7.65/g1^54 + 25*g1^20*t^7.83 + t^7.87/g1^32 + g1^42*t^8.05 - (7*t^8.08)/g1^10 + g1^64*t^8.27 - 18*g1^12*t^8.3 + (5*t^8.33)/g1^40 + 10*g1^34*t^8.52 + (11*t^8.55)/g1^18 + 15*g1^56*t^8.73 + 30*g1^4*t^8.77 + (4*t^8.8)/g1^48 + 63*g1^26*t^8.98 - t^4.62/(g1^2*y) - t^6.7/(g1^12*y) - (3*g1^10*t^6.92)/y + (10*g1^2*t^7.38)/y + (10*g1^24*t^7.6)/y + (2*t^7.63)/(g1^28*y) + (7*t^7.85)/(g1^6*y) + (6*g1^16*t^8.07)/y + (8*t^8.32)/(g1^14*y) + (11*g1^8*t^8.53)/y + t^8.78/(g1^22*y) - (t^4.62*y)/g1^2 - (t^6.7*y)/g1^12 - 3*g1^10*t^6.92*y + 10*g1^2*t^7.38*y + 10*g1^24*t^7.6*y + (2*t^7.63*y)/g1^28 + (7*t^7.85*y)/g1^6 + 6*g1^16*t^8.07*y + (8*t^8.32*y)/g1^14 + 11*g1^8*t^8.53*y + (t^8.78*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5969 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_9\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6961 | 0.9605 | 0.7247 | [X:[], M:[0.9228, 1.2315, 0.7685, 0.7685, 0.6929, 0.7685, 0.8473, 0.7685, 0.6929], q:[0.7307, 0.3465], qb:[0.3465, 0.422], phi:[0.5386]] | 3*t^2.08 + 5*t^2.31 + t^2.54 + t^2.77 + 2*t^3.23 + t^4.15 + 6*t^4.16 + 15*t^4.38 + 15*t^4.61 + 3*t^4.62 + 8*t^4.85 + 5*t^5.07 + t^5.08 + 7*t^5.31 + 10*t^5.54 - 5*t^6. - t^4.62/y - t^4.62*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2421 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.6573 | 0.8878 | 0.7404 | [X:[], M:[0.9247, 1.2259, 0.7741, 0.7741, 0.6882, 0.7741, 0.8388], q:[0.7312, 0.3441], qb:[0.3441, 0.43], phi:[0.5376]] | 2*t^2.06 + 4*t^2.32 + t^2.52 + t^2.77 + 2*t^3.23 + t^3.68 + t^3.94 + 3*t^4.13 + t^4.19 + 8*t^4.39 + 2*t^4.58 + 10*t^4.64 + 6*t^4.84 + t^5.03 + 4*t^5.1 + 5*t^5.29 + 8*t^5.55 + 2*t^5.74 + t^6. - t^4.61/y - t^4.61*y | detail |