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 |
|---|---|---|---|---|---|---|---|---|---|
| 4407 | 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$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_6M_8$ + $ \phi_1q_2^2$ | 0.6364 | 0.7932 | 0.8023 | [X:[], M:[0.6974, 1.048, 1.2067, 1.1107, 0.7933, 0.8893, 1.0147, 1.1107], q:[0.5406, 0.762], qb:[0.3487, 0.4447], phi:[0.476]] | [X:[], M:[[-34], [12], [10], [-14], [-10], [14], [-38], [-14]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_7$, $ M_2$, $ M_4$, $ M_8$, $ \phi_1\tilde{q}_1^2$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_1^2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_7$, $ M_1M_2$, $ M_1M_4$, $ M_5M_7$, $ M_1M_8$, $ M_2M_5$, $ M_1\phi_1\tilde{q}_1^2$, $ M_1M_3$, $ M_4M_5$, $ M_5M_8$, $ M_5\phi_1\tilde{q}_1^2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | . | -2 | t^2.09 + t^2.38 + t^3.04 + t^3.14 + 2*t^3.33 + t^3.52 + t^3.62 + t^3.81 + 2*t^4.1 + t^4.18 + t^4.38 + t^4.47 + t^4.67 + t^4.76 + t^5.14 + t^5.24 + 2*t^5.42 + t^5.52 + t^5.61 + t^5.71 + 2*t^5.9 - 2*t^6. + t^6.09 + 3*t^6.19 + t^6.28 - 2*t^6.29 + 2*t^6.38 + 3*t^6.48 + 2*t^6.56 - t^6.58 + 3*t^6.66 + t^6.76 + 3*t^6.85 + t^6.95 + t^7.04 + 3*t^7.14 + t^7.23 + 2*t^7.33 + 2*t^7.43 + 2*t^7.52 + 3*t^7.62 + t^7.7 + t^7.72 + t^7.8 + 2*t^7.9 + 2*t^7.99 - 2*t^8.09 + t^8.18 + 2*t^8.19 + 4*t^8.28 + t^8.37 - 4*t^8.38 + 2*t^8.47 + t^8.48 + 3*t^8.57 + 2*t^8.66 - 3*t^8.67 + 2*t^8.76 + 2*t^8.77 + t^8.86 + 3*t^8.94 - t^8.96 - t^4.43/y - t^6.52/y + t^7.1/y + t^7.38/y - t^7.76/y + t^8.14/y + t^8.24/y + t^8.34/y + (3*t^8.42)/y + t^8.52/y + (3*t^8.71)/y + (2*t^8.9)/y - t^4.43*y - t^6.52*y + t^7.1*y + t^7.38*y - t^7.76*y + t^8.14*y + t^8.24*y + t^8.34*y + 3*t^8.42*y + t^8.52*y + 3*t^8.71*y + 2*t^8.9*y | t^2.09/g1^34 + t^2.38/g1^10 + t^3.04/g1^38 + g1^12*t^3.14 + (2*t^3.33)/g1^14 + t^3.52/g1^40 + g1^10*t^3.62 + t^3.81/g1^16 + 2*g1^8*t^4.1 + t^4.18/g1^68 + g1^32*t^4.38 + t^4.47/g1^44 + g1^56*t^4.67 + t^4.76/g1^20 + t^5.14/g1^72 + t^5.24/g1^22 + (2*t^5.42)/g1^48 + g1^2*t^5.52 + t^5.61/g1^74 + t^5.71/g1^24 + (2*t^5.9)/g1^50 - 2*t^6. + t^6.09/g1^76 + (3*t^6.19)/g1^26 + t^6.28/g1^102 - 2*g1^24*t^6.29 + (2*t^6.38)/g1^52 + (3*t^6.48)/g1^2 + (2*t^6.56)/g1^78 - g1^48*t^6.58 + (3*t^6.66)/g1^28 + g1^22*t^6.76 + (3*t^6.85)/g1^54 + t^6.95/g1^4 + t^7.04/g1^80 + (3*t^7.14)/g1^30 + t^7.23/g1^106 + (2*t^7.33)/g1^56 + (2*t^7.43)/g1^6 + (2*t^7.52)/g1^82 + (3*t^7.62)/g1^32 + t^7.7/g1^108 + g1^18*t^7.72 + t^7.8/g1^58 + (2*t^7.9)/g1^8 + (2*t^7.99)/g1^84 - (2*t^8.09)/g1^34 + t^8.18/g1^110 + 2*g1^16*t^8.19 + (4*t^8.28)/g1^60 + t^8.37/g1^136 - (4*t^8.38)/g1^10 + (2*t^8.47)/g1^86 + g1^40*t^8.48 + (3*t^8.57)/g1^36 + (2*t^8.66)/g1^112 - 3*g1^14*t^8.67 + (2*t^8.76)/g1^62 + 2*g1^64*t^8.77 + t^8.86/g1^12 + (3*t^8.94)/g1^88 - g1^38*t^8.96 - t^4.43/(g1^6*y) - t^6.52/(g1^40*y) + (g1^8*t^7.1)/y + (g1^32*t^7.38)/y - t^7.76/(g1^20*y) + t^8.14/(g1^72*y) + t^8.24/(g1^22*y) + (g1^28*t^8.34)/y + (3*t^8.42)/(g1^48*y) + (g1^2*t^8.52)/y + (3*t^8.71)/(g1^24*y) + (2*t^8.9)/(g1^50*y) - (t^4.43*y)/g1^6 - (t^6.52*y)/g1^40 + g1^8*t^7.1*y + g1^32*t^7.38*y - (t^7.76*y)/g1^20 + (t^8.14*y)/g1^72 + (t^8.24*y)/g1^22 + g1^28*t^8.34*y + (3*t^8.42*y)/g1^48 + g1^2*t^8.52*y + (3*t^8.71*y)/g1^24 + (2*t^8.9*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5884 | $M_1q_1q_2$ + $ 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$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_6M_8$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6321 | 0.7841 | 0.8061 | [X:[], M:[0.7568, 1.027, 1.1892, 1.1351, 0.8108, 0.8649, 1.0811, 1.1351], q:[0.4865, 0.7568], qb:[0.3784, 0.4324], phi:[0.4865]] | t^2.27 + t^2.43 + t^3.08 + t^3.24 + 2*t^3.41 + t^3.57 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + t^4.7 + t^4.86 + t^5.35 + 2*t^5.51 + 2*t^5.68 + t^5.84 - t^6. - t^4.46/y - t^4.46*y | detail | {a: 256149/405224, c: 158877/202612, M1: 28/37, M2: 38/37, M3: 44/37, M4: 42/37, M5: 30/37, M6: 32/37, M7: 40/37, M8: 42/37, q1: 18/37, q2: 28/37, qb1: 14/37, qb2: 16/37, phi1: 18/37} |
| 5891 | $M_1q_1q_2$ + $ 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$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_6M_8$ + $ \phi_1q_2^2$ + $ M_9\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6562 | 0.8295 | 0.791 | [X:[], M:[0.7034, 1.0459, 1.2049, 1.1132, 0.7951, 0.8868, 1.0215, 1.1132, 0.7278], q:[0.5351, 0.7615], qb:[0.3517, 0.4434], phi:[0.4771]] | t^2.11 + t^2.18 + t^2.39 + t^3.06 + t^3.14 + 2*t^3.34 + t^3.54 + t^3.61 + 2*t^4.09 + t^4.22 + t^4.29 + 2*t^4.37 + t^4.5 + t^4.57 + t^4.64 + t^4.77 + t^5.17 + 2*t^5.25 + t^5.32 + 2*t^5.45 + 3*t^5.52 + t^5.65 + 2*t^5.72 + t^5.8 + t^5.93 - 2*t^6. - t^4.43/y - t^4.43*y | detail | |
| 5889 | $M_1q_1q_2$ + $ 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$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_6M_8$ + $ \phi_1q_2^2$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.6523 | 0.8197 | 0.7957 | [X:[], M:[0.7255, 1.0381, 1.1984, 1.1223, 0.8016, 0.8777, 1.0462, 1.1223, 0.7935], q:[0.515, 0.7595], qb:[0.3628, 0.4389], phi:[0.481]] | t^2.18 + t^2.38 + t^2.4 + t^3.11 + t^3.14 + 2*t^3.37 + t^3.6 + t^3.85 + 2*t^4.08 + t^4.3 + t^4.35 + t^4.53 + t^4.56 + t^4.58 + t^4.76 + t^4.79 + t^4.81 + t^5.29 + t^5.32 + t^5.49 + 2*t^5.52 + 2*t^5.54 + 2*t^5.75 + t^5.77 + t^5.98 - 2*t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2387 | 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$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ M_6M_8$ | 0.7145 | 0.883 | 0.8091 | [X:[], M:[0.8676, 1.0507, 1.031, 0.9296, 0.969, 1.0704, 0.8281, 0.9296], q:[0.6366, 0.4958], qb:[0.4338, 0.5352], phi:[0.4746]] | t^2.48 + t^2.6 + 2*t^2.79 + t^2.91 + t^3.09 + t^3.15 + t^4.03 + t^4.21 + t^4.33 + t^4.4 + t^4.52 + 2*t^4.64 + t^4.82 + t^4.94 + t^4.97 + t^5.09 + t^5.21 + t^5.24 + 2*t^5.27 + 2*t^5.39 + t^5.51 + 3*t^5.58 + t^5.64 + t^5.7 + t^5.75 + t^5.88 + 2*t^5.94 - 3*t^6. - t^4.42/y - t^4.42*y | detail |