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 |
|---|---|---|---|---|---|---|---|---|---|
| 2659 | 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_5M_7$ | 0.6707 | 0.8306 | 0.8075 | [X:[], M:[0.9859, 0.7793, 0.9343, 0.831, 1.169, 1.1174, 0.831], q:[0.6244, 0.3897], qb:[0.4413, 0.7793], phi:[0.4413]] | [X:[], M:[[-18], [2], [-13], [-3], [3], [8], [-3]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 | {a: 20285/30246, c: 200975/241968, M1: 70/71, M2: 166/213, M3: 199/213, M4: 59/71, M5: 83/71, M6: 238/213, M7: 59/71, q1: 133/213, q2: 83/213, qb1: 94/213, qb2: 166/213, phi1: 94/213} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_7$, $ M_3$, $ M_1$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ M_2M_4$, $ M_2M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2M_3$, $ M_1M_2$, $ M_3M_4$, $ M_3M_7$, $ M_1M_4$, $ M_1M_7$, $ M_3^2$, $ M_2M_6$, $ M_1M_3$, $ M_4M_6$, $ M_6M_7$, $ M_1^2$ | . | -2 | t^2.34 + 2*t^2.49 + t^2.8 + t^2.96 + t^3.35 + t^3.66 + t^3.82 + t^3.97 + t^4.21 + t^4.37 + t^4.52 + t^4.68 + 2*t^4.83 + 3*t^4.99 + t^5.07 + t^5.14 + 2*t^5.3 + t^5.45 + t^5.61 + t^5.69 + t^5.76 + t^5.85 + t^5.92 - 2*t^6. + 2*t^6.15 + 3*t^6.31 + 2*t^6.46 + t^6.62 + 2*t^6.7 + t^6.77 + t^6.86 + t^6.93 + 2*t^7.01 + 2*t^7.17 + 3*t^7.32 + t^7.41 + 5*t^7.48 + 2*t^7.56 + 3*t^7.63 + 3*t^7.79 + 3*t^7.94 + t^8.03 + 2*t^8.1 + t^8.18 + 2*t^8.25 - t^8.34 + 2*t^8.41 + t^8.42 - 3*t^8.49 + t^8.56 + 2*t^8.65 + t^8.72 + t^8.73 + t^8.8 + t^8.87 + t^8.96 - t^4.32/y - t^6.66/y - t^6.82/y - t^7.13/y - t^7.28/y + t^7.37/y + t^7.52/y + (3*t^7.83)/y + (2*t^7.99)/y + t^8.14/y + (3*t^8.3)/y + (2*t^8.45)/y + t^8.69/y + t^8.76/y + (2*t^8.85)/y - t^4.32*y - t^6.66*y - t^6.82*y - t^7.13*y - t^7.28*y + t^7.37*y + t^7.52*y + 3*t^7.83*y + 2*t^7.99*y + t^8.14*y + 3*t^8.3*y + 2*t^8.45*y + t^8.69*y + t^8.76*y + 2*t^8.85*y | g1^2*t^2.34 + (2*t^2.49)/g1^3 + t^2.8/g1^13 + t^2.96/g1^18 + g1^8*t^3.35 + t^3.66/g1^2 + t^3.82/g1^7 + t^3.97/g1^12 + g1^19*t^4.21 + g1^14*t^4.37 + g1^9*t^4.52 + g1^4*t^4.68 + (2*t^4.83)/g1 + (3*t^4.99)/g1^6 + g1^30*t^5.07 + t^5.14/g1^11 + (2*t^5.3)/g1^16 + t^5.45/g1^21 + t^5.61/g1^26 + g1^10*t^5.69 + t^5.76/g1^31 + g1^5*t^5.85 + t^5.92/g1^36 - 2*t^6. + (2*t^6.15)/g1^5 + (3*t^6.31)/g1^10 + (2*t^6.46)/g1^15 + t^6.62/g1^20 + 2*g1^16*t^6.7 + t^6.77/g1^25 + g1^11*t^6.86 + t^6.93/g1^30 + 2*g1^6*t^7.01 + 2*g1*t^7.17 + (3*t^7.32)/g1^4 + g1^32*t^7.41 + (5*t^7.48)/g1^9 + 2*g1^27*t^7.56 + (3*t^7.63)/g1^14 + (3*t^7.79)/g1^19 + (3*t^7.94)/g1^24 + g1^12*t^8.03 + (2*t^8.1)/g1^29 + g1^7*t^8.18 + (2*t^8.25)/g1^34 - g1^2*t^8.34 + (2*t^8.41)/g1^39 + g1^38*t^8.42 - (3*t^8.49)/g1^3 + t^8.56/g1^44 + (2*t^8.65)/g1^8 + t^8.72/g1^49 + g1^28*t^8.73 + t^8.8/g1^13 + t^8.87/g1^54 + t^8.96/g1^18 - t^4.32/(g1^4*y) - t^6.66/(g1^2*y) - t^6.82/(g1^7*y) - t^7.13/(g1^17*y) - t^7.28/(g1^22*y) + (g1^14*t^7.37)/y + (g1^9*t^7.52)/y + (3*t^7.83)/(g1*y) + (2*t^7.99)/(g1^6*y) + t^8.14/(g1^11*y) + (3*t^8.3)/(g1^16*y) + (2*t^8.45)/(g1^21*y) + (g1^10*t^8.69)/y + t^8.76/(g1^31*y) + (2*g1^5*t^8.85)/y - (t^4.32*y)/g1^4 - (t^6.66*y)/g1^2 - (t^6.82*y)/g1^7 - (t^7.13*y)/g1^17 - (t^7.28*y)/g1^22 + g1^14*t^7.37*y + g1^9*t^7.52*y + (3*t^7.83*y)/g1 + (2*t^7.99*y)/g1^6 + (t^8.14*y)/g1^11 + (3*t^8.3*y)/g1^16 + (2*t^8.45*y)/g1^21 + g1^10*t^8.69*y + (t^8.76*y)/g1^31 + 2*g1^5*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 4857 | $M_1q_1q_2$ + $ 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_5M_7$ + $ M_1M_4$ | 0.6526 | 0.8104 | 0.8054 | [X:[], M:[1.1429, 0.7619, 1.0476, 0.8571, 1.1429, 1.0476, 0.8571], q:[0.4762, 0.381], qb:[0.4762, 0.7619], phi:[0.4762]] | t^2.29 + 2*t^2.57 + 2*t^3.14 + t^3.43 + 2*t^3.71 + 2*t^4. + 3*t^4.29 + t^4.57 + 2*t^4.86 + 3*t^5.14 + 2*t^5.43 + 3*t^5.71 - t^6. - t^4.43/y - t^4.43*y | detail | {a: 1535/2352, c: 953/1176, M1: 8/7, M2: 16/21, M3: 22/21, M4: 6/7, M5: 8/7, M6: 22/21, M7: 6/7, q1: 10/21, q2: 8/21, qb1: 10/21, qb2: 16/21, phi1: 10/21} |
| 4858 | $M_1q_1q_2$ + $ 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_5M_7$ + $ M_8\phi_1q_2^2$ | 0.6883 | 0.862 | 0.7985 | [X:[], M:[0.99, 0.7789, 0.9372, 0.8317, 1.1683, 1.1156, 0.8317, 0.7789], q:[0.6206, 0.3894], qb:[0.4422, 0.7789], phi:[0.4422]] | 2*t^2.34 + 2*t^2.49 + t^2.81 + t^2.97 + t^3.35 + t^3.82 + t^3.98 + t^4.2 + t^4.36 + t^4.52 + 3*t^4.67 + 4*t^4.83 + 3*t^4.99 + t^5.05 + 2*t^5.15 + 3*t^5.31 + t^5.46 + t^5.62 + 2*t^5.68 + t^5.78 + t^5.84 + t^5.94 - 3*t^6. - t^4.33/y - t^4.33*y | detail | {a: 8227121/11952048, c: 10302961/11952048, M1: 494/499, M2: 1166/1497, M3: 1403/1497, M4: 415/499, M5: 583/499, M6: 1670/1497, M7: 415/499, M8: 1166/1497, q1: 929/1497, q2: 583/1497, qb1: 662/1497, qb2: 1166/1497, phi1: 662/1497} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1543 | 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_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_2\phi_1q_2^2$ | 0.6562 | 0.8056 | 0.8146 | [X:[], M:[0.994, 0.7784, 0.9401, 0.8323, 1.1677, 1.1138], q:[0.6167, 0.3892], qb:[0.4431, 0.7784], phi:[0.4431]] | t^2.34 + t^2.5 + t^2.82 + t^2.98 + t^3.34 + t^3.5 + t^3.66 + t^3.83 + t^3.99 + t^4.19 + t^4.35 + t^4.51 + t^4.67 + t^4.83 + t^4.99 + t^5.03 + t^5.16 + t^5.32 + t^5.64 + t^5.68 + t^5.8 + t^5.84 + t^5.96 - t^6. - t^4.33/y - t^4.33*y | detail |