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 |
|---|---|---|---|---|---|---|---|---|---|
| 2446 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ + $ M_7q_1\tilde{q}_2$ | 0.7105 | 0.8815 | 0.806 | [X:[], M:[0.9165, 1.0278, 1.0835, 0.8608, 0.9165, 0.9722, 0.9165], q:[0.5139, 0.5696], qb:[0.4026, 0.5696], phi:[0.4861]] | [X:[], M:[[-6], [2], [6], [-10], [-6], [-2], [-6]], q:[[1], [5]], qb:[[-7], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ M_7$, $ M_6$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4M_5$, $ M_4M_7$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4M_6$, $ M_1M_7$, $ M_5M_7$, $ M_7^2$, $ M_4\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_1M_6$, $ M_5M_6$, $ M_6M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_6q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$ | . | -6 | t^2.58 + 3*t^2.75 + 3*t^2.92 + t^3.87 + t^4.21 + 2*t^4.37 + t^4.54 + 2*t^4.71 + 3*t^4.88 + t^5.16 + 3*t^5.33 + 7*t^5.5 + 8*t^5.67 + 4*t^5.83 - 6*t^6. - 3*t^6.17 - t^6.33 + t^6.46 - 2*t^6.5 + 3*t^6.62 + 4*t^6.79 + 2*t^6.96 + 7*t^7.12 + 7*t^7.29 + 3*t^7.46 + 7*t^7.63 + 2*t^7.75 + 4*t^7.79 + 3*t^7.91 - 6*t^7.96 + 8*t^8.08 - 2*t^8.13 + 14*t^8.25 + 14*t^8.42 + 8*t^8.58 - 8*t^8.75 - 23*t^8.92 - t^4.46/y - t^7.04/y - (2*t^7.21)/y - t^7.37/y + t^7.54/y + (2*t^7.71)/y + t^7.88/y + (3*t^8.33)/y + (6*t^8.5)/y + (9*t^8.67)/y + (3*t^8.83)/y - t^4.46*y - t^7.04*y - 2*t^7.21*y - t^7.37*y + t^7.54*y + 2*t^7.71*y + t^7.88*y + 3*t^8.33*y + 6*t^8.5*y + 9*t^8.67*y + 3*t^8.83*y | t^2.58/g1^10 + (3*t^2.75)/g1^6 + (3*t^2.92)/g1^2 + t^3.87/g1^15 + t^4.21/g1^7 + (2*t^4.37)/g1^3 + g1*t^4.54 + 2*g1^5*t^4.71 + 3*g1^9*t^4.88 + t^5.16/g1^20 + (3*t^5.33)/g1^16 + (7*t^5.5)/g1^12 + (8*t^5.67)/g1^8 + (4*t^5.83)/g1^4 - 6*t^6. - 3*g1^4*t^6.17 - g1^8*t^6.33 + t^6.46/g1^25 - 2*g1^12*t^6.5 + (3*t^6.62)/g1^21 + (4*t^6.79)/g1^17 + (2*t^6.96)/g1^13 + (7*t^7.12)/g1^9 + (7*t^7.29)/g1^5 + (3*t^7.46)/g1 + 7*g1^3*t^7.63 + (2*t^7.75)/g1^30 + 4*g1^7*t^7.79 + (3*t^7.91)/g1^26 - 6*g1^11*t^7.96 + (8*t^8.08)/g1^22 - 2*g1^15*t^8.13 + (14*t^8.25)/g1^18 + (14*t^8.42)/g1^14 + (8*t^8.58)/g1^10 - (8*t^8.75)/g1^6 - (23*t^8.92)/g1^2 - t^4.46/(g1*y) - t^7.04/(g1^11*y) - (2*t^7.21)/(g1^7*y) - t^7.37/(g1^3*y) + (g1*t^7.54)/y + (2*g1^5*t^7.71)/y + (g1^9*t^7.88)/y + (3*t^8.33)/(g1^16*y) + (6*t^8.5)/(g1^12*y) + (9*t^8.67)/(g1^8*y) + (3*t^8.83)/(g1^4*y) - (t^4.46*y)/g1 - (t^7.04*y)/g1^11 - (2*t^7.21*y)/g1^7 - (t^7.37*y)/g1^3 + g1*t^7.54*y + 2*g1^5*t^7.71*y + g1^9*t^7.88*y + (3*t^8.33*y)/g1^16 + (6*t^8.5*y)/g1^12 + (9*t^8.67*y)/g1^8 + (3*t^8.83*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4488 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ + $ M_7q_1\tilde{q}_2$ + $ M_4M_8$ | 0.6998 | 0.8603 | 0.8134 | [X:[], M:[0.9418, 1.0194, 1.0582, 0.903, 0.9418, 0.9806, 0.9418, 1.097], q:[0.5097, 0.5485], qb:[0.4321, 0.5485], phi:[0.4903]] | 3*t^2.83 + 3*t^2.94 + t^3.29 + t^4.06 + t^4.3 + 2*t^4.41 + t^4.53 + 2*t^4.65 + 3*t^4.76 + 4*t^5.65 + 8*t^5.77 + 4*t^5.88 - 6*t^6. - t^4.47/y - t^4.47*y | detail | |
| 4490 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.731 | 0.9201 | 0.7945 | [X:[], M:[0.9227, 1.0258, 1.0773, 0.8712, 0.9227, 0.9742, 0.9227, 0.6932], q:[0.5129, 0.5644], qb:[0.4098, 0.5644], phi:[0.4871]] | t^2.08 + t^2.61 + 3*t^2.77 + 3*t^2.92 + t^4.16 + t^4.23 + 2*t^4.38 + t^4.54 + 3*t^4.69 + 6*t^4.85 + 3*t^5. + t^5.23 + 3*t^5.38 + 7*t^5.54 + 8*t^5.69 + 4*t^5.85 - 6*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1382 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ | 0.7035 | 0.8675 | 0.8109 | [X:[], M:[0.9322, 1.0226, 1.0678, 0.887, 0.9322, 0.9774], q:[0.5113, 0.5565], qb:[0.4209, 0.5565], phi:[0.4887]] | t^2.66 + 2*t^2.8 + 3*t^2.93 + t^3.2 + t^3.99 + t^4.26 + 2*t^4.4 + t^4.53 + 2*t^4.67 + 3*t^4.81 + t^5.32 + 2*t^5.46 + 4*t^5.59 + 5*t^5.73 + 5*t^5.86 - 4*t^6. - t^4.47/y - t^4.47*y | detail |