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 |
|---|---|---|---|---|---|---|---|---|---|
| 4836 | 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$ + $ M_3^2$ + $ M_5M_6$ + $ M_2M_4$ + $ M_2M_7$ + $ M_8q_1\tilde{q}_2$ | 0.712 | 0.8834 | 0.8059 | [X:[], M:[0.8705, 1.0648, 1.0, 0.9352, 1.0648, 0.9352, 0.9352, 0.8705], q:[0.5971, 0.5324], qb:[0.4029, 0.5324], phi:[0.4838]] | [X:[], M:[[-8], [4], [0], [-4], [4], [-4], [-4], [-8]], q:[[6], [2]], qb:[[-6], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_8$, $ M_4$, $ M_6$, $ M_7$, $ \phi_1^2$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_8$, $ M_8^2$, $ M_1M_4$, $ M_1M_6$, $ M_1M_7$, $ M_4M_8$, $ M_6M_8$, $ M_7M_8$, $ M_1\phi_1^2$, $ M_8\phi_1^2$, $ M_1M_3$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_4M_7$, $ M_6M_7$, $ M_7^2$, $ M_3M_8$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_3M_4$, $ M_3M_6$, $ M_3M_7$, $ \phi_1^4$, $ M_3\phi_1^2$ | . | -5 | 2*t^2.61 + 3*t^2.81 + t^2.9 + t^3. + t^3.87 + 2*t^4.26 + t^4.45 + 3*t^4.65 + 2*t^4.84 + t^5.03 + 3*t^5.22 + 5*t^5.42 + 2*t^5.51 + 6*t^5.61 + 3*t^5.71 + 2*t^5.81 + t^5.9 - 5*t^6. - 3*t^6.19 - 2*t^6.39 + 2*t^6.48 - t^6.58 + 3*t^6.67 + t^6.77 + 4*t^6.87 - t^6.97 + 5*t^7.06 + 2*t^7.16 + 7*t^7.26 - t^7.35 + 7*t^7.45 + 2*t^7.55 + 4*t^7.65 + 4*t^7.83 + t^7.84 - t^7.94 + 5*t^8.03 + 4*t^8.13 + 8*t^8.22 - t^8.23 + 6*t^8.32 + 8*t^8.42 + 9*t^8.51 - 6*t^8.61 + 4*t^8.71 - 17*t^8.81 - t^4.45/y - (2*t^7.06)/y - t^7.26/y - t^7.35/y + t^7.55/y + t^7.65/y + (2*t^7.84)/y + t^8.22/y + (6*t^8.42)/y + (2*t^8.51)/y + (5*t^8.61)/y + (3*t^8.71)/y + (3*t^8.81)/y + t^8.9/y - t^4.45*y - 2*t^7.06*y - t^7.26*y - t^7.35*y + t^7.55*y + t^7.65*y + 2*t^7.84*y + t^8.22*y + 6*t^8.42*y + 2*t^8.51*y + 5*t^8.61*y + 3*t^8.71*y + 3*t^8.81*y + t^8.9*y | (2*t^2.61)/g1^8 + (3*t^2.81)/g1^4 + t^2.9/g1^2 + t^3. + t^3.87/g1^13 + (2*t^4.26)/g1^5 + t^4.45/g1 + 3*g1^3*t^4.65 + 2*g1^7*t^4.84 + g1^11*t^5.03 + (3*t^5.22)/g1^16 + (5*t^5.42)/g1^12 + (2*t^5.51)/g1^10 + (6*t^5.61)/g1^8 + (3*t^5.71)/g1^6 + (2*t^5.81)/g1^4 + t^5.9/g1^2 - 5*t^6. - 3*g1^4*t^6.19 - 2*g1^8*t^6.39 + (2*t^6.48)/g1^21 - g1^12*t^6.58 + (3*t^6.67)/g1^17 + t^6.77/g1^15 + (4*t^6.87)/g1^13 - t^6.97/g1^11 + (5*t^7.06)/g1^9 + (2*t^7.16)/g1^7 + (7*t^7.26)/g1^5 - t^7.35/g1^3 + (7*t^7.45)/g1 + 2*g1*t^7.55 + 4*g1^3*t^7.65 + t^7.74/g1^26 - g1^5*t^7.74 + (4*t^7.83)/g1^24 + g1^7*t^7.84 - g1^9*t^7.94 + (7*t^8.03)/g1^20 - 2*g1^11*t^8.03 + (5*t^8.13)/g1^18 - g1^13*t^8.13 + (8*t^8.22)/g1^16 - g1^15*t^8.23 + (6*t^8.32)/g1^14 + (8*t^8.42)/g1^12 + (9*t^8.51)/g1^10 - (6*t^8.61)/g1^8 + (4*t^8.71)/g1^6 - (17*t^8.81)/g1^4 - t^4.45/(g1*y) - (2*t^7.06)/(g1^9*y) - t^7.26/(g1^5*y) - t^7.35/(g1^3*y) + (g1*t^7.55)/y + (g1^3*t^7.65)/y + (2*g1^7*t^7.84)/y + t^8.22/(g1^16*y) + (6*t^8.42)/(g1^12*y) + (2*t^8.51)/(g1^10*y) + (5*t^8.61)/(g1^8*y) + (3*t^8.71)/(g1^6*y) + (3*t^8.81)/(g1^4*y) + t^8.9/(g1^2*y) - (t^4.45*y)/g1 - (2*t^7.06*y)/g1^9 - (t^7.26*y)/g1^5 - (t^7.35*y)/g1^3 + g1*t^7.55*y + g1^3*t^7.65*y + 2*g1^7*t^7.84*y + (t^8.22*y)/g1^16 + (6*t^8.42*y)/g1^12 + (2*t^8.51*y)/g1^10 + (5*t^8.61*y)/g1^8 + (3*t^8.71*y)/g1^6 + (3*t^8.81*y)/g1^4 + (t^8.9*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6447 | $M_1q_1q_2$ + $ 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$ + $ M_3^2$ + $ M_5M_6$ + $ M_2M_4$ + $ M_2M_7$ + $ M_8q_1\tilde{q}_2$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.7325 | 0.9218 | 0.7946 | [X:[], M:[0.88, 1.06, 1.0, 0.94, 1.06, 0.94, 0.94, 0.88, 0.6949], q:[0.59, 0.53], qb:[0.41, 0.53], phi:[0.485]] | t^2.08 + 2*t^2.64 + 3*t^2.82 + t^2.91 + t^3. + t^4.17 + 2*t^4.28 + t^4.46 + 3*t^4.63 + 2*t^4.72 + 2*t^4.81 + 3*t^4.9 + 2*t^4.99 + t^5.08 + 3*t^5.28 + 5*t^5.46 + 2*t^5.55 + 6*t^5.64 + 3*t^5.73 + 2*t^5.82 + t^5.91 - 5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2677 | 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$ + $ M_3^2$ + $ M_5M_6$ + $ M_2M_4$ + $ M_2M_7$ | 0.7018 | 0.8633 | 0.8129 | [X:[], M:[0.9043, 1.0478, 1.0, 0.9522, 1.0478, 0.9522, 0.9522], q:[0.5718, 0.5239], qb:[0.4282, 0.5239], phi:[0.488]] | t^2.71 + 3*t^2.86 + t^2.93 + t^3. + t^3.29 + t^4.03 + 2*t^4.32 + t^4.46 + 3*t^4.61 + 2*t^4.75 + t^4.89 + t^5.43 + 2*t^5.57 + t^5.64 + 5*t^5.71 + 3*t^5.78 + 2*t^5.86 + t^5.93 - 4*t^6. - t^4.46/y - t^4.46*y | detail |