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 |
|---|---|---|---|---|---|---|---|---|---|
| 4503 | 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_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ | 0.7041 | 0.8687 | 0.8105 | [X:[], M:[0.9272, 1.0243, 1.0728, 0.8786, 0.9272, 1.0243, 0.9272, 1.0243], q:[0.4636, 0.6092], qb:[0.4636, 0.5121], phi:[0.4879]] | [X:[], M:[[-6], [2], [6], [-10], [-6], [2], [-6], [2]], q:[[-3], [9]], qb:[[-3], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ M_7$, $ M_2$, $ M_6$, $ M_8$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4M_5$, $ M_4M_7$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_7$, $ M_5M_7$, $ M_7^2$, $ M_2M_4$, $ M_4M_6$, $ M_4M_8$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_2M_7$, $ M_6M_7$, $ M_1M_8$, $ M_5M_8$, $ M_7M_8$ | . | -6 | t^2.64 + 3*t^2.78 + 3*t^3.07 + 3*t^4.25 + 2*t^4.39 + t^4.54 + 2*t^4.68 + t^4.83 + t^5.12 + t^5.27 + 3*t^5.42 + 4*t^5.56 + 2*t^5.71 + 7*t^5.85 - 6*t^6. + 3*t^6.15 - t^6.29 - 2*t^6.44 + 3*t^6.88 + 9*t^7.03 + 4*t^7.17 + 8*t^7.32 + 4*t^7.46 - 2*t^7.61 + 2*t^7.75 + 2*t^7.9 + t^7.91 + t^8.05 + 2*t^8.19 + 4*t^8.2 + 7*t^8.34 + 10*t^8.49 + 5*t^8.64 - 12*t^8.78 + 11*t^8.93 - t^4.46/y - t^7.1/y - (2*t^7.25)/y + (2*t^7.39)/y - (2*t^7.54)/y + (2*t^7.68)/y + t^7.83/y + (3*t^8.42)/y + (3*t^8.56)/y + (3*t^8.71)/y + (9*t^8.85)/y - t^4.46*y - t^7.1*y - 2*t^7.25*y + 2*t^7.39*y - 2*t^7.54*y + 2*t^7.68*y + t^7.83*y + 3*t^8.42*y + 3*t^8.56*y + 3*t^8.71*y + 9*t^8.85*y | t^2.64/g1^10 + (3*t^2.78)/g1^6 + 3*g1^2*t^3.07 + (3*t^4.25)/g1^7 + (2*t^4.39)/g1^3 + g1*t^4.54 + 2*g1^5*t^4.68 + g1^9*t^4.83 + g1^17*t^5.12 + t^5.27/g1^20 + (3*t^5.42)/g1^16 + (4*t^5.56)/g1^12 + (2*t^5.71)/g1^8 + (7*t^5.85)/g1^4 - 6*t^6. + 3*g1^4*t^6.15 - g1^8*t^6.29 - 2*g1^12*t^6.44 + (3*t^6.88)/g1^17 + (9*t^7.03)/g1^13 + (4*t^7.17)/g1^9 + (8*t^7.32)/g1^5 + (4*t^7.46)/g1 - 2*g1^3*t^7.61 + 2*g1^7*t^7.75 + 2*g1^11*t^7.9 + t^7.91/g1^30 + (3*t^8.05)/g1^26 - 2*g1^15*t^8.05 + 2*g1^19*t^8.19 + (4*t^8.2)/g1^22 + (7*t^8.34)/g1^18 + (10*t^8.49)/g1^14 + (5*t^8.64)/g1^10 - (12*t^8.78)/g1^6 + (11*t^8.93)/g1^2 - t^4.46/(g1*y) - t^7.1/(g1^11*y) - (2*t^7.25)/(g1^7*y) + (2*t^7.39)/(g1^3*y) - (2*g1*t^7.54)/y + (2*g1^5*t^7.68)/y + (g1^9*t^7.83)/y + (3*t^8.42)/(g1^16*y) + (3*t^8.56)/(g1^12*y) + (3*t^8.71)/(g1^8*y) + (9*t^8.85)/(g1^4*y) - (t^4.46*y)/g1 - (t^7.1*y)/g1^11 - (2*t^7.25*y)/g1^7 + (2*t^7.39*y)/g1^3 - 2*g1*t^7.54*y + 2*g1^5*t^7.68*y + g1^9*t^7.83*y + (3*t^8.42*y)/g1^16 + (3*t^8.56*y)/g1^12 + (3*t^8.71*y)/g1^8 + (9*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 6002 | $M_1q_1q_2$ + $ 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_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ + $ M_1M_9$ | 0.6982 | 0.8573 | 0.8145 | [X:[], M:[0.9463, 1.0179, 1.0537, 0.9104, 0.9463, 1.0179, 0.9463, 1.0179, 1.0537], q:[0.4731, 0.5806], qb:[0.4731, 0.509], phi:[0.491]] | t^2.73 + 2*t^2.84 + 3*t^3.05 + t^3.16 + 3*t^4.31 + 2*t^4.42 + t^4.53 + 2*t^4.63 + t^4.74 + t^4.96 + t^5.46 + 2*t^5.57 + t^5.68 + 2*t^5.79 + 5*t^5.89 - 4*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2456 | 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_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_7q_2\tilde{q}_1$ | 0.7065 | 0.8734 | 0.8088 | [X:[], M:[0.9207, 1.0264, 1.0793, 0.8678, 0.9207, 1.0264, 0.9207], q:[0.4604, 0.6189], qb:[0.4604, 0.5132], phi:[0.4868]] | t^2.6 + 3*t^2.76 + t^2.92 + 2*t^3.08 + 3*t^4.22 + 2*t^4.38 + t^4.54 + 2*t^4.7 + t^4.86 + t^5.17 + t^5.21 + 3*t^5.37 + 5*t^5.52 + 4*t^5.68 + 5*t^5.84 - 4*t^6. - t^4.46/y - t^4.46*y | detail |