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 |
|---|---|---|---|---|---|---|---|---|---|
| 2072 | 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$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.6165 | 0.7522 | 0.8196 | [X:[1.6096], M:[0.8288, 0.7328, 1.1712, 0.3904, 0.8288, 1.2192], q:[0.3904, 0.7808], qb:[0.4384, 0.8288], phi:[0.3904]] | [X:[[1]], M:[[3], [-7], [-3], [-1], [3], [2]], q:[[-1], [-2]], qb:[[4], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_5$, $ \phi_1q_1^2$, $ M_6$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_1^2$, $ M_2M_6$, $ \phi_1q_2^2$ | $M_5\phi_1q_1^2$ | -2 | t^2.2 + 2*t^2.49 + t^3.51 + 4*t^3.66 + t^3.8 + t^4.4 + 2*t^4.68 + t^4.83 + 3*t^4.97 + t^5.71 + 2*t^5.86 - 2*t^6. + 6*t^6.14 + 2*t^6.29 + t^6.6 + 2*t^6.88 + t^7.17 + 6*t^7.32 + 6*t^7.46 + t^7.6 + t^7.91 + 2*t^8.05 - 2*t^8.2 + 2*t^8.34 - 5*t^8.49 + 7*t^8.63 + 3*t^8.77 + t^8.79 - t^4.17/y - t^6.37/y - t^6.66/y + (3*t^7.68)/y + (2*t^7.97)/y - t^8.57/y + t^8.71/y + (3*t^8.86)/y - t^4.17*y - t^6.37*y - t^6.66*y + 3*t^7.68*y + 2*t^7.97*y - t^8.57*y + t^8.71*y + 3*t^8.86*y | t^2.2/g1^7 + 2*g1^3*t^2.49 + t^3.51/g1^3 + 4*g1^2*t^3.66 + g1^7*t^3.8 + t^4.4/g1^14 + (2*t^4.68)/g1^4 + g1*t^4.83 + 3*g1^6*t^4.97 + t^5.71/g1^10 + (2*t^5.86)/g1^5 - 2*t^6. + 6*g1^5*t^6.14 + 2*g1^10*t^6.29 + t^6.6/g1^21 + (2*t^6.88)/g1^11 + t^7.17/g1 + 6*g1^4*t^7.32 + 6*g1^9*t^7.46 + g1^14*t^7.6 + t^7.91/g1^17 + (2*t^8.05)/g1^12 - (2*t^8.2)/g1^7 + (2*t^8.34)/g1^2 - 5*g1^3*t^8.49 + 7*g1^8*t^8.63 + 3*g1^13*t^8.77 + t^8.79/g1^28 - t^4.17/(g1*y) - t^6.37/(g1^8*y) - (g1^2*t^6.66)/y + (3*t^7.68)/(g1^4*y) + (2*g1^6*t^7.97)/y - t^8.57/(g1^15*y) + t^8.71/(g1^10*y) + (3*t^8.86)/(g1^5*y) - (t^4.17*y)/g1 - (t^6.37*y)/g1^8 - g1^2*t^6.66*y + (3*t^7.68*y)/g1^4 + 2*g1^6*t^7.97*y - (t^8.57*y)/g1^15 + (t^8.71*y)/g1^10 + (3*t^8.86*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3139 | $M_1q_1q_2$ + $ 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$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_7\phi_1q_1^2$ | 0.6315 | 0.779 | 0.8106 | [X:[1.6066], M:[0.8198, 0.7538, 1.1802, 0.3934, 0.8198, 1.2132, 0.8198], q:[0.3934, 0.7868], qb:[0.4264, 0.8198], phi:[0.3934]] | t^2.26 + 3*t^2.46 + 4*t^3.64 + t^3.74 + t^4.52 + 3*t^4.72 + t^4.82 + 6*t^4.92 + 2*t^5.9 - 4*t^6. - t^4.18/y - t^4.18*y | detail | |
| 3140 | $M_1q_1q_2$ + $ 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$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6365 | 0.7896 | 0.8062 | [X:[1.6122], M:[0.8366, 0.7146, 1.1634, 0.3878, 0.8366, 1.2244, 0.7146], q:[0.3878, 0.7756], qb:[0.4488, 0.8366], phi:[0.3878]] | 2*t^2.14 + 2*t^2.51 + t^3.49 + 4*t^3.67 + 3*t^4.29 + 4*t^4.65 + t^4.84 + 3*t^5.02 + 2*t^5.63 + 6*t^5.82 - 3*t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 897 | 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$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.7195 | 0.8802 | 0.8175 | [X:[], M:[0.9747, 0.8444, 1.0253, 0.7937, 0.9747, 1.0905], q:[0.4548, 0.5706], qb:[0.5199, 0.6357], phi:[0.4548]] | t^2.38 + t^2.53 + 2*t^2.92 + 3*t^3.27 + t^4.09 + t^4.29 + t^4.44 + t^4.48 + 2*t^4.64 + t^4.76 + t^4.79 + t^4.83 + t^4.91 + t^4.98 + t^5.07 + t^5.18 + 2*t^5.31 + t^5.46 + t^5.65 + t^5.8 + 2*t^5.85 - 4*t^6. - t^4.36/y - t^4.36*y | detail |