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 |
|---|---|---|---|---|---|---|---|---|---|
| 2004 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.7308 | 0.9549 | 0.7653 | [X:[], M:[0.6897, 0.6897, 0.6897, 0.6897, 0.6897, 0.6897], q:[0.8276, 0.8276], qb:[0.4827, 0.4827], phi:[0.3449]] | [X:[], M:[[-4], [-4], [-4], [-4], [-4], [-4]], q:[[1], [1]], qb:[[3], [3]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_3$, $ M_4$, $ M_5$, $ M_6$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_3$, $ M_2M_3$, $ M_3^2$, $ M_1M_4$, $ M_2M_4$, $ M_3M_4$, $ M_4^2$, $ M_1M_5$, $ M_2M_5$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ M_1M_6$, $ M_2M_6$, $ M_3M_6$, $ M_4M_6$, $ M_5M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $M_1q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$ | -2 | 7*t^2.07 + t^2.9 + t^3.93 + 28*t^4.14 + 8*t^4.97 + t^5.79 - 2*t^6. + 84*t^6.21 + t^6.83 + 27*t^7.03 - 34*t^8.07 + 210*t^8.28 + t^8.69 - 9*t^8.9 - t^4.03/y - (7*t^6.1)/y + (21*t^7.14)/y + (14*t^7.97)/y - (28*t^8.17)/y - t^4.03*y - 7*t^6.1*y + 21*t^7.14*y + 14*t^7.97*y - 28*t^8.17*y | (7*t^2.07)/g1^4 + g1^6*t^2.9 + g1^4*t^3.93 + (28*t^4.14)/g1^8 + 8*g1^2*t^4.97 + g1^12*t^5.79 - 2*t^6. + (84*t^6.21)/g1^12 + g1^10*t^6.83 + (27*t^7.03)/g1^2 - (34*t^8.07)/g1^4 + (210*t^8.28)/g1^16 + g1^18*t^8.69 - 9*g1^6*t^8.9 - t^4.03/(g1^2*y) - (7*t^6.1)/(g1^6*y) + (21*t^7.14)/(g1^8*y) + (14*g1^2*t^7.97)/y - (28*t^8.17)/(g1^10*y) - (t^4.03*y)/g1^2 - (7*t^6.1*y)/g1^6 + (21*t^7.14*y)/g1^8 + 14*g1^2*t^7.97*y - (28*t^8.17*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3050 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_2\tilde{q}_2$ | 0.7515 | 0.9955 | 0.7549 | [X:[], M:[0.6878, 0.6878, 0.6878, 0.6878, 0.6878, 0.6878, 0.6878], q:[0.828, 0.828], qb:[0.4841, 0.4841], phi:[0.3439]] | 8*t^2.06 + t^2.9 + 36*t^4.13 + 9*t^4.97 + t^5.81 - 9*t^6. - t^4.03/y - t^4.03*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 |
|---|---|---|---|---|---|---|---|---|---|
| 779 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.7101 | 0.9145 | 0.7765 | [X:[], M:[0.692, 0.692, 0.692, 0.692, 0.692], q:[0.827, 0.827], qb:[0.481, 0.481], phi:[0.346]] | 6*t^2.08 + t^2.89 + 2*t^3.92 + 21*t^4.15 + 7*t^4.96 + t^5.77 + 3*t^6. - t^4.04/y - t^4.04*y | detail |