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 |
|---|---|---|---|---|---|---|---|---|---|
| 2880 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_3X_1$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6542 | 0.8179 | 0.7999 | [X:[1.618], M:[0.7639, 1.1459, 0.382, 0.8541, 0.7639, 0.7639], q:[0.4722, 0.7639], qb:[0.382, 0.8541], phi:[0.382]] | [X:[[1]], M:[[-2], [-3], [-1], [3], [-2], [-2]], q:[[4], [-2]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_4$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1^2$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_4$, $ M_4M_5$, $ M_4M_6$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_4^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_6$, $ M_2\phi_1^2$, $ \phi_1q_2^2$, $ M_1\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$ | $M_4\phi_1\tilde{q}_1^2$ | -3 | 4*t^2.29 + t^2.56 + 2*t^3.44 + 2*t^3.98 + 10*t^4.58 + 5*t^4.85 + t^5.12 + 6*t^5.73 - 3*t^6. + 6*t^6.27 + 2*t^6.54 + 21*t^6.88 + 8*t^7.15 + 2*t^7.42 - t^7.69 + 3*t^7.96 + 12*t^8.02 - 13*t^8.29 + 5*t^8.56 + 6*t^8.83 - t^4.15/y - (4*t^6.44)/y + (6*t^7.58)/y + (8*t^7.85)/y - (2*t^8.73)/y - t^4.15*y - 4*t^6.44*y + 6*t^7.58*y + 8*t^7.85*y - 2*t^8.73*y | (4*t^2.29)/g1^2 + g1^3*t^2.56 + (2*t^3.44)/g1^3 + 2*g1^7*t^3.98 + (10*t^4.58)/g1^4 + 5*g1*t^4.85 + g1^6*t^5.12 + (6*t^5.73)/g1^5 - 3*t^6. + 6*g1^5*t^6.27 + 2*g1^10*t^6.54 + (21*t^6.88)/g1^6 + (8*t^7.15)/g1 + 2*g1^4*t^7.42 - g1^9*t^7.69 + 3*g1^14*t^7.96 + (12*t^8.02)/g1^7 - (13*t^8.29)/g1^2 + 5*g1^3*t^8.56 + 6*g1^8*t^8.83 - t^4.15/(g1*y) - (4*t^6.44)/(g1^3*y) + (6*t^7.58)/(g1^4*y) + (8*g1*t^7.85)/y - (2*t^8.73)/(g1^5*y) - (t^4.15*y)/g1 - (4*t^6.44*y)/g1^3 + (6*t^7.58*y)/g1^4 + 8*g1*t^7.85*y - (2*t^8.73*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 |
|---|---|---|---|---|---|---|---|---|
| 3445 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_3X_1$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_2M_7$ | 0.6676 | 0.8409 | 0.7939 | [X:[1.6134], M:[0.7732, 1.1598, 0.3866, 0.8402, 0.7732, 0.7732, 0.8402], q:[0.4536, 0.7732], qb:[0.3866, 0.8402], phi:[0.3866]] | 4*t^2.32 + 2*t^2.52 + t^3.48 + 2*t^3.88 + 10*t^4.64 + 9*t^4.84 + 3*t^5.04 + 2*t^5.8 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1868 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_3X_1$ | 0.6359 | 0.7849 | 0.8102 | [X:[1.616], M:[0.7681, 1.1521, 0.384, 0.8479, 0.7681], q:[0.4639, 0.7681], qb:[0.384, 0.8479], phi:[0.384]] | 3*t^2.3 + t^2.54 + 2*t^3.46 + t^3.7 + 2*t^3.94 + 6*t^4.61 + 4*t^4.85 + t^5.09 + 4*t^5.76 - t^4.15/y - t^4.15*y | detail |