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 |
|---|---|---|---|---|---|---|---|---|---|
| 1969 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1q_2$ | 0.6668 | 0.8608 | 0.7747 | [X:[], M:[1.2063, 1.1031, 0.6906, 0.7937, 0.7937, 0.8094], q:[0.75, 0.4406], qb:[0.3531, 0.4563], phi:[0.5]] | [X:[], M:[[2], [1], [-3], [-2], [-2], [3]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_5$, $ M_6$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_3M_5$, $ M_3M_6$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4M_6$, $ M_5M_6$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_2M_3$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_6\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_5$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_2M_6$, $ M_6q_1\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$ | -1 | t^2.07 + 2*t^2.38 + 2*t^2.43 + t^3. + 2*t^3.31 + t^3.62 + t^3.88 + 2*t^4.14 + t^4.19 + t^4.24 + 2*t^4.45 + 2*t^4.5 + 3*t^4.76 + 4*t^4.81 + 3*t^4.86 + t^5.07 + 4*t^5.38 + 2*t^5.43 + 4*t^5.69 + 3*t^5.74 - t^6. + t^6.05 + 2*t^6.22 + 2*t^6.26 + 2*t^6.31 + 4*t^6.52 + 4*t^6.57 + 5*t^6.62 + 2*t^6.67 + 3*t^6.83 + 3*t^6.88 + 3*t^6.93 + 5*t^7.14 + 5*t^7.19 + 5*t^7.24 + 4*t^7.28 + 4*t^7.45 + t^7.5 + 6*t^7.76 + 4*t^7.81 + 3*t^7.86 + t^8.02 + 2*t^8.07 + 4*t^8.12 + 4*t^8.17 + 3*t^8.29 + t^8.33 - 2*t^8.38 - 3*t^8.43 + 2*t^8.48 + 4*t^8.6 + 5*t^8.64 + 4*t^8.69 + 2*t^8.74 + 6*t^8.91 + 5*t^8.95 - t^4.5/y - t^6.57/y - t^6.88/y - t^6.93/y + t^7.19/y + (2*t^7.45)/y + (2*t^7.5)/y + t^7.76/y + (3*t^7.81)/y + t^7.86/y + (2*t^8.07)/y + t^8.12/y + (4*t^8.38)/y + (3*t^8.43)/y - t^8.64/y + (5*t^8.69)/y + (4*t^8.74)/y - t^4.5*y - t^6.57*y - t^6.88*y - t^6.93*y + t^7.19*y + 2*t^7.45*y + 2*t^7.5*y + t^7.76*y + 3*t^7.81*y + t^7.86*y + 2*t^8.07*y + t^8.12*y + 4*t^8.38*y + 3*t^8.43*y - t^8.64*y + 5*t^8.69*y + 4*t^8.74*y | t^2.07/g1^3 + (2*t^2.38)/g1^2 + 2*g1^3*t^2.43 + t^3. + 2*g1*t^3.31 + g1^2*t^3.62 + t^3.88/g1^2 + (2*t^4.14)/g1^6 + t^4.19/g1 + g1^4*t^4.24 + (2*t^4.45)/g1^5 + 2*t^4.5 + (3*t^4.76)/g1^4 + 4*g1*t^4.81 + 3*g1^6*t^4.86 + t^5.07/g1^3 + (4*t^5.38)/g1^2 + 2*g1^3*t^5.43 + (4*t^5.69)/g1 + 3*g1^4*t^5.74 - t^6. + g1^5*t^6.05 + (2*t^6.22)/g1^9 + (2*t^6.26)/g1^4 + 2*g1*t^6.31 + (4*t^6.52)/g1^8 + (4*t^6.57)/g1^3 + 5*g1^2*t^6.62 + 2*g1^7*t^6.67 + (3*t^6.83)/g1^7 + (3*t^6.88)/g1^2 + 3*g1^3*t^6.93 + (5*t^7.14)/g1^6 + (5*t^7.19)/g1 + 5*g1^4*t^7.24 + 4*g1^9*t^7.28 + (4*t^7.45)/g1^5 + t^7.5 + (6*t^7.76)/g1^4 + 4*g1*t^7.81 + 3*g1^6*t^7.86 + t^8.02/g1^8 + (2*t^8.07)/g1^3 + 4*g1^2*t^8.12 + 4*g1^7*t^8.17 + (3*t^8.29)/g1^12 + t^8.33/g1^7 - (2*t^8.38)/g1^2 - 3*g1^3*t^8.43 + 2*g1^8*t^8.48 + (4*t^8.6)/g1^11 + (5*t^8.64)/g1^6 + (4*t^8.69)/g1 + 2*g1^4*t^8.74 + (6*t^8.91)/g1^10 + (5*t^8.95)/g1^5 - t^4.5/y - t^6.57/(g1^3*y) - t^6.88/(g1^2*y) - (g1^3*t^6.93)/y + t^7.19/(g1*y) + (2*t^7.45)/(g1^5*y) + (2*t^7.5)/y + t^7.76/(g1^4*y) + (3*g1*t^7.81)/y + (g1^6*t^7.86)/y + (2*t^8.07)/(g1^3*y) + (g1^2*t^8.12)/y + (4*t^8.38)/(g1^2*y) + (3*g1^3*t^8.43)/y - t^8.64/(g1^6*y) + (5*t^8.69)/(g1*y) + (4*g1^4*t^8.74)/y - t^4.5*y - (t^6.57*y)/g1^3 - (t^6.88*y)/g1^2 - g1^3*t^6.93*y + (t^7.19*y)/g1 + (2*t^7.45*y)/g1^5 + 2*t^7.5*y + (t^7.76*y)/g1^4 + 3*g1*t^7.81*y + g1^6*t^7.86*y + (2*t^8.07*y)/g1^3 + g1^2*t^8.12*y + (4*t^8.38*y)/g1^2 + 3*g1^3*t^8.43*y - (t^8.64*y)/g1^6 + (5*t^8.69*y)/g1 + 4*g1^4*t^8.74*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 3023 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ | 0.6839 | 0.8913 | 0.7673 | [X:[], M:[1.2126, 1.1063, 0.6812, 0.7874, 0.7874, 0.8188, 0.7874], q:[0.75, 0.4312], qb:[0.3563, 0.4626], phi:[0.5]] | t^2.04 + 3*t^2.36 + 2*t^2.46 + t^3. + 2*t^3.32 + t^3.86 + 2*t^4.09 + t^4.18 + t^4.28 + 3*t^4.41 + 2*t^4.5 + 6*t^4.72 + 6*t^4.82 + 3*t^4.91 + t^5.04 + 5*t^5.36 + 2*t^5.46 + 5*t^5.68 + 3*t^5.78 - 3*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 643 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_1M_5$ | 0.6515 | 0.8349 | 0.7802 | [X:[], M:[1.2178, 1.1089, 0.6732, 0.7822, 0.7822], q:[0.75, 0.4232], qb:[0.3589, 0.4678], phi:[0.5]] | t^2.02 + 2*t^2.35 + t^2.48 + t^3. + 2*t^3.33 + t^3.52 + t^3.65 + t^3.85 + 2*t^4.04 + t^4.17 + t^4.31 + 2*t^4.37 + t^4.5 + 3*t^4.69 + 2*t^4.83 + t^4.96 + t^5.02 + 4*t^5.35 + t^5.48 + t^5.54 + 4*t^5.67 + t^5.81 + 2*t^5.87 - t^4.5/y - t^4.5*y | detail |