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 |
|---|---|---|---|---|---|---|---|---|---|
| 547 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6104 | 0.7857 | 0.777 | [X:[], M:[0.9695, 1.0916, 0.9695, 0.7424], q:[0.7424, 0.2881], qb:[0.4542, 0.4542], phi:[0.5153]] | [X:[], M:[[4], [-12], [4], [1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_2^2$ | -3 | 3*t^2.23 + 2*t^2.91 + 2*t^3.27 + 2*t^3.59 + t^3.77 + 3*t^4.27 + 6*t^4.45 + 6*t^5.14 + 4*t^5.5 + 8*t^5.82 - 3*t^6. + 2*t^6.18 + 9*t^6.5 + 3*t^6.55 + 8*t^6.68 + 6*t^7.18 + 9*t^7.36 - t^7.55 + 6*t^7.73 + 4*t^7.86 + 15*t^8.04 - 12*t^8.23 + 2*t^8.41 + 5*t^8.54 + 20*t^8.73 + 5*t^8.78 - 2*t^8.91 - t^4.55/y - t^6.77/y + t^7.27/y + (2*t^7.45)/y + t^7.64/y - t^7.82/y + (6*t^8.14)/y + t^8.32/y + (6*t^8.5)/y + (7*t^8.82)/y - t^4.55*y - t^6.77*y + t^7.27*y + 2*t^7.45*y + t^7.64*y - t^7.82*y + 6*t^8.14*y + t^8.32*y + 6*t^8.5*y + 7*t^8.82*y | 3*g1*t^2.23 + 2*g1^4*t^2.91 + (2*t^3.27)/g1^12 + 2*g1^7*t^3.59 + t^3.77/g1 + 3*g1^10*t^4.27 + 6*g1^2*t^4.45 + 6*g1^5*t^5.14 + (4*t^5.5)/g1^11 + 8*g1^8*t^5.82 - 3*t^6. + (2*t^6.18)/g1^8 + 9*g1^11*t^6.5 + (3*t^6.55)/g1^24 + 8*g1^3*t^6.68 + 6*g1^14*t^7.18 + 9*g1^6*t^7.36 - t^7.55/g1^2 + (6*t^7.73)/g1^10 + 4*g1^17*t^7.86 + 15*g1^9*t^8.04 - 12*g1*t^8.23 + (2*t^8.41)/g1^7 + 5*g1^20*t^8.54 + 20*g1^12*t^8.73 + (5*t^8.78)/g1^23 - 2*g1^4*t^8.91 - t^4.55/(g1^2*y) - t^6.77/(g1*y) + (g1^10*t^7.27)/y + (2*g1^2*t^7.45)/y + t^7.64/(g1^6*y) - t^7.82/(g1^14*y) + (6*g1^5*t^8.14)/y + t^8.32/(g1^3*y) + (6*t^8.5)/(g1^11*y) + (7*g1^8*t^8.82)/y - (t^4.55*y)/g1^2 - (t^6.77*y)/g1 + g1^10*t^7.27*y + 2*g1^2*t^7.45*y + (t^7.64*y)/g1^6 - (t^7.82*y)/g1^14 + 6*g1^5*t^8.14*y + (t^8.32*y)/g1^3 + (6*t^8.5*y)/g1^11 + 7*g1^8*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 859 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4M_5$ | 0.5911 | 0.7501 | 0.788 | [X:[], M:[0.9703, 1.0891, 0.9703, 0.7426, 1.2574], q:[0.7426, 0.2871], qb:[0.4555, 0.4555], phi:[0.5148]] | 2*t^2.23 + 2*t^2.91 + 2*t^3.27 + 2*t^3.59 + 2*t^3.77 + 3*t^4.28 + 3*t^4.46 + 4*t^5.14 + 2*t^5.49 + 6*t^5.82 - 2*t^6. - t^4.54/y - t^4.54*y | detail | |
| 860 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6298 | 0.8212 | 0.7669 | [X:[], M:[0.9687, 1.094, 0.9687, 0.7422, 0.7422], q:[0.7422, 0.2892], qb:[0.453, 0.453], phi:[0.5157]] | 4*t^2.23 + 2*t^2.91 + 2*t^3.28 + 2*t^3.59 + 3*t^4.26 + 10*t^4.45 + 8*t^5.13 + 6*t^5.51 + 10*t^5.81 - 6*t^6. - t^4.55/y - t^4.55*y | detail | |
| 1904 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ | 0.6272 | 0.8147 | 0.7699 | [X:[], M:[0.978, 1.0661, 0.978, 0.7445, 0.7886], q:[0.7445, 0.2775], qb:[0.4669, 0.4669], phi:[0.511]] | 3*t^2.23 + t^2.37 + 2*t^2.93 + 2*t^3.2 + t^3.63 + t^3.77 + 3*t^4.33 + 6*t^4.47 + 3*t^4.6 + t^4.73 + 6*t^5.17 + 2*t^5.3 + 4*t^5.43 + 2*t^5.56 + 5*t^5.87 - 2*t^6. - t^4.53/y - t^4.53*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 |
|---|---|---|---|---|---|---|---|---|---|
| 346 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6106 | 0.7864 | 0.7765 | [X:[], M:[0.9696, 1.0912, 0.9696, 0.7332], q:[0.7424, 0.288], qb:[0.4636, 0.4453], phi:[0.5152]] | 2*t^2.2 + t^2.25 + 2*t^2.91 + 2*t^3.27 + t^3.56 + t^3.62 + t^3.75 + t^4.22 + t^4.27 + t^4.33 + 3*t^4.4 + 2*t^4.45 + t^4.51 + 4*t^5.11 + 2*t^5.16 + 3*t^5.47 + t^5.53 + 2*t^5.76 + 5*t^5.82 + t^5.87 + t^5.95 - 3*t^6. - t^4.55/y - t^4.55*y | detail |