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 |
|---|---|---|---|---|---|---|---|---|---|
| 378 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_3M_5$ | 0.6283 | 0.7599 | 0.8268 | [X:[], M:[1.2867, 0.7014, 0.7373, 0.6894, 1.2627], q:[0.8217, 0.8217], qb:[0.477, 0.453], phi:[0.3567]] | [X:[], M:[[4, 4], [-7, -1], [2, -10], [-10, 2], [-2, 10]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4^2$, $ M_2M_4$, $ M_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4M_5$, $ M_2M_5$, $ M_4q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_1M_4$, $ M_2q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_4q_2\tilde{q}_1$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ | $M_2q_2\tilde{q}_1$ | -2 | t^2.07 + t^2.1 + t^2.79 + t^3.79 + 2*t^3.82 + 2*t^3.86 + t^3.9 + t^4.14 + t^4.17 + t^4.21 + t^4.86 + t^4.89 + t^4.93 + t^5.58 + t^5.86 + 3*t^5.89 + 3*t^5.93 + t^5.96 - 2*t^6. - 2*t^6.04 - t^6.07 + t^6.2 + t^6.24 + t^6.28 + t^6.31 + t^6.58 + 2*t^6.61 + 2*t^6.65 + t^6.69 + t^6.93 + t^6.96 + t^7. - t^7.03 - 2*t^7.07 - 2*t^7.11 - t^7.14 + t^7.58 + 2*t^7.61 + 5*t^7.65 + 4*t^7.68 + 3*t^7.72 + t^7.92 + 3*t^7.96 + 4*t^8. + 2*t^8.03 - 2*t^8.07 - 4*t^8.1 - 2*t^8.14 - t^8.18 + t^8.27 + t^8.31 + t^8.34 + t^8.37 + t^8.38 + t^8.42 + t^8.65 + 3*t^8.68 + 3*t^8.72 + t^8.75 - 2*t^8.79 - 3*t^8.83 - 2*t^8.86 + t^8.99 - t^4.07/y - t^6.14/y - t^6.17/y + t^7.17/y + t^7.86/y + t^7.89/y + t^7.97/y + t^8./y - t^8.21/y - t^8.24/y - t^8.28/y + t^8.86/y + (3*t^8.89)/y + (4*t^8.93)/y + (3*t^8.96)/y - t^4.07*y - t^6.14*y - t^6.17*y + t^7.17*y + t^7.86*y + t^7.89*y + t^7.97*y + t^8.*y - t^8.21*y - t^8.24*y - t^8.28*y + t^8.86*y + 3*t^8.89*y + 4*t^8.93*y + 3*t^8.96*y | (g2^2*t^2.07)/g1^10 + t^2.1/(g1^7*g2) + g1^6*g2^6*t^2.79 + (g2^10*t^3.79)/g1^2 + 2*g1*g2^7*t^3.82 + 2*g1^4*g2^4*t^3.86 + g1^7*g2*t^3.9 + (g2^4*t^4.14)/g1^20 + (g2*t^4.17)/g1^17 + t^4.21/(g1^14*g2^2) + (g2^8*t^4.86)/g1^4 + (g2^5*t^4.89)/g1 + g1^2*g2^2*t^4.93 + g1^12*g2^12*t^5.58 + (g2^12*t^5.86)/g1^12 + (3*g2^9*t^5.89)/g1^9 + (3*g2^6*t^5.93)/g1^6 + (g2^3*t^5.96)/g1^3 - 2*t^6. - (2*g1^3*t^6.04)/g2^3 - (g1^6*t^6.07)/g2^6 + (g2^6*t^6.2)/g1^30 + (g2^3*t^6.24)/g1^27 + t^6.28/g1^24 + t^6.31/(g1^21*g2^3) + g1^4*g2^16*t^6.58 + 2*g1^7*g2^13*t^6.61 + 2*g1^10*g2^10*t^6.65 + g1^13*g2^7*t^6.69 + (g2^10*t^6.93)/g1^14 + (g2^7*t^6.96)/g1^11 + (g2^4*t^7.)/g1^8 - (g2*t^7.03)/g1^5 - (2*t^7.07)/(g1^2*g2^2) - (2*g1*t^7.11)/g2^5 - (g1^4*t^7.14)/g2^8 + (g2^20*t^7.58)/g1^4 + (2*g2^17*t^7.61)/g1 + 5*g1^2*g2^14*t^7.65 + 4*g1^5*g2^11*t^7.68 + 3*g1^8*g2^8*t^7.72 + (g2^14*t^7.92)/g1^22 + (3*g2^11*t^7.96)/g1^19 + (4*g2^8*t^8.)/g1^16 + (2*g2^5*t^8.03)/g1^13 - (2*g2^2*t^8.07)/g1^10 - (4*t^8.1)/(g1^7*g2) - (2*t^8.14)/(g1^4*g2^4) - t^8.18/(g1*g2^7) + (g2^8*t^8.27)/g1^40 + (g2^5*t^8.31)/g1^37 + (g2^2*t^8.34)/g1^34 + g1^18*g2^18*t^8.37 + t^8.38/(g1^31*g2) + t^8.42/(g1^28*g2^4) + (g2^18*t^8.65)/g1^6 + (3*g2^15*t^8.68)/g1^3 + 3*g2^12*t^8.72 + g1^3*g2^9*t^8.75 - 2*g1^6*g2^6*t^8.79 - 3*g1^9*g2^3*t^8.83 - 2*g1^12*t^8.86 + (g2^12*t^8.99)/g1^24 - t^4.07/(g1^2*g2^2*y) - t^6.14/(g1^12*y) - t^6.17/(g1^9*g2^3*y) + (g2*t^7.17)/(g1^17*y) + (g2^8*t^7.86)/(g1^4*y) + (g2^5*t^7.89)/(g1*y) + (g1^5*t^7.97)/(g2*y) + (g1^8*t^8.)/(g2^4*y) - (g2^2*t^8.21)/(g1^22*y) - t^8.24/(g1^19*g2*y) - t^8.28/(g1^16*g2^4*y) + (g2^12*t^8.86)/(g1^12*y) + (3*g2^9*t^8.89)/(g1^9*y) + (4*g2^6*t^8.93)/(g1^6*y) + (3*g2^3*t^8.96)/(g1^3*y) - (t^4.07*y)/(g1^2*g2^2) - (t^6.14*y)/g1^12 - (t^6.17*y)/(g1^9*g2^3) + (g2*t^7.17*y)/g1^17 + (g2^8*t^7.86*y)/g1^4 + (g2^5*t^7.89*y)/g1 + (g1^5*t^7.97*y)/g2 + (g1^8*t^8.*y)/g2^4 - (g2^2*t^8.21*y)/g1^22 - (t^8.24*y)/(g1^19*g2) - (t^8.28*y)/(g1^16*g2^4) + (g2^12*t^8.86*y)/g1^12 + (3*g2^9*t^8.89*y)/g1^9 + (4*g2^6*t^8.93*y)/g1^6 + (3*g2^3*t^8.96*y)/g1^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1832 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_1$ | 0.6489 | 0.7994 | 0.8117 | [X:[], M:[1.2905, 0.6959, 0.7366, 0.6824, 1.2634, 0.6959], q:[0.8226, 0.8226], qb:[0.4814, 0.4543], phi:[0.3548]] | t^2.05 + 2*t^2.09 + t^2.81 + t^3.79 + 2*t^3.83 + 2*t^3.87 + t^4.09 + 2*t^4.13 + 3*t^4.18 + t^4.85 + 2*t^4.9 + t^4.94 + t^5.61 + t^5.84 + 4*t^5.88 + 5*t^5.92 + 2*t^5.96 - 3*t^6. - t^4.06/y - t^4.06*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 |
|---|---|---|---|---|---|---|---|---|---|
| 235 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6484 | 0.7955 | 0.8151 | [X:[], M:[1.2971, 0.7005, 0.7076, 0.6981], q:[0.8243, 0.8243], qb:[0.4752, 0.4705], phi:[0.3514]] | t^2.09 + t^2.1 + t^2.12 + t^2.84 + 2*t^3.88 + 2*t^3.89 + t^3.9 + t^4.19 + 2*t^4.2 + 2*t^4.22 + t^4.25 + t^4.93 + t^4.94 + t^4.95 + t^4.96 + t^5.67 + 2*t^5.98 + 4*t^5.99 - 2*t^6. - t^4.05/y - t^4.05*y | detail |