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 |
|---|---|---|---|---|---|---|---|---|---|
| 50948 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6644 | 0.8389 | 0.792 | [X:[], M:[1.1879, 0.8121, 0.8121, 0.7717, 0.7717, 0.8324], q:[0.3858, 0.4263], qb:[0.802, 0.802], phi:[0.396]] | [X:[], M:[[-6], [6], [6], [-14], [-14], [16]], q:[[-7], [13]], qb:[[1], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_6$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_4$, $ M_3M_4$, $ M_2M_5$, $ M_3M_5$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_6$, $ M_5M_6$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_3M_6$, $ M_6^2$, $ M_1M_4$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_4\phi_1q_1q_2$, $ M_5\phi_1q_1q_2$ | $M_1M_2$, $ \phi_1^3q_1q_2$, $ \phi_1\tilde{q}_1^2$ | 0 | 2*t^2.31 + t^2.38 + 2*t^2.44 + t^2.5 + t^3.56 + t^3.62 + t^3.75 + 3*t^4.63 + 2*t^4.69 + 5*t^4.75 + 5*t^4.81 + 4*t^4.87 + 2*t^4.93 + t^4.99 + t^5.88 + t^5.94 + 3*t^6.06 + t^6.12 + 2*t^6.18 + t^6.24 + 4*t^6.94 + 3*t^7.01 + 7*t^7.07 + 8*t^7.13 + 8*t^7.19 + 6*t^7.25 + 7*t^7.31 + 4*t^7.37 + 2*t^7.43 + 2*t^7.49 + t^8.19 - 4*t^8.31 - 3*t^8.44 + t^8.5 + 3*t^8.56 + 4*t^8.62 + 2*t^8.68 + t^8.74 - t^4.19/y - (2*t^6.5)/y - t^6.56/y - t^6.62/y - t^6.69/y + t^7.63/y + (3*t^7.69)/y + (5*t^7.75)/y + (5*t^7.81)/y + (4*t^7.87)/y + (2*t^7.93)/y - (3*t^8.82)/y - t^4.19*y - 2*t^6.5*y - t^6.56*y - t^6.62*y - t^6.69*y + t^7.63*y + 3*t^7.69*y + 5*t^7.75*y + 5*t^7.81*y + 4*t^7.87*y + 2*t^7.93*y - 3*t^8.82*y | (2*t^2.31)/g1^14 + t^2.38/g1^4 + 2*g1^6*t^2.44 + g1^16*t^2.5 + t^3.56/g1^6 + g1^4*t^3.62 + g1^24*t^3.75 + (3*t^4.63)/g1^28 + (2*t^4.69)/g1^18 + (5*t^4.75)/g1^8 + 5*g1^2*t^4.81 + 4*g1^12*t^4.87 + 2*g1^22*t^4.93 + g1^32*t^4.99 + t^5.88/g1^20 + t^5.94/g1^10 + 3*g1^10*t^6.06 + g1^20*t^6.12 + 2*g1^30*t^6.18 + g1^40*t^6.24 + (4*t^6.94)/g1^42 + (3*t^7.01)/g1^32 + (7*t^7.07)/g1^22 + (8*t^7.13)/g1^12 + (8*t^7.19)/g1^2 + 6*g1^8*t^7.25 + 7*g1^18*t^7.31 + 4*g1^28*t^7.37 + 2*g1^38*t^7.43 + 2*g1^48*t^7.49 + t^8.19/g1^34 - (4*t^8.31)/g1^14 - 3*g1^6*t^8.44 + g1^16*t^8.5 + 3*g1^26*t^8.56 + 4*g1^36*t^8.62 + 2*g1^46*t^8.68 + g1^56*t^8.74 - t^4.19/(g1^2*y) - (2*t^6.5)/(g1^16*y) - t^6.56/(g1^6*y) - (g1^4*t^6.62)/y - (g1^14*t^6.69)/y + t^7.63/(g1^28*y) + (3*t^7.69)/(g1^18*y) + (5*t^7.75)/(g1^8*y) + (5*g1^2*t^7.81)/y + (4*g1^12*t^7.87)/y + (2*g1^22*t^7.93)/y - (3*t^8.82)/(g1^30*y) - (t^4.19*y)/g1^2 - (2*t^6.5*y)/g1^16 - (t^6.56*y)/g1^6 - g1^4*t^6.62*y - g1^14*t^6.69*y + (t^7.63*y)/g1^28 + (3*t^7.69*y)/g1^18 + (5*t^7.75*y)/g1^8 + 5*g1^2*t^7.81*y + 4*g1^12*t^7.87*y + 2*g1^22*t^7.93*y - (3*t^8.82*y)/g1^30 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56087 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_1q_2$ | 0.6814 | 0.8689 | 0.7842 | [X:[], M:[1.1858, 0.8142, 0.8142, 0.767, 0.767, 0.8378, 0.7906], q:[0.3835, 0.4307], qb:[0.8024, 0.8024], phi:[0.3953]] | 2*t^2.3 + 2*t^2.37 + 2*t^2.44 + t^2.51 + t^3.56 + t^3.77 + 3*t^4.6 + 4*t^4.67 + 7*t^4.74 + 7*t^4.81 + 5*t^4.88 + 2*t^4.96 + t^5.03 + t^5.86 - t^6. - t^4.19/y - t^4.19*y | detail | |
| 56086 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_7\phi_1^2$ | 0.6475 | 0.8091 | 0.8002 | [X:[], M:[1.1899, 0.8101, 0.8101, 0.7764, 0.7764, 0.827, 1.2067], q:[0.3882, 0.4219], qb:[0.8017, 0.8017], phi:[0.3966]] | 2*t^2.33 + 2*t^2.43 + t^2.48 + t^3.57 + 2*t^3.62 + t^3.72 + 3*t^4.66 + 4*t^4.76 + 3*t^4.81 + 3*t^4.86 + 2*t^4.91 + t^4.96 + t^5.9 + 2*t^5.95 - t^6. - t^4.19/y - t^4.19*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48168 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ | 0.6733 | 0.8548 | 0.7876 | [X:[], M:[1.1492, 0.7116, 0.8508, 0.8206, 0.6814, 0.7963], q:[0.4103, 0.4405], qb:[0.8781, 0.7389], phi:[0.3831]] | t^2.04 + t^2.13 + t^2.3 + t^2.39 + t^2.46 + t^2.55 + t^3.45 + t^3.7 + t^3.79 + t^4.09 + t^4.18 + t^4.27 + t^4.34 + 2*t^4.43 + t^4.51 + t^4.52 + 3*t^4.6 + 2*t^4.69 + t^4.76 + t^4.78 + 3*t^4.85 + t^4.92 + t^4.94 + t^5.01 + t^5.1 + t^5.49 + t^5.58 + t^5.75 + 2*t^5.84 + t^5.93 - t^6. - t^4.15/y - t^4.15*y | detail |