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 |
|---|---|---|---|---|---|---|---|---|---|
| 1214 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6309 | 0.7794 | 0.8094 | [X:[], M:[1.1884, 0.773, 0.8116, 0.8116, 1.227, 0.7923], q:[0.8019, 0.4251], qb:[0.3865, 0.8019], phi:[0.3961]] | [X:[], M:[[-6], [-14], [6], [6], [14], [-4]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ M_5$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_4M_6$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$ | $\phi_1\tilde{q}_2^2$ | -1 | 2*t^2.38 + 2*t^2.43 + t^3.51 + t^3.57 + 2*t^3.68 + t^3.74 + 3*t^4.75 + 5*t^4.81 + 3*t^4.87 + t^5.88 + 2*t^5.94 - t^6. + 2*t^6.06 + 5*t^6.12 + 2*t^6.17 + t^7.01 + 2*t^7.13 + 6*t^7.19 + 6*t^7.25 + 2*t^7.3 + 2*t^7.36 + 2*t^7.42 + t^7.48 + t^8.26 + t^8.32 - 3*t^8.38 - 3*t^8.43 + 5*t^8.49 + 8*t^8.55 + 3*t^8.61 - t^4.19/y - (2*t^6.57)/y - t^6.62/y + (2*t^7.75)/y + (6*t^7.81)/y + t^7.87/y + (2*t^8.88)/y + t^8.94/y - t^4.19*y - 2*t^6.57*y - t^6.62*y + 2*t^7.75*y + 6*t^7.81*y + t^7.87*y + 2*t^8.88*y + t^8.94*y | (2*t^2.38)/g1^4 + 2*g1^6*t^2.43 + t^3.51/g1^16 + t^3.57/g1^6 + 2*g1^14*t^3.68 + g1^24*t^3.74 + (3*t^4.75)/g1^8 + 5*g1^2*t^4.81 + 3*g1^12*t^4.87 + t^5.88/g1^20 + (2*t^5.94)/g1^10 - t^6. + 2*g1^10*t^6.06 + 5*g1^20*t^6.12 + 2*g1^30*t^6.17 + t^7.01/g1^32 + (2*t^7.13)/g1^12 + (6*t^7.19)/g1^2 + 6*g1^8*t^7.25 + 2*g1^18*t^7.3 + 2*g1^28*t^7.36 + 2*g1^38*t^7.42 + g1^48*t^7.48 + t^8.26/g1^24 + t^8.32/g1^14 - (3*t^8.38)/g1^4 - 3*g1^6*t^8.43 + 5*g1^16*t^8.49 + 8*g1^26*t^8.55 + 3*g1^36*t^8.61 - t^4.19/(g1^2*y) - (2*t^6.57)/(g1^6*y) - (g1^4*t^6.62)/y + (2*t^7.75)/(g1^8*y) + (6*g1^2*t^7.81)/y + (g1^12*t^7.87)/y + (2*t^8.88)/(g1^20*y) + t^8.94/(g1^10*y) - (t^4.19*y)/g1^2 - (2*t^6.57*y)/g1^6 - g1^4*t^6.62*y + (2*t^7.75*y)/g1^8 + 6*g1^2*t^7.81*y + g1^12*t^7.87*y + (2*t^8.88*y)/g1^20 + (t^8.94*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2276 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6505 | 0.8155 | 0.7976 | [X:[], M:[1.1798, 0.7529, 0.8202, 0.8202, 1.2471, 0.7865, 0.7192], q:[0.8034, 0.4438], qb:[0.3764, 0.8034], phi:[0.3933]] | t^2.16 + 2*t^2.36 + 2*t^2.46 + t^3.44 + t^3.54 + 2*t^3.74 + t^4.32 + 2*t^4.52 + 2*t^4.62 + 3*t^4.72 + 5*t^4.82 + 3*t^4.92 + t^5.6 + t^5.7 + t^5.8 + 4*t^5.9 - t^6. - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 738 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ | 0.614 | 0.75 | 0.8186 | [X:[], M:[1.1914, 0.78, 0.8086, 0.8086, 1.22], q:[0.8014, 0.4186], qb:[0.39, 0.8014], phi:[0.3971]] | t^2.38 + 2*t^2.43 + t^3.53 + t^3.57 + t^3.62 + 2*t^3.66 + t^3.7 + t^4.77 + 3*t^4.81 + 3*t^4.85 + t^5.96 - t^4.19/y - t^4.19*y | detail |