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 |
|---|---|---|---|---|---|---|---|---|---|
| 1639 | 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_4q_1q_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ | 0.7025 | 0.89 | 0.7893 | [X:[], M:[0.849, 1.151, 0.9714, 0.7265, 0.849, 0.849, 0.7265], q:[0.7878, 0.4857], qb:[0.6653, 0.3633], phi:[0.4245]] | [X:[], M:[[-4], [4], [-14], [6], [-4], [-4], [6]], q:[[1], [-7]], qb:[[11], [3]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_3$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ M_4M_6$, $ M_1M_7$, $ M_5M_7$, $ M_6M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_3M_4$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_3M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ M_1M_3$, $ M_3M_5$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_7\phi_1\tilde{q}_2^2$, $ M_3^2$ | $M_1\phi_1\tilde{q}_2^2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_6\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$ | 0 | 2*t^2.18 + 4*t^2.55 + t^2.91 + t^3.45 + t^4.19 + 5*t^4.36 + 9*t^4.73 + 11*t^5.09 + t^5.27 + 3*t^5.46 + t^5.63 + t^5.83 - t^6.37 + 7*t^6.54 + 3*t^6.73 + 16*t^6.91 + t^7.1 + 21*t^7.27 + 2*t^7.45 + 20*t^7.64 + 3*t^7.81 + 8*t^8.01 - 8*t^8.18 + 4*t^8.38 - 11*t^8.55 + 10*t^8.72 + t^8.74 - 6*t^8.91 - t^4.27/y - (2*t^6.45)/y - (3*t^6.82)/y - t^7.19/y + (2*t^7.36)/y + (11*t^7.73)/y + (10*t^8.09)/y + (4*t^8.46)/y - t^8.63/y - t^4.27*y - 2*t^6.45*y - 3*t^6.82*y - t^7.19*y + 2*t^7.36*y + 11*t^7.73*y + 10*t^8.09*y + 4*t^8.46*y - t^8.63*y | 2*g1^6*t^2.18 + (4*t^2.55)/g1^4 + t^2.91/g1^14 + g1^4*t^3.45 + t^4.19/g1^16 + 5*g1^12*t^4.36 + 9*g1^2*t^4.73 + (11*t^5.09)/g1^8 + g1^20*t^5.27 + (3*t^5.46)/g1^18 + g1^10*t^5.63 + t^5.83/g1^28 - t^6.37/g1^10 + 7*g1^18*t^6.54 + (3*t^6.73)/g1^20 + 16*g1^8*t^6.91 + t^7.1/g1^30 + (21*t^7.27)/g1^2 + 2*g1^26*t^7.45 + (20*t^7.64)/g1^12 + 3*g1^16*t^7.81 + (8*t^8.01)/g1^22 - 8*g1^6*t^8.18 + (4*t^8.38)/g1^32 - (11*t^8.55)/g1^4 + 10*g1^24*t^8.72 + t^8.74/g1^42 - (6*t^8.91)/g1^14 - t^4.27/(g1^2*y) - (2*g1^4*t^6.45)/y - (3*t^6.82)/(g1^6*y) - t^7.19/(g1^16*y) + (2*g1^12*t^7.36)/y + (11*g1^2*t^7.73)/y + (10*t^8.09)/(g1^8*y) + (4*t^8.46)/(g1^18*y) - (g1^10*t^8.63)/y - (t^4.27*y)/g1^2 - 2*g1^4*t^6.45*y - (3*t^6.82*y)/g1^6 - (t^7.19*y)/g1^16 + 2*g1^12*t^7.36*y + 11*g1^2*t^7.73*y + (10*t^8.09*y)/g1^8 + (4*t^8.46*y)/g1^18 - g1^10*t^8.63*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 |
|---|---|---|---|---|---|---|---|---|
| 4031 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_4q_1q_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6795 | 0.867 | 0.7837 | [X:[], M:[0.8, 1.2, 0.8, 0.8, 0.8, 0.8, 0.8], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | 7*t^2.4 + 2*t^3.6 + 29*t^4.8 + 5*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1359/2000, c: 867/1000, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, M5: 4/5, M6: 4/5, M7: 4/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1053 | 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_4q_1q_2$ + $ M_6q_1\tilde{q}_2$ | 0.6827 | 0.8534 | 0.8 | [X:[], M:[0.8464, 1.1536, 0.9625, 0.7304, 0.8464, 0.8464], q:[0.7884, 0.4812], qb:[0.6723, 0.3652], phi:[0.4232]] | t^2.19 + 4*t^2.54 + t^2.89 + t^3.46 + t^3.81 + t^4.16 + 3*t^4.38 + 5*t^4.73 + 10*t^5.08 + t^5.3 + 3*t^5.43 + t^5.77 + t^6. - t^4.27/y - t^4.27*y | detail |