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 |
|---|---|---|---|---|---|---|---|---|---|
| 661 | 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$ | 0.6695 | 0.8304 | 0.8062 | [X:[], M:[0.8506, 1.1494, 0.977, 0.7241, 0.8506], q:[0.7874, 0.4885], qb:[0.6609, 0.3621], phi:[0.4253]] | [X:[], M:[[-4], [4], [-14], [6], [-4]], q:[[1], [-7]], qb:[[11], [3]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_3M_4$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ M_1M_3$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_3^2$ | $M_1q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_5\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$ | 3 | t^2.17 + 3*t^2.55 + t^2.93 + 2*t^3.45 + t^3.83 + t^4.21 + 3*t^4.34 + 4*t^4.72 + 6*t^5.1 + t^5.24 + 2*t^5.48 + t^5.62 + t^5.86 + 3*t^6. + 2*t^6.38 + 2*t^6.52 + 3*t^6.76 + 6*t^6.9 + t^7.14 + 7*t^7.28 + t^7.41 + 9*t^7.66 + 4*t^7.79 + 5*t^8.03 - t^8.17 + 3*t^8.41 + 4*t^8.69 + t^8.79 + t^8.93 - t^4.28/y - t^6.45/y - (2*t^6.83)/y - t^7.21/y + t^7.34/y + (5*t^7.72)/y + (5*t^8.1)/y + (3*t^8.48)/y + t^8.62/y - t^4.28*y - t^6.45*y - 2*t^6.83*y - t^7.21*y + t^7.34*y + 5*t^7.72*y + 5*t^8.1*y + 3*t^8.48*y + t^8.62*y | g1^6*t^2.17 + (3*t^2.55)/g1^4 + t^2.93/g1^14 + 2*g1^4*t^3.45 + t^3.83/g1^6 + t^4.21/g1^16 + 3*g1^12*t^4.34 + 4*g1^2*t^4.72 + (6*t^5.1)/g1^8 + g1^20*t^5.24 + (2*t^5.48)/g1^18 + g1^10*t^5.62 + t^5.86/g1^28 + 3*t^6. + (2*t^6.38)/g1^10 + 2*g1^18*t^6.52 + (3*t^6.76)/g1^20 + 6*g1^8*t^6.9 + t^7.14/g1^30 + (7*t^7.28)/g1^2 + g1^26*t^7.41 + (9*t^7.66)/g1^12 + 4*g1^16*t^7.79 + (5*t^8.03)/g1^22 - g1^6*t^8.17 + (3*t^8.41)/g1^32 + 4*g1^24*t^8.69 + t^8.79/g1^42 + t^8.93/g1^14 - t^4.28/(g1^2*y) - (g1^4*t^6.45)/y - (2*t^6.83)/(g1^6*y) - t^7.21/(g1^16*y) + (g1^12*t^7.34)/y + (5*g1^2*t^7.72)/y + (5*t^8.1)/(g1^8*y) + (3*t^8.48)/(g1^18*y) + (g1^10*t^8.62)/y - (t^4.28*y)/g1^2 - g1^4*t^6.45*y - (2*t^6.83*y)/g1^6 - (t^7.21*y)/g1^16 + g1^12*t^7.34*y + 5*g1^2*t^7.72*y + (5*t^8.1*y)/g1^8 + (3*t^8.48*y)/g1^18 + g1^10*t^8.62*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 |
|---|---|---|---|---|---|---|---|---|
| 1054 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ | 0.6465 | 0.809 | 0.7991 | [X:[], M:[0.8, 1.2, 0.8, 0.8, 0.8], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | 5*t^2.4 + 4*t^3.6 + 16*t^4.8 + 11*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1293/2000, c: 809/1000, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, M5: 4/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |
| 1053 | $\phi_1q_1^2$ + $ 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 411 | 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$ | 0.6814 | 0.8416 | 0.8096 | [X:[], M:[0.9657, 1.1263, 0.9657, 0.6895, 0.8737], q:[0.7816, 0.4368], qb:[0.5974, 0.4368], phi:[0.4368]] | t^2.07 + 2*t^2.62 + 2*t^2.9 + 2*t^3.66 + 2*t^3.93 + 2*t^4.14 + 2*t^4.41 + 2*t^4.69 + t^4.9 + 2*t^4.97 + 3*t^5.24 + 2*t^5.52 + 2*t^5.72 + 3*t^5.79 - 3*t^6. - t^4.31/y - t^4.31*y | detail |