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 |
|---|---|---|---|---|---|---|---|---|---|
| 397 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6338 | 0.802 | 0.7903 | [X:[], M:[1.2058, 1.1029, 0.7942, 0.7058], q:[0.75, 0.4413], qb:[0.3529, 0.4558], phi:[0.5]] | [X:[], M:[[2], [1], [-2], [2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_4q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_4q_1q_2$, $ M_3q_1\tilde{q}_1$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $M_3q_1\tilde{q}_2$ | 0 | t^2.12 + t^2.38 + t^2.43 + t^3. + 2*t^3.31 + t^3.57 + 2*t^3.62 + t^3.93 + t^4.15 + t^4.19 + 2*t^4.23 + t^4.5 + t^4.54 + t^4.77 + t^4.81 + t^4.85 + t^5.12 + t^5.38 + 3*t^5.43 + 2*t^5.69 + 3*t^5.73 + 2*t^6.04 + t^6.31 + 3*t^6.35 + t^6.53 + t^6.57 + 5*t^6.62 + 2*t^6.66 + t^6.88 + 4*t^6.93 + t^6.97 + 2*t^7.15 + 5*t^7.23 + t^7.28 + 5*t^7.54 + t^7.72 + t^7.77 + 2*t^7.81 + 6*t^7.85 - t^8.12 + 4*t^8.16 + t^8.3 + t^8.34 + t^8.43 + 5*t^8.47 - t^8.69 + 4*t^8.73 + 3*t^8.78 + t^8.91 - t^4.5/y - t^6.62/y + t^7.19/y + t^7.5/y + t^7.54/y + t^8.12/y + (2*t^8.38)/y + (3*t^8.43)/y + (3*t^8.69)/y + (3*t^8.73)/y + t^8.96/y - t^4.5*y - t^6.62*y + t^7.19*y + t^7.5*y + t^7.54*y + t^8.12*y + 2*t^8.38*y + 3*t^8.43*y + 3*t^8.69*y + 3*t^8.73*y + t^8.96*y | g1^2*t^2.12 + t^2.38/g1^2 + g1^3*t^2.43 + t^3. + 2*g1*t^3.31 + t^3.57/g1^3 + 2*g1^2*t^3.62 + g1^3*t^3.93 + t^4.15/g1^6 + t^4.19/g1 + 2*g1^4*t^4.23 + t^4.5 + g1^5*t^4.54 + t^4.77/g1^4 + g1*t^4.81 + g1^6*t^4.85 + g1^2*t^5.12 + t^5.38/g1^2 + 3*g1^3*t^5.43 + (2*t^5.69)/g1 + 3*g1^4*t^5.73 + 2*g1^5*t^6.04 + g1*t^6.31 + 3*g1^6*t^6.35 + t^6.53/g1^8 + t^6.57/g1^3 + 5*g1^2*t^6.62 + 2*g1^7*t^6.66 + t^6.88/g1^2 + 4*g1^3*t^6.93 + g1^8*t^6.97 + (2*t^7.15)/g1^6 + 5*g1^4*t^7.23 + g1^9*t^7.28 + 5*g1^5*t^7.54 + t^7.72/g1^9 + t^7.77/g1^4 + 2*g1*t^7.81 + 6*g1^6*t^7.85 - g1^2*t^8.12 + 4*g1^7*t^8.16 + t^8.3/g1^12 + t^8.34/g1^7 + g1^3*t^8.43 + 5*g1^8*t^8.47 - t^8.69/g1 + 4*g1^4*t^8.73 + 3*g1^9*t^8.78 + t^8.91/g1^10 - t^4.5/y - (g1^2*t^6.62)/y + t^7.19/(g1*y) + t^7.5/y + (g1^5*t^7.54)/y + (g1^2*t^8.12)/y + (2*t^8.38)/(g1^2*y) + (3*g1^3*t^8.43)/y + (3*t^8.69)/(g1*y) + (3*g1^4*t^8.73)/y + t^8.96/(g1^5*y) - t^4.5*y - g1^2*t^6.62*y + (t^7.19*y)/g1 + t^7.5*y + g1^5*t^7.54*y + g1^2*t^8.12*y + (2*t^8.38*y)/g1^2 + 3*g1^3*t^8.43*y + (3*t^8.69*y)/g1 + 3*g1^4*t^8.73*y + (t^8.96*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 641 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6545 | 0.842 | 0.7773 | [X:[], M:[1.2082, 1.1041, 0.7918, 0.7082, 0.6877], q:[0.75, 0.4377], qb:[0.3541, 0.4582], phi:[0.5]] | t^2.06 + t^2.12 + t^2.38 + t^2.44 + t^3. + 2*t^3.31 + t^3.56 + 2*t^3.62 + 2*t^4.13 + 2*t^4.19 + 2*t^4.25 + t^4.44 + 2*t^4.5 + t^4.56 + t^4.75 + t^4.81 + t^4.87 + t^5.06 + t^5.12 + 3*t^5.38 + 3*t^5.44 + t^5.63 + 4*t^5.69 + 3*t^5.75 - t^4.5/y - t^4.5*y | detail | |
| 1837 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1q_2$ | 0.6503 | 0.8327 | 0.7809 | [X:[], M:[1.1937, 1.0968, 0.8063, 0.6937, 0.7905], q:[0.75, 0.4595], qb:[0.3468, 0.4437], phi:[0.5]] | t^2.08 + 2*t^2.37 + t^2.42 + t^3. + 2*t^3.29 + 2*t^3.58 + t^3.87 + 2*t^4.16 + t^4.21 + t^4.26 + 2*t^4.45 + t^4.5 + 3*t^4.74 + 2*t^4.79 + t^4.84 + t^5.08 + 4*t^5.37 + t^5.42 + 5*t^5.66 + t^5.71 + 4*t^5.95 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 24639/37888, c: 31551/37888, M1: 265/222, M2: 487/444, M3: 179/222, M4: 77/111, M5: 117/148, q1: 3/4, q2: 17/37, qb1: 77/222, qb2: 197/444, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 248 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ | 0.6134 | 0.7631 | 0.8038 | [X:[], M:[1.2089, 1.1045, 0.7911], q:[0.75, 0.4366], qb:[0.3545, 0.4589], phi:[0.5]] | t^2.37 + t^2.44 + t^3. + 2*t^3.31 + t^3.56 + 2*t^3.63 + t^3.87 + t^3.94 + t^4.12 + t^4.19 + t^4.25 + t^4.75 + t^4.81 + t^4.88 + t^5.37 + t^5.44 + t^5.69 + t^5.75 - t^4.5/y - t^4.5*y | detail |