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 |
|---|---|---|---|---|---|---|---|---|---|
| 1630 | 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_1^2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1q_2$ | 0.6817 | 0.8513 | 0.8007 | [X:[], M:[1.0, 1.1429, 0.8571, 0.7143, 0.8571, 0.8571], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3741/5488, c: 292/343, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, M5: 6/7, M6: 6/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_4M_5$, $ M_4M_6$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_1M_4$, $ M_3M_5$, $ M_5^2$, $ M_3M_6$, $ M_5M_6$, $ M_6^2$, $ M_3\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_1M_5$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_4q_1q_2$ | $M_3q_1q_2$, $ M_5q_1q_2$, $ M_4q_1\tilde{q}_2$ | 2 | t^2.14 + 4*t^2.57 + t^3. + t^3.43 + t^3.86 + 4*t^4.29 + 5*t^4.71 + 11*t^5.14 + 3*t^5.57 + 2*t^6. + 4*t^6.43 + 11*t^6.86 + 13*t^7.29 + 20*t^7.71 + 3*t^8.14 + 2*t^8.57 - t^4.29/y - t^6.43/y - (3*t^6.86)/y + (7*t^7.71)/y + (8*t^8.14)/y + (4*t^8.57)/y - t^4.29*y - t^6.43*y - 3*t^6.86*y + 7*t^7.71*y + 8*t^8.14*y + 4*t^8.57*y | t^2.14 + 4*t^2.57 + t^3. + t^3.43 + t^3.86 + 4*t^4.29 + 5*t^4.71 + 11*t^5.14 + 3*t^5.57 + 2*t^6. + 4*t^6.43 + 11*t^6.86 + 13*t^7.29 + 20*t^7.71 + 3*t^8.14 + 2*t^8.57 - t^4.29/y - t^6.43/y - (3*t^6.86)/y + (7*t^7.71)/y + (8*t^8.14)/y + (4*t^8.57)/y - t^4.29*y - t^6.43*y - 3*t^6.86*y + 7*t^7.71*y + 8*t^8.14*y + 4*t^8.57*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 |
|---|---|---|---|---|---|---|---|---|
| 4022 | $\phi_1q_1^2$ + $ 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_1^2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6q_1q_2$ + $ M_7q_1q_2$ | 0.6942 | 0.8728 | 0.7954 | [X:[], M:[1.0, 1.1429, 0.8571, 0.7143, 0.8571, 0.8571, 0.8571], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | t^2.14 + 5*t^2.57 + t^3. + t^3.86 + 4*t^4.29 + 6*t^4.71 + 16*t^5.14 + 3*t^5.57 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 1905/2744, c: 2395/2744, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, M5: 6/7, M6: 6/7, M7: 6/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1047 | 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_1^2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ | 0.701 | 0.8802 | 0.7964 | [X:[], M:[1.0, 1.1151, 0.9819, 0.6727, 0.8849, 0.6908], q:[0.7788, 0.4334], qb:[0.5666, 0.4515], phi:[0.4424]] | t^2.02 + t^2.07 + 2*t^2.65 + t^2.95 + t^3. + t^3.64 + t^3.69 + 3*t^4.04 + t^4.09 + t^4.14 + t^4.33 + t^4.38 + 2*t^4.67 + 3*t^4.73 + t^4.96 + 2*t^5.02 + t^5.07 + 3*t^5.31 + t^5.6 + 2*t^5.65 + 2*t^5.71 + t^5.76 + t^5.89 - 2*t^6. - t^4.33/y - t^4.33*y | detail |