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 |
|---|---|---|---|---|---|---|---|---|---|
| 4181 | 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_5^2$ + $ M_1M_6$ + $ M_2M_7$ | 0.6068 | 0.7407 | 0.8192 | [X:[], M:[0.7857, 1.1429, 1.0714, 0.9286, 1.0, 1.2143, 0.8571], q:[0.7857, 0.5714], qb:[0.6429, 0.2857], phi:[0.4286]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1665/2744, c: 4065/5488, M1: 11/14, M2: 8/7, M3: 15/14, M4: 13/14, M5: 1, M6: 17/14, M7: 6/7, q1: 11/14, q2: 4/7, qb1: 9/14, qb2: 2/7, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ \phi_1^2$, $ M_4$, $ M_5$, $ M_3$, $ M_6$, $ \phi_1q_2\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ M_4M_7$, $ M_4\phi_1^2$, $ M_4^2$, $ M_5M_7$, $ M_5\phi_1^2$, $ M_4M_5$, $ M_3M_7$, $ M_3\phi_1^2$ | . | -1 | 2*t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.64 + t^3.86 + 2*t^4.07 + t^4.29 + t^4.71 + 3*t^5.14 + 2*t^5.36 + 3*t^5.57 + t^5.79 - t^6. + t^6.21 + t^6.43 + 3*t^6.64 + 3*t^6.86 + t^7.07 + 2*t^7.29 - t^7.5 + 6*t^7.71 + 4*t^7.93 + 5*t^8.14 + 3*t^8.36 - t^8.57 - t^8.79 - t^4.29/y - t^6.86/y + t^7.71/y + t^8.14/y + (2*t^8.36)/y + (2*t^8.57)/y + (3*t^8.79)/y - t^4.29*y - t^6.86*y + t^7.71*y + t^8.14*y + 2*t^8.36*y + 2*t^8.57*y + 3*t^8.79*y | 2*t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.64 + t^3.86 + 2*t^4.07 + t^4.29 + t^4.71 + 3*t^5.14 + 2*t^5.36 + 3*t^5.57 + t^5.79 - t^6. + t^6.21 + t^6.43 + 3*t^6.64 + 3*t^6.86 + t^7.07 + 2*t^7.29 - t^7.5 + 6*t^7.71 + 4*t^7.93 + 5*t^8.14 + 3*t^8.36 - t^8.57 - t^8.79 - t^4.29/y - t^6.86/y + t^7.71/y + t^8.14/y + (2*t^8.36)/y + (2*t^8.57)/y + (3*t^8.79)/y - t^4.29*y - t^6.86*y + t^7.71*y + t^8.14*y + 2*t^8.36*y + 2*t^8.57*y + 3*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 5684 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_5^2$ + $ M_1M_6$ + $ M_2M_7$ + $ M_3M_8$ | 0.6134 | 0.7518 | 0.8159 | [X:[], M:[0.7857, 1.1429, 1.0714, 0.9286, 1.0, 1.2143, 0.8571, 0.9286], q:[0.7857, 0.5714], qb:[0.6429, 0.2857], phi:[0.4286]] | 2*t^2.57 + 2*t^2.79 + t^3. + t^3.64 + t^3.86 + 2*t^4.07 + t^4.29 + t^4.71 + 3*t^5.14 + 4*t^5.36 + 5*t^5.57 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 53859/87808, c: 66011/87808, M1: 11/14, M2: 8/7, M3: 15/14, M4: 13/14, M5: 1, M6: 17/14, M7: 6/7, M8: 13/14, q1: 11/14, q2: 4/7, qb1: 9/14, qb2: 2/7, phi1: 3/7} |
| 5681 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_5^2$ + $ M_1M_6$ + $ M_2M_7$ + $ M_4M_8$ | 0.6002 | 0.7296 | 0.8226 | [X:[], M:[0.7857, 1.1429, 1.0714, 0.9286, 1.0, 1.2143, 0.8571, 1.0714], q:[0.7857, 0.5714], qb:[0.6429, 0.2857], phi:[0.4286]] | 2*t^2.57 + t^3. + 2*t^3.21 + t^3.64 + t^3.86 + 2*t^4.07 + t^4.29 + t^4.71 + 3*t^5.14 + 2*t^5.57 + 2*t^5.79 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 52701/87808, c: 64069/87808, M1: 11/14, M2: 8/7, M3: 15/14, M4: 13/14, M5: 1, M6: 17/14, M7: 6/7, M8: 15/14, q1: 11/14, q2: 4/7, qb1: 9/14, qb2: 2/7, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2185 | 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_5^2$ + $ M_1M_6$ | 0.5942 | 0.7192 | 0.8262 | [X:[], M:[0.7857, 1.1429, 1.0714, 0.9286, 1.0, 1.2143], q:[0.7857, 0.5714], qb:[0.6429, 0.2857], phi:[0.4286]] | t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.43 + t^3.64 + t^3.86 + 2*t^4.07 + t^4.29 + t^4.71 + t^5.14 + t^5.36 + 2*t^5.57 - t^4.29/y - t^4.29*y | detail | {a: 3261/5488, c: 3947/5488, M1: 11/14, M2: 8/7, M3: 15/14, M4: 13/14, M5: 1, M6: 17/14, q1: 11/14, q2: 4/7, qb1: 9/14, qb2: 2/7, phi1: 3/7} |