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 |
|---|---|---|---|---|---|---|---|---|---|
| 4423 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ \phi_1q_2^3\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.6335 | 0.8551 | 0.7409 | [X:[], M:[0.9091, 1.2727, 1.0909, 0.7273, 0.7273, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 13491/21296, c: 9105/10648, M1: 10/11, M2: 14/11, M3: 12/11, M4: 8/11, M5: 8/11, M6: 8/11, M7: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_6$, $ M_7$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4M_6$, $ M_5M_6$, $ M_6^2$, $ M_4M_7$, $ M_5M_7$, $ M_6M_7$, $ M_7^2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_4$, $ M_3M_5$, $ M_3M_6$, $ M_3M_7$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ M_7q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_6\phi_1\tilde{q}_2^2$, $ M_7\phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2^3$ | 6 | 6*t^2.18 + 4*t^3.27 + 3*t^3.82 + 21*t^4.36 + 23*t^5.45 + 6*t^6. + 57*t^6.55 + t^7.09 + 67*t^7.64 - 9*t^8.18 + 131*t^8.73 - t^4.64/y - (3*t^6.82)/y + (16*t^7.36)/y - t^7.91/y + (27*t^8.45)/y - t^4.64*y - 3*t^6.82*y + 16*t^7.36*y - t^7.91*y + 27*t^8.45*y | 6*t^2.18 + 4*t^3.27 + 3*t^3.82 + 21*t^4.36 + 23*t^5.45 + 6*t^6. + 57*t^6.55 + t^7.09 + 67*t^7.64 - 9*t^8.18 + 131*t^8.73 - t^4.64/y - (3*t^6.82)/y + (16*t^7.36)/y - t^7.91/y + (27*t^8.45)/y - t^4.64*y - 3*t^6.82*y + 16*t^7.36*y - t^7.91*y + 27*t^8.45*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 |
|---|---|---|---|---|---|---|---|---|
| 5928 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ \phi_1q_2^3\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6534 | 0.892 | 0.7325 | [X:[], M:[0.9091, 1.2727, 1.0909, 0.7273, 0.7273, 0.7273, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 7*t^2.18 + 4*t^3.27 + 2*t^3.82 + 28*t^4.36 + 27*t^5.45 + 2*t^6. - t^4.64/y - t^4.64*y | detail | {a: 6957/10648, c: 4749/5324, M1: 10/11, M2: 14/11, M3: 12/11, M4: 8/11, M5: 8/11, M6: 8/11, M7: 8/11, M8: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2395 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ \phi_1q_2^3\tilde{q}_2$ | 0.6136 | 0.8182 | 0.75 | [X:[], M:[0.9091, 1.2727, 1.0909, 0.7273, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 5*t^2.18 + 4*t^3.27 + 4*t^3.82 + 15*t^4.36 + 19*t^5.45 + 8*t^6. - t^4.64/y - t^4.64*y | detail | {a: 27/44, c: 9/11, M1: 10/11, M2: 14/11, M3: 12/11, M4: 8/11, M5: 8/11, M6: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11} |