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 |
|---|---|---|---|---|---|---|---|---|---|
| 682 | 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_1^2$ + $ M_2M_4$ + $ M_3M_4$ | 0.6483 | 0.7847 | 0.8262 | [X:[], M:[1.0, 1.0909, 1.0909, 0.9091], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 6903/10648, c: 8355/10648, M1: 1, M2: 12/11, M3: 12/11, M4: 10/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$ | $M_3\phi_1^2$ | -2 | 2*t^2.73 + t^3. + t^3.27 + t^3.55 + 3*t^3.82 + 2*t^4.09 + 3*t^4.36 + 3*t^5.45 - 2*t^6. + 5*t^6.55 + 5*t^6.82 + 6*t^7.09 + 2*t^7.36 + 4*t^7.64 + 5*t^7.91 + 10*t^8.18 + t^8.45 - 2*t^8.73 - t^4.36/y + t^8.45/y + (2*t^8.73)/y - t^4.36*y + t^8.45*y + 2*t^8.73*y | 2*t^2.73 + t^3. + t^3.27 + t^3.55 + 3*t^3.82 + 2*t^4.09 + 3*t^4.36 + 3*t^5.45 - 2*t^6. + 5*t^6.55 + 5*t^6.82 + 6*t^7.09 + 2*t^7.36 + 4*t^7.64 + 5*t^7.91 + 10*t^8.18 + t^8.45 - 2*t^8.73 - t^4.36/y + t^8.45/y + (2*t^8.73)/y - t^4.36*y + t^8.45*y + 2*t^8.73*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 |
|---|---|---|---|---|---|---|---|---|
| 1097 | $\phi_1q_1^2$ + $ 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_1^2$ + $ M_2M_4$ + $ M_3M_4$ + $ M_3M_5$ | 0.6566 | 0.7986 | 0.8221 | [X:[], M:[1.0, 1.0909, 1.0909, 0.9091, 0.9091], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | 3*t^2.73 + t^3. + t^3.55 + 3*t^3.82 + 2*t^4.09 + 3*t^4.36 + 6*t^5.45 + t^5.73 - 4*t^6. - t^4.36/y - t^4.36*y | detail | {a: 13983/21296, c: 1063/1331, M1: 1, M2: 12/11, M3: 12/11, M4: 10/11, M5: 10/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11} |
| 1098 | $\phi_1q_1^2$ + $ 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_1^2$ + $ M_2M_4$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6682 | 0.8216 | 0.8133 | [X:[], M:[1.0, 1.0909, 1.0909, 0.9091, 0.7273], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | t^2.18 + 2*t^2.73 + t^3. + t^3.27 + t^3.55 + 2*t^3.82 + 2*t^4.09 + 4*t^4.36 + 2*t^4.91 + t^5.18 + 4*t^5.45 + t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 14229/21296, c: 2187/2662, M1: 1, M2: 12/11, M3: 12/11, M4: 10/11, M5: 8/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 416 | 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_1^2$ + $ M_2M_4$ | 0.6597 | 0.7994 | 0.8252 | [X:[], M:[1.0, 1.1177, 0.9704, 0.8823], q:[0.7794, 0.4264], qb:[0.5736, 0.456], phi:[0.4412]] | 2*t^2.65 + t^2.91 + t^3. + t^3.62 + t^3.71 + t^3.88 + t^3.97 + 2*t^4.06 + t^4.32 + t^4.41 + t^4.77 + 3*t^5.29 + t^5.56 + t^5.65 + t^5.82 - 2*t^6. - t^4.32/y - t^4.32*y | detail |