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 |
|---|---|---|---|---|---|---|---|---|---|
| 857 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ \phi_1q_2^3\tilde{q}_1$ | 0.5905 | 0.7724 | 0.7646 | [X:[], M:[0.9091, 1.2727, 0.9091, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 786/1331, c: 1028/1331, M1: 10/11, M2: 14/11, M3: 10/11, M4: 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 |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_2M_4$, $ M_3q_1\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$, $ M_3q_1\tilde{q}_2$, $ M_4\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_4\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$, $ \phi_1q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2^3$ | 10 | 3*t^2.18 + 2*t^2.73 + 2*t^3.27 + 6*t^3.82 + 6*t^4.36 + 6*t^4.91 + 8*t^5.45 + 10*t^6. + 16*t^6.55 + 13*t^7.09 + 22*t^7.64 + 14*t^8.18 + 16*t^8.73 - t^4.64/y + (2*t^7.36)/y + (7*t^7.91)/y + (7*t^8.45)/y - t^4.64*y + 2*t^7.36*y + 7*t^7.91*y + 7*t^8.45*y | 3*t^2.18 + 2*t^2.73 + 2*t^3.27 + 6*t^3.82 + 6*t^4.36 + 6*t^4.91 + 8*t^5.45 + 10*t^6. + 16*t^6.55 + 13*t^7.09 + 22*t^7.64 + 14*t^8.18 + 16*t^8.73 - t^4.64/y + (2*t^7.36)/y + (7*t^7.91)/y + (7*t^8.45)/y - t^4.64*y + 2*t^7.36*y + 7*t^7.91*y + 7*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 |
|---|---|---|---|---|---|---|---|---|
| 2029 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ \phi_1q_2^3\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.5988 | 0.7863 | 0.7616 | [X:[], M:[0.9091, 1.2727, 0.9091, 0.7273, 0.9091], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 3*t^2.18 + 3*t^2.73 + t^3.27 + 6*t^3.82 + 6*t^4.36 + 9*t^4.91 + 8*t^5.45 + 9*t^6. - t^4.64/y - t^4.64*y | detail | {a: 12753/21296, c: 8373/10648, M1: 10/11, M2: 14/11, M3: 10/11, M4: 8/11, M5: 10/11, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 546 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ | 0.594 | 0.7723 | 0.7691 | [X:[], M:[0.9215, 1.2355, 0.9215, 0.7645], q:[0.7304, 0.3481], qb:[0.3481, 0.4164], phi:[0.5392]] | t^2.09 + 2*t^2.29 + 2*t^2.76 + t^3.24 + t^3.44 + 3*t^3.71 + 2*t^3.91 + t^4.12 + t^4.18 + 2*t^4.38 + 3*t^4.59 + 2*t^4.85 + 4*t^5.06 + t^5.32 + 5*t^5.53 + 2*t^5.73 + t^5.79 + 3*t^6. - t^4.62/y - t^4.62*y | detail |