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 |
|---|---|---|---|---|---|---|---|---|---|
| 623 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5664 | 0.6971 | 0.8125 | [X:[1.6364], M:[0.9091, 0.3636, 1.0909, 0.7273], q:[0.8182, 0.8182], qb:[0.2727, 0.6364], phi:[0.3636]] | [X:[[0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 12063/21296, c: 7423/10648, X1: 18/11, M1: 10/11, M2: 4/11, M3: 12/11, M4: 8/11, q1: 9/11, q2: 9/11, qb1: 3/11, qb2: 7/11, phi1: 4/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ q_2\tilde{q}_1$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_1M_4$, $ M_1\phi_1^2$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_1^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $M_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$ | 0 | 2*t^2.18 + 2*t^2.73 + 2*t^3.27 + 5*t^4.36 + 5*t^4.91 + 5*t^5.45 + 6*t^6.55 + 7*t^7.09 + 8*t^7.64 - t^8.18 + 5*t^8.73 - t^4.09/y - (2*t^6.27)/y + t^7.36/y + (6*t^7.91)/y + (2*t^8.45)/y - t^4.09*y - 2*t^6.27*y + t^7.36*y + 6*t^7.91*y + 2*t^8.45*y | 2*t^2.18 + 2*t^2.73 + 2*t^3.27 + 5*t^4.36 + 5*t^4.91 + 5*t^5.45 + 6*t^6.55 + 7*t^7.09 + 8*t^7.64 - t^8.18 + 5*t^8.73 - t^4.09/y - (2*t^6.27)/y + t^7.36/y + (6*t^7.91)/y + (2*t^8.45)/y - t^4.09*y - 2*t^6.27*y + t^7.36*y + 6*t^7.91*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 1004 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_5$ | 0.5748 | 0.7111 | 0.8082 | [X:[1.6364], M:[0.9091, 0.3636, 1.0909, 0.7273, 0.9091], q:[0.8182, 0.8182], qb:[0.2727, 0.6364], phi:[0.3636]] | 2*t^2.18 + 3*t^2.73 + t^3.27 + 5*t^4.36 + 7*t^4.91 + 6*t^5.45 - t^6. - t^4.09/y - t^4.09*y | detail | {a: 765/1331, c: 1893/2662, X1: 18/11, M1: 10/11, M2: 4/11, M3: 12/11, M4: 8/11, M5: 10/11, q1: 9/11, q2: 9/11, qb1: 3/11, qb2: 7/11, phi1: 4/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 384 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.5466 | 0.6602 | 0.8279 | [X:[1.6364], M:[0.9091, 0.3636, 1.0909], q:[0.8182, 0.8182], qb:[0.2727, 0.6364], phi:[0.3636]] | t^2.18 + 2*t^2.73 + 2*t^3.27 + t^3.82 + 3*t^4.36 + 3*t^4.91 + 3*t^5.45 + t^6. - t^4.09/y - t^4.09*y | detail | {a: 1455/2662, c: 3515/5324, X1: 18/11, M1: 10/11, M2: 4/11, M3: 12/11, q1: 9/11, q2: 9/11, qb1: 3/11, qb2: 7/11, phi1: 4/11} |