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 |
|---|---|---|---|---|---|---|---|---|---|
| 776 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_1M_4$ + $ M_3M_4$ | 0.535 | 0.6373 | 0.8395 | [X:[1.6364, 1.2727], M:[0.9091, 0.3636, 0.9091, 1.0909], q:[0.8182, 0.8182], qb:[0.2727, 0.6364], phi:[0.3636]] | [X:[[0], [0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 5697/10648, c: 3393/5324, X1: 18/11, X2: 14/11, M1: 10/11, M2: 4/11, M3: 10/11, M4: 12/11, 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 |
|---|---|---|---|---|
| $M_1$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1q_2$, $ X_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | . | -1 | 3*t^2.73 + t^3.27 + 2*t^3.82 + 2*t^4.36 + t^4.91 + 4*t^5.45 - t^6. + 2*t^6.55 + 3*t^7.09 + 2*t^7.64 + 6*t^8.18 - 2*t^8.73 - t^4.09/y - t^6.82/y + t^7.36/y + (3*t^8.45)/y - t^4.09*y - t^6.82*y + t^7.36*y + 3*t^8.45*y | 3*t^2.73 + t^3.27 + 2*t^3.82 + 2*t^4.36 + t^4.91 + 4*t^5.45 - t^6. + 2*t^6.55 + 3*t^7.09 + 2*t^7.64 + 6*t^8.18 - 2*t^8.73 - t^4.09/y - t^6.82/y + t^7.36/y + (3*t^8.45)/y - t^4.09*y - t^6.82*y + t^7.36*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 1262 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_1M_4$ + $ M_3M_4$ + $ M_4M_5$ | 0.5433 | 0.6513 | 0.8342 | [X:[1.6364, 1.2727], M:[0.9091, 0.3636, 0.9091, 1.0909, 0.9091], q:[0.8182, 0.8182], qb:[0.2727, 0.6364], phi:[0.3636]] | 4*t^2.73 + 2*t^3.82 + 2*t^4.36 + t^4.91 + 8*t^5.45 - 4*t^6. - t^4.09/y - t^4.09*y | detail | {a: 11571/21296, c: 6935/10648, X1: 18/11, X2: 14/11, M1: 10/11, M2: 4/11, M3: 10/11, M4: 12/11, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 485 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_1M_4$ | 0.5465 | 0.65 | 0.8409 | [X:[1.655, 1.31], M:[0.965, 0.345, 0.76, 1.035], q:[0.725, 0.93], qb:[0.31, 0.655], phi:[0.345]] | t^2.28 + 2*t^2.9 + t^3.1 + 2*t^3.93 + t^4.14 + t^4.56 + t^4.76 + t^4.97 + t^5.17 + t^5.38 + 2*t^5.79 - 2*t^6. - t^4.03/y - t^4.03*y | detail |