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 |
|---|---|---|---|---|---|---|---|---|---|
| 4324 | 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_4M_5$ + $ M_1^2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_7$ + $ M_8X_2$ | 0.5644 | 0.692 | 0.8157 | [X:[1.6531, 1.3062], M:[1.0, 0.3469, 0.7344, 1.0406, 0.9594, 0.6938, 1.2656, 0.6938], q:[0.6938, 0.9594], qb:[0.3062, 0.6531], phi:[0.3469]] | [X:[[1], [2]], M:[[0], [-1], [-5], [-3], [3], [-2], [5], [-2]], q:[[-2], [3]], qb:[[2], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_8$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_7$, $ q_1\tilde{q}_2$, $ M_6^2$, $ M_6M_8$, $ M_8^2$, $ q_2\tilde{q}_2$, $ M_5M_6$, $ M_5M_8$, $ q_1q_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_8\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_1M_6$, $ M_1M_8$, $ M_5^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_5$, $ M_6M_7$, $ M_7M_8$, $ M_1\tilde{q}_1\tilde{q}_2$ | . | -3 | 2*t^2.08 + 2*t^2.88 + t^3. + t^3.8 + t^4.04 + 3*t^4.16 + t^4.84 + 5*t^4.96 + t^5.08 + 3*t^5.76 + 3*t^5.88 - 3*t^6. + 4*t^6.24 + 2*t^6.67 + t^6.92 + 6*t^7.04 + t^7.59 + t^7.72 + 6*t^7.84 + t^7.96 - 5*t^8.08 + 5*t^8.33 + 5*t^8.63 + 4*t^8.76 - 8*t^8.88 - t^4.04/y - (2*t^6.12)/y + t^7.16/y + (6*t^7.96)/y + (2*t^8.08)/y - (3*t^8.2)/y + t^8.76/y + (4*t^8.88)/y - t^4.04*y - 2*t^6.12*y + t^7.16*y + 6*t^7.96*y + 2*t^8.08*y - 3*t^8.2*y + t^8.76*y + 4*t^8.88*y | (2*t^2.08)/g1^2 + 2*g1^3*t^2.88 + t^3. + g1^5*t^3.8 + t^4.04/g1 + (3*t^4.16)/g1^4 + g1^4*t^4.84 + 5*g1*t^4.96 + t^5.08/g1^2 + 3*g1^6*t^5.76 + 3*g1^3*t^5.88 - 3*t^6. + (4*t^6.24)/g1^6 + 2*g1^8*t^6.67 + g1^2*t^6.92 + (6*t^7.04)/g1 + g1^10*t^7.59 + g1^7*t^7.72 + 6*g1^4*t^7.84 + g1*t^7.96 - (5*t^8.08)/g1^2 + (5*t^8.33)/g1^8 + 5*g1^9*t^8.63 + 4*g1^6*t^8.76 - 8*g1^3*t^8.88 - t^4.04/(g1*y) - (2*t^6.12)/(g1^3*y) + t^7.16/(g1^4*y) + (6*g1*t^7.96)/y + (2*t^8.08)/(g1^2*y) - (3*t^8.2)/(g1^5*y) + (g1^6*t^8.76)/y + (4*g1^3*t^8.88)/y - (t^4.04*y)/g1 - (2*t^6.12*y)/g1^3 + (t^7.16*y)/g1^4 + 6*g1*t^7.96*y + (2*t^8.08*y)/g1^2 - (3*t^8.2*y)/g1^5 + g1^6*t^8.76*y + 4*g1^3*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 5771 | $\phi_1q_1q_2$ + $ 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_4M_5$ + $ M_1^2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_7$ + $ M_8X_2$ + $ M_7M_9$ | 0.5845 | 0.7293 | 0.8015 | [X:[1.6583, 1.3167], M:[1.0, 0.3417, 0.7083, 1.025, 0.975, 0.6833, 1.2917, 0.6833, 0.7083], q:[0.6833, 0.975], qb:[0.3167, 0.6583], phi:[0.3417]] | 2*t^2.05 + t^2.12 + 2*t^2.92 + t^3. + t^4.02 + 3*t^4.1 + 2*t^4.18 + t^4.25 + t^4.9 + 5*t^4.98 + 3*t^5.05 + t^5.12 + 3*t^5.85 + t^5.92 - 3*t^6. - t^4.02/y - t^4.02*y | detail | {a: 89779/153600, c: 112019/153600, X1: 199/120, X2: 79/60, M1: 1, M2: 41/120, M3: 17/24, M4: 41/40, M5: 39/40, M6: 41/60, M7: 31/24, M8: 41/60, M9: 17/24, q1: 41/60, q2: 39/40, qb1: 19/60, qb2: 79/120, phi1: 41/120} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2315 | 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_4M_5$ + $ M_1^2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_7$ | 0.5438 | 0.6527 | 0.8332 | [X:[1.6516, 1.3032], M:[1.0, 0.3484, 0.742, 1.0452, 0.9548, 0.6968, 1.258], q:[0.6968, 0.9548], qb:[0.3032, 0.6516], phi:[0.3484]] | t^2.09 + 2*t^2.86 + t^3. + t^3.77 + t^3.91 + t^4.05 + t^4.18 + t^4.82 + 3*t^4.95 + 3*t^5.73 + 2*t^5.86 - 2*t^6. - t^4.05/y - t^4.05*y | detail |