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 |
|---|---|---|---|---|---|---|---|---|---|
| 3620 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_1X_1$ | 0.603 | 0.753 | 0.8008 | [X:[1.4], M:[0.6, 1.0, 0.8, 0.8, 1.2, 0.8, 1.0], q:[0.9, 0.5], qb:[0.3, 0.7], phi:[0.4]] | [X:[[2]], M:[[-2], [2], [-4], [4], [0], [0], [-2]], q:[[3], [-1]], qb:[[1], [-3]], phi:[[0]]] | 1 | {a: 603/1000, c: 753/1000, X1: 7/5, M1: 3/5, M2: 1, M3: 4/5, M4: 4/5, M5: 6/5, M6: 4/5, M7: 1, q1: 9/10, q2: 1/2, qb1: 3/10, qb2: 7/10, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_7$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_6^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_6$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_3M_7$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_6M_7$, $ M_7\phi_1^2$, $ M_2M_6$, $ M_4M_7$, $ M_2\phi_1^2$, $ \phi_1q_1q_2$, $ M_2M_4$ | $M_2^2$, $ M_7^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_1$, $ \phi_1^3q_2\tilde{q}_1$ | 2 | 4*t^2.4 + 2*t^3. + t^3.6 + 2*t^4.2 + 11*t^4.8 + 6*t^5.4 + 2*t^6. + 4*t^6.6 + 20*t^7.2 + 10*t^7.8 - t^8.4 - t^4.2/y - (3*t^6.6)/y + (9*t^7.8)/y + (8*t^8.4)/y - t^4.2*y - 3*t^6.6*y + 9*t^7.8*y + 8*t^8.4*y | 2*t^2.4 + t^2.4/g1^4 + g1^4*t^2.4 + t^3./g1^2 + g1^2*t^3. + t^3.6 + t^4.2/g1^2 + g1^2*t^4.2 + 5*t^4.8 + t^4.8/g1^8 + (2*t^4.8)/g1^4 + 2*g1^4*t^4.8 + g1^8*t^4.8 + t^5.4/g1^6 + (2*t^5.4)/g1^2 + 2*g1^2*t^5.4 + g1^6*t^5.4 + t^6./g1^4 + g1^4*t^6. + t^6.6/g1^6 + t^6.6/g1^2 + g1^2*t^6.6 + g1^6*t^6.6 + 6*t^7.2 + t^7.2/g1^12 + (2*t^7.2)/g1^8 + (4*t^7.2)/g1^4 + 4*g1^4*t^7.2 + 2*g1^8*t^7.2 + g1^12*t^7.2 + t^7.8/g1^10 + (2*t^7.8)/g1^6 + (2*t^7.8)/g1^2 + 2*g1^2*t^7.8 + 2*g1^6*t^7.8 + g1^10*t^7.8 - t^8.4 + t^8.4/g1^8 - t^8.4/g1^4 - g1^4*t^8.4 + g1^8*t^8.4 - t^4.2/y - t^6.6/y - t^6.6/(g1^4*y) - (g1^4*t^6.6)/y + (3*t^7.8)/y + (3*t^7.8)/(g1^4*y) + (3*g1^4*t^7.8)/y + t^8.4/(g1^6*y) + (3*t^8.4)/(g1^2*y) + (3*g1^2*t^8.4)/y + (g1^6*t^8.4)/y - t^4.2*y - t^6.6*y - (t^6.6*y)/g1^4 - g1^4*t^6.6*y + 3*t^7.8*y + (3*t^7.8*y)/g1^4 + 3*g1^4*t^7.8*y + (t^8.4*y)/g1^6 + (3*t^8.4*y)/g1^2 + 3*g1^2*t^8.4*y + g1^6*t^8.4*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 |
|---|---|---|---|---|---|---|---|---|
| 5328 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_1X_1$ + $ M_2M_8$ | 0.6037 | 0.7545 | 0.8 | [X:[1.4139], M:[0.5861, 1.0139, 0.7723, 0.8277, 1.2, 0.8, 0.9861, 0.9861], q:[0.9208, 0.4931], qb:[0.3069, 0.6792], phi:[0.4]] | t^2.32 + 2*t^2.4 + t^2.48 + 2*t^2.96 + t^3.6 + t^4.16 + t^4.24 + t^4.63 + 2*t^4.72 + 5*t^4.8 + 2*t^4.88 + t^4.97 + 2*t^5.28 + 3*t^5.36 + t^5.44 + 3*t^5.92 - t^6. - t^4.2/y - t^4.2*y | detail | |
| 5329 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_1X_1$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6195 | 0.782 | 0.7922 | [X:[1.4], M:[0.6, 1.0, 0.8, 0.8, 1.2, 0.8, 1.0, 0.8], q:[0.9, 0.5], qb:[0.3, 0.7], phi:[0.4]] | 5*t^2.4 + 2*t^3. + 2*t^4.2 + 16*t^4.8 + 8*t^5.4 - 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1239/2000, c: 391/500, X1: 7/5, M1: 3/5, M2: 1, M3: 4/5, M4: 4/5, M5: 6/5, M6: 4/5, M7: 1, M8: 4/5, q1: 9/10, q2: 1/2, qb1: 3/10, qb2: 7/10, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2996 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6806 | 0.8702 | 0.782 | [X:[], M:[0.8175, 0.7825, 0.7825, 0.8175, 1.2, 0.8, 0.7651], q:[0.8, 0.3825], qb:[0.4175, 0.8], phi:[0.4]] | t^2.3 + 2*t^2.35 + 2*t^2.4 + 2*t^2.45 + t^3.5 + t^3.6 + t^4.59 + 2*t^4.64 + 5*t^4.7 + 6*t^4.75 + 8*t^4.8 + 4*t^4.85 + 3*t^4.9 + t^5.79 + 2*t^5.84 + 2*t^5.9 + 2*t^5.95 - t^6. - t^4.2/y - t^4.2*y | detail |