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 |
|---|---|---|---|---|---|---|---|---|---|
| 55598 | SU2adj1nf3 | $M_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ M_1\tilde{q}_2\tilde{q}_3$ | 0.8592 | 1.0383 | 0.8274 | [X:[], M:[0.8], q:[0.6, 0.6, 0.7333], qb:[0.7333, 0.6, 0.6], phi:[0.5333]] | [X:[], M:[[0, 0, -3, -3]], q:[[-1, 0, 3, 3], [1, 0, 0, 0], [0, -1, 2, 2]], qb:[[0, 1, 0, 0], [0, 0, 3, 0], [0, 0, 0, 3]], phi:[[0, 0, -2, -2]]] | 4 | {a: 1031/1200, c: 623/600, M1: 4/5, q1: 3/5, q2: 3/5, q3: 11/15, qb1: 11/15, qb2: 3/5, qb3: 3/5, phi1: 8/15} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_2\tilde{q}_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_3\tilde{q}_1$, $ M_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ M_1\phi_1^2$ | . | -12 | t^2.4 + t^3.2 + 5*t^3.6 + 8*t^4. + t^4.4 + t^4.8 + 10*t^5.2 + t^5.6 - 12*t^6. + t^6.4 + 6*t^6.8 + 15*t^7.2 + 27*t^7.6 + 26*t^8. + 8*t^8.4 + 34*t^8.8 - t^4.6/y - t^7./y + t^7.4/y - t^7.8/y + t^8.2/y + t^8.6/y - t^4.6*y - t^7.*y + t^7.4*y - t^7.8*y + t^8.2*y + t^8.6*y | t^2.4/(g3^3*g4^3) + t^3.2/(g3^4*g4^4) + g1*g3^3*t^3.6 + g1*g4^3*t^3.6 + g3^3*g4^3*t^3.6 + (g3^6*g4^3*t^3.6)/g1 + (g3^3*g4^6*t^3.6)/g1 + g1*g2*t^4. + g2*g3^3*t^4. + (g1*g3^2*g4^2*t^4.)/g2 + (g3^5*g4^2*t^4.)/g2 + g2*g4^3*t^4. + (g2*g3^3*g4^3*t^4.)/g1 + (g3^2*g4^5*t^4.)/g2 + (g3^5*g4^5*t^4.)/(g1*g2) + g3^2*g4^2*t^4.4 + t^4.8/(g3^6*g4^6) + (g1^2*t^5.2)/(g3^2*g4^2) + (g1*g3*t^5.2)/g4^2 + (g3^4*t^5.2)/g4^2 + (g1*g4*t^5.2)/g3^2 + 2*g3*g4*t^5.2 + (g3^4*g4*t^5.2)/g1 + (g4^4*t^5.2)/g3^2 + (g3*g4^4*t^5.2)/g1 + (g3^4*g4^4*t^5.2)/g1^2 + t^5.6/(g3^7*g4^7) - 4*t^6. - (g1*t^6.)/g3^3 - (g3^3*t^6.)/g1 - (g1*t^6.)/g4^3 - (g1^2*t^6.)/(g3^3*g4^3) - (g3^3*t^6.)/g4^3 - (g4^3*t^6.)/g1 - (g4^3*t^6.)/g3^3 - (g3^3*g4^3*t^6.)/g1^2 + t^6.4/(g3^8*g4^8) + (g1*t^6.8)/(g3*g4^4) + (g1*t^6.8)/(g3^4*g4) + (2*t^6.8)/(g3*g4) + (g3^2*t^6.8)/(g1*g4) + (g4^2*t^6.8)/(g1*g3) + g1^2*g3^6*t^7.2 + t^7.2/(g3^9*g4^9) + g1^2*g3^3*g4^3*t^7.2 + g1*g3^6*g4^3*t^7.2 + g3^9*g4^3*t^7.2 + g1^2*g4^6*t^7.2 + g1*g3^3*g4^6*t^7.2 + 2*g3^6*g4^6*t^7.2 + (g3^9*g4^6*t^7.2)/g1 + (g3^12*g4^6*t^7.2)/g1^2 + g3^3*g4^9*t^7.2 + (g3^6*g4^9*t^7.2)/g1 + (g3^9*g4^9*t^7.2)/g1^2 + (g3^6*g4^12*t^7.2)/g1^2 + g1^2*g2*g3^3*t^7.6 + g1*g2*g3^6*t^7.6 - (g1*t^7.6)/(g3^2*g4^5) - (g1*t^7.6)/(g3^5*g4^2) - t^7.6/(g3^2*g4^2) - (g3*t^7.6)/(g1*g4^2) - (g4*t^7.6)/(g1*g3^2) + (g1^2*g3^5*g4^2*t^7.6)/g2 + (g1*g3^8*g4^2*t^7.6)/g2 + g1^2*g2*g4^3*t^7.6 + 2*g1*g2*g3^3*g4^3*t^7.6 + 2*g2*g3^6*g4^3*t^7.6 + (g2*g3^9*g4^3*t^7.6)/g1 + (g1^2*g3^2*g4^5*t^7.6)/g2 + (2*g1*g3^5*g4^5*t^7.6)/g2 + (2*g3^8*g4^5*t^7.6)/g2 + (g3^11*g4^5*t^7.6)/(g1*g2) + g1*g2*g4^6*t^7.6 + 2*g2*g3^3*g4^6*t^7.6 + (2*g2*g3^6*g4^6*t^7.6)/g1 + (g2*g3^9*g4^6*t^7.6)/g1^2 + (g1*g3^2*g4^8*t^7.6)/g2 + (2*g3^5*g4^8*t^7.6)/g2 + (2*g3^8*g4^8*t^7.6)/(g1*g2) + (g3^11*g4^8*t^7.6)/(g1^2*g2) + (g2*g3^3*g4^9*t^7.6)/g1 + (g2*g3^6*g4^9*t^7.6)/g1^2 + (g3^5*g4^11*t^7.6)/(g1*g2) + (g3^8*g4^11*t^7.6)/(g1^2*g2) + g1^2*g2^2*t^8. + g1*g2^2*g3^3*t^8. + g2^2*g3^6*t^8. + t^8./(g3^10*g4^10) + g1*g3^5*g4^2*t^8. + g1*g2^2*g4^3*t^8. + 2*g2^2*g3^3*g4^3*t^8. + (g2^2*g3^6*g4^3*t^8.)/g1 + (g1^2*g3^4*g4^4*t^8.)/g2^2 + (g1*g3^7*g4^4*t^8.)/g2^2 + (g3^10*g4^4*t^8.)/g2^2 + g1*g3^2*g4^5*t^8. + g3^5*g4^5*t^8. + (g3^8*g4^5*t^8.)/g1 + g2^2*g4^6*t^8. + (g2^2*g3^3*g4^6*t^8.)/g1 + (g2^2*g3^6*g4^6*t^8.)/g1^2 + (g1*g3^4*g4^7*t^8.)/g2^2 + (2*g3^7*g4^7*t^8.)/g2^2 + (g3^10*g4^7*t^8.)/(g1*g2^2) + (g3^5*g4^8*t^8.)/g1 + (g3^4*g4^10*t^8.)/g2^2 + (g3^7*g4^10*t^8.)/(g1*g2^2) + (g3^10*g4^10*t^8.)/(g1^2*g2^2) + t^8.4/g1^2 + t^8.4/g3^6 + t^8.4/(g1*g3^3) + t^8.4/g4^6 + (g1^2*t^8.4)/(g3^6*g4^6) + (g1*t^8.4)/(g3^3*g4^6) + t^8.4/(g1*g4^3) + (g1*t^8.4)/(g3^6*g4^3) + t^8.8/(g3^11*g4^11) + (g1^3*g3*t^8.8)/g4^2 + (g1^2*g3^4*t^8.8)/g4^2 + (g1*g3^7*t^8.8)/g4^2 + (g1^3*g4*t^8.8)/g3^2 + 2*g1^2*g3*g4*t^8.8 + 3*g1*g3^4*g4*t^8.8 + 2*g3^7*g4*t^8.8 + (g3^10*g4*t^8.8)/g1 - g2^2*g3^2*g4^2*t^8.8 + (g1^2*g4^4*t^8.8)/g3^2 + 3*g1*g3*g4^4*t^8.8 + 3*g3^4*g4^4*t^8.8 + (3*g3^7*g4^4*t^8.8)/g1 + (g3^10*g4^4*t^8.8)/g1^2 - (g3^6*g4^6*t^8.8)/g2^2 + (g1*g4^7*t^8.8)/g3^2 + 2*g3*g4^7*t^8.8 + (3*g3^4*g4^7*t^8.8)/g1 + (2*g3^7*g4^7*t^8.8)/g1^2 + (g3^10*g4^7*t^8.8)/g1^3 + (g3*g4^10*t^8.8)/g1 + (g3^4*g4^10*t^8.8)/g1^2 + (g3^7*g4^10*t^8.8)/g1^3 - t^4.6/(g3^2*g4^2*y) - t^7./(g3^5*g4^5*y) + (g3^2*g4^2*t^7.4)/y - t^7.8/(g3^6*g4^6*y) + (g3*g4*t^8.2)/y + t^8.6/(g3^7*g4^7*y) - (t^4.6*y)/(g3^2*g4^2) - (t^7.*y)/(g3^5*g4^5) + g3^2*g4^2*t^7.4*y - (t^7.8*y)/(g3^6*g4^6) + g3*g4*t^8.2*y + (t^8.6*y)/(g3^7*g4^7) |
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 |
|---|---|---|---|---|---|---|---|---|
| 55744 | $M_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ M_1\tilde{q}_2\tilde{q}_3$ + $ M_1\phi_1^2$ | 0.8544 | 1.0419 | 0.82 | [X:[], M:[0.8571], q:[0.5714, 0.5714, 0.7143], qb:[0.7143, 0.5714, 0.5714], phi:[0.5714]] | t^2.57 + 6*t^3.43 + 8*t^3.86 + t^4.29 + 11*t^5.14 - 11*t^6. - t^4.71/y - t^4.71*y | detail | {a: 4689/5488, c: 2859/2744, M1: 6/7, q1: 4/7, q2: 4/7, q3: 5/7, qb1: 5/7, qb2: 4/7, qb3: 4/7, phi1: 4/7} |
| 55722 | $M_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ + $ M_1\tilde{q}_2\tilde{q}_3$ + $ \phi_1q_2^2$ | 0.8364 | 1.0115 | 0.827 | [X:[], M:[0.7717], q:[0.4856, 0.7428, 0.7428], qb:[0.7428, 0.6142, 0.6142], phi:[0.5144]] | t^2.31 + t^3.09 + 2*t^3.3 + 3*t^3.69 + 6*t^4.07 + 4*t^4.46 + t^4.63 + 2*t^4.84 + 3*t^5.23 + t^5.4 - 5*t^6. - t^4.54/y - t^4.54*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55451 | SU2adj1nf3 | $M_1q_1q_2$ + $ \phi_1q_3\tilde{q}_1$ | 0.8602 | 1.0422 | 0.8254 | [X:[], M:[0.7683], q:[0.6158, 0.6158, 0.732], qb:[0.732, 0.5801, 0.5801], phi:[0.536]] | t^2.3 + t^3.22 + t^3.48 + 4*t^3.59 + 4*t^3.94 + 4*t^4.04 + t^4.39 + t^4.61 + 3*t^5.09 + 4*t^5.2 + 3*t^5.3 + t^5.52 + t^5.79 - 9*t^6. - t^4.61/y - t^4.61*y | detail |