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 |
|---|---|---|---|---|---|---|---|---|---|
| 61 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_1q_1q_2$ | 0.6696 | 0.8036 | 0.8333 | [X:[], M:[0.7619], q:[0.8095, 0.4286], qb:[0.619, 0.619], phi:[0.381]] | [X:[], M:[[-4, -4]], q:[[1, 1], [3, 3]], qb:[[4, 0], [0, 4]], phi:[[-2, -2]]] | 2 | {a: 75/112, c: 45/56, M1: 16/21, q1: 17/21, q2: 3/7, qb1: 13/21, qb2: 13/21, phi1: 8/21} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1q_2\tilde{q}_1$, $ M_1q_2\tilde{q}_2$ | $M_1\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | -2 | 2*t^2.29 + 2*t^3.14 + 2*t^3.71 + 4*t^4.29 + 3*t^4.57 + 3*t^4.86 + 2*t^5.43 - 2*t^6. + 3*t^6.29 + 8*t^6.86 + t^7.14 + 8*t^7.43 + 8*t^8. - 3*t^8.29 + 7*t^8.57 - t^4.14/y - (2*t^6.43)/y + t^7.57/y + (2*t^7.86)/y + (4*t^8.43)/y - (3*t^8.71)/y - t^4.14*y - 2*t^6.43*y + t^7.57*y + 2*t^7.86*y + 4*t^8.43*y - 3*t^8.71*y | (2*t^2.29)/(g1^4*g2^4) + g1^7*g2^3*t^3.14 + g1^3*g2^7*t^3.14 + 2*g1^4*g2^4*t^3.71 + 2*g1^5*g2*t^4.29 + 2*g1*g2^5*t^4.29 + (3*t^4.57)/(g1^8*g2^8) + (g1^6*t^4.86)/g2^2 + g1^2*g2^2*t^4.86 + (g2^6*t^4.86)/g1^2 + (g1^3*t^5.43)/g2 + (g2^3*t^5.43)/g1 - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 + g1^14*g2^6*t^6.29 + g1^10*g2^10*t^6.29 + g1^6*g2^14*t^6.29 + (4*t^6.86)/(g1^12*g2^12) + 2*g1^11*g2^7*t^6.86 + 2*g1^7*g2^11*t^6.86 + (g1^2*t^7.14)/g2^6 - t^7.14/(g1^2*g2^2) + (g2^2*t^7.14)/g1^6 + 2*g1^12*g2^4*t^7.43 + 4*g1^8*g2^8*t^7.43 + 2*g1^4*g2^12*t^7.43 + g1^13*g2*t^8. + 3*g1^9*g2^5*t^8. + 3*g1^5*g2^9*t^8. + g1*g2^13*t^8. - t^8.29/g1^8 - t^8.29/g2^8 - t^8.29/(g1^4*g2^4) + 3*g1^10*g2^2*t^8.57 + g1^6*g2^6*t^8.57 + 3*g1^2*g2^10*t^8.57 - t^4.14/(g1^2*g2^2*y) - (2*t^6.43)/(g1^6*g2^6*y) + t^7.57/(g1^8*g2^8*y) + (2*g1^2*g2^2*t^7.86)/y + (2*g1^3*t^8.43)/(g2*y) + (2*g2^3*t^8.43)/(g1*y) - (3*t^8.71)/(g1^10*g2^10*y) - (t^4.14*y)/(g1^2*g2^2) - (2*t^6.43*y)/(g1^6*g2^6) + (t^7.57*y)/(g1^8*g2^8) + 2*g1^2*g2^2*t^7.86*y + (2*g1^3*t^8.43*y)/g2 + (2*g2^3*t^8.43*y)/g1 - (3*t^8.71*y)/(g1^10*g2^10) |
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 |
|---|---|---|---|---|---|---|---|---|
| 94 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_2^2$ | 0.6885 | 0.8369 | 0.8227 | [X:[], M:[0.7483, 0.7483], q:[0.8129, 0.4388], qb:[0.6259, 0.6259], phi:[0.3741]] | 3*t^2.24 + 2*t^3.19 + t^3.76 + 4*t^4.32 + 6*t^4.49 + 3*t^4.88 + 4*t^5.44 - 3*t^6. - t^4.12/y - t^4.12*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 |
|---|---|---|---|---|---|---|---|---|---|
| 44 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | 0.6515 | 0.7734 | 0.8425 | [X:[], M:[], q:[0.8051, 0.4152], qb:[0.6101, 0.6101], phi:[0.3899]] | t^2.34 + 2*t^3.08 + 3*t^3.66 + 4*t^4.25 + t^4.68 + 3*t^4.83 - 3*t^6. - t^4.17/y - t^4.17*y | detail |