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 |
|---|---|---|---|---|---|---|---|---|---|
| 57928 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.3508 | 1.5206 | 0.8883 | [X:[1.4275], M:[0.8623, 0.8551], q:[0.7162, 0.4263], qb:[0.4287, 0.7114], phi:[0.2862]] | [X:[[0, 2]], M:[[0, -10], [0, 4]], q:[[-1, 2], [-1, 10]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{4}q_{2}\tilde{q}_{1}$ | -2 | 2*t^2.57 + t^2.58 + t^2.59 + t^3.42 + t^4.27 + 3*t^4.28 + t^4.29 + 3*t^5.13 + 3*t^5.14 + 3*t^5.15 + t^5.16 + t^5.17 + 2*t^5.57 + t^5.99 - 2*t^6. + 2*t^6.41 + 2*t^6.42 + 2*t^6.43 + 2*t^6.84 + 6*t^6.85 + 3*t^6.86 + 2*t^6.87 + t^6.88 + 5*t^7.7 + 6*t^7.71 + 6*t^7.72 + 3*t^7.73 + 3*t^7.74 + t^7.75 + t^7.76 + 2*t^8.13 - 2*t^8.14 + t^8.54 + 3*t^8.55 + t^8.57 + t^8.58 - 2*t^8.59 + 4*t^8.98 + 6*t^8.99 + t^8.58/y^2 - t^3.86/y - t^4.72/y - (2*t^6.42)/y - t^6.43/y - t^6.45/y - (2*t^7.28)/y - t^7.29/y - t^7.3/y + t^8.13/y + (2*t^8.15)/y + t^8.16/y - t^8.99/y - t^3.86*y - t^4.72*y - 2*t^6.42*y - t^6.43*y - t^6.45*y - 2*t^7.28*y - t^7.29*y - t^7.3*y + t^8.13*y + 2*t^8.15*y + t^8.16*y - t^8.99*y + t^8.58*y^2 | 2*g2^4*t^2.57 + t^2.58/g2^3 + t^2.59/g2^10 + g2^3*t^3.42 + g2^9*t^4.27 + 3*g2^2*t^4.28 + t^4.29/g2^5 + 3*g2^8*t^5.13 + 3*g2*t^5.14 + (3*t^5.15)/g2^6 + t^5.16/g2^13 + t^5.17/g2^20 + (g1^3*t^5.57)/g2^13 + (g2^21*t^5.57)/g1^3 + g2^7*t^5.99 - 2*t^6. + (g1^3*t^6.41)/g2^7 + (g2^27*t^6.41)/g1^3 + (g1^3*t^6.42)/g2^14 + (g2^20*t^6.42)/g1^3 + (g1^3*t^6.43)/g2^21 + (g2^13*t^6.43)/g1^3 + 2*g2^13*t^6.84 + 6*g2^6*t^6.85 + (3*t^6.86)/g2 + (2*t^6.87)/g2^8 + t^6.88/g2^15 + 5*g2^12*t^7.7 + 6*g2^5*t^7.71 + (6*t^7.72)/g2^2 + (3*t^7.73)/g2^9 + (3*t^7.74)/g2^16 + t^7.75/g2^23 + t^7.76/g2^30 + (g1^3*t^8.13)/g2^9 + (g2^25*t^8.13)/g1^3 - (g1^3*t^8.14)/g2^16 - (g2^18*t^8.14)/g1^3 + g2^18*t^8.54 + 3*g2^11*t^8.55 + g2^4*t^8.57 + t^8.58/g2^3 - (2*t^8.59)/g2^10 + (2*g1^3*t^8.98)/g2^3 + (2*g2^31*t^8.98)/g1^3 + (3*g1^3*t^8.99)/g2^10 + (3*g2^24*t^8.99)/g1^3 + t^8.58/(g2^3*y^2) - t^3.86/(g2*y) - t^4.72/(g2^2*y) - (2*g2^3*t^6.42)/y - t^6.43/(g2^4*y) - t^6.45/(g2^11*y) - (2*g2^2*t^7.28)/y - t^7.29/(g2^5*y) - t^7.3/(g2^12*y) + (g2^8*t^8.13)/y + (2*t^8.15)/(g2^6*y) + t^8.16/(g2^13*y) - (g2^7*t^8.99)/y - (t^3.86*y)/g2 - (t^4.72*y)/g2^2 - 2*g2^3*t^6.42*y - (t^6.43*y)/g2^4 - (t^6.45*y)/g2^11 - 2*g2^2*t^7.28*y - (t^7.29*y)/g2^5 - (t^7.3*y)/g2^12 + g2^8*t^8.13*y + (2*t^8.15*y)/g2^6 + (t^8.16*y)/g2^13 - g2^7*t^8.99*y + (t^8.58*y^2)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 61012 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.3417 | 1.5102 | 0.8884 | [X:[1.4343], M:[0.8283, 0.8687], q:[0.6599, 0.3973], qb:[0.4714, 0.7744], phi:[0.2828]] | t^2.48 + t^2.55 + 2*t^2.61 + t^3.45 + t^4.24 + 3*t^4.3 + t^4.36 + t^4.97 + t^5.03 + 3*t^5.09 + 3*t^5.15 + 4*t^5.21 - t^3.85/y - t^4.7/y - t^3.85*y - t^4.7*y | detail | {a: 23377/17424, c: 13157/8712, X1: 142/99, M1: 82/99, M2: 86/99, q1: 196/297, q2: 118/297, qb1: 140/297, qb2: 230/297, phi1: 28/99} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 57278 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.4543 | 1.6397 | 0.8869 | [X:[1.3446], M:[0.9663, 0.9998], q:[0.5085, 0.5081], qb:[0.4917, 0.5255], phi:[0.3277]] | t^2.899 + t^2.949 + 2*t^2.999 + t^3.102 + t^3.982 + t^3.984 + t^4.034 + t^4.084 + t^4.085 + t^4.966 + t^4.967 + t^5.067 + t^5.068 + t^5.51 + t^5.557 + t^5.559 + t^5.611 + t^5.798 + t^5.848 + 2*t^5.898 + 2*t^5.949 + 2*t^5.999 - 4*t^6. - t^3.983/y - t^4.966/y - t^3.983*y - t^4.966*y | detail |