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 |
|---|---|---|---|---|---|---|---|---|---|
| 48296 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6532 | 0.8167 | 0.7999 | [X:[1.6152], M:[0.3848, 0.6937, 1.1545, 0.8455, 0.8076, 0.8076], q:[0.8645, 0.7507], qb:[0.4417, 0.4038], phi:[0.3848]] | [X:[[0, 1]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [2, 0], [-2, 1]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.081 + t^2.309 + 2*t^2.423 + t^2.537 + t^3.463 + t^3.691 + 2*t^3.805 + t^4.162 + t^4.39 + 2*t^4.504 + 2*t^4.618 + 2*t^4.732 + 5*t^4.846 + 2*t^4.959 + t^5.073 + t^5.545 + t^5.772 + 2*t^5.886 - t^6. + 2*t^6.114 + 4*t^6.228 + t^6.244 + 2*t^6.342 + t^6.471 + 2*t^6.585 + 2*t^6.699 + 2*t^6.813 + 6*t^6.927 + 2*t^7.041 + 4*t^7.154 + 6*t^7.268 + 2*t^7.382 + 2*t^7.496 + 3*t^7.61 + t^7.626 + t^7.854 + 2*t^7.967 - t^8.081 + 2*t^8.309 + t^8.325 - 4*t^8.423 + t^8.553 + 6*t^8.65 + 2*t^8.666 + 3*t^8.764 + 2*t^8.78 + 2*t^8.878 + 2*t^8.894 - t^4.154/y - t^6.236/y - t^6.463/y - (2*t^6.577)/y + t^7.39/y + (2*t^7.504)/y + t^7.618/y + (4*t^7.732)/y + (3*t^7.846)/y + (2*t^7.959)/y + t^8.073/y - t^8.317/y - (2*t^8.658)/y + t^8.772/y + (2*t^8.886)/y - t^4.154*y - t^6.236*y - t^6.463*y - 2*t^6.577*y + t^7.39*y + 2*t^7.504*y + t^7.618*y + 4*t^7.732*y + 3*t^7.846*y + 2*t^7.959*y + t^8.073*y - t^8.317*y - 2*t^8.658*y + t^8.772*y + 2*t^8.886*y | t^2.081/g2^7 + t^2.309/g2^2 + g1^2*t^2.423 + (g2*t^2.423)/g1^2 + g2^3*t^2.537 + t^3.463/g2^3 + g2^2*t^3.691 + g1^2*g2^4*t^3.805 + (g2^5*t^3.805)/g1^2 + t^4.162/g2^14 + t^4.39/g2^9 + (g1^2*t^4.504)/g2^7 + t^4.504/(g1^2*g2^6) + (2*t^4.618)/g2^4 + (g1^2*t^4.732)/g2^2 + t^4.732/(g1^2*g2) + g1^4*t^4.846 + 3*g2*t^4.846 + (g2^2*t^4.846)/g1^4 + g1^2*g2^3*t^4.959 + (g2^4*t^4.959)/g1^2 + g2^6*t^5.073 + t^5.545/g2^10 + t^5.772/g2^5 + (g1^2*t^5.886)/g2^3 + t^5.886/(g1^2*g2^2) - t^6. + g1^2*g2^2*t^6.114 + (g2^3*t^6.114)/g1^2 + g1^4*g2^4*t^6.228 + 2*g2^5*t^6.228 + (g2^6*t^6.228)/g1^4 + t^6.244/g2^21 + g1^2*g2^7*t^6.342 + (g2^8*t^6.342)/g1^2 + t^6.471/g2^16 + (g1^2*t^6.585)/g2^14 + t^6.585/(g1^2*g2^13) + (2*t^6.699)/g2^11 + (g1^2*t^6.813)/g2^9 + t^6.813/(g1^2*g2^8) + (g1^4*t^6.927)/g2^7 + (4*t^6.927)/g2^6 + t^6.927/(g1^4*g2^5) + (g1^2*t^7.041)/g2^4 + t^7.041/(g1^2*g2^3) + t^7.154/g1^4 + (g1^4*t^7.154)/g2^2 + (2*t^7.154)/g2 + g1^6*t^7.268 + 2*g1^2*g2*t^7.268 + (2*g2^2*t^7.268)/g1^2 + (g2^3*t^7.268)/g1^6 + g1^4*g2^3*t^7.382 + (g2^5*t^7.382)/g1^4 + g1^2*g2^6*t^7.496 + (g2^7*t^7.496)/g1^2 + g1^4*g2^8*t^7.61 + g2^9*t^7.61 + (g2^10*t^7.61)/g1^4 + t^7.626/g2^17 + t^7.854/g2^12 + (g1^2*t^7.967)/g2^10 + t^7.967/(g1^2*g2^9) - t^8.081/g2^7 + (g1^4*t^8.309)/g2^3 + t^8.309/(g1^4*g2) + t^8.325/g2^28 - 2*g1^2*t^8.423 - (2*g2*t^8.423)/g1^2 + g1^4*g2^2*t^8.537 - 2*g2^3*t^8.537 + (g2^4*t^8.537)/g1^4 + t^8.553/g2^23 + g1^6*g2^4*t^8.65 + 2*g1^2*g2^5*t^8.65 + (2*g2^6*t^8.65)/g1^2 + (g2^7*t^8.65)/g1^6 + (g1^2*t^8.666)/g2^21 + t^8.666/(g1^2*g2^20) + g1^4*g2^7*t^8.764 + g2^8*t^8.764 + (g2^9*t^8.764)/g1^4 + (2*t^8.78)/g2^18 + g1^2*g2^10*t^8.878 + (g2^11*t^8.878)/g1^2 + (g1^2*t^8.894)/g2^16 + t^8.894/(g1^2*g2^15) - t^4.154/(g2*y) - t^6.236/(g2^8*y) - t^6.463/(g2^3*y) - t^6.577/(g1^2*y) - (g1^2*t^6.577)/(g2*y) + t^7.39/(g2^9*y) + (g1^2*t^7.504)/(g2^7*y) + t^7.504/(g1^2*g2^6*y) + t^7.618/(g2^4*y) + (2*g1^2*t^7.732)/(g2^2*y) + (2*t^7.732)/(g1^2*g2*y) + (3*g2*t^7.846)/y + (g1^2*g2^3*t^7.959)/y + (g2^4*t^7.959)/(g1^2*y) + (g2^6*t^8.073)/y - t^8.317/(g2^15*y) - (g1^2*t^8.658)/(g2^8*y) - t^8.658/(g1^2*g2^7*y) + t^8.772/(g2^5*y) + (g1^2*t^8.886)/(g2^3*y) + t^8.886/(g1^2*g2^2*y) - (t^4.154*y)/g2 - (t^6.236*y)/g2^8 - (t^6.463*y)/g2^3 - (t^6.577*y)/g1^2 - (g1^2*t^6.577*y)/g2 + (t^7.39*y)/g2^9 + (g1^2*t^7.504*y)/g2^7 + (t^7.504*y)/(g1^2*g2^6) + (t^7.618*y)/g2^4 + (2*g1^2*t^7.732*y)/g2^2 + (2*t^7.732*y)/(g1^2*g2) + 3*g2*t^7.846*y + g1^2*g2^3*t^7.959*y + (g2^4*t^7.959*y)/g1^2 + g2^6*t^8.073*y - (t^8.317*y)/g2^15 - (g1^2*t^8.658*y)/g2^8 - (t^8.658*y)/(g1^2*g2^7) + (t^8.772*y)/g2^5 + (g1^2*t^8.886*y)/g2^3 + (t^8.886*y)/(g1^2*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 54972 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.667 | 0.8406 | 0.7935 | [X:[1.6116], M:[0.3884, 0.7187, 1.1652, 0.8348, 0.8058, 0.8058, 0.8348], q:[0.8493, 0.7623], qb:[0.4319, 0.4029], phi:[0.3884]] | t^2.156 + t^2.33 + 2*t^2.417 + 2*t^2.504 + t^3.67 + 2*t^3.757 + t^4.312 + t^4.487 + 2*t^4.574 + 3*t^4.661 + 2*t^4.748 + 6*t^4.835 + 4*t^4.922 + 3*t^5.009 - 2*t^6. - t^4.165/y - t^4.165*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46569 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6384 | 0.7922 | 0.8058 | [X:[1.6159], M:[0.3841, 0.689, 1.1524, 0.8476, 0.77], q:[0.8484, 0.7674], qb:[0.4625, 0.385], phi:[0.3841]] | t^2.067 + t^2.305 + t^2.31 + t^2.543 + t^3.457 + t^3.463 + t^3.695 + t^3.7 + t^3.928 + t^4.134 + t^4.372 + t^4.377 + 2*t^4.61 + t^4.615 + t^4.62 + 2*t^4.848 + t^4.853 + t^5.085 + t^5.524 + t^5.53 + t^5.762 + 2*t^5.767 + t^5.773 - t^6. - t^4.152/y - t^4.152*y | detail |