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 |
|---|---|---|---|---|---|---|---|---|---|
| 4079 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{8}$ | 0.6585 | 0.7996 | 0.8235 | [X:[1.3308], M:[1.0326, 1.1128, 0.9599, 0.6692, 0.7419, 0.8145, 1.0401, 1.2581], q:[0.7782, 0.4073], qb:[0.5602, 0.4799], phi:[0.4436]] | [X:[[18]], M:[[32], [-12], [22], [-18], [-8], [2], [-22], [8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{7}\phi_{1}^{2}$ | ${}$ | -2 | t^2.444 + t^2.662 + t^3.098 + t^3.12 + t^3.338 + 2*t^3.774 + t^3.992 + t^4.015 + t^4.211 + t^4.233 + t^4.451 + t^4.692 + t^4.887 + t^5.105 + t^5.323 + t^5.564 + t^5.782 - 2*t^6. + t^6.195 + t^6.218 + 3*t^6.436 + t^6.459 + t^6.654 + t^6.677 + 2*t^6.872 + 2*t^6.895 + t^7.113 + 2*t^7.135 + t^7.308 + t^7.331 + 2*t^7.353 + 3*t^7.549 + 2*t^7.767 + t^7.789 + t^7.812 + 3*t^7.985 + 2*t^8.008 + t^8.03 + 2*t^8.226 + t^8.421 - 2*t^8.444 + 2*t^8.466 + t^8.639 - t^8.662 + t^8.707 + t^8.902 + t^8.925 - t^4.331/y - t^6.774/y + t^7.233/y - t^7.429/y + t^7.887/y + t^8.105/y + t^8.541/y + t^8.564/y + t^8.759/y + (2*t^8.782)/y - t^4.331*y - t^6.774*y + t^7.233*y - t^7.429*y + t^7.887*y + t^8.105*y + t^8.541*y + t^8.564*y + t^8.759*y + 2*t^8.782*y | g1^2*t^2.444 + g1^12*t^2.662 + g1^32*t^3.098 + t^3.12/g1^22 + t^3.338/g1^12 + 2*g1^8*t^3.774 + g1^18*t^3.992 + t^4.015/g1^36 + g1^28*t^4.211 + t^4.233/g1^26 + t^4.451/g1^16 + t^4.692/g1^60 + g1^4*t^4.887 + g1^14*t^5.105 + g1^24*t^5.323 + t^5.564/g1^20 + t^5.782/g1^10 - 2*t^6. + g1^64*t^6.195 + g1^10*t^6.218 + 3*g1^20*t^6.436 + t^6.459/g1^34 + g1^30*t^6.654 + t^6.677/g1^24 + 2*g1^40*t^6.872 + (2*t^6.895)/g1^14 + t^7.113/g1^4 + (2*t^7.135)/g1^58 + g1^60*t^7.308 + g1^6*t^7.331 + (2*t^7.353)/g1^48 + 3*g1^16*t^7.549 + 2*g1^26*t^7.767 + t^7.789/g1^28 + t^7.812/g1^82 + 3*g1^36*t^7.985 + (2*t^8.008)/g1^18 + t^8.03/g1^72 + (2*t^8.226)/g1^8 + g1^56*t^8.421 - 2*g1^2*t^8.444 + (2*t^8.466)/g1^52 + g1^66*t^8.639 - g1^12*t^8.662 + t^8.707/g1^96 + t^8.902/g1^32 + t^8.925/g1^86 - (g1^6*t^4.331)/y - (g1^8*t^6.774)/y + t^7.233/(g1^26*y) - (g1^38*t^7.429)/y + (g1^4*t^7.887)/y + (g1^14*t^8.105)/y + (g1^34*t^8.541)/y + t^8.564/(g1^20*y) + (g1^44*t^8.759)/y + (2*t^8.782)/(g1^10*y) - g1^6*t^4.331*y - g1^8*t^6.774*y + (t^7.233*y)/g1^26 - g1^38*t^7.429*y + g1^4*t^7.887*y + g1^14*t^8.105*y + g1^34*t^8.541*y + (t^8.564*y)/g1^20 + g1^44*t^8.759*y + (2*t^8.782*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5618 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{8}$ + ${ }M_{2}M_{9}$ | 0.6689 | 0.8172 | 0.8185 | [X:[1.3212], M:[1.0155, 1.1192, 0.9482, 0.6788, 0.7461, 0.8135, 1.0518, 1.2539, 0.8808], q:[0.7798, 0.4067], qb:[0.5778, 0.4741], phi:[0.4404]] | t^2.44 + 2*t^2.642 + t^3.047 + t^3.156 + 2*t^3.762 + t^3.964 + t^4.073 + t^4.166 + t^4.275 + t^4.477 + t^4.788 + t^4.881 + 2*t^5.083 + 3*t^5.285 + t^5.596 + t^5.689 + t^5.798 - 3*t^6. - t^4.321/y - t^4.321*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1691 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}X_{1}$ | 0.6779 | 0.8353 | 0.8115 | [X:[1.3337], M:[1.0377, 1.1109, 0.9634, 0.6663, 0.7406, 0.8149, 1.0366], q:[0.7777, 0.4074], qb:[0.5549, 0.4817], phi:[0.4446]] | t^2.222 + t^2.445 + t^2.667 + t^3.11 + t^3.113 + t^3.333 + t^3.778 + t^3.998 + t^4.001 + t^4.221 + t^4.224 + 2*t^4.444 + t^4.663 + t^4.666 + 2*t^4.889 + t^5.112 + t^5.332 + 2*t^5.335 + 2*t^5.554 + t^5.777 - t^6. - t^4.334/y - t^4.334*y | detail |