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 |
---|---|---|---|---|---|---|---|---|---|
454 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}X_{1}$ | 0.5686 | 0.6775 | 0.8392 | [X:[1.3715], M:[1.0, 1.2569, 0.6285, 0.8576], q:[0.6146, 1.0139], qb:[0.3854, 0.5], phi:[0.3715]] | [X:[[1]], M:[[0], [-2], [-1], [5]], q:[[3], [-4]], qb:[[-3], [0]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.573 + t^2.656 + t^3. + t^3.344 + 2*t^3.771 + t^4.115 + t^4.198 + t^4.542 + t^4.885 + t^5.146 + t^5.313 + t^5.917 - t^6. + t^6.344 + t^6.427 + t^6.687 + t^6.771 + t^6.854 + t^7.115 + t^7.198 + t^7.458 + 2*t^7.542 + t^7.719 + t^7.885 + 2*t^7.969 + t^8.313 + t^8.396 + t^8.489 - 2*t^8.573 - t^8.656 + t^8.74 + t^8.917 - t^4.115/y - t^6.687/y + t^7.542/y + t^8.229/y + t^8.573/y + t^8.656/y + t^8.917/y - t^4.115*y - t^6.687*y + t^7.542*y + t^8.229*y + t^8.573*y + t^8.656*y + t^8.917*y | g1^5*t^2.573 + t^2.656/g1^3 + t^3. + g1^3*t^3.344 + (2*t^3.771)/g1^2 + g1*t^4.115 + t^4.198/g1^7 + t^4.542/g1^4 + t^4.885/g1 + g1^10*t^5.146 + t^5.313/g1^6 + g1^8*t^5.917 - t^6. + g1^3*t^6.344 + t^6.427/g1^5 + g1^6*t^6.687 + t^6.771/g1^2 + t^6.854/g1^10 + g1*t^7.115 + t^7.198/g1^7 + g1^4*t^7.458 + (2*t^7.542)/g1^4 + g1^15*t^7.719 + t^7.885/g1 + (2*t^7.969)/g1^9 + t^8.313/g1^6 + t^8.396/g1^14 + g1^13*t^8.489 - 2*g1^5*t^8.573 - t^8.656/g1^3 + t^8.74/g1^11 + g1^8*t^8.917 - (g1*t^4.115)/y - (g1^6*t^6.687)/y + t^7.542/(g1^4*y) + (g1^2*t^8.229)/y + (g1^5*t^8.573)/y + t^8.656/(g1^3*y) + (g1^8*t^8.917)/y - g1*t^4.115*y - g1^6*t^6.687*y + (t^7.542*y)/g1^4 + g1^2*t^8.229*y + g1^5*t^8.573*y + (t^8.656*y)/g1^3 + g1^8*t^8.917*y |
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 |
---|---|---|---|---|---|---|---|---|
1862 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.5797 | 0.6978 | 0.8308 | [X:[1.3779], M:[1.0, 1.2442, 0.6221, 0.8894, 0.8663], q:[0.6337, 0.9885], qb:[0.3663, 0.5], phi:[0.3779]] | 2*t^2.599 + t^2.668 + t^3. + 2*t^3.733 + t^4.064 + t^4.134 + t^4.465 + t^4.866 + 3*t^5.198 + t^5.267 + t^5.337 + t^5.599 - 2*t^6. - t^4.134/y - t^4.134*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
282 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.5924 | 0.7275 | 0.8144 | [M:[1.0, 1.2265, 0.7021, 0.845], q:[0.6159, 0.9974], qb:[0.3841, 0.4556], phi:[0.3868]] | t^2.106 + t^2.519 + t^2.535 + t^3. + t^3.214 + 2*t^3.679 + t^4.145 + t^4.213 + t^4.359 + t^4.625 + t^4.641 + t^4.84 + t^5.038 + t^5.054 + t^5.07 + t^5.106 + t^5.519 + t^5.733 + t^5.749 + t^5.786 - 2*t^6. - t^4.16/y - t^4.16*y | detail |