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 |
---|---|---|---|---|---|---|---|---|---|
507 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ | 0.7407 | 0.9101 | 0.8139 | [M:[0.8597, 0.8597, 1.0, 0.7195], q:[0.6403, 0.5], qb:[0.5, 0.6403], phi:[0.4299]] | [M:[[-2], [-2], [0], [-4]], q:[[2], [0]], qb:[[0], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.158 + 3*t^2.579 + t^3. + 2*t^3.421 + 3*t^4.29 + t^4.317 + 4*t^4.71 + 3*t^4.738 + 3*t^5.131 + 7*t^5.158 + t^5.579 - t^6. - 2*t^6.421 + 3*t^6.448 + t^6.475 + 2*t^6.842 + 9*t^6.869 + 3*t^6.896 + 11*t^7.29 + 7*t^7.317 + 8*t^7.71 + 11*t^7.738 - 4*t^8.158 - t^8.552 - 6*t^8.579 + 3*t^8.606 + t^8.634 - t^4.29/y - t^6.448/y - (3*t^6.869)/y + (3*t^7.71)/y + (3*t^7.738)/y + t^8.131/y + (4*t^8.158)/y + (5*t^8.579)/y - t^8.606/y - t^4.29*y - t^6.448*y - 3*t^6.869*y + 3*t^7.71*y + 3*t^7.738*y + t^8.131*y + 4*t^8.158*y + 5*t^8.579*y - t^8.606*y | t^2.158/g1^4 + (3*t^2.579)/g1^2 + t^3. + 2*g1^2*t^3.421 + (3*t^4.29)/g1 + t^4.317/g1^8 + 4*g1*t^4.71 + (3*t^4.738)/g1^6 + 3*g1^3*t^5.131 + (7*t^5.158)/g1^4 + t^5.579/g1^2 - t^6. - 2*g1^2*t^6.421 + (3*t^6.448)/g1^5 + t^6.475/g1^12 + 2*g1^4*t^6.842 + (9*t^6.869)/g1^3 + (3*t^6.896)/g1^10 + (11*t^7.29)/g1 + (7*t^7.317)/g1^8 + 8*g1*t^7.71 + (11*t^7.738)/g1^6 - (4*t^8.158)/g1^4 - g1^5*t^8.552 - (6*t^8.579)/g1^2 + (3*t^8.606)/g1^9 + t^8.634/g1^16 - t^4.29/(g1*y) - t^6.448/(g1^5*y) - (3*t^6.869)/(g1^3*y) + (3*g1*t^7.71)/y + (3*t^7.738)/(g1^6*y) + (g1^3*t^8.131)/y + (4*t^8.158)/(g1^4*y) + (5*t^8.579)/(g1^2*y) - t^8.606/(g1^9*y) - (t^4.29*y)/g1 - (t^6.448*y)/g1^5 - (3*t^6.869*y)/g1^3 + 3*g1*t^7.71*y + (3*t^7.738*y)/g1^6 + g1^3*t^8.131*y + (4*t^8.158*y)/g1^4 + (5*t^8.579*y)/g1^2 - (t^8.606*y)/g1^9 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
326 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.7722 | 0.9495 | 0.8132 | [M:[0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]] | 5*t^2.324 + 2*t^3.676 + 15*t^4.647 + 10*t^4.838 - 6*t^6. - t^4.162/y - t^4.162*y | detail |