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 |
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3023 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6839 | 0.8913 | 0.7673 | [M:[1.2126, 1.1063, 0.6812, 0.7874, 0.7874, 0.8188, 0.7874], q:[0.75, 0.4312], qb:[0.3563, 0.4626], phi:[0.5]] | [M:[[2], [1], [-3], [-2], [-2], [3], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.043 + 3*t^2.362 + 2*t^2.457 + t^3. + 2*t^3.319 + t^3.862 + 2*t^4.087 + t^4.181 + t^4.275 + 3*t^4.406 + 2*t^4.5 + 6*t^4.725 + 6*t^4.819 + 3*t^4.913 + t^5.043 + 5*t^5.362 + 2*t^5.457 + 5*t^5.681 + 3*t^5.775 - 3*t^6. - t^6.094 + 2*t^6.13 + 3*t^6.225 + 2*t^6.319 + 6*t^6.449 + 5*t^6.543 + 5*t^6.638 + 2*t^6.732 + 6*t^6.768 + 5*t^6.862 + t^6.957 + 11*t^7.087 + 11*t^7.181 + 7*t^7.275 + 4*t^7.37 + 5*t^7.406 + 9*t^7.725 + 5*t^7.819 + 2*t^7.913 + t^7.949 + 5*t^8.043 + 5*t^8.138 + 3*t^8.174 + 4*t^8.232 + t^8.268 - 8*t^8.362 - 8*t^8.457 + 6*t^8.493 - t^8.551 + 8*t^8.587 + 5*t^8.681 + 2*t^8.775 + 12*t^8.812 + 10*t^8.906 - t^4.5/y - t^6.543/y - (2*t^6.862)/y - t^6.957/y + t^7.181/y + (3*t^7.406)/y + (2*t^7.5)/y + (3*t^7.725)/y + (5*t^7.819)/y + t^7.913/y + (2*t^8.043)/y + (2*t^8.138)/y + (5*t^8.362)/y + (3*t^8.457)/y - t^8.587/y + (6*t^8.681)/y + (4*t^8.775)/y - t^8.906/y - t^4.5*y - t^6.543*y - 2*t^6.862*y - t^6.957*y + t^7.181*y + 3*t^7.406*y + 2*t^7.5*y + 3*t^7.725*y + 5*t^7.819*y + t^7.913*y + 2*t^8.043*y + 2*t^8.138*y + 5*t^8.362*y + 3*t^8.457*y - t^8.587*y + 6*t^8.681*y + 4*t^8.775*y - t^8.906*y | t^2.043/g1^3 + (3*t^2.362)/g1^2 + 2*g1^3*t^2.457 + t^3. + 2*g1*t^3.319 + t^3.862/g1^2 + (2*t^4.087)/g1^6 + t^4.181/g1 + g1^4*t^4.275 + (3*t^4.406)/g1^5 + 2*t^4.5 + (6*t^4.725)/g1^4 + 6*g1*t^4.819 + 3*g1^6*t^4.913 + t^5.043/g1^3 + (5*t^5.362)/g1^2 + 2*g1^3*t^5.457 + (5*t^5.681)/g1 + 3*g1^4*t^5.775 - 3*t^6. - g1^5*t^6.094 + (2*t^6.13)/g1^9 + (3*t^6.225)/g1^4 + 2*g1*t^6.319 + (6*t^6.449)/g1^8 + (5*t^6.543)/g1^3 + 5*g1^2*t^6.638 + 2*g1^7*t^6.732 + (6*t^6.768)/g1^7 + (5*t^6.862)/g1^2 + g1^3*t^6.957 + (11*t^7.087)/g1^6 + (11*t^7.181)/g1 + 7*g1^4*t^7.275 + 4*g1^9*t^7.37 + (5*t^7.406)/g1^5 + (9*t^7.725)/g1^4 + 5*g1*t^7.819 + 2*g1^6*t^7.913 + t^7.949/g1^8 + (5*t^8.043)/g1^3 + 5*g1^2*t^8.138 + (3*t^8.174)/g1^12 + 4*g1^7*t^8.232 + t^8.268/g1^7 - (8*t^8.362)/g1^2 - 8*g1^3*t^8.457 + (6*t^8.493)/g1^11 - g1^8*t^8.551 + (8*t^8.587)/g1^6 + (5*t^8.681)/g1 + 2*g1^4*t^8.775 + (12*t^8.812)/g1^10 + (10*t^8.906)/g1^5 - t^4.5/y - t^6.543/(g1^3*y) - (2*t^6.862)/(g1^2*y) - (g1^3*t^6.957)/y + t^7.181/(g1*y) + (3*t^7.406)/(g1^5*y) + (2*t^7.5)/y + (3*t^7.725)/(g1^4*y) + (5*g1*t^7.819)/y + (g1^6*t^7.913)/y + (2*t^8.043)/(g1^3*y) + (2*g1^2*t^8.138)/y + (5*t^8.362)/(g1^2*y) + (3*g1^3*t^8.457)/y - t^8.587/(g1^6*y) + (6*t^8.681)/(g1*y) + (4*g1^4*t^8.775)/y - t^8.906/(g1^5*y) - t^4.5*y - (t^6.543*y)/g1^3 - (2*t^6.862*y)/g1^2 - g1^3*t^6.957*y + (t^7.181*y)/g1 + (3*t^7.406*y)/g1^5 + 2*t^7.5*y + (3*t^7.725*y)/g1^4 + 5*g1*t^7.819*y + g1^6*t^7.913*y + (2*t^8.043*y)/g1^3 + 2*g1^2*t^8.138*y + (5*t^8.362*y)/g1^2 + 3*g1^3*t^8.457*y - (t^8.587*y)/g1^6 + (6*t^8.681*y)/g1 + 4*g1^4*t^8.775*y - (t^8.906*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|---|
1969 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6668 | 0.8608 | 0.7747 | [M:[1.2063, 1.1031, 0.6906, 0.7937, 0.7937, 0.8094], q:[0.75, 0.4406], qb:[0.3531, 0.4563], phi:[0.5]] | t^2.072 + 2*t^2.381 + 2*t^2.428 + t^3. + 2*t^3.309 + t^3.619 + t^3.881 + 2*t^4.143 + t^4.191 + t^4.238 + 2*t^4.453 + 2*t^4.5 + 3*t^4.762 + 4*t^4.809 + 3*t^4.857 + t^5.072 + 4*t^5.381 + 2*t^5.428 + 4*t^5.691 + 3*t^5.738 - t^6. - t^4.5/y - t^4.5*y | detail |