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 |
---|---|---|---|---|---|---|---|---|---|
254 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6776 | 0.8842 | 0.7663 | [M:[1.153, 0.694, 0.6735, 0.6735], q:[0.75, 0.4235], qb:[0.4235, 0.403], phi:[0.5]] | [M:[[0, 1], [0, -2], [1, 0], [-1, -1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | -1 | 2*t^2.021 + t^2.082 + 2*t^2.479 + t^3. + 2*t^3.459 + 2*t^3.521 + 6*t^4.041 + 2*t^4.103 + t^4.164 + 4*t^4.5 + 2*t^4.562 + 3*t^4.959 + 2*t^5.021 + t^5.082 + 6*t^5.479 + 6*t^5.541 + 2*t^5.603 + 2*t^5.938 - t^6. + 8*t^6.062 + 6*t^6.123 + 2*t^6.185 + t^6.246 + 10*t^6.521 + 4*t^6.582 + 2*t^6.644 + 2*t^6.918 + 6*t^6.979 + 8*t^7.041 + 2*t^7.103 + t^7.164 + 8*t^7.5 + 14*t^7.562 + 6*t^7.623 + 2*t^7.685 + 3*t^7.959 - 4*t^8.021 + 14*t^8.082 + 8*t^8.144 + 6*t^8.205 + 2*t^8.267 + t^8.329 + 2*t^8.418 - 4*t^8.479 + 12*t^8.541 + 10*t^8.603 + 4*t^8.664 + 2*t^8.726 + 2*t^8.938 - t^4.5/y - (2*t^6.521)/y - t^6.582/y + (2*t^7.041)/y + (2*t^7.103)/y + (4*t^7.5)/y + (2*t^7.562)/y + (2*t^8.021)/y + t^8.082/y + t^8.418/y + (8*t^8.479)/y + (3*t^8.541)/y - t^8.664/y + (4*t^8.938)/y - t^4.5*y - 2*t^6.521*y - t^6.582*y + 2*t^7.041*y + 2*t^7.103*y + 4*t^7.5*y + 2*t^7.562*y + 2*t^8.021*y + t^8.082*y + t^8.418*y + 8*t^8.479*y + 3*t^8.541*y - t^8.664*y + 4*t^8.938*y | g1*t^2.021 + t^2.021/(g1*g2) + t^2.082/g2^2 + t^2.479/g1 + g1*g2*t^2.479 + t^3. + 2*g2*t^3.459 + g1*t^3.521 + t^3.521/(g1*g2) + 2*g1^2*t^4.041 + (2*t^4.041)/(g1^2*g2^2) + (2*t^4.041)/g2 + t^4.103/(g1*g2^3) + (g1*t^4.103)/g2^2 + t^4.164/g2^4 + 2*t^4.5 + t^4.5/(g1^2*g2) + g1^2*g2*t^4.5 + t^4.562/(g1*g2^2) + (g1*t^4.562)/g2 + t^4.959/g1^2 + g2*t^4.959 + g1^2*g2^2*t^4.959 + g1*t^5.021 + t^5.021/(g1*g2) + t^5.082/g2^2 + (3*t^5.479)/g1 + 3*g1*g2*t^5.479 + g1^2*t^5.541 + t^5.541/(g1^2*g2^2) + (4*t^5.541)/g2 + t^5.603/(g1*g2^3) + (g1*t^5.603)/g2^2 + (g2*t^5.938)/g1 + g1*g2^2*t^5.938 - t^6. + 2*g1^3*t^6.062 + (2*t^6.062)/(g1^3*g2^3) + (2*t^6.062)/(g1*g2^2) + (2*g1*t^6.062)/g2 + (2*t^6.123)/(g1^2*g2^4) + (2*t^6.123)/g2^3 + (2*g1^2*t^6.123)/g2^2 + t^6.185/(g1*g2^5) + (g1*t^6.185)/g2^4 + t^6.246/g2^6 + 3*g1*t^6.521 + (2*t^6.521)/(g1^3*g2^2) + (3*t^6.521)/(g1*g2) + 2*g1^3*g2*t^6.521 + t^6.582/(g1^2*g2^3) + (2*t^6.582)/g2^2 + (g1^2*t^6.582)/g2 + t^6.644/(g1*g2^4) + (g1*t^6.644)/g2^3 + 2*g2^2*t^6.918 + (2*t^6.979)/g1 + t^6.979/(g1^3*g2) + 2*g1*g2*t^6.979 + g1^3*g2^2*t^6.979 + 3*g1^2*t^7.041 + (3*t^7.041)/(g1^2*g2^2) + (2*t^7.041)/g2 + t^7.103/(g1*g2^3) + (g1*t^7.103)/g2^2 + t^7.164/g2^4 + t^7.438/g1^3 - (g2*t^7.438)/g1 - g1*g2^2*t^7.438 + g1^3*g2^3*t^7.438 + 2*t^7.5 + (3*t^7.5)/(g1^2*g2) + 3*g1^2*g2*t^7.5 + 2*g1^3*t^7.562 + (2*t^7.562)/(g1^3*g2^3) + (5*t^7.562)/(g1*g2^2) + (5*g1*t^7.562)/g2 + t^7.623/(g1^2*g2^4) + (4*t^7.623)/g2^3 + (g1^2*t^7.623)/g2^2 + t^7.685/(g1*g2^5) + (g1*t^7.685)/g2^4 + t^7.959/g1^2 + g2*t^7.959 + g1^2*g2^2*t^7.959 - 2*g1*t^8.021 - (2*t^8.021)/(g1*g2) + 3*g1^4*t^8.082 + (3*t^8.082)/(g1^4*g2^4) + (3*t^8.082)/(g1^2*g2^3) + (2*t^8.082)/g2^2 + (3*g1^2*t^8.082)/g2 + (2*t^8.144)/(g1^3*g2^5) + (2*t^8.144)/(g1*g2^4) + (2*g1*t^8.144)/g2^3 + (2*g1^3*t^8.144)/g2^2 + (2*t^8.205)/(g1^2*g2^6) + (2*t^8.205)/g2^5 + (2*g1^2*t^8.205)/g2^4 + t^8.267/(g1*g2^7) + (g1*t^8.267)/g2^6 + t^8.329/g2^8 + (g2*t^8.418)/g1^2 + g1^2*g2^3*t^8.418 - (2*t^8.479)/g1 - 2*g1*g2*t^8.479 + 3*g1^2*t^8.541 + (2*t^8.541)/(g1^4*g2^3) + (3*t^8.541)/(g1^2*g2^2) + (2*t^8.541)/g2 + 2*g1^4*g2*t^8.541 + (2*t^8.603)/(g1^3*g2^4) + (3*t^8.603)/(g1*g2^3) + (3*g1*t^8.603)/g2^2 + (2*g1^3*t^8.603)/g2 + t^8.664/(g1^2*g2^5) + (2*t^8.664)/g2^4 + (g1^2*t^8.664)/g2^3 + t^8.726/(g1*g2^6) + (g1*t^8.726)/g2^5 + (g2*t^8.938)/g1 + g1*g2^2*t^8.938 - t^4.5/y - (g1*t^6.521)/y - t^6.521/(g1*g2*y) - t^6.582/(g2^2*y) + (2*t^7.041)/(g2*y) + t^7.103/(g1*g2^3*y) + (g1*t^7.103)/(g2^2*y) + (2*t^7.5)/y + t^7.5/(g1^2*g2*y) + (g1^2*g2*t^7.5)/y + t^7.562/(g1*g2^2*y) + (g1*t^7.562)/(g2*y) + (g1*t^8.021)/y + t^8.021/(g1*g2*y) + t^8.082/(g2^2*y) + (g2^2*t^8.418)/y + (4*t^8.479)/(g1*y) + (4*g1*g2*t^8.479)/y + (3*t^8.541)/(g2*y) - t^8.664/(g2^4*y) + (2*g2*t^8.938)/(g1*y) + (2*g1*g2^2*t^8.938)/y - t^4.5*y - g1*t^6.521*y - (t^6.521*y)/(g1*g2) - (t^6.582*y)/g2^2 + (2*t^7.041*y)/g2 + (t^7.103*y)/(g1*g2^3) + (g1*t^7.103*y)/g2^2 + 2*t^7.5*y + (t^7.5*y)/(g1^2*g2) + g1^2*g2*t^7.5*y + (t^7.562*y)/(g1*g2^2) + (g1*t^7.562*y)/g2 + g1*t^8.021*y + (t^8.021*y)/(g1*g2) + (t^8.082*y)/g2^2 + g2^2*t^8.418*y + (4*t^8.479*y)/g1 + 4*g1*g2*t^8.479*y + (3*t^8.541*y)/g2 - (t^8.664*y)/g2^4 + (2*g2*t^8.938*y)/g1 + 2*g1*g2^2*t^8.938*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
160 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6567 | 0.843 | 0.7791 | [M:[1.1525, 0.6949, 0.6728], q:[0.75, 0.4246], qb:[0.4228, 0.4025], phi:[0.5]] | t^2.019 + t^2.085 + t^2.476 + t^2.481 + t^3. + 2*t^3.458 + t^3.519 + t^3.524 + t^3.976 + 2*t^4.037 + t^4.042 + t^4.048 + t^4.103 + t^4.169 + t^4.495 + t^4.5 + t^4.561 + t^4.566 + t^4.952 + t^4.958 + t^4.963 + t^5.019 + t^5.085 + 3*t^5.476 + t^5.481 + t^5.537 + 3*t^5.542 + t^5.603 + t^5.609 + t^5.934 + t^5.939 + t^5.995 - t^6. - t^4.5/y - t^4.5*y | detail |