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 |
---|---|---|---|---|---|---|---|---|---|
1234 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.6635 | 0.8206 | 0.8086 | [M:[1.0, 1.1712, 0.9612, 0.8288, 0.7237, 1.0388], q:[0.7763, 0.395], qb:[0.605, 0.4338], phi:[0.4475]] | [M:[[0], [-3], [-11], [3], [-1], [11]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.171 + t^2.486 + t^2.685 + t^3. + t^3.116 + t^3.514 + t^3.63 + t^3.712 + t^3.945 + t^4.144 + 2*t^4.342 + t^4.459 + t^4.658 + t^4.856 + 2*t^4.973 + 2*t^5.171 + t^5.288 + t^5.603 + 2*t^5.685 + 2*t^5.801 - t^6. + 2*t^6.116 + t^6.199 + t^6.233 + t^6.315 + t^6.397 + t^6.432 + t^6.514 + 3*t^6.63 + t^6.747 + t^6.829 + t^6.945 + t^7.027 + t^7.062 + 3*t^7.144 + t^7.26 + t^7.342 + t^7.425 + 3*t^7.459 + 2*t^7.575 + 2*t^7.658 + t^7.774 + 2*t^7.856 + t^7.89 + 2*t^7.973 + t^8.055 + 3*t^8.089 - 2*t^8.171 + 2*t^8.288 + t^8.37 + 2*t^8.404 + 2*t^8.603 + t^8.685 + t^8.719 + 2*t^8.801 + 4*t^8.918 - t^4.342/y - t^6.514/y - t^7.027/y + (2*t^7.658)/y + t^7.856/y + (3*t^8.171)/y + t^8.288/y + t^8.486/y + t^8.603/y + t^8.685/y + (2*t^8.801)/y + t^8.884/y - t^4.342*y - t^6.514*y - t^7.027*y + 2*t^7.658*y + t^7.856*y + 3*t^8.171*y + t^8.288*y + t^8.486*y + t^8.603*y + t^8.685*y + 2*t^8.801*y + t^8.884*y | t^2.171/g1 + g1^3*t^2.486 + t^2.685/g1^4 + t^3. + g1^11*t^3.116 + t^3.514/g1^3 + g1^8*t^3.63 + t^3.712/g1^10 + g1^12*t^3.945 + g1^5*t^4.144 + (2*t^4.342)/g1^2 + g1^9*t^4.459 + g1^2*t^4.658 + t^4.856/g1^5 + 2*g1^6*t^4.973 + (2*t^5.171)/g1 + g1^10*t^5.288 + g1^14*t^5.603 + (2*t^5.685)/g1^4 + 2*g1^7*t^5.801 - t^6. + 2*g1^11*t^6.116 + t^6.199/g1^7 + g1^22*t^6.233 + g1^4*t^6.315 + t^6.397/g1^14 + g1^15*t^6.432 + t^6.514/g1^3 + 3*g1^8*t^6.63 + g1^19*t^6.747 + g1*t^6.829 + g1^12*t^6.945 + t^7.027/g1^6 + g1^23*t^7.062 + 3*g1^5*t^7.144 + g1^16*t^7.26 + t^7.342/g1^2 + t^7.425/g1^20 + 3*g1^9*t^7.459 + 2*g1^20*t^7.575 + 2*g1^2*t^7.658 + g1^13*t^7.774 + (2*t^7.856)/g1^5 + g1^24*t^7.89 + 2*g1^6*t^7.973 + t^8.055/g1^12 + 3*g1^17*t^8.089 - (2*t^8.171)/g1 + 2*g1^10*t^8.288 + t^8.37/g1^8 + 2*g1^21*t^8.404 + 2*g1^14*t^8.603 + t^8.685/g1^4 + g1^25*t^8.719 + 2*g1^7*t^8.801 + 4*g1^18*t^8.918 - t^4.342/(g1^2*y) - t^6.514/(g1^3*y) - t^7.027/(g1^6*y) + (2*g1^2*t^7.658)/y + t^7.856/(g1^5*y) + (3*t^8.171)/(g1*y) + (g1^10*t^8.288)/y + (g1^3*t^8.486)/y + (g1^14*t^8.603)/y + t^8.685/(g1^4*y) + (2*g1^7*t^8.801)/y + t^8.884/(g1^11*y) - (t^4.342*y)/g1^2 - (t^6.514*y)/g1^3 - (t^7.027*y)/g1^6 + 2*g1^2*t^7.658*y + (t^7.856*y)/g1^5 + (3*t^8.171*y)/g1 + g1^10*t^8.288*y + g1^3*t^8.486*y + g1^14*t^8.603*y + (t^8.685*y)/g1^4 + 2*g1^7*t^8.801*y + (t^8.884*y)/g1^11 |
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 |
---|---|---|---|---|---|---|---|---|
2281 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6843 | 0.8612 | 0.7946 | [M:[1.0, 1.1697, 0.9556, 0.8303, 0.7232, 1.0444, 0.6789], q:[0.7768, 0.393], qb:[0.607, 0.4373], phi:[0.4465]] | t^2.037 + t^2.17 + t^2.491 + t^2.679 + t^3. + t^3.133 + t^3.509 + t^3.642 + t^3.697 + t^4.073 + t^4.151 + t^4.206 + 2*t^4.339 + t^4.473 + t^4.527 + t^4.661 + t^4.715 + t^4.849 + 2*t^4.982 + t^5.037 + 3*t^5.17 + t^5.303 + t^5.546 + t^5.624 + 3*t^5.679 + t^5.734 + 2*t^5.812 - t^6. - t^4.339/y - t^4.339*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 |
---|---|---|---|---|---|---|---|---|---|
749 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6702 | 0.8305 | 0.807 | [M:[1.0, 1.1534, 0.8959, 0.8466, 0.7178], q:[0.7822, 0.3712], qb:[0.6288, 0.4754], phi:[0.4356]] | t^2.153 + t^2.54 + t^2.614 + t^2.688 + t^3. + t^3.46 + t^3.534 + t^3.773 + t^4.159 + t^4.233 + 2*t^4.307 + t^4.619 + t^4.693 + t^4.767 + t^4.841 + 2*t^5.079 + 2*t^5.153 + t^5.227 + t^5.301 + t^5.375 + 2*t^5.614 + t^5.688 + t^5.926 - t^6. - t^4.307/y - t^4.307*y | detail |