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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58305 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.7015 | 0.8648 | 0.8111 | [M:[0.8955, 1.0, 1.0697, 0.9652, 0.9303, 1.0348, 0.9303, 1.0174], q:[0.5697, 0.5348], qb:[0.4303, 0.5], phi:[0.4913]] | [M:[[12], [0], [-8], [4], [8], [-4], [8], [-2]], q:[[-8], [-4]], qb:[[8], [0]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{8}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$ | ${}$ | -2 | t^2.686 + 2*t^2.791 + t^2.895 + t^3. + t^3.052 + t^3.105 + t^4.056 + t^4.265 + t^4.369 + 2*t^4.474 + t^4.578 + 2*t^4.683 + t^4.787 + t^4.892 + t^5.373 + 2*t^5.477 + 3*t^5.582 + 2*t^5.686 + t^5.739 + 2*t^5.791 + 2*t^5.843 + t^5.895 + t^5.948 - 2*t^6. + t^6.052 - t^6.105 + t^6.157 - t^6.209 - t^6.314 - t^6.418 + t^6.742 + 2*t^6.847 + 2*t^6.951 + 3*t^7.056 + 4*t^7.16 + 4*t^7.265 + 4*t^7.369 + 4*t^7.474 + 3*t^7.578 + 2*t^7.683 + t^7.787 + t^8.059 + t^8.112 + 2*t^8.164 + 3*t^8.268 + t^8.321 + 4*t^8.373 + 2*t^8.425 + 2*t^8.477 + 4*t^8.53 + t^8.582 + 4*t^8.634 - 2*t^8.686 + 5*t^8.739 - 6*t^8.791 + 4*t^8.843 - 6*t^8.895 + 5*t^8.948 - t^4.474/y - t^7.16/y - t^7.265/y + t^7.683/y + t^7.787/y + (2*t^8.477)/y + (2*t^8.582)/y + (3*t^8.686)/y + t^8.739/y + (3*t^8.791)/y + (2*t^8.843)/y + (3*t^8.895)/y + t^8.948/y - t^4.474*y - t^7.16*y - t^7.265*y + t^7.683*y + t^7.787*y + 2*t^8.477*y + 2*t^8.582*y + 3*t^8.686*y + t^8.739*y + 3*t^8.791*y + 2*t^8.843*y + 3*t^8.895*y + t^8.948*y | g1^12*t^2.686 + 2*g1^8*t^2.791 + g1^4*t^2.895 + t^3. + t^3.052/g1^2 + t^3.105/g1^4 + g1^17*t^4.056 + g1^9*t^4.265 + g1^5*t^4.369 + 2*g1*t^4.474 + t^4.578/g1^3 + (2*t^4.683)/g1^7 + t^4.787/g1^11 + t^4.892/g1^15 + g1^24*t^5.373 + 2*g1^20*t^5.477 + 3*g1^16*t^5.582 + 2*g1^12*t^5.686 + g1^10*t^5.739 + 2*g1^8*t^5.791 + 2*g1^6*t^5.843 + g1^4*t^5.895 + g1^2*t^5.948 - 2*t^6. + t^6.052/g1^2 - t^6.105/g1^4 + t^6.157/g1^6 - t^6.209/g1^8 - t^6.314/g1^12 - t^6.418/g1^16 + g1^29*t^6.742 + 2*g1^25*t^6.847 + 2*g1^21*t^6.951 + 3*g1^17*t^7.056 + 4*g1^13*t^7.16 + 4*g1^9*t^7.265 + 4*g1^5*t^7.369 + 4*g1*t^7.474 + (3*t^7.578)/g1^3 + (2*t^7.683)/g1^7 + t^7.787/g1^11 + g1^36*t^8.059 + g1^34*t^8.112 + 2*g1^32*t^8.164 + 3*g1^28*t^8.268 + g1^26*t^8.321 + 4*g1^24*t^8.373 + 2*g1^22*t^8.425 + 2*g1^20*t^8.477 + 4*g1^18*t^8.53 + g1^16*t^8.582 + 4*g1^14*t^8.634 - 2*g1^12*t^8.686 + 5*g1^10*t^8.739 - 6*g1^8*t^8.791 + 4*g1^6*t^8.843 - 6*g1^4*t^8.895 + 5*g1^2*t^8.948 - (g1*t^4.474)/y - (g1^13*t^7.16)/y - (g1^9*t^7.265)/y + t^7.683/(g1^7*y) + t^7.787/(g1^11*y) + (2*g1^20*t^8.477)/y + (2*g1^16*t^8.582)/y + (3*g1^12*t^8.686)/y + (g1^10*t^8.739)/y + (3*g1^8*t^8.791)/y + (2*g1^6*t^8.843)/y + (3*g1^4*t^8.895)/y + (g1^2*t^8.948)/y - g1*t^4.474*y - g1^13*t^7.16*y - g1^9*t^7.265*y + (t^7.683*y)/g1^7 + (t^7.787*y)/g1^11 + 2*g1^20*t^8.477*y + 2*g1^16*t^8.582*y + 3*g1^12*t^8.686*y + g1^10*t^8.739*y + 3*g1^8*t^8.791*y + 2*g1^6*t^8.843*y + 3*g1^4*t^8.895*y + g1^2*t^8.948*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 |
---|---|---|---|---|---|---|---|---|---|
56127 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.7032 | 0.8682 | 0.8099 | [M:[0.8874, 1.0, 1.0751, 0.9625, 0.9249, 1.0375, 0.9249], q:[0.5751, 0.5375], qb:[0.4249, 0.5], phi:[0.4906]] | t^2.662 + 2*t^2.775 + t^2.887 + t^2.944 + t^3. + t^3.113 + t^4.021 + t^4.247 + t^4.359 + 2*t^4.472 + t^4.584 + 2*t^4.697 + t^4.81 + t^4.922 + t^5.324 + 2*t^5.437 + 3*t^5.55 + t^5.606 + 2*t^5.662 + 2*t^5.719 + 2*t^5.775 + t^5.831 + 2*t^5.887 + t^5.944 - 2*t^6. - t^4.472/y - t^4.472*y | detail |