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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# | 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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754 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}M_{6}$ | 0.6485 | 0.7962 | 0.8144 | [M:[0.6921, 1.2959, 0.7101, 0.7101, 0.6981, 1.2899], q:[0.833, 0.8149], qb:[0.4749, 0.4689], phi:[0.3521]] | [M:[[-8, 4], [2, 2], [1, -5], [1, -5], [-5, 1], [-1, 5]], q:[[5, -4], [-4, 5]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{5}q_{1}\tilde{q}_{2}$ | -1 | t^2.076 + t^2.094 + t^2.13 + t^2.831 + t^3.851 + t^3.87 + 2*t^3.888 + t^3.906 + t^4.152 + t^4.17 + t^4.189 + t^4.207 + t^4.225 + t^4.261 + t^4.908 + t^4.926 + t^4.944 + t^4.962 + t^5.663 + t^5.928 + 2*t^5.946 + 2*t^5.964 + 2*t^5.982 - t^6. + t^6.229 + t^6.247 + t^6.265 + 2*t^6.283 + t^6.301 + t^6.319 + t^6.337 + t^6.355 + t^6.391 + t^6.683 + t^6.701 + 2*t^6.719 + t^6.737 + t^6.984 + t^7.002 + t^7.02 - t^7.056 - t^7.074 + t^7.703 + t^7.721 + 3*t^7.739 + 2*t^7.757 + 2*t^7.775 + t^7.793 + t^8.004 + 2*t^8.022 + 3*t^8.04 + 2*t^8.058 - 2*t^8.094 - 2*t^8.13 + t^8.305 + t^8.323 + t^8.341 + 2*t^8.359 + 2*t^8.377 + t^8.395 + 2*t^8.413 + t^8.431 + t^8.449 + t^8.468 + t^8.486 + t^8.494 + t^8.522 + t^8.759 + 2*t^8.777 + 2*t^8.795 + t^8.813 - t^8.831 - t^8.85 - t^8.868 - t^4.056/y - t^6.132/y - t^6.15/y - t^6.187/y + t^7.17/y + t^7.207/y + t^7.225/y + t^7.908/y + (2*t^7.926)/y + (2*t^7.962)/y + t^7.98/y - t^8.209/y - t^8.227/y - t^8.245/y - t^8.263/y - t^8.281/y - t^8.317/y + t^8.928/y + (2*t^8.946)/y + (3*t^8.964)/y + (4*t^8.982)/y - t^4.056*y - t^6.132*y - t^6.15*y - t^6.187*y + t^7.17*y + t^7.207*y + t^7.225*y + t^7.908*y + 2*t^7.926*y + 2*t^7.962*y + t^7.98*y - t^8.209*y - t^8.227*y - t^8.245*y - t^8.263*y - t^8.281*y - t^8.317*y + t^8.928*y + 2*t^8.946*y + 3*t^8.964*y + 4*t^8.982*y | (g2^4*t^2.076)/g1^8 + (g2*t^2.094)/g1^5 + (g1*t^2.13)/g2^5 + g1^3*g2^3*t^2.831 + (g2^8*t^3.851)/g1^4 + (g2^5*t^3.87)/g1 + 2*g1^2*g2^2*t^3.888 + (g1^5*t^3.906)/g2 + (g2^8*t^4.152)/g1^16 + (g2^5*t^4.17)/g1^13 + (g2^2*t^4.189)/g1^10 + t^4.207/(g1^7*g2) + t^4.225/(g1^4*g2^4) + (g1^2*t^4.261)/g2^10 + (g2^7*t^4.908)/g1^5 + (g2^4*t^4.926)/g1^2 + g1*g2*t^4.944 + (g1^4*t^4.962)/g2^2 + g1^6*g2^6*t^5.663 + (g2^12*t^5.928)/g1^12 + (2*g2^9*t^5.946)/g1^9 + (2*g2^6*t^5.964)/g1^6 + (2*g2^3*t^5.982)/g1^3 - t^6. + (g2^12*t^6.229)/g1^24 + (g2^9*t^6.247)/g1^21 + (g2^6*t^6.265)/g1^18 + (2*g2^3*t^6.283)/g1^15 + t^6.301/g1^12 + t^6.319/(g1^9*g2^3) + t^6.337/(g1^6*g2^6) + t^6.355/(g1^3*g2^9) + (g1^3*t^6.391)/g2^15 + (g2^11*t^6.683)/g1 + g1^2*g2^8*t^6.701 + 2*g1^5*g2^5*t^6.719 + g1^8*g2^2*t^6.737 + (g2^11*t^6.984)/g1^13 + (g2^8*t^7.002)/g1^10 + (g2^5*t^7.02)/g1^7 - t^7.056/(g1*g2) - (g1^2*t^7.074)/g2^4 + (g2^16*t^7.703)/g1^8 + (g2^13*t^7.721)/g1^5 + (3*g2^10*t^7.739)/g1^2 + 2*g1*g2^7*t^7.757 + 2*g1^4*g2^4*t^7.775 + g1^7*g2*t^7.793 + (g2^16*t^8.004)/g1^20 + (2*g2^13*t^8.022)/g1^17 + (3*g2^10*t^8.04)/g1^14 + (2*g2^7*t^8.058)/g1^11 - (2*g2*t^8.094)/g1^5 - (2*g1*t^8.13)/g2^5 + (g2^16*t^8.305)/g1^32 + (g2^13*t^8.323)/g1^29 + (g2^10*t^8.341)/g1^26 + (2*g2^7*t^8.359)/g1^23 + (2*g2^4*t^8.377)/g1^20 + (g2*t^8.395)/g1^17 + (2*t^8.413)/(g1^14*g2^2) + t^8.431/(g1^11*g2^5) + t^8.449/(g1^8*g2^8) + t^8.468/(g1^5*g2^11) + t^8.486/(g1^2*g2^14) + g1^9*g2^9*t^8.494 + (g1^4*t^8.522)/g2^20 + (g2^15*t^8.759)/g1^9 + (2*g2^12*t^8.777)/g1^6 + (2*g2^9*t^8.795)/g1^3 + g2^6*t^8.813 - g1^3*g2^3*t^8.831 - g1^6*t^8.85 - (g1^9*t^8.868)/g2^3 - t^4.056/(g1*g2*y) - (g2^3*t^6.132)/(g1^9*y) - t^6.15/(g1^6*y) - t^6.187/(g2^6*y) + (g2^5*t^7.17)/(g1^13*y) + t^7.207/(g1^7*g2*y) + t^7.225/(g1^4*g2^4*y) + (g2^7*t^7.908)/(g1^5*y) + (2*g2^4*t^7.926)/(g1^2*y) + (2*g1^4*t^7.962)/(g2^2*y) + (g1^7*t^7.98)/(g2^5*y) - (g2^7*t^8.209)/(g1^17*y) - (g2^4*t^8.227)/(g1^14*y) - (g2*t^8.245)/(g1^11*y) - t^8.263/(g1^8*g2^2*y) - t^8.281/(g1^5*g2^5*y) - (g1*t^8.317)/(g2^11*y) + (g2^12*t^8.928)/(g1^12*y) + (2*g2^9*t^8.946)/(g1^9*y) + (3*g2^6*t^8.964)/(g1^6*y) + (4*g2^3*t^8.982)/(g1^3*y) - (t^4.056*y)/(g1*g2) - (g2^3*t^6.132*y)/g1^9 - (t^6.15*y)/g1^6 - (t^6.187*y)/g2^6 + (g2^5*t^7.17*y)/g1^13 + (t^7.207*y)/(g1^7*g2) + (t^7.225*y)/(g1^4*g2^4) + (g2^7*t^7.908*y)/g1^5 + (2*g2^4*t^7.926*y)/g1^2 + (2*g1^4*t^7.962*y)/g2^2 + (g1^7*t^7.98*y)/g2^5 - (g2^7*t^8.209*y)/g1^17 - (g2^4*t^8.227*y)/g1^14 - (g2*t^8.245*y)/g1^11 - (t^8.263*y)/(g1^8*g2^2) - (t^8.281*y)/(g1^5*g2^5) - (g1*t^8.317*y)/g2^11 + (g2^12*t^8.928*y)/g1^12 + (2*g2^9*t^8.946*y)/g1^9 + (3*g2^6*t^8.964*y)/g1^6 + (4*g2^3*t^8.982*y)/g1^3 |
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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# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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1238 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ | 0.5667 | 0.7026 | 0.8065 | [M:[1.0591, 1.1773, 0.7045, 0.7045, 0.9409, 1.2955], q:[0.617, 0.9716], qb:[0.3239, 0.442], phi:[0.4114]] | t^2.114 + t^2.298 + t^2.823 + 2*t^3.177 + 2*t^3.532 + t^3.886 + t^4.227 + t^4.241 + t^4.411 + t^4.595 + t^4.766 + t^4.936 + t^5.12 + t^5.291 + 2*t^5.475 + t^5.645 + 2*t^5.83 - t^4.234/y - t^4.234*y | detail | |
1239 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}M_{7}$ | 0.6689 | 0.8347 | 0.8013 | [M:[0.6937, 1.3015, 0.7009, 0.7009, 0.6961, 1.2991, 0.7009], q:[0.829, 0.8218], qb:[0.4773, 0.4749], phi:[0.3493]] | t^2.081 + t^2.088 + 2*t^2.103 + t^2.857 + t^3.89 + 2*t^3.904 + t^3.912 + t^4.162 + t^4.169 + t^4.177 + 2*t^4.184 + 2*t^4.191 + 3*t^4.205 + t^4.938 + t^4.945 + t^4.952 + 2*t^4.959 + t^5.713 + t^5.971 + t^5.978 + t^5.986 + 3*t^5.993 - 2*t^6. - t^4.048/y - t^4.048*y | detail | |
1993 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6691 | 0.8361 | 0.8002 | [M:[0.6855, 1.2991, 0.7086, 0.7086, 0.6932, 1.2914, 0.6932], q:[0.8363, 0.8133], qb:[0.4782, 0.4705], phi:[0.3505]] | t^2.057 + 2*t^2.08 + t^2.126 + t^2.846 + t^3.851 + t^3.874 + 2*t^3.897 + t^4.113 + 2*t^4.136 + 3*t^4.159 + t^4.182 + 2*t^4.205 + t^4.251 + t^4.903 + 2*t^4.926 + t^4.949 + t^4.972 + t^5.692 + t^5.908 + 3*t^5.931 + 3*t^5.954 + 3*t^5.977 - 2*t^6. - t^4.051/y - t^4.051*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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# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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No data available in table |
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 |
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# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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458 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.6489 | 0.7994 | 0.8117 | [M:[0.6959, 1.2905, 0.7366, 0.6959, 0.6824, 1.2634], q:[0.8226, 0.8226], qb:[0.4814, 0.4543], phi:[0.3548]] | t^2.047 + 2*t^2.088 + t^2.807 + t^3.79 + 2*t^3.831 + 2*t^3.871 + t^4.094 + 2*t^4.135 + 3*t^4.176 + t^4.854 + 2*t^4.895 + t^4.936 + t^5.614 + t^5.837 + 4*t^5.878 + 5*t^5.919 + 2*t^5.959 - 3*t^6. - t^4.064/y - t^4.064*y | detail |