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 |
---|---|---|---|---|---|---|---|---|---|
47284 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6488 | 0.8541 | 0.7596 | [M:[0.9712, 0.8004, 1.0288, 0.7428, 0.7428], q:[0.7428, 0.286], qb:[0.4568, 0.4568], phi:[0.5144]] | [M:[[4], [-7], [-4], [1], [1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}$ | -4 | 4*t^2.228 + t^2.401 + t^2.741 + 2*t^3.086 + t^3.259 + t^3.599 + 3*t^4.284 + 10*t^4.457 + 4*t^4.63 + t^4.803 + 4*t^4.969 + t^5.142 + 8*t^5.315 + t^5.481 + 4*t^5.488 + t^5.661 + 5*t^5.827 - 4*t^6. + t^6.173 + t^6.339 + 2*t^6.346 + 8*t^6.512 + t^6.519 + 21*t^6.685 + 7*t^6.858 + 3*t^7.025 + 2*t^7.031 + 8*t^7.197 + t^7.204 + 5*t^7.37 + 16*t^7.543 + 4*t^7.71 + 10*t^7.716 + 2*t^7.883 + 4*t^7.889 + 8*t^8.055 + t^8.062 + t^8.222 - 17*t^8.228 + 10*t^8.568 + 5*t^8.574 + 10*t^8.741 + 4*t^8.747 + 35*t^8.914 + t^8.92 - t^4.543/y - (2*t^6.772)/y - t^6.945/y + (7*t^7.457)/y + (3*t^7.63)/y + (4*t^7.969)/y + (2*t^8.142)/y + (10*t^8.315)/y + (6*t^8.488)/y + t^8.661/y + (6*t^8.827)/y - t^4.543*y - 2*t^6.772*y - t^6.945*y + 7*t^7.457*y + 3*t^7.63*y + 4*t^7.969*y + 2*t^8.142*y + 10*t^8.315*y + 6*t^8.488*y + t^8.661*y + 6*t^8.827*y | 4*g1*t^2.228 + t^2.401/g1^7 + g1^12*t^2.741 + (2*t^3.086)/g1^4 + t^3.259/g1^12 + g1^7*t^3.599 + 3*g1^10*t^4.284 + 10*g1^2*t^4.457 + (4*t^4.63)/g1^6 + t^4.803/g1^14 + 4*g1^13*t^4.969 + g1^5*t^5.142 + (8*t^5.315)/g1^3 + g1^24*t^5.481 + (4*t^5.488)/g1^11 + t^5.661/g1^19 + 5*g1^8*t^5.827 - 4*t^6. + t^6.173/g1^8 + g1^19*t^6.339 + (2*t^6.346)/g1^16 + 8*g1^11*t^6.512 + t^6.519/g1^24 + 21*g1^3*t^6.685 + (7*t^6.858)/g1^5 + 3*g1^22*t^7.025 + (2*t^7.031)/g1^13 + 8*g1^14*t^7.197 + t^7.204/g1^21 + 5*g1^6*t^7.37 + (16*t^7.543)/g1^2 + 4*g1^25*t^7.71 + (10*t^7.716)/g1^10 + 2*g1^17*t^7.883 + (4*t^7.889)/g1^18 + 8*g1^9*t^8.055 + t^8.062/g1^26 + g1^36*t^8.222 - 17*g1*t^8.228 + 10*g1^20*t^8.568 + (5*t^8.574)/g1^15 + 10*g1^12*t^8.741 + (4*t^8.747)/g1^23 + 35*g1^4*t^8.914 + t^8.92/g1^31 - t^4.543/(g1^2*y) - (2*t^6.772)/(g1*y) - t^6.945/(g1^9*y) + (7*g1^2*t^7.457)/y + (3*t^7.63)/(g1^6*y) + (4*g1^13*t^7.969)/y + (2*g1^5*t^8.142)/y + (10*t^8.315)/(g1^3*y) + (6*t^8.488)/(g1^11*y) + t^8.661/(g1^19*y) + (6*g1^8*t^8.827)/y - (t^4.543*y)/g1^2 - (2*t^6.772*y)/g1 - (t^6.945*y)/g1^9 + 7*g1^2*t^7.457*y + (3*t^7.63*y)/g1^6 + 4*g1^13*t^7.969*y + 2*g1^5*t^8.142*y + (10*t^8.315*y)/g1^3 + (6*t^8.488*y)/g1^11 + (t^8.661*y)/g1^19 + 6*g1^8*t^8.827*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 |
---|---|---|---|---|---|---|---|---|
55557 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6589 | 0.8742 | 0.7538 | [M:[0.9543, 0.83, 1.0457, 0.7386, 0.7386, 0.8629], q:[0.7386, 0.3071], qb:[0.4314, 0.4314], phi:[0.5229]] | 4*t^2.216 + t^2.49 + 2*t^2.589 + 2*t^3.137 + t^3.51 + 3*t^4.157 + 10*t^4.431 + 4*t^4.706 + 8*t^4.804 + t^4.98 + 2*t^5.079 + 3*t^5.177 + 8*t^5.353 + 7*t^5.726 - 5*t^6. - t^4.569/y - t^4.569*y | detail | |
51337 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6435 | 0.8457 | 0.7609 | [M:[0.9916, 0.7647, 1.0084, 0.7479, 0.7479, 1.0252], q:[0.7479, 0.2605], qb:[0.4874, 0.4874], phi:[0.5042]] | 4*t^2.244 + t^2.294 + 2*t^3.025 + 2*t^3.076 + t^3.706 + 3*t^4.437 + 10*t^4.487 + 4*t^4.538 + t^4.588 + 8*t^5.269 + 8*t^5.319 + 2*t^5.37 + 3*t^5.95 - 5*t^6. - t^4.513/y - t^4.513*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 |
---|---|---|---|---|---|---|---|---|---|
46501 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6294 | 0.8187 | 0.7688 | [M:[0.9719, 0.7992, 1.0281, 0.743], q:[0.743, 0.2852], qb:[0.4578, 0.4578], phi:[0.5141]] | 3*t^2.229 + t^2.398 + t^2.747 + 2*t^3.084 + t^3.253 + t^3.602 + t^3.771 + 3*t^4.289 + 6*t^4.458 + 3*t^4.627 + t^4.795 + 3*t^4.976 + t^5.145 + 6*t^5.313 + 3*t^5.482 + t^5.494 + t^5.651 + 4*t^5.831 - t^6. - t^4.542/y - t^4.542*y | detail |