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 |
---|---|---|---|---|---|---|---|---|---|
3407 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6708 | 0.8471 | 0.7919 | [X:[1.6178], M:[0.7084, 0.8203, 0.3822, 1.1466, 0.8534, 0.7975, 0.7644], q:[0.8814, 0.4101], qb:[0.7364, 0.4433], phi:[0.3822]] | [X:[[0, 1]], M:[[2, -10], [-2, 6], [0, -1], [0, -3], [0, 3], [2, -5], [0, -2]], q:[[-1, 7], [-1, 3]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.125 + 2*t^2.293 + t^2.393 + t^2.461 + t^2.56 + t^3.44 + t^3.806 + t^3.974 + t^4.251 + 2*t^4.418 + t^4.518 + 4*t^4.586 + 3*t^4.686 + 2*t^4.754 + t^4.785 + 4*t^4.853 + t^4.922 + t^4.953 + t^5.021 + t^5.121 + t^5.565 + t^5.733 + t^5.932 - 2*t^6. + 2*t^6.099 - t^6.168 + t^6.199 + 2*t^6.267 + 2*t^6.367 + t^6.376 + t^6.435 + t^6.534 + 2*t^6.544 + t^6.643 + 4*t^6.712 + 3*t^6.811 + 6*t^6.879 + t^6.91 + 6*t^6.979 + 3*t^7.047 + 3*t^7.078 + 5*t^7.147 + t^7.178 + 2*t^7.215 + 4*t^7.246 + 2*t^7.314 + t^7.345 + t^7.383 + t^7.414 + t^7.482 + t^7.613 + t^7.69 + t^7.78 + t^7.858 + t^7.948 + t^8.026 + t^8.057 - 3*t^8.125 - t^8.194 + 2*t^8.225 - 6*t^8.293 + t^8.324 - t^8.393 - 6*t^8.461 + 3*t^8.492 + t^8.501 - 2*t^8.56 + t^8.591 - t^8.629 + 4*t^8.66 + 2*t^8.669 + 2*t^8.759 + t^8.769 + 3*t^8.828 + 4*t^8.837 + t^8.896 + 2*t^8.927 + 3*t^8.936 + t^8.995 - t^4.147/y - t^6.272/y - (2*t^6.44)/y - t^6.539/y - t^6.607/y + (2*t^7.418)/y + t^7.518/y + (2*t^7.586)/y + (4*t^7.686)/y + (3*t^7.754)/y + (5*t^7.853)/y + t^7.953/y + (2*t^8.021)/y - t^8.397/y - t^8.565/y - t^8.664/y - (2*t^8.733)/y - t^8.832/y - t^8.901/y - t^4.147*y - t^6.272*y - 2*t^6.44*y - t^6.539*y - t^6.607*y + 2*t^7.418*y + t^7.518*y + 2*t^7.586*y + 4*t^7.686*y + 3*t^7.754*y + 5*t^7.853*y + t^7.953*y + 2*t^8.021*y - t^8.397*y - t^8.565*y - t^8.664*y - 2*t^8.733*y - t^8.832*y - t^8.901*y | (g1^2*t^2.125)/g2^10 + (2*t^2.293)/g2^2 + (g1^2*t^2.393)/g2^5 + (g2^6*t^2.461)/g1^2 + g2^3*t^2.56 + t^3.44/g2^3 + (g1^2*t^3.806)/g2 + g2^7*t^3.974 + (g1^4*t^4.251)/g2^20 + (2*g1^2*t^4.418)/g2^12 + (g1^4*t^4.518)/g2^15 + (4*t^4.586)/g2^4 + (3*g1^2*t^4.686)/g2^7 + (2*g2^4*t^4.754)/g1^2 + (g1^4*t^4.785)/g2^10 + 4*g2*t^4.853 + (g2^12*t^4.922)/g1^4 + (g1^2*t^4.953)/g2^2 + (g2^9*t^5.021)/g1^2 + g2^6*t^5.121 + (g1^2*t^5.565)/g2^13 + t^5.733/g2^5 + (g1^4*t^5.932)/g2^11 - 2*t^6. + (2*g1^2*t^6.099)/g2^3 - (g2^8*t^6.168)/g1^2 + (g1^4*t^6.199)/g2^6 + 2*g2^5*t^6.267 + 2*g1^2*g2^2*t^6.367 + (g1^6*t^6.376)/g2^30 + (g2^13*t^6.435)/g1^2 + g2^10*t^6.534 + (2*g1^4*t^6.544)/g2^22 + (g1^6*t^6.643)/g2^25 + (4*g1^2*t^6.712)/g2^14 + (3*g1^4*t^6.811)/g2^17 + (6*t^6.879)/g2^6 + (g1^6*t^6.91)/g2^20 + (6*g1^2*t^6.979)/g2^9 + (3*g2^2*t^7.047)/g1^2 + (3*g1^4*t^7.078)/g2^12 + (5*t^7.147)/g2 + (g1^6*t^7.178)/g2^15 + (2*g2^10*t^7.215)/g1^4 + (4*g1^2*t^7.246)/g2^4 + (2*g2^7*t^7.314)/g1^2 + (g1^4*t^7.345)/g2^7 + (g2^18*t^7.383)/g1^6 + g2^4*t^7.414 + (g2^15*t^7.482)/g1^4 + (g1^4*t^7.613)/g2^2 + (g1^4*t^7.69)/g2^23 + g1^2*g2^6*t^7.78 + (g1^2*t^7.858)/g2^15 + g2^14*t^7.948 + t^8.026/g2^7 + (g1^6*t^8.057)/g2^21 - (3*g1^2*t^8.125)/g2^10 - (g2*t^8.194)/g1^2 + (2*g1^4*t^8.225)/g2^13 - (6*t^8.293)/g2^2 + (g1^6*t^8.324)/g2^16 - (g1^2*t^8.393)/g2^5 - (6*g2^6*t^8.461)/g1^2 + (3*g1^4*t^8.492)/g2^8 + (g1^8*t^8.501)/g2^40 - 2*g2^3*t^8.56 + (g1^6*t^8.591)/g2^11 - (g2^14*t^8.629)/g1^4 + 4*g1^2*t^8.66 + (2*g1^6*t^8.669)/g2^32 + (2*g1^4*t^8.759)/g2^3 + (g1^8*t^8.769)/g2^35 + 3*g2^8*t^8.828 + (4*g1^4*t^8.837)/g2^24 + (g2^19*t^8.896)/g1^4 + 2*g1^2*g2^5*t^8.927 + (3*g1^6*t^8.936)/g2^27 + (g2^16*t^8.995)/g1^2 - t^4.147/(g2*y) - (g1^2*t^6.272)/(g2^11*y) - (2*t^6.44)/(g2^3*y) - (g1^2*t^6.539)/(g2^6*y) - (g2^5*t^6.607)/(g1^2*y) + (2*g1^2*t^7.418)/(g2^12*y) + (g1^4*t^7.518)/(g2^15*y) + (2*t^7.586)/(g2^4*y) + (4*g1^2*t^7.686)/(g2^7*y) + (3*g2^4*t^7.754)/(g1^2*y) + (5*g2*t^7.853)/y + (g1^2*t^7.953)/(g2^2*y) + (2*g2^9*t^8.021)/(g1^2*y) - (g1^4*t^8.397)/(g2^21*y) - (g1^2*t^8.565)/(g2^13*y) - (g1^4*t^8.664)/(g2^16*y) - (2*t^8.733)/(g2^5*y) - (g1^2*t^8.832)/(g2^8*y) - (g2^3*t^8.901)/(g1^2*y) - (t^4.147*y)/g2 - (g1^2*t^6.272*y)/g2^11 - (2*t^6.44*y)/g2^3 - (g1^2*t^6.539*y)/g2^6 - (g2^5*t^6.607*y)/g1^2 + (2*g1^2*t^7.418*y)/g2^12 + (g1^4*t^7.518*y)/g2^15 + (2*t^7.586*y)/g2^4 + (4*g1^2*t^7.686*y)/g2^7 + (3*g2^4*t^7.754*y)/g1^2 + 5*g2*t^7.853*y + (g1^2*t^7.953*y)/g2^2 + (2*g2^9*t^8.021*y)/g1^2 - (g1^4*t^8.397*y)/g2^21 - (g1^2*t^8.565*y)/g2^13 - (g1^4*t^8.664*y)/g2^16 - (2*t^8.733*y)/g2^5 - (g1^2*t^8.832*y)/g2^8 - (g2^3*t^8.901*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
3892 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.691 | 0.8849 | 0.7809 | [X:[1.6205], M:[0.7077, 0.8103, 0.3795, 1.1385, 0.8615, 0.8103, 0.759, 0.7077], q:[0.8871, 0.4051], qb:[0.7334, 0.4564], phi:[0.3795]] | 2*t^2.123 + 2*t^2.277 + 2*t^2.431 + t^2.585 + t^3.415 + t^4.031 + 3*t^4.246 + 4*t^4.4 + 7*t^4.554 + 6*t^4.708 + 6*t^4.862 + 2*t^5.015 + t^5.169 + 2*t^5.539 + t^5.692 - 2*t^6. - t^4.138/y - t^4.138*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 |
---|---|---|---|---|---|---|---|---|---|
2846 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6525 | 0.8144 | 0.8012 | [X:[1.6156], M:[0.7165, 0.8211, 0.3844, 1.1532, 0.8468, 0.7945], q:[0.873, 0.4106], qb:[0.7426, 0.4363], phi:[0.3844]] | t^2.149 + t^2.306 + t^2.383 + t^2.463 + t^2.54 + t^3.46 + t^3.694 + t^3.771 + t^3.928 + t^4.299 + t^4.456 + t^4.533 + 2*t^4.613 + 2*t^4.69 + t^4.767 + t^4.77 + 3*t^4.847 + t^4.924 + t^4.927 + t^5.004 + t^5.081 + t^5.609 + t^5.843 + t^5.92 - t^6. - t^4.153/y - t^4.153*y | detail |