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 |
---|---|---|---|---|---|---|---|---|---|
4606 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6929 | 0.8555 | 0.8099 | [M:[1.0797, 0.7608, 0.9021, 0.9385, 1.0615, 0.779, 1.0979, 1.0797], q:[0.5399, 0.3804], qb:[0.5581, 0.6811], phi:[0.4601]] | [M:[[-2], [6], [15], [-11], [11], [-7], [-15], [-2]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{7}$ | ${}$ | -2 | t^2.282 + t^2.337 + t^2.815 + t^3.185 + 2*t^3.239 + t^3.294 + t^3.663 + t^4.141 + t^4.196 + 2*t^4.565 + 2*t^4.62 + 2*t^4.674 + t^4.729 + t^5.043 + t^5.098 + t^5.153 + t^5.467 + 2*t^5.522 + 2*t^5.576 + t^5.631 - 2*t^6. + t^6.055 + t^6.109 + 2*t^6.424 + 4*t^6.478 + 2*t^6.533 + t^6.588 + 2*t^6.847 + 2*t^6.902 + 3*t^6.957 + 3*t^7.011 + t^7.066 + t^7.326 + t^7.38 + 2*t^7.435 + 2*t^7.49 + t^7.544 + t^7.75 + 3*t^7.804 + 3*t^7.859 + 4*t^7.913 + 3*t^7.968 + t^8.023 + t^8.228 - 2*t^8.282 - t^8.337 + 2*t^8.392 + t^8.446 + t^8.652 + 2*t^8.706 + 3*t^8.761 + t^8.815 + 2*t^8.87 + 2*t^8.925 - t^4.38/y - t^6.663/y - t^6.718/y + t^7.141/y + t^8.043/y + (2*t^8.098)/y + t^8.153/y + t^8.467/y + (3*t^8.522)/y + (3*t^8.576)/y + t^8.631/y - t^4.38*y - t^6.663*y - t^6.718*y + t^7.141*y + t^8.043*y + 2*t^8.098*y + t^8.153*y + t^8.467*y + 3*t^8.522*y + 3*t^8.576*y + t^8.631*y | g1^6*t^2.282 + t^2.337/g1^7 + t^2.815/g1^11 + g1^11*t^3.185 + (2*t^3.239)/g1^2 + t^3.294/g1^15 + g1^7*t^3.663 + g1^3*t^4.141 + t^4.196/g1^10 + 2*g1^12*t^4.565 + (2*t^4.62)/g1 + (2*t^4.674)/g1^14 + t^4.729/g1^27 + g1^8*t^5.043 + t^5.098/g1^5 + t^5.153/g1^18 + g1^17*t^5.467 + 2*g1^4*t^5.522 + (2*t^5.576)/g1^9 + t^5.631/g1^22 - 2*t^6. + t^6.055/g1^13 + t^6.109/g1^26 + 2*g1^9*t^6.424 + (4*t^6.478)/g1^4 + (2*t^6.533)/g1^17 + t^6.588/g1^30 + 2*g1^18*t^6.847 + 2*g1^5*t^6.902 + (3*t^6.957)/g1^8 + (3*t^7.011)/g1^21 + t^7.066/g1^34 + g1^14*t^7.326 + g1*t^7.38 + (2*t^7.435)/g1^12 + (2*t^7.49)/g1^25 + t^7.544/g1^38 + g1^23*t^7.75 + 3*g1^10*t^7.804 + (3*t^7.859)/g1^3 + (4*t^7.913)/g1^16 + (3*t^7.968)/g1^29 + t^8.023/g1^42 + g1^19*t^8.228 - 2*g1^6*t^8.282 - t^8.337/g1^7 + (2*t^8.392)/g1^20 + t^8.446/g1^33 + g1^28*t^8.652 + 2*g1^15*t^8.706 + 3*g1^2*t^8.761 + t^8.815/g1^11 + (2*t^8.87)/g1^24 + (2*t^8.925)/g1^37 - (g1*t^4.38)/y - (g1^7*t^6.663)/y - t^6.718/(g1^6*y) + (g1^3*t^7.141)/y + (g1^8*t^8.043)/y + (2*t^8.098)/(g1^5*y) + t^8.153/(g1^18*y) + (g1^17*t^8.467)/y + (3*g1^4*t^8.522)/y + (3*t^8.576)/(g1^9*y) + t^8.631/(g1^22*y) - g1*t^4.38*y - g1^7*t^6.663*y - (t^6.718*y)/g1^6 + g1^3*t^7.141*y + g1^8*t^8.043*y + (2*t^8.098*y)/g1^5 + (t^8.153*y)/g1^18 + g1^17*t^8.467*y + 3*g1^4*t^8.522*y + (3*t^8.576*y)/g1^9 + (t^8.631*y)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
6148 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{7}M_{9}$ | 0.7036 | 0.8732 | 0.8058 | [M:[1.0854, 0.7437, 0.8593, 0.9699, 1.0301, 0.799, 1.1407, 1.0854, 0.8593], q:[0.5427, 0.3719], qb:[0.598, 0.6583], phi:[0.4573]] | t^2.231 + t^2.397 + t^2.578 + t^2.91 + t^3.09 + 2*t^3.256 + t^3.603 + t^4.116 + t^4.281 + 2*t^4.462 + 2*t^4.628 + 2*t^4.794 + t^4.809 + t^4.96 + 2*t^4.975 + t^5.141 + t^5.156 + t^5.307 + t^5.322 + 3*t^5.487 + t^5.653 + t^5.668 + 2*t^5.834 - 2*t^6. - t^4.372/y - t^4.372*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 |
---|---|---|---|---|---|---|---|---|---|
2552 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.7003 | 0.8676 | 0.8071 | [M:[1.0806, 0.7583, 0.8957, 0.9432, 1.0568, 0.782, 1.1043], q:[0.5403, 0.3791], qb:[0.564, 0.6777], phi:[0.4597]] | t^2.275 + t^2.346 + t^2.758 + t^2.83 + t^3.17 + t^3.242 + t^3.313 + t^3.654 + t^4.137 + t^4.209 + 2*t^4.55 + 2*t^4.621 + 2*t^4.692 + t^4.763 + 2*t^5.033 + 2*t^5.104 + t^5.176 + t^5.445 + 2*t^5.517 + 2*t^5.588 + t^5.659 + t^5.929 - t^6. - t^4.379/y - t^4.379*y | detail |