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 |
---|---|---|---|---|---|---|---|---|---|
46292 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6613 | 0.8142 | 0.8122 | [M:[1.1609, 1.0162, 0.8391, 0.7677], q:[0.3838, 0.4553], qb:[0.6, 0.777], phi:[0.446]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}$ | -2 | t^2.303 + t^2.517 + t^2.676 + t^3.048 + t^3.166 + t^3.483 + t^3.641 + t^3.855 + t^4.07 + t^4.131 + t^4.289 + t^4.504 + t^4.606 + t^4.82 + t^4.938 + t^4.979 + t^5.035 + t^5.193 + t^5.352 + t^5.469 + t^5.683 + t^5.724 + t^5.842 + t^5.944 - 2*t^6. + t^6.097 + 2*t^6.158 + t^6.317 + t^6.332 + t^6.373 + t^6.531 + t^6.587 + t^6.592 + t^6.745 + 2*t^6.807 + t^6.909 + t^7.021 + t^7.118 + t^7.123 + t^7.236 + t^7.241 + 2*t^7.282 + t^7.297 - t^7.394 + t^7.455 + 2*t^7.496 + t^7.552 + t^7.614 + t^7.655 + t^7.67 + 2*t^7.711 + t^7.772 - t^7.828 + t^7.925 + t^7.93 + t^7.986 + t^8.027 + t^8.104 + t^8.139 + t^8.145 + t^8.201 + t^8.247 - 3*t^8.303 + t^8.359 + 2*t^8.4 + t^8.42 + t^8.461 - 2*t^8.517 + t^8.574 + t^8.579 + t^8.62 + t^8.635 - t^8.676 - t^8.732 + t^8.773 + t^8.834 + t^8.849 + t^8.89 + t^8.895 - 2*t^8.952 - t^4.338/y - t^6.641/y - t^7.014/y + t^7.289/y - t^7.386/y + t^7.662/y + t^7.82/y + t^7.979/y + t^8.035/y + t^8.193/y + t^8.352/y + t^8.469/y + t^8.566/y + t^8.683/y + t^8.724/y + t^8.786/y + t^8.842/y - t^4.338*y - t^6.641*y - t^7.014*y + t^7.289*y - t^7.386*y + t^7.662*y + t^7.82*y + t^7.979*y + t^8.035*y + t^8.193*y + t^8.352*y + t^8.469*y + t^8.566*y + t^8.683*y + t^8.724*y + t^8.786*y + t^8.842*y | (g1^2*t^2.303)/g2^16 + (g2^7*t^2.517)/g1 + t^2.676/g2^4 + (g2^8*t^3.048)/g1^2 + (g2^15*t^3.166)/g1 + (g1*t^3.483)/g2^7 + (g1^2*t^3.641)/g2^18 + (g2^5*t^3.855)/g1 + (g2^28*t^4.07)/g1^4 + g1*g2*t^4.131 + (g1^2*t^4.289)/g2^10 + (g2^13*t^4.504)/g1 + (g1^4*t^4.606)/g2^32 + (g1*t^4.82)/g2^9 + (g1^2*t^4.938)/g2^2 + (g1^2*t^4.979)/g2^20 + (g2^14*t^5.035)/g1^2 + (g2^3*t^5.193)/g1 + t^5.352/g2^8 + (g1*t^5.469)/g2 + (g2^22*t^5.683)/g1^2 + (g2^4*t^5.724)/g1^2 + (g2^11*t^5.842)/g1 + (g1^4*t^5.944)/g2^34 - 2*t^6. + (g2^16*t^6.097)/g1^4 + (2*g1*t^6.158)/g2^11 + (g1^2*t^6.317)/g2^22 + (g2^30*t^6.332)/g1^2 + (g2^12*t^6.373)/g1^2 + (g2*t^6.531)/g1 + (g2^35*t^6.587)/g1^5 + (g1^4*t^6.592)/g2^26 + (g2^24*t^6.745)/g1^4 + (2*g1*t^6.807)/g2^3 + (g1^6*t^6.909)/g2^48 + (g2^20*t^7.021)/g1^2 + (g2^36*t^7.118)/g1^6 + (g1^3*t^7.123)/g2^25 + (g2^43*t^7.236)/g1^5 + (g1^4*t^7.241)/g2^18 + (2*g1^4*t^7.282)/g2^36 + g2^16*t^7.297 - (g2^32*t^7.394)/g1^4 + g1*g2^5*t^7.455 + (2*g1*t^7.496)/g2^13 + (g2^21*t^7.552)/g1^3 + (g1^2*t^7.614)/g2^6 + (g1^2*t^7.655)/g2^24 + (g2^28*t^7.67)/g1^2 + (2*g2^10*t^7.711)/g1^2 + (g1^3*t^7.772)/g2^17 - (g2^17*t^7.828)/g1 + (g2^33*t^7.925)/g1^5 + (g1^4*t^7.93)/g2^28 + g2^6*t^7.986 + t^8.027/g2^12 + g1*g2^13*t^8.104 + (g2^56*t^8.139)/g1^8 + (g1*t^8.145)/g2^5 + (g2^29*t^8.201)/g1^3 + (g1^6*t^8.247)/g2^50 - (3*g1^2*t^8.303)/g2^16 + (g2^18*t^8.359)/g1^2 + (2*t^8.4)/g1^2 + (g1^3*t^8.42)/g2^9 + (g1^3*t^8.461)/g2^27 - (2*g2^7*t^8.517)/g1 + (g2^41*t^8.574)/g1^5 + (g1^4*t^8.579)/g2^20 + (g1^4*t^8.62)/g2^38 + g2^14*t^8.635 - t^8.676/g2^4 - (g2^30*t^8.732)/g1^4 + (g2^12*t^8.773)/g1^4 + (g1*t^8.834)/g2^15 + (g2^37*t^8.849)/g1^3 + (g2^19*t^8.89)/g1^3 + (g1^6*t^8.895)/g2^42 - (2*g1^2*t^8.952)/g2^8 - t^4.338/(g2^2*y) - (g1^2*t^6.641)/(g2^18*y) - t^7.014/(g2^6*y) + (g1^2*t^7.289)/(g2^10*y) - (g2^6*t^7.386)/(g1^2*y) + (g2^2*t^7.662)/y + (g1*t^7.82)/(g2^9*y) + (g1^2*t^7.979)/(g2^20*y) + (g2^14*t^8.035)/(g1^2*y) + (g2^3*t^8.193)/(g1*y) + t^8.352/(g2^8*y) + (g1*t^8.469)/(g2*y) + (g2^15*t^8.566)/(g1^3*y) + (g2^22*t^8.683)/(g1^2*y) + (g2^4*t^8.724)/(g1^2*y) + (g1^3*t^8.786)/(g2^23*y) + (g2^11*t^8.842)/(g1*y) - (t^4.338*y)/g2^2 - (g1^2*t^6.641*y)/g2^18 - (t^7.014*y)/g2^6 + (g1^2*t^7.289*y)/g2^10 - (g2^6*t^7.386*y)/g1^2 + g2^2*t^7.662*y + (g1*t^7.82*y)/g2^9 + (g1^2*t^7.979*y)/g2^20 + (g2^14*t^8.035*y)/g1^2 + (g2^3*t^8.193*y)/g1 + (t^8.352*y)/g2^8 + (g1*t^8.469*y)/g2 + (g2^15*t^8.566*y)/g1^3 + (g2^22*t^8.683*y)/g1^2 + (g2^4*t^8.724*y)/g1^2 + (g1^3*t^8.786*y)/g2^23 + (g2^11*t^8.842*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
46748 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6612 | 0.8142 | 0.8121 | [M:[1.1643, 1.0142, 0.8357, 0.7762], q:[0.3881, 0.4476], qb:[0.5977, 0.7762], phi:[0.4476]] | t^2.329 + t^2.507 + t^2.686 + t^3.042 + t^3.136 + t^3.493 + t^3.671 + t^3.85 + t^4.028 + t^4.122 + t^4.3 + t^4.479 + t^4.657 + t^4.836 + t^4.929 + 2*t^5.014 + t^5.193 + t^5.371 + t^5.465 + t^5.643 + t^5.728 + t^5.822 - t^6. - t^4.343/y - t^4.343*y | detail | |
46708 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.6816 | 0.8525 | 0.7995 | [M:[1.159, 1.0231, 0.841, 0.765, 0.712], q:[0.3825, 0.4585], qb:[0.5944, 0.7765], phi:[0.447]] | t^2.136 + t^2.295 + t^2.523 + t^2.682 + t^3.069 + t^3.159 + t^3.477 + t^3.636 + t^4.092 + t^4.113 + 2*t^4.272 + t^4.431 + t^4.5 + t^4.59 + t^4.659 + 2*t^4.818 + t^4.907 + t^4.977 + t^5.046 + 2*t^5.205 + t^5.295 + t^5.364 + t^5.454 + t^5.613 + t^5.682 + t^5.751 + t^5.772 + t^5.841 + t^5.931 - 2*t^6. - t^4.341/y - t^4.341*y | detail | |
46743 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6793 | 0.8474 | 0.8016 | [M:[1.1687, 1.0148, 0.8313, 0.788, 0.7613], q:[0.394, 0.4373], qb:[0.5912, 0.7746], phi:[0.4507]] | t^2.284 + t^2.364 + t^2.494 + t^2.704 + t^3.044 + t^3.086 + t^3.506 + t^3.846 + t^3.976 + t^4.097 + t^4.308 + t^4.438 + t^4.568 + t^4.648 + t^4.728 + t^4.778 + t^4.858 + t^4.899 + 2*t^4.988 + t^5.068 + t^5.198 + t^5.328 + t^5.369 + t^5.408 + t^5.45 + t^5.58 + t^5.749 + 2*t^5.79 - 2*t^6. - t^4.352/y - t^4.352*y | detail | |
46760 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6522 | 0.7999 | 0.8154 | [M:[1.1615, 1.0397, 0.8385, 0.7772, 1.0915], q:[0.3886, 0.4499], qb:[0.5717, 0.7729], phi:[0.4542]] | t^2.332 + t^2.515 + t^3.065 + t^3.119 + t^3.275 + t^3.485 + t^3.694 + t^3.878 + t^4.034 + t^4.062 + t^4.244 + t^4.427 + t^4.663 + t^4.793 + t^4.847 + t^5.031 + t^5.396 + t^5.58 + t^5.606 + t^5.79 - 2*t^6. - t^4.363/y - t^4.363*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 |
---|---|---|---|---|---|---|---|---|---|
46032 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.7126 | 0.866 | 0.8228 | [M:[1.0, 0.9022, 1.0, 0.9171], q:[0.4586, 0.5414], qb:[0.6393, 0.5414], phi:[0.4548]] | t^2.706 + t^2.729 + t^2.751 + 2*t^3. + 2*t^3.542 + t^4.116 + 2*t^4.364 + 3*t^4.613 + t^4.658 + 2*t^4.907 + t^5.2 + t^5.413 + t^5.435 + t^5.458 + t^5.48 + t^5.503 + 2*t^5.729 - 3*t^6. - t^4.364/y - t^4.364*y | detail |