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 |
---|---|---|---|---|---|---|---|---|---|
46342 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ | 0.6607 | 0.8017 | 0.8242 | [M:[0.9624, 0.9624, 1.1278, 0.8722], q:[0.6015, 0.4361], qb:[0.4361, 0.782], phi:[0.4361]] | [M:[[1, -7], [-1, -11], [0, 4], [0, -4]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$ | ${}$ | -5 | 2*t^2.617 + 2*t^2.887 + 2*t^3.654 + 3*t^3.925 + t^4.15 + 2*t^4.421 + t^4.917 + 3*t^5.233 + 2*t^5.504 + 3*t^5.774 - 5*t^6. + 2*t^6.271 - 2*t^6.496 + 9*t^6.541 + 4*t^6.812 + 2*t^7.038 + t^7.534 + 4*t^7.579 + 9*t^7.85 + 3*t^8.075 + 2*t^8.12 + 2*t^8.346 + 3*t^8.391 + 2*t^8.571 - 10*t^8.617 + 4*t^8.662 + 2*t^8.842 - 6*t^8.887 - t^4.308/y - t^6.925/y - (2*t^7.195)/y + (2*t^7.421)/y + t^7.692/y + t^8.233/y + (4*t^8.504)/y + t^8.774/y - t^4.308*y - t^6.925*y - 2*t^7.195*y + 2*t^7.421*y + t^7.692*y + t^8.233*y + 4*t^8.504*y + t^8.774*y | (2*t^2.617)/g2^4 + t^2.887/(g1*g2^11) + (g1*t^2.887)/g2^7 + t^3.654/(g1*g2^3) + g1*g2*t^3.654 + t^3.925/(g1^2*g2^10) + t^3.925/g2^6 + (g1^2*t^3.925)/g2^2 + g2^12*t^4.15 + (g2^5*t^4.421)/g1 + g1*g2^9*t^4.421 + g2^20*t^4.917 + (3*t^5.233)/g2^8 + t^5.504/(g1*g2^15) + (g1*t^5.504)/g2^11 + t^5.774/(g1^2*g2^22) + t^5.774/g2^18 + (g1^2*t^5.774)/g2^14 - 3*t^6. - t^6./(g1^2*g2^4) - g1^2*g2^4*t^6. + t^6.271/(g1*g2^7) + (g1*t^6.271)/g2^3 - (g2^11*t^6.496)/g1 - g1*g2^15*t^6.496 + (3*t^6.541)/(g1^2*g2^14) + (3*t^6.541)/g2^10 + (3*g1^2*t^6.541)/g2^6 + t^6.812/(g1^3*g2^21) + t^6.812/(g1*g2^17) + (g1*t^6.812)/g2^13 + (g1^3*t^6.812)/g2^9 + (g2*t^7.038)/g1 + g1*g2^5*t^7.038 + g2^16*t^7.534 + t^7.579/(g1^3*g2^13) + t^7.579/(g1*g2^9) + (g1*t^7.579)/g2^5 + (g1^3*t^7.579)/g2 + t^7.85/(g1^4*g2^20) + t^7.85/(g1^2*g2^16) + (5*t^7.85)/g2^12 + (g1^2*t^7.85)/g2^8 + (g1^4*t^7.85)/g2^4 + (g2^2*t^8.075)/g1^2 + g2^6*t^8.075 + g1^2*g2^10*t^8.075 + t^8.12/(g1*g2^19) + (g1*t^8.12)/g2^15 + t^8.346/(g1^3*g2^5) + g1^3*g2^7*t^8.346 + t^8.391/(g1^2*g2^26) + t^8.391/g2^22 + (g1^2*t^8.391)/g2^18 + (g2^17*t^8.571)/g1 + g1*g2^21*t^8.571 - 2*g1^2*t^8.617 - (2*t^8.617)/(g1^2*g2^8) - (6*t^8.617)/g2^4 + t^8.662/(g1^3*g2^33) + t^8.662/(g1*g2^29) + (g1*t^8.662)/g2^25 + (g1^3*t^8.662)/g2^21 + (g2^10*t^8.842)/g1^2 + g1^2*g2^18*t^8.842 - t^8.887/(g1^3*g2^15) - (2*t^8.887)/(g1*g2^11) - (2*g1*t^8.887)/g2^7 - (g1^3*t^8.887)/g2^3 - t^4.308/(g2^2*y) - t^6.925/(g2^6*y) - t^7.195/(g1*g2^13*y) - (g1*t^7.195)/(g2^9*y) + (g2^5*t^7.421)/(g1*y) + (g1*g2^9*t^7.421)/y + (g2^2*t^7.692)/y + t^8.233/(g2^8*y) + (2*t^8.504)/(g1*g2^15*y) + (2*g1*t^8.504)/(g2^11*y) + t^8.774/(g2^18*y) - (t^4.308*y)/g2^2 - (t^6.925*y)/g2^6 - (t^7.195*y)/(g1*g2^13) - (g1*t^7.195*y)/g2^9 + (g2^5*t^7.421*y)/g1 + g1*g2^9*t^7.421*y + g2^2*t^7.692*y + (t^8.233*y)/g2^8 + (2*t^8.504*y)/(g1*g2^15) + (2*g1*t^8.504*y)/g2^11 + (t^8.774*y)/g2^18 |
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 |
---|---|---|---|---|---|---|---|---|
46704 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6483 | 0.7846 | 0.8263 | [M:[1.005, 1.09, 1.09, 0.91], q:[0.4975, 0.4975], qb:[0.4125, 0.7725], phi:[0.455]] | 2*t^2.73 + t^3.015 + t^3.27 + t^3.555 + 2*t^3.81 + t^3.84 + 2*t^4.095 + 3*t^4.35 + 3*t^5.46 - 3*t^6. - t^4.365/y - t^4.365*y | detail | |
46352 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6815 | 0.8422 | 0.8091 | [M:[0.9604, 0.9689, 1.1268, 0.8732, 0.6818], q:[0.5988, 0.4408], qb:[0.4324, 0.7817], phi:[0.4366]] | t^2.045 + 2*t^2.62 + t^2.881 + t^2.907 + t^3.642 + t^3.668 + t^3.904 + t^3.929 + t^4.091 + t^4.141 + t^4.403 + t^4.429 + 2*t^4.665 + t^4.902 + t^4.927 + t^4.952 + 3*t^5.239 + t^5.501 + t^5.526 + t^5.687 + t^5.713 + t^5.763 + t^5.788 + t^5.813 + t^5.949 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
46412 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6786 | 0.8339 | 0.8138 | [M:[0.9772, 0.9523, 1.1268, 0.8732, 0.7692], q:[0.5987, 0.4242], qb:[0.4491, 0.7817], phi:[0.4366]] | t^2.308 + 2*t^2.62 + t^2.857 + t^2.932 + t^3.618 + t^3.855 + t^3.929 + t^4.004 + t^4.141 + t^4.378 + t^4.453 + t^4.615 + t^4.902 + 2*t^4.927 + t^5.165 + 4*t^5.239 + t^5.477 + t^5.551 + t^5.714 + t^5.788 + t^5.863 - 3*t^6. - t^4.31/y - t^4.31*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 |
---|---|---|---|---|---|---|---|---|---|
45948 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6496 | 0.7822 | 0.8305 | [M:[0.9769, 0.9769, 1.1214], q:[0.5838, 0.4393], qb:[0.4393, 0.7803], phi:[0.4393]] | t^2.636 + 2*t^2.931 + t^3.364 + 2*t^3.659 + 3*t^3.954 + t^4.092 + 2*t^4.387 + t^4.821 + t^5.272 + 3*t^5.861 - 4*t^6. - t^4.318/y - t^4.318*y | detail |