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 |
|---|---|---|---|---|---|---|---|---|---|
| 1333 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.709 | 0.8723 | 0.8128 | [M:[0.8671, 1.0452, 1.0426, 0.9522, 0.9574, 1.0478, 0.8619], q:[0.6142, 0.5187], qb:[0.4336, 0.5239], phi:[0.4774]] | [M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8], [4, -12]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{4}$ | ${}$ | -2 | t^2.586 + t^2.601 + t^2.857 + t^2.872 + t^3.128 + t^3.135 + t^3.143 + t^4.034 + t^4.289 + t^4.305 + t^4.544 + t^4.56 + 2*t^4.576 + t^4.831 + t^4.846 + t^5.117 + t^5.172 + t^5.187 + t^5.203 + t^5.442 + t^5.458 + t^5.474 + t^5.713 + t^5.721 + t^5.729 + t^5.737 + t^5.745 + t^5.992 - 2*t^6. + t^6.008 + t^6.263 - t^6.271 + t^6.279 - t^6.542 + t^6.619 + t^6.635 + t^6.875 + 2*t^6.89 + 2*t^6.906 + t^7.13 + 2*t^7.146 + 3*t^7.161 + 3*t^7.177 + t^7.401 + 2*t^7.417 + 2*t^7.432 + 2*t^7.448 + t^7.672 + t^7.688 + t^7.703 + 2*t^7.719 + t^7.757 + t^7.773 + t^7.788 + t^7.804 + t^7.99 + t^8.028 + t^8.044 + t^8.059 + t^8.067 + t^8.075 + t^8.261 + t^8.299 + t^8.307 + t^8.315 + 2*t^8.323 + 2*t^8.338 + t^8.346 + 2*t^8.578 - 3*t^8.586 + 2*t^8.594 - 4*t^8.601 + 3*t^8.609 + t^8.833 - t^8.841 + 2*t^8.849 - 4*t^8.857 + 3*t^8.865 - 5*t^8.872 + 3*t^8.88 - t^4.432/y - t^7.018/y - t^7.034/y + t^7.831/y + t^7.846/y + t^8.187/y + t^8.442/y + (2*t^8.458)/y + t^8.474/y + t^8.713/y + t^8.721/y + (3*t^8.729)/y + t^8.737/y + t^8.745/y + t^8.984/y + t^8.992/y - t^4.432*y - t^7.018*y - t^7.034*y + t^7.831*y + t^7.846*y + t^8.187*y + t^8.442*y + 2*t^8.458*y + t^8.474*y + t^8.713*y + t^8.721*y + 3*t^8.729*y + t^8.737*y + t^8.745*y + t^8.984*y + t^8.992*y | (g1^4*t^2.586)/g2^12 + g1^8*t^2.601 + t^2.857/g2^8 + g1^4*g2^4*t^2.872 + t^3.128/(g1^4*g2^4) + (g2^2*t^3.135)/g1^2 + g2^8*t^3.143 + (g1^9*t^4.034)/g2 + (g1*t^4.289)/g2^9 + g1^5*g2^3*t^4.305 + t^4.544/(g1^7*g2^17) + t^4.56/(g1^3*g2^5) + 2*g1*g2^7*t^4.576 + t^4.831/(g1^7*g2) + (g2^11*t^4.846)/g1^3 + (g2^15*t^5.117)/g1^7 + (g1^8*t^5.172)/g2^24 + (g1^12*t^5.187)/g2^12 + g1^16*t^5.203 + (g1^4*t^5.442)/g2^20 + (g1^8*t^5.458)/g2^8 + g1^12*g2^4*t^5.474 + t^5.713/g2^16 + (g1^2*t^5.721)/g2^10 + (g1^4*t^5.729)/g2^4 + g1^6*g2^2*t^5.737 + g1^8*g2^8*t^5.745 + t^5.992/(g1^2*g2^6) - 2*t^6. + g1^2*g2^6*t^6.008 + t^6.263/(g1^6*g2^2) - (g2^4*t^6.271)/g1^4 + (g2^10*t^6.279)/g1^2 - (g2^8*t^6.542)/g1^8 + (g1^13*t^6.619)/g2^13 + (g1^17*t^6.635)/g2 + (g1^5*t^6.875)/g2^21 + (2*g1^9*t^6.89)/g2^9 + 2*g1^13*g2^3*t^6.906 + t^7.13/(g1^3*g2^29) + (2*g1*t^7.146)/g2^17 + (3*g1^5*t^7.161)/g2^5 + 3*g1^9*g2^7*t^7.177 + t^7.401/(g1^7*g2^25) + (2*t^7.417)/(g1^3*g2^13) + (2*g1*t^7.432)/g2 + 2*g1^5*g2^11*t^7.448 + t^7.672/(g1^11*g2^21) + t^7.688/(g1^7*g2^9) + (g2^3*t^7.703)/g1^3 + 2*g1*g2^15*t^7.719 + (g1^12*t^7.757)/g2^36 + (g1^16*t^7.773)/g2^24 + (g1^20*t^7.788)/g2^12 + g1^24*t^7.804 + (g2^19*t^7.99)/g1^3 + (g1^8*t^8.028)/g2^32 + (g1^12*t^8.044)/g2^20 + (g1^16*t^8.059)/g2^8 + (g1^18*t^8.067)/g2^2 + g1^20*g2^4*t^8.075 + (g2^23*t^8.261)/g1^7 + (g1^4*t^8.299)/g2^28 + (g1^6*t^8.307)/g2^22 + (g1^8*t^8.315)/g2^16 + (2*g1^10*t^8.323)/g2^10 + 2*g1^14*g2^2*t^8.338 + g1^16*g2^8*t^8.346 + (2*g1^2*t^8.578)/g2^18 - (3*g1^4*t^8.586)/g2^12 + (2*g1^6*t^8.594)/g2^6 - 4*g1^8*t^8.601 + 3*g1^10*g2^6*t^8.609 + t^8.833/(g1^6*g2^26) - t^8.841/(g1^4*g2^20) + (2*t^8.849)/(g1^2*g2^14) - (4*t^8.857)/g2^8 + (3*g1^2*t^8.865)/g2^2 - 5*g1^4*g2^4*t^8.872 + 3*g1^6*g2^10*t^8.88 - (g1*t^4.432)/(g2*y) - (g1^5*t^7.018)/(g2^13*y) - (g1^9*t^7.034)/(g2*y) + t^7.831/(g1^7*g2*y) + (g2^11*t^7.846)/(g1^3*y) + (g1^12*t^8.187)/(g2^12*y) + (g1^4*t^8.442)/(g2^20*y) + (2*g1^8*t^8.458)/(g2^8*y) + (g1^12*g2^4*t^8.474)/y + t^8.713/(g2^16*y) + (g1^2*t^8.721)/(g2^10*y) + (3*g1^4*t^8.729)/(g2^4*y) + (g1^6*g2^2*t^8.737)/y + (g1^8*g2^8*t^8.745)/y + t^8.984/(g1^4*g2^12*y) + t^8.992/(g1^2*g2^6*y) - (g1*t^4.432*y)/g2 - (g1^5*t^7.018*y)/g2^13 - (g1^9*t^7.034*y)/g2 + (t^7.831*y)/(g1^7*g2) + (g2^11*t^7.846*y)/g1^3 + (g1^12*t^8.187*y)/g2^12 + (g1^4*t^8.442*y)/g2^20 + (2*g1^8*t^8.458*y)/g2^8 + g1^12*g2^4*t^8.474*y + (t^8.713*y)/g2^16 + (g1^2*t^8.721*y)/g2^10 + (3*g1^4*t^8.729*y)/g2^4 + g1^6*g2^2*t^8.737*y + g1^8*g2^8*t^8.745*y + (t^8.984*y)/(g1^4*g2^12) + (t^8.992*y)/(g1^2*g2^6) |
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 |
|---|---|---|---|---|---|---|---|---|
| 2384 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{8}$ | 0.7139 | 0.8819 | 0.8095 | [M:[0.8374, 1.0495, 1.0636, 0.9646, 0.9364, 1.0354, 0.8655, 0.9364], q:[0.6168, 0.5459], qb:[0.4187, 0.5177], phi:[0.4752]] | t^2.512 + t^2.597 + 2*t^2.809 + t^2.894 + t^3.106 + t^3.149 + t^3.938 + t^4.235 + t^4.319 + 2*t^4.532 + t^4.617 + t^4.701 + t^4.829 + t^4.914 + t^5.024 + t^5.109 + t^5.126 + t^5.193 + 2*t^5.321 + 2*t^5.406 + t^5.49 + 3*t^5.618 + t^5.661 + t^5.703 + t^5.745 + t^5.916 + 2*t^5.958 - 3*t^6. - t^4.426/y - t^4.426*y | detail | |
| 2382 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{8}$ | 0.7056 | 0.8666 | 0.8143 | [M:[0.866, 1.0393, 1.0553, 0.9767, 0.9447, 1.0233, 0.898, 1.0233], q:[0.5903, 0.5437], qb:[0.433, 0.5117], phi:[0.4803]] | t^2.598 + t^2.694 + t^2.834 + 2*t^3.07 + t^3.118 + t^3.166 + t^4.039 + t^4.275 + t^4.371 + 2*t^4.511 + t^4.607 + t^4.703 + t^4.747 + t^4.843 + t^4.983 + t^5.196 + t^5.292 + t^5.388 + t^5.432 + 2*t^5.668 + t^5.716 + t^5.764 + t^5.812 + t^5.904 + t^5.952 - 3*t^6. - t^4.441/y - t^4.441*y | detail | |
| 2383 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{8}$ | 0.706 | 0.8672 | 0.8141 | [M:[0.8983, 1.0404, 1.0209, 0.9402, 0.9791, 1.0598, 0.8594, 1.0209], q:[0.6107, 0.491], qb:[0.4491, 0.5299], phi:[0.4798]] | t^2.578 + t^2.695 + t^2.82 + 2*t^3.063 + t^3.121 + t^3.18 + t^4.134 + t^4.26 + t^4.377 + t^4.385 + t^4.502 + 2*t^4.619 + t^4.745 + t^4.861 + t^5.104 + t^5.156 + t^5.273 + t^5.39 + t^5.399 + 2*t^5.641 + t^5.699 + t^5.758 + t^5.816 + t^5.883 + t^5.942 - 3*t^6. - t^4.439/y - t^4.439*y | detail | |
| 2387 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{8}$ | 0.7145 | 0.883 | 0.8091 | [M:[0.8676, 1.0507, 1.031, 0.9296, 0.969, 1.0704, 0.8281, 0.9296], q:[0.6366, 0.4958], qb:[0.4338, 0.5352], phi:[0.4746]] | t^2.484 + t^2.603 + 2*t^2.789 + t^2.907 + t^3.093 + t^3.152 + t^4.027 + t^4.213 + t^4.331 + t^4.398 + t^4.517 + 2*t^4.635 + t^4.821 + t^4.94 + t^4.969 + t^5.087 + t^5.206 + t^5.244 + 2*t^5.273 + 2*t^5.391 + t^5.51 + 3*t^5.577 + t^5.637 + t^5.696 + t^5.755 + t^5.882 + 2*t^5.941 - 3*t^6. - t^4.424/y - t^4.424*y | detail | |
| 2392 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6466 | 0.8096 | 0.7987 | [M:[0.7113, 1.0431, 1.2025, 1.1164, 0.7975, 0.8836, 1.0303], q:[0.5279, 0.7608], qb:[0.3557, 0.4418], phi:[0.4785]] | t^2.134 + t^2.392 + t^2.651 + t^3.091 + t^3.129 + t^3.349 + t^3.569 + t^3.608 + t^3.828 + 2*t^4.086 + t^4.268 + t^4.344 + t^4.526 + t^4.603 + 2*t^4.785 + t^5.043 + t^5.225 + t^5.263 + t^5.301 + t^5.483 + t^5.522 + t^5.703 + t^5.742 + t^5.78 + 2*t^5.962 - t^6. - t^4.435/y - t^4.435*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 836 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ | 0.6993 | 0.8557 | 0.8173 | [M:[0.8954, 1.0294, 1.0457, 0.9868, 0.9543, 1.0132], q:[0.5655, 0.5391], qb:[0.4477, 0.5066], phi:[0.4853]] | t^2.686 + t^2.863 + t^2.961 + t^3.039 + t^3.088 + t^3.137 + t^3.216 + t^4.142 + t^4.319 + t^4.416 + 2*t^4.495 + t^4.593 + t^4.672 + t^4.691 + t^4.77 + t^4.849 + t^5.372 + t^5.549 + t^5.726 + t^5.775 + t^5.902 + t^5.951 - 2*t^6. - t^4.456/y - t^4.456*y | detail |