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 |
|---|---|---|---|---|---|---|---|---|---|
| 46257 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.6298 | 0.8204 | 0.7677 | [M:[0.9757, 0.7196, 0.8168], q:[0.7439, 0.2804], qb:[0.4879, 0.4393], phi:[0.5121]] | [M:[[4], [5], [-11]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 2*t^2.159 + t^2.305 + t^2.45 + t^2.781 + t^2.927 + t^3.073 + t^3.219 + 2*t^3.695 + t^4.172 + 4*t^4.318 + 3*t^4.464 + 3*t^4.609 + t^4.755 + t^4.901 + 2*t^4.94 + 3*t^5.086 + 4*t^5.232 + 3*t^5.378 + t^5.523 + t^5.563 + t^5.669 + t^5.708 + 4*t^5.854 + t^6.146 + t^6.292 + 2*t^6.331 + t^6.437 + 7*t^6.477 + 5*t^6.622 + 5*t^6.768 + 3*t^6.914 + t^6.953 + 2*t^7.06 + 4*t^7.099 + t^7.206 + 6*t^7.245 + t^7.351 + 8*t^7.391 + 4*t^7.536 + 3*t^7.682 + 2*t^7.721 + 3*t^7.828 + 4*t^7.867 + t^7.974 + 6*t^8.013 + t^8.12 - t^8.159 + 2*t^8.344 - t^8.45 + 5*t^8.49 + 2*t^8.596 + 11*t^8.636 + t^8.742 + 6*t^8.781 + t^8.888 + 4*t^8.927 - t^4.536/y - t^6.695/y - t^6.987/y + t^7.318/y + (2*t^7.464)/y + (2*t^7.609)/y + t^7.755/y + (2*t^7.94)/y + (4*t^8.086)/y + (4*t^8.232)/y + (5*t^8.378)/y + (2*t^8.523)/y + t^8.669/y + t^8.708/y + (4*t^8.854)/y - t^4.536*y - t^6.695*y - t^6.987*y + t^7.318*y + 2*t^7.464*y + 2*t^7.609*y + t^7.755*y + 2*t^7.94*y + 4*t^8.086*y + 4*t^8.232*y + 5*t^8.378*y + 2*t^8.523*y + t^8.669*y + t^8.708*y + 4*t^8.854*y | 2*g1^5*t^2.159 + t^2.305/g1^3 + t^2.45/g1^11 + g1^12*t^2.781 + g1^4*t^2.927 + t^3.073/g1^4 + t^3.219/g1^12 + 2*g1^3*t^3.695 + g1^18*t^4.172 + 4*g1^10*t^4.318 + 3*g1^2*t^4.464 + (3*t^4.609)/g1^6 + t^4.755/g1^14 + t^4.901/g1^22 + 2*g1^17*t^4.94 + 3*g1^9*t^5.086 + 4*g1*t^5.232 + (3*t^5.378)/g1^7 + t^5.523/g1^15 + g1^24*t^5.563 + t^5.669/g1^23 + g1^16*t^5.708 + 4*g1^8*t^5.854 + t^6.146/g1^8 + t^6.292/g1^16 + 2*g1^23*t^6.331 + t^6.437/g1^24 + 7*g1^15*t^6.477 + 5*g1^7*t^6.622 + (5*t^6.768)/g1 + (3*t^6.914)/g1^9 + g1^30*t^6.953 + (2*t^7.06)/g1^17 + 4*g1^22*t^7.099 + t^7.206/g1^25 + 6*g1^14*t^7.245 + t^7.351/g1^33 + 8*g1^6*t^7.391 + (4*t^7.536)/g1^2 + (3*t^7.682)/g1^10 + 2*g1^29*t^7.721 + (3*t^7.828)/g1^18 + 4*g1^21*t^7.867 + t^7.974/g1^26 + 6*g1^13*t^8.013 + t^8.12/g1^34 - g1^5*t^8.159 + 2*g1^36*t^8.344 - t^8.45/g1^11 + 5*g1^28*t^8.49 + (2*t^8.596)/g1^19 + 11*g1^20*t^8.636 + t^8.742/g1^27 + 6*g1^12*t^8.781 + t^8.888/g1^35 + 4*g1^4*t^8.927 - t^4.536/(g1^2*y) - (g1^3*t^6.695)/y - t^6.987/(g1^13*y) + (g1^10*t^7.318)/y + (2*g1^2*t^7.464)/y + (2*t^7.609)/(g1^6*y) + t^7.755/(g1^14*y) + (2*g1^17*t^7.94)/y + (4*g1^9*t^8.086)/y + (4*g1*t^8.232)/y + (5*t^8.378)/(g1^7*y) + (2*t^8.523)/(g1^15*y) + t^8.669/(g1^23*y) + (g1^16*t^8.708)/y + (4*g1^8*t^8.854)/y - (t^4.536*y)/g1^2 - g1^3*t^6.695*y - (t^6.987*y)/g1^13 + g1^10*t^7.318*y + 2*g1^2*t^7.464*y + (2*t^7.609*y)/g1^6 + (t^7.755*y)/g1^14 + 2*g1^17*t^7.94*y + 4*g1^9*t^8.086*y + 4*g1*t^8.232*y + (5*t^8.378*y)/g1^7 + (2*t^8.523*y)/g1^15 + (t^8.669*y)/g1^23 + g1^16*t^8.708*y + 4*g1^8*t^8.854*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 46564 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6481 | 0.853 | 0.7598 | [M:[0.9775, 0.7219, 0.8118, 0.7669], q:[0.7444, 0.2781], qb:[0.4888, 0.4438], phi:[0.5112]] | 2*t^2.166 + 2*t^2.301 + t^2.436 + t^2.798 + t^2.933 + t^3.067 + t^3.202 + t^3.699 + t^4.196 + 4*t^4.331 + 5*t^4.466 + 5*t^4.601 + 2*t^4.736 + t^4.871 + 2*t^4.963 + 4*t^5.098 + 5*t^5.233 + 4*t^5.368 + 2*t^5.503 + t^5.595 + t^5.638 + t^5.73 + 2*t^5.865 - t^4.534/y - t^4.534*y | detail | |
| 46554 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6383 | 0.8373 | 0.7623 | [M:[0.9631, 0.7039, 0.8513, 0.8894], q:[0.7408, 0.2961], qb:[0.4816, 0.4079], phi:[0.5184]] | 2*t^2.112 + t^2.333 + t^2.554 + 2*t^2.668 + t^2.889 + t^3.111 + 2*t^3.667 + t^4.003 + 4*t^4.224 + 3*t^4.445 + 3*t^4.666 + 4*t^4.78 + t^4.887 + 4*t^5.001 + t^5.108 + 5*t^5.222 + 3*t^5.337 + t^5.443 + 2*t^5.558 + 5*t^5.779 - t^6. - t^4.555/y - t^4.555*y | detail | |
| 46577 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.625 | 0.8119 | 0.7698 | [M:[0.9898, 0.7373, 0.778, 1.0305], q:[0.7475, 0.2627], qb:[0.4949, 0.4746], phi:[0.5051]] | 2*t^2.212 + t^2.273 + t^2.334 + t^2.97 + t^3.03 + 2*t^3.091 + 2*t^3.727 + t^4.363 + 4*t^4.424 + 3*t^4.485 + 3*t^4.546 + t^4.607 + t^4.668 + 2*t^5.181 + 3*t^5.242 + 5*t^5.303 + 2*t^5.364 + 2*t^5.425 + 3*t^5.939 - t^6. - t^4.515/y - t^4.515*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45952 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6153 | 0.7974 | 0.7716 | [M:[0.9656, 0.707], q:[0.7414, 0.293], qb:[0.4828, 0.4139], phi:[0.5172]] | 2*t^2.121 + t^2.327 + t^2.69 + t^2.897 + t^3.103 + t^3.31 + t^3.466 + 2*t^3.673 + t^4.035 + 4*t^4.242 + 3*t^4.448 + t^4.655 + 2*t^4.811 + 3*t^5.018 + 3*t^5.224 + t^5.38 + 2*t^5.431 + 3*t^5.587 + 5*t^5.793 - t^4.552/y - t^4.552*y | detail |