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 |
|---|---|---|---|---|---|---|---|---|---|
| 2744 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6098 | 0.7827 | 0.7791 | [M:[0.9775, 1.0675, 0.9325, 0.8119], q:[0.7444, 0.2781], qb:[0.4437, 0.4887], phi:[0.5113]] | [M:[[4], [-12], [12], [-11]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.166 + t^2.301 + t^2.436 + t^2.797 + t^2.932 + t^3.068 + t^3.203 + 2*t^3.699 + t^3.834 + t^4.196 + 2*t^4.331 + 2*t^4.466 + 2*t^4.601 + t^4.736 + t^4.871 + t^4.963 + 2*t^5.098 + 3*t^5.233 + 2*t^5.368 + t^5.503 + t^5.595 + t^5.638 + t^5.73 + 2*t^5.865 + t^6. + 2*t^6.135 + 2*t^6.27 + t^6.362 + t^6.405 + 3*t^6.497 + 3*t^6.632 + 3*t^6.767 + 3*t^6.902 + t^6.994 + 2*t^7.037 + 2*t^7.129 + t^7.172 + 3*t^7.264 + t^7.307 + 4*t^7.399 + 3*t^7.534 + 3*t^7.669 + t^7.761 + 2*t^7.804 + 3*t^7.896 + t^7.939 + 3*t^8.031 + t^8.074 + t^8.166 + t^8.301 + 2*t^8.392 + 3*t^8.527 + 2*t^8.571 + 4*t^8.662 + 2*t^8.706 + 2*t^8.797 + t^8.841 + t^8.932 - t^4.534/y - t^6.969/y + t^7.466/y + t^7.601/y + t^7.736/y + t^7.963/y + (3*t^8.098)/y + (3*t^8.233)/y + (3*t^8.368)/y + (2*t^8.503)/y + t^8.638/y + t^8.73/y + (3*t^8.865)/y - t^4.534*y - t^6.969*y + t^7.466*y + t^7.601*y + t^7.736*y + t^7.963*y + 3*t^8.098*y + 3*t^8.233*y + 3*t^8.368*y + 2*t^8.503*y + t^8.638*y + t^8.73*y + 3*t^8.865*y | g1^5*t^2.166 + t^2.301/g1^3 + t^2.436/g1^11 + g1^12*t^2.797 + g1^4*t^2.932 + t^3.068/g1^4 + t^3.203/g1^12 + 2*g1^3*t^3.699 + t^3.834/g1^5 + g1^18*t^4.196 + 2*g1^10*t^4.331 + 2*g1^2*t^4.466 + (2*t^4.601)/g1^6 + t^4.736/g1^14 + t^4.871/g1^22 + g1^17*t^4.963 + 2*g1^9*t^5.098 + 3*g1*t^5.233 + (2*t^5.368)/g1^7 + t^5.503/g1^15 + g1^24*t^5.595 + t^5.638/g1^23 + g1^16*t^5.73 + 2*g1^8*t^5.865 + t^6. + (2*t^6.135)/g1^8 + (2*t^6.27)/g1^16 + g1^23*t^6.362 + t^6.405/g1^24 + 3*g1^15*t^6.497 + 3*g1^7*t^6.632 + (3*t^6.767)/g1 + (3*t^6.902)/g1^9 + g1^30*t^6.994 + (2*t^7.037)/g1^17 + 2*g1^22*t^7.129 + t^7.172/g1^25 + 3*g1^14*t^7.264 + t^7.307/g1^33 + 4*g1^6*t^7.399 + (3*t^7.534)/g1^2 + (3*t^7.669)/g1^10 + g1^29*t^7.761 + (2*t^7.804)/g1^18 + 3*g1^21*t^7.896 + t^7.939/g1^26 + 3*g1^13*t^8.031 + t^8.074/g1^34 + g1^5*t^8.166 + t^8.301/g1^3 + 2*g1^36*t^8.392 + 3*g1^28*t^8.527 + (2*t^8.571)/g1^19 + 4*g1^20*t^8.662 + (2*t^8.706)/g1^27 + 2*g1^12*t^8.797 + t^8.841/g1^35 + g1^4*t^8.932 - t^4.534/(g1^2*y) - t^6.969/(g1^13*y) + (g1^2*t^7.466)/y + t^7.601/(g1^6*y) + t^7.736/(g1^14*y) + (g1^17*t^7.963)/y + (3*g1^9*t^8.098)/y + (3*g1*t^8.233)/y + (3*t^8.368)/(g1^7*y) + (2*t^8.503)/(g1^15*y) + t^8.638/(g1^23*y) + (g1^16*t^8.73)/y + (3*g1^8*t^8.865)/y - (t^4.534*y)/g1^2 - (t^6.969*y)/g1^13 + g1^2*t^7.466*y + (t^7.601*y)/g1^6 + (t^7.736*y)/g1^14 + g1^17*t^7.963*y + 3*g1^9*t^8.098*y + 3*g1*t^8.233*y + (3*t^8.368*y)/g1^7 + (2*t^8.503*y)/g1^15 + (t^8.638*y)/g1^23 + g1^16*t^8.73*y + 3*g1^8*t^8.865*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 |
|---|---|---|---|---|---|---|---|---|
| 3257 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6178 | 0.7981 | 0.7742 | [M:[0.9643, 1.107, 0.893, 0.8481, 0.893], q:[0.7411, 0.2946], qb:[0.4108, 0.4822], phi:[0.5178]] | t^2.116 + t^2.33 + t^2.544 + 2*t^2.679 + t^2.893 + t^3.107 + 2*t^3.67 + t^3.884 + t^4.018 + 2*t^4.232 + 2*t^4.446 + 2*t^4.661 + 2*t^4.795 + t^4.875 + 3*t^5.009 + t^5.089 + 4*t^5.223 + 3*t^5.358 + t^5.437 + 2*t^5.572 + 3*t^5.786 - t^4.554/y - t^4.554*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1742 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6135 | 0.7901 | 0.7764 | [M:[0.9652, 1.1043, 0.8957, 0.7952], q:[0.7413, 0.2934], qb:[0.4635, 0.4322], phi:[0.5174]] | t^2.177 + t^2.271 + t^2.386 + t^2.687 + t^2.896 + t^3.104 + t^3.313 + t^3.521 + t^3.729 + t^3.823 + t^4.145 + t^4.239 + t^4.333 + t^4.354 + t^4.448 + t^4.542 + t^4.562 + t^4.656 + t^4.771 + t^4.864 + t^4.958 + 2*t^5.073 + t^5.167 + 2*t^5.281 + t^5.374 + t^5.375 + t^5.49 + t^5.583 + 2*t^5.698 + 2*t^5.791 + t^5.906 - t^4.552/y - t^4.552*y | detail |