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 |
|---|---|---|---|---|---|---|---|---|---|
| 3557 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6957 | 0.8901 | 0.7816 | [M:[0.8356, 1.0548, 1.1644, 0.7259, 1.0548, 0.7259, 0.6918], q:[0.4007, 0.7637], qb:[0.4348, 0.5103], phi:[0.4726]] | [M:[[-12], [4], [12], [-20], [4], [-20], [14]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.076 + 2*t^2.178 + t^2.507 + t^2.733 + 2*t^3.164 + t^3.493 + t^3.596 + t^4.027 + 2*t^4.151 + 3*t^4.253 + 3*t^4.356 + t^4.48 + t^4.582 + 2*t^4.685 + t^4.809 + 2*t^4.911 + t^5.013 + 3*t^5.24 + 4*t^5.342 + t^5.466 + t^5.569 + 4*t^5.671 + t^5.773 + t^5.898 - 2*t^6. + t^6.102 + 2*t^6.205 + 2*t^6.227 + 6*t^6.329 + 4*t^6.431 + 5*t^6.534 + t^6.555 + 4*t^6.658 + 4*t^6.76 + 3*t^6.862 + 2*t^6.884 + 2*t^6.987 + 2*t^7.089 + 3*t^7.191 + t^7.213 + 3*t^7.315 + 4*t^7.418 + 6*t^7.52 + t^7.542 + t^7.622 + 3*t^7.644 + 4*t^7.747 + 5*t^7.849 + t^7.951 + 2*t^7.973 + t^8.054 - 2*t^8.076 - 3*t^8.178 + t^8.2 + 2*t^8.28 + 2*t^8.302 + 3*t^8.383 + 5*t^8.404 + 7*t^8.507 + 6*t^8.609 + 3*t^8.631 + 7*t^8.711 + 2*t^8.733 + 7*t^8.836 + 5*t^8.938 + 3*t^8.96 - t^4.418/y - t^6.493/y - (2*t^6.596)/y + (3*t^7.253)/y + t^7.356/y + (2*t^7.685)/y + t^7.809/y + (2*t^7.911)/y + (5*t^8.24)/y + (5*t^8.342)/y + (3*t^8.671)/y - t^8.773/y + (2*t^8.898)/y - t^4.418*y - t^6.493*y - 2*t^6.596*y + 3*t^7.253*y + t^7.356*y + 2*t^7.685*y + t^7.809*y + 2*t^7.911*y + 5*t^8.24*y + 5*t^8.342*y + 3*t^8.671*y - t^8.773*y + 2*t^8.898*y | g1^14*t^2.076 + (2*t^2.178)/g1^20 + t^2.507/g1^12 + g1^30*t^2.733 + 2*g1^4*t^3.164 + g1^12*t^3.493 + t^3.596/g1^22 + t^4.027/g1^48 + 2*g1^28*t^4.151 + (3*t^4.253)/g1^6 + (3*t^4.356)/g1^40 + g1^36*t^4.48 + g1^2*t^4.582 + (2*t^4.685)/g1^32 + g1^44*t^4.809 + 2*g1^10*t^4.911 + t^5.013/g1^24 + 3*g1^18*t^5.24 + (4*t^5.342)/g1^16 + g1^60*t^5.466 + g1^26*t^5.569 + (4*t^5.671)/g1^8 + t^5.773/g1^42 + g1^34*t^5.898 - 2*t^6. + t^6.102/g1^34 + (2*t^6.205)/g1^68 + 2*g1^42*t^6.227 + 6*g1^8*t^6.329 + (4*t^6.431)/g1^26 + (5*t^6.534)/g1^60 + g1^50*t^6.555 + 4*g1^16*t^6.658 + (4*t^6.76)/g1^18 + (3*t^6.862)/g1^52 + 2*g1^58*t^6.884 + 2*g1^24*t^6.987 + (2*t^7.089)/g1^10 + (3*t^7.191)/g1^44 + g1^66*t^7.213 + 3*g1^32*t^7.315 + (4*t^7.418)/g1^2 + (6*t^7.52)/g1^36 + g1^74*t^7.542 + t^7.622/g1^70 + 3*g1^40*t^7.644 + 4*g1^6*t^7.747 + (5*t^7.849)/g1^28 + t^7.951/g1^62 + 2*g1^48*t^7.973 + t^8.054/g1^96 - 2*g1^14*t^8.076 - (3*t^8.178)/g1^20 + g1^90*t^8.2 + (2*t^8.28)/g1^54 + 2*g1^56*t^8.302 + (3*t^8.383)/g1^88 + 5*g1^22*t^8.404 + (7*t^8.507)/g1^12 + (6*t^8.609)/g1^46 + 3*g1^64*t^8.631 + (7*t^8.711)/g1^80 + 2*g1^30*t^8.733 + (7*t^8.836)/g1^4 + (5*t^8.938)/g1^38 + 3*g1^72*t^8.96 - t^4.418/(g1^2*y) - (g1^12*t^6.493)/y - (2*t^6.596)/(g1^22*y) + (3*t^7.253)/(g1^6*y) + t^7.356/(g1^40*y) + (2*t^7.685)/(g1^32*y) + (g1^44*t^7.809)/y + (2*g1^10*t^7.911)/y + (5*g1^18*t^8.24)/y + (5*t^8.342)/(g1^16*y) + (3*t^8.671)/(g1^8*y) - t^8.773/(g1^42*y) + (2*g1^34*t^8.898)/y - (t^4.418*y)/g1^2 - g1^12*t^6.493*y - (2*t^6.596*y)/g1^22 + (3*t^7.253*y)/g1^6 + (t^7.356*y)/g1^40 + (2*t^7.685*y)/g1^32 + g1^44*t^7.809*y + 2*g1^10*t^7.911*y + 5*g1^18*t^8.24*y + (5*t^8.342*y)/g1^16 + (3*t^8.671*y)/g1^8 - (t^8.773*y)/g1^42 + 2*g1^34*t^8.898*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 |
|---|---|---|---|---|---|---|---|---|
| 5229 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6891 | 0.8807 | 0.7825 | [M:[0.8216, 1.0595, 1.1784, 0.7027, 1.0595, 0.7027, 0.7081, 1.054], q:[0.4135, 0.7649], qb:[0.4081, 0.5325], phi:[0.4703]] | 2*t^2.108 + t^2.124 + t^2.465 + t^3.162 + 2*t^3.178 + t^3.519 + t^3.535 + t^3.859 + 3*t^4.216 + 3*t^4.232 + 2*t^4.249 + 2*t^4.573 + t^4.589 + t^4.606 + t^4.93 + 2*t^5.27 + 5*t^5.286 + 2*t^5.303 + 2*t^5.627 + 4*t^5.643 + t^5.66 + 2*t^5.967 + t^5.984 - 2*t^6. - t^4.411/y - t^4.411*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2962 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6751 | 0.8503 | 0.7939 | [M:[0.8345, 1.0552, 1.1655, 0.7242, 1.0552, 0.7242], q:[0.4017, 0.7638], qb:[0.4329, 0.512], phi:[0.4724]] | 2*t^2.173 + t^2.504 + t^2.741 + 2*t^3.165 + t^3.496 + t^3.59 + t^3.921 + t^4.015 + t^4.158 + t^4.252 + 3*t^4.345 + t^4.489 + 2*t^4.676 + 2*t^4.914 + t^5.007 + t^5.245 + 4*t^5.338 + t^5.482 + 3*t^5.669 + t^5.763 + t^5.906 - 2*t^6. - t^4.417/y - t^4.417*y | detail |