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 |
|---|---|---|---|---|---|---|---|---|---|
| 2851 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6809 | 0.8616 | 0.7903 | [M:[0.8369, 1.0544, 1.1631, 0.7282, 0.6903], q:[0.3995, 0.7636], qb:[0.4374, 0.5082], phi:[0.4728]] | [M:[[-12], [4], [12], [-20], [14]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}^{2}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | 0 | t^2.071 + t^2.185 + t^2.511 + t^2.723 + t^2.837 + t^3.163 + t^3.489 + t^3.603 + t^3.815 + t^4.043 + 2*t^4.142 + 2*t^4.255 + t^4.369 + t^4.468 + t^4.582 + t^4.695 + t^4.794 + 2*t^4.908 + 2*t^5.022 + 2*t^5.234 + 2*t^5.348 + t^5.446 + 2*t^5.56 + 3*t^5.674 + t^5.886 + t^6.114 + 2*t^6.212 + t^6.228 + 4*t^6.326 + 2*t^6.44 + 2*t^6.538 + 2*t^6.554 + 3*t^6.652 + 2*t^6.766 + 2*t^6.865 + 2*t^6.88 + 4*t^6.978 + 2*t^7.092 + t^7.191 + 2*t^7.206 + 3*t^7.305 + t^7.418 + t^7.517 + 2*t^7.532 + 3*t^7.631 + t^7.646 + 4*t^7.745 + 3*t^7.858 + 3*t^7.957 + t^8.086 + t^8.169 + t^8.185 + 4*t^8.283 + t^8.299 + 3*t^8.397 + t^8.412 + 3*t^8.511 + 3*t^8.609 + 2*t^8.625 + 2*t^8.723 + 2*t^8.739 + t^8.837 + 3*t^8.935 + 2*t^8.951 - t^4.418/y - t^6.489/y - t^6.603/y + t^7.255/y + t^7.582/y + t^7.695/y + t^7.794/y + (2*t^7.908)/y + t^8.022/y + (3*t^8.234)/y + (3*t^8.348)/y + t^8.56/y + (2*t^8.674)/y + (2*t^8.886)/y - t^4.418*y - t^6.489*y - t^6.603*y + t^7.255*y + t^7.582*y + t^7.695*y + t^7.794*y + 2*t^7.908*y + t^8.022*y + 3*t^8.234*y + 3*t^8.348*y + t^8.56*y + 2*t^8.674*y + 2*t^8.886*y | g1^14*t^2.071 + t^2.185/g1^20 + t^2.511/g1^12 + g1^30*t^2.723 + t^2.837/g1^4 + g1^4*t^3.163 + g1^12*t^3.489 + t^3.603/g1^22 + g1^20*t^3.815 + t^4.043/g1^48 + 2*g1^28*t^4.142 + (2*t^4.255)/g1^6 + t^4.369/g1^40 + g1^36*t^4.468 + g1^2*t^4.582 + t^4.695/g1^32 + g1^44*t^4.794 + 2*g1^10*t^4.908 + (2*t^5.022)/g1^24 + 2*g1^18*t^5.234 + (2*t^5.348)/g1^16 + g1^60*t^5.446 + 2*g1^26*t^5.56 + (3*t^5.674)/g1^8 + g1^34*t^5.886 + t^6.114/g1^34 + 2*g1^42*t^6.212 + t^6.228/g1^68 + 4*g1^8*t^6.326 + (2*t^6.44)/g1^26 + 2*g1^50*t^6.538 + (2*t^6.554)/g1^60 + 3*g1^16*t^6.652 + (2*t^6.766)/g1^18 + 2*g1^58*t^6.865 + (2*t^6.88)/g1^52 + 4*g1^24*t^6.978 + (2*t^7.092)/g1^10 + g1^66*t^7.191 + (2*t^7.206)/g1^44 + 3*g1^32*t^7.305 + t^7.418/g1^2 + g1^74*t^7.517 + (2*t^7.532)/g1^36 + 3*g1^40*t^7.631 + t^7.646/g1^70 + 4*g1^6*t^7.745 + (3*t^7.858)/g1^28 + 3*g1^48*t^7.957 + t^8.086/g1^96 + g1^90*t^8.169 + t^8.185/g1^20 + 4*g1^56*t^8.283 + t^8.299/g1^54 + 3*g1^22*t^8.397 + t^8.412/g1^88 + (3*t^8.511)/g1^12 + 3*g1^64*t^8.609 + (2*t^8.625)/g1^46 + 2*g1^30*t^8.723 + (2*t^8.739)/g1^80 + t^8.837/g1^4 + 3*g1^72*t^8.935 + (2*t^8.951)/g1^38 - t^4.418/(g1^2*y) - (g1^12*t^6.489)/y - t^6.603/(g1^22*y) + t^7.255/(g1^6*y) + (g1^2*t^7.582)/y + t^7.695/(g1^32*y) + (g1^44*t^7.794)/y + (2*g1^10*t^7.908)/y + t^8.022/(g1^24*y) + (3*g1^18*t^8.234)/y + (3*t^8.348)/(g1^16*y) + (g1^26*t^8.56)/y + (2*t^8.674)/(g1^8*y) + (2*g1^34*t^8.886)/y - (t^4.418*y)/g1^2 - g1^12*t^6.489*y - (t^6.603*y)/g1^22 + (t^7.255*y)/g1^6 + g1^2*t^7.582*y + (t^7.695*y)/g1^32 + g1^44*t^7.794*y + 2*g1^10*t^7.908*y + (t^8.022*y)/g1^24 + 3*g1^18*t^8.234*y + (3*t^8.348*y)/g1^16 + g1^26*t^8.56*y + (2*t^8.674*y)/g1^8 + 2*g1^34*t^8.886*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 |
|---|---|---|---|---|---|---|---|---|
| 3415 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ | 0.686 | 0.8701 | 0.7885 | [M:[0.8349, 1.055, 1.1651, 0.7248, 0.6926, 0.945], q:[0.4014, 0.7638], qb:[0.4335, 0.5114], phi:[0.4725]] | t^2.078 + t^2.174 + t^2.505 + t^2.738 + 2*t^2.835 + t^3.495 + t^3.592 + t^3.826 + t^4.019 + 2*t^4.156 + 2*t^4.252 + t^4.349 + t^4.486 + t^4.583 + t^4.679 + t^4.816 + 3*t^4.913 + 3*t^5.009 + t^5.243 + 2*t^5.34 + t^5.477 + 3*t^5.573 + 4*t^5.67 - t^6. - t^4.417/y - t^4.417*y | detail | |
| 3414 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6742 | 0.8508 | 0.7923 | [M:[0.8217, 1.0594, 1.1783, 0.7028, 0.708, 1.0543], q:[0.4134, 0.7649], qb:[0.4083, 0.5323], phi:[0.4703]] | t^2.109 + t^2.124 + t^2.465 + t^2.822 + t^3.163 + t^3.178 + t^3.519 + t^3.535 + t^3.86 + t^3.891 + t^4.217 + 2*t^4.233 + 2*t^4.248 + t^4.574 + t^4.589 + t^4.605 + 2*t^4.93 + t^4.946 + t^5.271 + 3*t^5.287 + t^5.302 + t^5.628 + 3*t^5.643 + t^5.659 + t^5.969 + 2*t^5.985 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1826 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6603 | 0.8216 | 0.8036 | [M:[0.8359, 1.0547, 1.1641, 0.7265], q:[0.4004, 0.7637], qb:[0.4354, 0.5099], phi:[0.4726]] | t^2.179 + t^2.508 + t^2.731 + t^2.836 + t^3.164 + t^3.492 + t^3.597 + t^3.821 + t^3.926 + t^4.03 + t^4.149 + t^4.254 + t^4.359 + t^4.477 + t^4.687 + t^4.91 + 2*t^5.015 + t^5.239 + 2*t^5.343 + t^5.462 + t^5.567 + 2*t^5.672 - t^4.418/y - t^4.418*y | detail |