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 |
|---|---|---|---|---|---|---|---|---|---|
| 46135 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.688 | 0.8541 | 0.8054 | [M:[1.1058, 0.7867, 0.6825, 1.0016], q:[0.4368, 0.4574], qb:[0.7765, 0.5411], phi:[0.4471]] | [M:[[0, 4], [1, 3], [0, -12], [-1, -11]], q:[[-1, -4], [1, 0]], qb:[[0, 1], [0, 11]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.047 + t^2.36 + t^2.682 + t^2.934 + t^3.005 + t^3.318 + t^3.701 + t^3.962 + t^4.024 + t^4.085 + t^4.095 + t^4.275 + t^4.336 + t^4.408 + t^4.588 + t^4.72 + t^4.73 + t^4.981 + t^5.043 + t^5.052 + t^5.294 + 3*t^5.365 + t^5.616 + t^5.678 + t^5.867 - 2*t^6. + 2*t^6.009 + t^6.071 + t^6.133 + t^6.142 - t^6.313 + 2*t^6.322 + 2*t^6.384 + t^6.446 + t^6.455 + 2*t^6.635 + t^6.645 + t^6.697 + t^6.706 + 2*t^6.768 + t^6.777 + t^6.896 + t^6.948 + t^6.967 + t^7.019 + t^7.028 + t^7.081 + t^7.09 + t^7.1 + t^7.208 + t^7.27 + t^7.403 + 3*t^7.412 + t^7.521 + t^7.664 + 3*t^7.725 + t^7.787 + t^7.924 + t^7.986 + t^8.038 + 2*t^8.057 + t^8.119 + t^8.171 + t^8.18 + t^8.19 + t^8.237 + t^8.299 - 3*t^8.36 + 3*t^8.37 + t^8.422 + t^8.431 + t^8.493 + t^8.503 + 2*t^8.55 - t^8.621 + t^8.692 + t^8.744 + t^8.754 + t^8.801 + t^8.806 + 2*t^8.815 + t^8.825 + t^8.862 + t^8.924 - 3*t^8.934 + t^8.943 - t^4.341/y - t^6.389/y - t^6.701/y + t^7.336/y - t^7.346/y + t^7.408/y + t^7.73/y + (2*t^7.981)/y + t^8.043/y + t^8.052/y + (2*t^8.294)/y + (2*t^8.365)/y - t^8.436/y + t^8.616/y + t^8.678/y + t^8.687/y + t^8.938/y - t^4.341*y - t^6.389*y - t^6.701*y + t^7.336*y - t^7.346*y + t^7.408*y + t^7.73*y + 2*t^7.981*y + t^8.043*y + t^8.052*y + 2*t^8.294*y + 2*t^8.365*y - t^8.436*y + t^8.616*y + t^8.678*y + t^8.687*y + t^8.938*y | t^2.047/g2^12 + g1*g2^3*t^2.36 + t^2.682/g2^4 + (g2^7*t^2.934)/g1 + t^3.005/(g1*g2^11) + g2^4*t^3.318 + g1*g2*t^3.701 + t^3.962/(g1^2*g2^10) + t^4.024/g2^6 + (g1^2*t^4.085)/g2^2 + t^4.095/g2^24 + (g2^5*t^4.275)/g1 + g1*g2^9*t^4.336 + (g1*t^4.408)/g2^9 + g2^20*t^4.588 + g1^2*g2^6*t^4.72 + t^4.73/g2^16 + t^4.981/(g1*g2^5) + (g1*t^5.043)/g2 + t^5.052/(g1*g2^23) + g2^10*t^5.294 + (3*t^5.365)/g2^8 + (g2^3*t^5.616)/g1 + g1*g2^7*t^5.678 + (g2^14*t^5.867)/g1^2 - 2*t^6. + (2*t^6.009)/(g1^2*g2^22) + t^6.071/g2^18 + (g1^2*t^6.133)/g2^14 + t^6.142/g2^36 - g1*g2^15*t^6.313 + (2*t^6.322)/(g1*g2^7) + (2*g1*t^6.384)/g2^3 + g1^3*g2*t^6.446 + (g1*t^6.455)/g2^21 + 2*g2^8*t^6.635 + t^6.645/(g1^2*g2^14) + g1^2*g2^12*t^6.697 + t^6.706/g2^10 + (2*g1^2*t^6.768)/g2^6 + t^6.777/g2^28 + t^6.896/(g1^3*g2^3) + g1*g2^23*t^6.948 + t^6.967/(g1^3*g2^21) + g1*g2^5*t^7.019 + t^7.028/(g1*g2^17) + g1^3*g2^9*t^7.081 + (g1*t^7.09)/g2^13 + t^7.1/(g1*g2^35) + (g2^12*t^7.208)/g1^2 + g2^16*t^7.27 + g1^2*g2^2*t^7.403 + (3*t^7.412)/g2^20 + (g2^27*t^7.521)/g1 + t^7.664/(g1*g2^9) + (3*g1*t^7.725)/g2^5 + (g1^3*t^7.787)/g2 + t^7.924/(g1^4*g2^20) + t^7.986/(g1^2*g2^16) + g1^2*g2^10*t^8.038 + (2*t^8.057)/(g1^2*g2^34) + t^8.119/g2^30 + (g1^4*t^8.171)/g2^4 + (g1^2*t^8.18)/g2^26 + t^8.19/g2^48 + t^8.237/(g1^3*g2^5) + t^8.299/(g1*g2) - 3*g1*g2^3*t^8.36 + (3*t^8.37)/(g1*g2^19) + g1^3*g2^7*t^8.422 + (g1*t^8.431)/g2^15 + (g1^3*t^8.493)/g2^11 + (g1*t^8.503)/g2^33 + (2*g2^10*t^8.55)/g1^2 - t^8.621/(g1^2*g2^8) + t^8.692/(g1^2*g2^26) + g1^2*t^8.744 + t^8.754/g2^22 + (g2^21*t^8.801)/g1^3 + g1^4*g2^4*t^8.806 + (2*g1^2*t^8.815)/g2^18 + t^8.825/g2^40 + (g2^25*t^8.862)/g1 + g1*g2^29*t^8.924 - (3*g2^7*t^8.934)/g1 + t^8.943/(g1^3*g2^15) - t^4.341/(g2^2*y) - t^6.389/(g2^14*y) - (g1*g2*t^6.701)/y + (g1*g2^9*t^7.336)/y - t^7.346/(g1*g2^13*y) + (g1*t^7.408)/(g2^9*y) + t^7.73/(g2^16*y) + (2*t^7.981)/(g1*g2^5*y) + (g1*t^8.043)/(g2*y) + t^8.052/(g1*g2^23*y) + (2*g2^10*t^8.294)/y + (2*t^8.365)/(g2^8*y) - t^8.436/(g2^26*y) + (g2^3*t^8.616)/(g1*y) + (g1*g2^7*t^8.678)/y + t^8.687/(g1*g2^15*y) + t^8.938/(g1^2*g2^4*y) - (t^4.341*y)/g2^2 - (t^6.389*y)/g2^14 - g1*g2*t^6.701*y + g1*g2^9*t^7.336*y - (t^7.346*y)/(g1*g2^13) + (g1*t^7.408*y)/g2^9 + (t^7.73*y)/g2^16 + (2*t^7.981*y)/(g1*g2^5) + (g1*t^8.043*y)/g2 + (t^8.052*y)/(g1*g2^23) + 2*g2^10*t^8.294*y + (2*t^8.365*y)/g2^8 - (t^8.436*y)/g2^26 + (g2^3*t^8.616*y)/g1 + g1*g2^7*t^8.678*y + (t^8.687*y)/(g1*g2^15) + (t^8.938*y)/(g1^2*g2^4) |
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 |
|---|---|---|---|---|---|---|---|---|
| 46544 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ | 0.6603 | 0.8216 | 0.8036 | [M:[1.0547, 0.7265, 0.8359, 1.1641], q:[0.5099, 0.4354], qb:[0.7637, 0.4004], 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 | |
| 46504 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.7088 | 0.8952 | 0.7917 | [M:[1.1055, 0.7845, 0.6835, 1.0045, 0.6745], q:[0.4391, 0.4554], qb:[0.7764, 0.5401], phi:[0.4473]] | t^2.024 + t^2.051 + t^2.354 + t^2.684 + t^2.938 + t^3.014 + t^3.316 + t^3.695 + t^4.025 + t^4.047 + 2*t^4.074 + t^4.101 + t^4.279 + t^4.328 + t^4.377 + t^4.404 + t^4.582 + 2*t^4.707 + t^4.734 + t^4.961 + t^4.988 + 2*t^5.037 + t^5.064 + t^5.291 + t^5.34 + 3*t^5.367 + t^5.621 + t^5.67 + t^5.719 + t^5.875 - 2*t^6. - t^4.342/y - t^4.342*y | detail | |
| 46567 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ | 0.644 | 0.7871 | 0.8182 | [X:[1.422], M:[1.1407, 0.711, 0.578, 1.0076], q:[0.5038, 0.3555], qb:[0.7852, 0.6369], phi:[0.4297]] | t^2.133 + t^2.578 + t^3.023 + 4*t^3.422 + t^3.867 + 3*t^4.266 + t^4.312 + 2*t^4.711 + t^5.11 + t^5.156 + 3*t^5.555 + t^6. - t^4.289/y - t^4.289*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45947 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.7145 | 0.8771 | 0.8147 | [M:[1.0672, 0.9328, 0.7984, 0.9328], q:[0.4664, 0.4664], qb:[0.6008, 0.6008], phi:[0.4664]] | t^2.395 + 3*t^2.798 + 3*t^3.202 + 3*t^4.198 + 4*t^4.601 + t^4.791 + 3*t^5.004 + 3*t^5.194 + 5*t^5.597 + t^6. - t^4.399/y - t^4.399*y | detail |