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 |
|---|---|---|---|---|---|---|---|---|---|
| 4566 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ | 0.5887 | 0.7531 | 0.7818 | [X:[1.3387], M:[1.1451, 0.7903, 1.2097, 0.7258, 1.2742, 0.6613, 0.8549, 0.7903], q:[0.4597, 0.3952], qb:[0.3306, 0.879], phi:[0.4839]] | [X:[[22]], M:[[-26], [10], [-10], [-6], [6], [-22], [26], [10]], q:[[21], [5]], qb:[[-11], [1]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }M_{8}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{8}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0 | t^2.177 + 2*t^2.371 + t^2.565 + t^2.903 + t^3.435 + t^3.629 + 3*t^3.823 + 2*t^4.016 + t^4.21 + t^4.548 + 3*t^4.742 + 2*t^4.936 + 2*t^5.081 + t^5.129 + 3*t^5.274 + 2*t^5.468 + t^5.806 + 4*t^6.194 + t^6.339 + 6*t^6.387 + 4*t^6.581 + 3*t^6.726 + t^6.774 + t^6.871 + t^6.919 + 3*t^7.113 + 2*t^7.307 + 2*t^7.452 + 2*t^7.5 + 8*t^7.645 + t^7.694 - t^7.79 + 8*t^7.839 + 6*t^8.032 - 3*t^8.177 + 2*t^8.226 - 6*t^8.371 + t^8.42 + t^8.516 - 2*t^8.565 + 6*t^8.758 + 8*t^8.952 - t^4.452/y - t^6.823/y - t^7.355/y + (3*t^7.548)/y + (2*t^7.742)/y + (2*t^7.936)/y + (2*t^8.081)/y + (2*t^8.274)/y + t^8.468/y + t^8.613/y + (3*t^8.806)/y - t^4.452*y - t^6.823*y - t^7.355*y + 3*t^7.548*y + 2*t^7.742*y + 2*t^7.936*y + 2*t^8.081*y + 2*t^8.274*y + t^8.468*y + t^8.613*y + 3*t^8.806*y | t^2.177/g1^6 + 2*g1^10*t^2.371 + g1^26*t^2.565 + t^2.903/g1^8 + t^3.435/g1^26 + t^3.629/g1^10 + 3*g1^6*t^3.823 + 2*g1^22*t^4.016 + g1^38*t^4.21 + g1^4*t^4.548 + 3*g1^20*t^4.742 + 2*g1^36*t^4.936 + (2*t^5.081)/g1^14 + g1^52*t^5.129 + 3*g1^2*t^5.274 + 2*g1^18*t^5.468 + t^5.806/g1^16 + 4*g1^16*t^6.194 + t^6.339/g1^34 + 6*g1^32*t^6.387 + 4*g1^48*t^6.581 + (3*t^6.726)/g1^2 + g1^64*t^6.774 + t^6.871/g1^52 + g1^14*t^6.919 + 3*g1^30*t^7.113 + 2*g1^46*t^7.307 + (2*t^7.452)/g1^4 + 2*g1^62*t^7.5 + 8*g1^12*t^7.645 + g1^78*t^7.694 - t^7.79/g1^38 + 8*g1^28*t^7.839 + 6*g1^44*t^8.032 - (3*t^8.177)/g1^6 + 2*g1^60*t^8.226 - 6*g1^10*t^8.371 + g1^76*t^8.42 + t^8.516/g1^40 - 2*g1^26*t^8.565 + 6*g1^42*t^8.758 + 8*g1^58*t^8.952 - t^4.452/(g1^4*y) - (g1^6*t^6.823)/y - t^7.355/(g1^12*y) + (3*g1^4*t^7.548)/y + (2*g1^20*t^7.742)/y + (2*g1^36*t^7.936)/y + (2*t^8.081)/(g1^14*y) + (2*g1^2*t^8.274)/y + (g1^18*t^8.468)/y + t^8.613/(g1^32*y) + (3*t^8.806)/(g1^16*y) - (t^4.452*y)/g1^4 - g1^6*t^6.823*y - (t^7.355*y)/g1^12 + 3*g1^4*t^7.548*y + 2*g1^20*t^7.742*y + 2*g1^36*t^7.936*y + (2*t^8.081*y)/g1^14 + 2*g1^2*t^8.274*y + g1^18*t^8.468*y + (t^8.613*y)/g1^32 + (3*t^8.806*y)/g1^16 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6066 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{7}M_{9}$ | 0.5779 | 0.7326 | 0.7888 | [X:[1.3805], M:[1.0958, 0.8093, 1.1907, 0.7144, 1.2856, 0.6195, 0.9042, 0.8093, 1.0958], q:[0.4995, 0.4047], qb:[0.3098, 0.8809], phi:[0.4763]] | t^2.143 + 2*t^2.428 + t^2.858 + 2*t^3.287 + t^3.572 + 3*t^3.857 + 2*t^4.141 + t^4.426 + t^4.571 + 2*t^4.856 + 2*t^5.001 + 3*t^5.286 + t^5.431 + t^5.57 + 3*t^5.715 - t^6. - t^4.429/y - t^4.429*y | detail | |
| 6063 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{7}^{2}$ | 0.5708 | 0.7246 | 0.7877 | [X:[1.4615], M:[1.0, 0.8462, 1.1538, 0.6923, 1.3077, 0.5385, 1.0, 0.8462], q:[0.5769, 0.4231], qb:[0.2692, 0.8846], phi:[0.4615]] | t^2.077 + 2*t^2.538 + t^2.769 + 2*t^3. + t^3.462 + 3*t^3.923 + 2*t^4.385 + t^4.615 + 3*t^4.846 + 3*t^5.077 + 3*t^5.308 + 3*t^5.538 + 3*t^5.769 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 1254/2197, c: 1592/2197, X1: 19/13, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 17/13, M6: 7/13, M7: 1, M8: 11/13, q1: 15/26, q2: 11/26, qb1: 7/26, qb2: 23/26, phi1: 6/13} |
| 6073 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6059 | 0.7845 | 0.7724 | [X:[1.3288], M:[1.1569, 0.7858, 1.2142, 0.7285, 1.2715, 0.6712, 0.8431, 0.7858, 0.7858], q:[0.4502, 0.3929], qb:[0.3356, 0.8786], phi:[0.4857]] | t^2.186 + 3*t^2.357 + t^2.529 + t^2.914 + t^3.471 + 3*t^3.814 + 2*t^3.986 + t^4.158 + 2*t^4.543 + 6*t^4.715 + 3*t^4.887 + t^5.058 + 2*t^5.1 + 4*t^5.271 + 2*t^5.443 + t^5.828 - 2*t^6. - t^4.457/y - t^4.457*y | detail | |
| 6070 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}X_{1}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.586 | 0.7497 | 0.7816 | [X:[1.3253], M:[1.1611, 0.7842, 1.2158, 0.7295, 1.2705, 0.6747, 0.8389, 0.7842, 1.0274], q:[0.4468, 0.3921], qb:[0.3374, 0.8784], phi:[0.4863]] | t^2.188 + 2*t^2.353 + t^2.517 + t^3.082 + t^3.483 + t^3.647 + 3*t^3.812 + 2*t^3.976 + t^4.14 + t^4.541 + 3*t^4.705 + 2*t^4.869 + t^5.034 + t^5.106 + 2*t^5.271 + 3*t^5.435 + t^5.599 - t^4.459/y - t^4.459*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2514 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ | 0.7304 | 0.9151 | 0.7981 | [M:[0.8825, 1.0292, 0.9708, 0.9408, 1.0592, 0.8525, 0.6696, 1.0292], q:[0.6029, 0.5146], qb:[0.4262, 0.5446], phi:[0.4779]] | t^2.009 + t^2.557 + t^2.648 + t^2.822 + t^2.867 + 2*t^3.087 + t^3.178 + t^4.018 + t^4.256 + t^4.346 + 2*t^4.521 + t^4.566 + t^4.611 + t^4.656 + t^4.701 + t^4.786 + t^4.831 + 2*t^4.876 + t^5.051 + 2*t^5.096 + t^5.115 + t^5.186 + t^5.205 + t^5.295 + t^5.38 + t^5.425 + t^5.515 + 2*t^5.645 + t^5.69 + 2*t^5.735 + t^5.91 + 2*t^5.955 - 3*t^6. - t^4.434/y - t^4.434*y | detail |