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 |
|---|---|---|---|---|---|---|---|---|---|
| 1945 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.563 | 0.6963 | 0.8086 | [X:[1.5736], M:[0.4264, 1.2792, 0.7208, 0.9848, 1.0152], q:[0.934, 0.6396], qb:[0.3452, 0.3756], phi:[0.4264]] | [X:[[2]], M:[[-2], [-6], [6], [-14], [14]], q:[[5], [-3]], qb:[[-11], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.162 + t^2.558 + t^2.954 + t^3.046 + t^3.35 + t^3.442 + t^3.533 + t^3.838 + t^3.929 + t^4.325 + 2*t^4.721 + 2*t^5.117 + t^5.208 + t^5.513 + t^5.604 + t^5.695 + t^5.909 + 2*t^6.091 + t^6.305 + t^6.396 + 2*t^6.487 + t^6.579 + t^6.701 + 2*t^6.883 + t^6.975 + t^7.066 + 2*t^7.279 + t^7.371 + t^7.462 + 2*t^7.675 + t^7.766 + 2*t^7.858 + t^8.071 - t^8.162 + 2*t^8.254 + t^8.467 - t^8.558 + 2*t^8.65 + t^8.741 + t^8.863 - 2*t^8.954 - t^4.279/y - t^6.838/y + (2*t^7.721)/y + t^8.117/y + t^8.208/y + (2*t^8.513)/y + (2*t^8.604)/y + t^8.695/y + t^8.909/y - t^4.279*y - t^6.838*y + 2*t^7.721*y + t^8.117*y + t^8.208*y + 2*t^8.513*y + 2*t^8.604*y + t^8.695*y + t^8.909*y | g1^6*t^2.162 + t^2.558/g1^4 + t^2.954/g1^14 + g1^14*t^3.046 + t^3.35/g1^24 + g1^4*t^3.442 + g1^32*t^3.533 + t^3.838/g1^6 + g1^22*t^3.929 + g1^12*t^4.325 + 2*g1^2*t^4.721 + (2*t^5.117)/g1^8 + g1^20*t^5.208 + t^5.513/g1^18 + g1^10*t^5.604 + g1^38*t^5.695 + t^5.909/g1^28 + 2*g1^28*t^6.091 + t^6.305/g1^38 + t^6.396/g1^10 + 2*g1^18*t^6.487 + g1^46*t^6.579 + t^6.701/g1^48 + 2*g1^8*t^6.883 + g1^36*t^6.975 + g1^64*t^7.066 + (2*t^7.279)/g1^2 + g1^26*t^7.371 + g1^54*t^7.462 + (2*t^7.675)/g1^12 + g1^16*t^7.766 + 2*g1^44*t^7.858 + t^8.071/g1^22 - g1^6*t^8.162 + 2*g1^34*t^8.254 + t^8.467/g1^32 - t^8.558/g1^4 + 2*g1^24*t^8.65 + g1^52*t^8.741 + t^8.863/g1^42 - (2*t^8.954)/g1^14 - t^4.279/(g1^2*y) - t^6.838/(g1^6*y) + (2*g1^2*t^7.721)/y + t^8.117/(g1^8*y) + (g1^20*t^8.208)/y + (2*t^8.513)/(g1^18*y) + (2*g1^10*t^8.604)/y + (g1^38*t^8.695)/y + t^8.909/(g1^28*y) - (t^4.279*y)/g1^2 - (t^6.838*y)/g1^6 + 2*g1^2*t^7.721*y + (t^8.117*y)/g1^8 + g1^20*t^8.208*y + (2*t^8.513*y)/g1^18 + 2*g1^10*t^8.604*y + g1^38*t^8.695*y + (t^8.909*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2983 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{6}$ | 0.5626 | 0.697 | 0.8071 | [X:[1.5707], M:[0.4293, 1.2878, 0.7122, 1.0049, 0.9951, 0.9951], q:[0.9268, 0.6439], qb:[0.361, 0.3512], phi:[0.4293]] | t^2.137 + t^2.576 + 2*t^2.985 + t^3.395 + t^3.424 + t^3.454 + t^3.834 + t^3.863 + t^4.273 + 2*t^4.712 + 2*t^5.122 + t^5.151 + t^5.532 + 2*t^5.561 + 4*t^5.971 - t^6. - t^4.288/y - t^4.288*y | detail | |
| 2985 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.576 | 0.7183 | 0.8019 | [X:[1.5743], M:[0.4257, 1.2772, 0.7228, 0.9801, 1.0199, 0.8515], q:[0.9357, 0.6386], qb:[0.3415, 0.3813], phi:[0.4257]] | t^2.168 + 2*t^2.554 + t^2.94 + t^3.06 + t^3.326 + t^3.565 + t^3.832 + t^3.951 + t^4.337 + 3*t^4.723 + 4*t^5.109 + t^5.228 + 2*t^5.495 + t^5.614 + t^5.733 + 2*t^5.881 - t^6. - t^4.277/y - t^4.277*y | detail | |
| 2984 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5754 | 0.7199 | 0.7992 | [X:[1.5698], M:[0.4302, 1.2905, 0.7095, 1.0111, 0.9889, 0.8382], q:[0.9246, 0.6452], qb:[0.3658, 0.3437], phi:[0.4302]] | t^2.129 + t^2.515 + t^2.581 + t^2.967 + t^3.033 + t^3.353 + t^3.419 + t^3.805 + t^3.871 + t^4.257 + t^4.643 + 2*t^4.71 + t^5.029 + 2*t^5.095 + 2*t^5.162 + 2*t^5.481 + 2*t^5.548 + t^5.867 + 3*t^5.934 - t^4.29/y - t^4.29*y | detail | |
| 2982 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.58 | 0.7267 | 0.7981 | [X:[1.577], M:[0.423, 1.2689, 0.7311, 0.9607, 1.0393, 0.7673], q:[0.9426, 0.6344], qb:[0.3263, 0.4049], phi:[0.423]] | t^2.193 + t^2.302 + t^2.538 + t^2.882 + t^3.118 + t^3.226 + t^3.462 + t^3.807 + t^4.042 + t^4.387 + t^4.495 + t^4.604 + 2*t^4.731 + t^4.84 + 2*t^5.075 + t^5.184 + t^5.311 + 2*t^5.42 + t^5.528 + t^5.656 + 2*t^5.764 - t^4.269/y - t^4.269*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 |
|---|---|---|---|---|---|---|---|---|---|
| 596 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ | 0.7026 | 0.8611 | 0.8159 | [M:[0.8739, 1.054, 0.946, 0.9819, 1.0181], q:[0.5991, 0.527], qb:[0.4549, 0.4911], phi:[0.482]] | t^2.622 + t^2.838 + t^2.892 + t^2.946 + t^3.054 + t^3.162 + t^3.271 + t^4.175 + t^4.284 + t^4.391 + t^4.393 + t^4.5 + 2*t^4.608 + t^4.717 + t^4.824 + t^5.041 + t^5.243 + t^5.46 + t^5.513 + t^5.676 + t^5.73 + t^5.784 + t^5.837 + t^5.892 + t^5.946 - 2*t^6. - t^4.446/y - t^4.446*y | detail |