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 |
|---|---|---|---|---|---|---|---|---|---|
| 55078 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}^{2}$ | 0.7044 | 0.8644 | 0.815 | [M:[0.921, 1.0395, 1.0, 0.8816, 1.0395, 0.9605], q:[0.4605, 0.6184], qb:[0.5, 0.5], phi:[0.4803]] | [M:[[-4], [2], [0], [-6], [2], [-2]], q:[[-2], [6]], qb:[[0], [0]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$ | ${}M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | -2 | t^2.645 + t^2.763 + 2*t^2.882 + t^3. + t^3.118 + t^3.355 + t^4.204 + 2*t^4.322 + 3*t^4.441 + t^4.678 + 2*t^4.796 + t^5.151 + t^5.289 + t^5.408 + 2*t^5.526 + t^5.645 + 5*t^5.763 + t^5.882 - 2*t^6. + 2*t^6.237 - t^6.355 + t^6.711 + t^6.849 + 2*t^6.967 + 5*t^7.085 + 7*t^7.204 + 5*t^7.322 + t^7.441 + t^7.559 + 2*t^7.678 + 2*t^7.796 + t^7.934 + t^8.033 + t^8.053 + 2*t^8.151 + 2*t^8.171 + 2*t^8.289 + 4*t^8.408 + t^8.507 + 3*t^8.526 + 5*t^8.645 - t^8.763 - t^4.441/y - t^7.085/y - t^7.204/y + t^7.678/y + t^7.796/y + t^8.408/y + (2*t^8.526)/y + (3*t^8.645)/y + (3*t^8.763)/y + (3*t^8.882)/y - t^4.441*y - t^7.085*y - t^7.204*y + t^7.678*y + t^7.796*y + t^8.408*y + 2*t^8.526*y + 3*t^8.645*y + 3*t^8.763*y + 3*t^8.882*y | t^2.645/g1^6 + t^2.763/g1^4 + (2*t^2.882)/g1^2 + t^3. + g1^2*t^3.118 + g1^6*t^3.355 + t^4.204/g1^5 + (2*t^4.322)/g1^3 + (3*t^4.441)/g1 + g1^3*t^4.678 + 2*g1^5*t^4.796 + g1^11*t^5.151 + t^5.289/g1^12 + t^5.408/g1^10 + (2*t^5.526)/g1^8 + t^5.645/g1^6 + (5*t^5.763)/g1^4 + t^5.882/g1^2 - 2*t^6. + 2*g1^4*t^6.237 - g1^6*t^6.355 + g1^12*t^6.711 + t^6.849/g1^11 + (2*t^6.967)/g1^9 + (5*t^7.085)/g1^7 + (7*t^7.204)/g1^5 + (5*t^7.322)/g1^3 + t^7.441/g1 + g1*t^7.559 + 2*g1^3*t^7.678 + 2*g1^5*t^7.796 + t^7.934/g1^18 + g1^9*t^8.033 + t^8.053/g1^16 + 2*g1^11*t^8.151 + (2*t^8.171)/g1^14 + (2*t^8.289)/g1^12 + (4*t^8.408)/g1^10 + g1^17*t^8.507 + (3*t^8.526)/g1^8 + (5*t^8.645)/g1^6 - t^8.763/g1^4 - t^4.441/(g1*y) - t^7.085/(g1^7*y) - t^7.204/(g1^5*y) + (g1^3*t^7.678)/y + (g1^5*t^7.796)/y + t^8.408/(g1^10*y) + (2*t^8.526)/(g1^8*y) + (3*t^8.645)/(g1^6*y) + (3*t^8.763)/(g1^4*y) + (3*t^8.882)/(g1^2*y) - (t^4.441*y)/g1 - (t^7.085*y)/g1^7 - (t^7.204*y)/g1^5 + g1^3*t^7.678*y + g1^5*t^7.796*y + (t^8.408*y)/g1^10 + (2*t^8.526*y)/g1^8 + (3*t^8.645*y)/g1^6 + (3*t^8.763*y)/g1^4 + (3*t^8.882*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56633 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{2}M_{7}$ | 0.7084 | 0.8717 | 0.8127 | [M:[0.9097, 1.0451, 1.0, 0.8646, 1.0451, 0.9549, 0.9549], q:[0.4549, 0.6354], qb:[0.5, 0.5], phi:[0.4774]] | t^2.594 + t^2.729 + 3*t^2.865 + t^3. + t^3.406 + t^4.161 + 2*t^4.297 + 3*t^4.432 + t^4.703 + 2*t^4.839 + t^5.187 + t^5.245 + t^5.323 + 3*t^5.458 + 2*t^5.594 + 7*t^5.729 + t^5.865 - 4*t^6. - t^4.432/y - t^4.432*y | detail | |
| 56631 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{4}M_{7}$ | 0.6958 | 0.8499 | 0.8187 | [M:[0.9535, 1.0233, 1.0, 0.9302, 1.0233, 0.9767, 1.0698], q:[0.4767, 0.5698], qb:[0.5, 0.5], phi:[0.4884]] | t^2.86 + 2*t^2.93 + t^3. + t^3.07 + 2*t^3.209 + t^4.326 + 2*t^4.395 + 3*t^4.465 + t^4.605 + 2*t^4.674 + t^4.884 + 4*t^5.86 + t^5.93 - 3*t^6. - t^4.465/y - t^4.465*y | detail | |
| 56632 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{6}M_{7}$ | 0.701 | 0.8583 | 0.8167 | [M:[0.9324, 1.0338, 1.0, 0.8985, 1.0338, 0.9662, 1.0338], q:[0.4662, 0.6015], qb:[0.5, 0.5], phi:[0.4831]] | t^2.696 + t^2.797 + t^2.899 + t^3. + 2*t^3.101 + t^3.304 + t^4.246 + 2*t^4.348 + 3*t^4.449 + t^4.652 + 2*t^4.754 + t^5.058 + t^5.391 + t^5.493 + t^5.594 + 4*t^5.797 + t^5.899 - 2*t^6. - t^4.449/y - t^4.449*y | detail | |
| 56634 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7167 | 0.8879 | 0.8072 | [M:[0.8941, 1.053, 1.0, 0.8411, 1.053, 0.947, 0.8411], q:[0.447, 0.6589], qb:[0.5, 0.5], phi:[0.4735]] | 2*t^2.523 + t^2.682 + 2*t^2.841 + t^3. + t^3.159 + t^4.103 + 2*t^4.262 + 3*t^4.421 + t^4.738 + 2*t^4.897 + 3*t^5.047 + 2*t^5.206 + 4*t^5.365 + t^5.374 + 2*t^5.523 + 6*t^5.682 + t^5.841 - 3*t^6. - t^4.421/y - t^4.421*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46804 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ | 0.7055 | 0.8657 | 0.8149 | [M:[0.951, 1.0421, 0.9647, 0.8736, 1.0421, 0.9579], q:[0.4402, 0.6088], qb:[0.5177, 0.5177], phi:[0.4789]] | t^2.621 + t^2.853 + 2*t^2.874 + t^2.894 + t^3.126 + t^3.379 + t^4.078 + 2*t^4.31 + 3*t^4.543 + t^4.584 + 2*t^4.816 + t^5.089 + t^5.241 + t^5.474 + t^5.494 + t^5.515 + t^5.706 + 5*t^5.747 + t^5.788 + t^5.98 - 3*t^6. - t^4.437/y - t^4.437*y | detail |