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 |
|---|---|---|---|---|---|---|---|---|---|
| 430 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6667 | 0.8151 | 0.8179 | [M:[1.0055, 1.1229, 0.9413, 0.7486], q:[0.7807, 0.4064], qb:[0.588, 0.4707], phi:[0.4385]] | [M:[[32], [-12], [22], [-8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$ | ${}$ | -1 | t^2.246 + t^2.631 + t^2.824 + t^3.017 + t^3.369 + t^3.561 + t^3.754 + t^3.947 + t^4.106 + t^4.14 + t^4.299 + 2*t^4.492 + t^4.844 + t^4.877 + t^5.07 + 2*t^5.262 + t^5.615 + t^5.648 + t^5.841 - t^6. + t^6.033 + t^6.193 + 3*t^6.385 + 2*t^6.578 + 2*t^6.738 + 2*t^6.771 + t^6.93 + t^6.963 + t^7.09 + 2*t^7.123 + t^7.156 + 2*t^7.316 + t^7.475 + 3*t^7.508 + t^7.668 + t^7.701 + 2*t^7.86 + 3*t^7.894 + t^8.053 + 2*t^8.086 + t^8.213 - t^8.246 + 2*t^8.279 + t^8.405 + t^8.472 + t^8.598 + t^8.631 + t^8.664 - 2*t^8.824 + t^8.857 + t^8.95 + 2*t^8.983 - t^4.316/y - t^6.561/y - t^7.14/y + t^7.299/y - t^7.332/y + t^7.492/y + t^7.877/y + (2*t^8.07)/y + t^8.262/y + t^8.455/y + t^8.615/y + t^8.648/y + t^8.841/y - t^4.316*y - t^6.561*y - t^7.14*y + t^7.299*y - t^7.332*y + t^7.492*y + t^7.877*y + 2*t^8.07*y + t^8.262*y + t^8.455*y + t^8.615*y + t^8.648*y + t^8.841*y | t^2.246/g1^8 + g1^12*t^2.631 + g1^22*t^2.824 + g1^32*t^3.017 + t^3.369/g1^12 + t^3.561/g1^2 + g1^8*t^3.754 + g1^18*t^3.947 + t^4.106/g1^36 + g1^28*t^4.14 + t^4.299/g1^26 + (2*t^4.492)/g1^16 + t^4.844/g1^60 + g1^4*t^4.877 + g1^14*t^5.07 + 2*g1^24*t^5.262 + t^5.615/g1^20 + g1^44*t^5.648 + g1^54*t^5.841 - t^6. + g1^64*t^6.033 + g1^10*t^6.193 + 3*g1^20*t^6.385 + 2*g1^30*t^6.578 + (2*t^6.738)/g1^24 + 2*g1^40*t^6.771 + t^6.93/g1^14 + g1^50*t^6.963 + t^7.09/g1^68 + (2*t^7.123)/g1^4 + g1^60*t^7.156 + 2*g1^6*t^7.316 + t^7.475/g1^48 + 3*g1^16*t^7.508 + t^7.668/g1^38 + g1^26*t^7.701 + (2*t^7.86)/g1^28 + 3*g1^36*t^7.894 + t^8.053/g1^18 + 2*g1^46*t^8.086 + t^8.213/g1^72 - t^8.246/g1^8 + 2*g1^56*t^8.279 + t^8.405/g1^62 + g1^66*t^8.472 + t^8.598/g1^52 + g1^12*t^8.631 + g1^76*t^8.664 - 2*g1^22*t^8.824 + g1^86*t^8.857 + t^8.95/g1^96 + (2*t^8.983)/g1^32 - (g1^6*t^4.316)/y - t^6.561/(g1^2*y) - (g1^28*t^7.14)/y + t^7.299/(g1^26*y) - (g1^38*t^7.332)/y + t^7.492/(g1^16*y) + (g1^4*t^7.877)/y + (2*g1^14*t^8.07)/y + (g1^24*t^8.262)/y + (g1^34*t^8.455)/y + t^8.615/(g1^20*y) + (g1^44*t^8.648)/y + (g1^54*t^8.841)/y - g1^6*t^4.316*y - (t^6.561*y)/g1^2 - g1^28*t^7.14*y + (t^7.299*y)/g1^26 - g1^38*t^7.332*y + (t^7.492*y)/g1^16 + g1^4*t^7.877*y + 2*g1^14*t^8.07*y + g1^24*t^8.262*y + g1^34*t^8.455*y + (t^8.615*y)/g1^20 + g1^44*t^8.648*y + g1^54*t^8.841*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 |
|---|---|---|---|---|---|---|---|---|
| 717 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.6658 | 0.8139 | 0.818 | [M:[1.037, 1.1111, 0.963, 0.7407], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | t^2.222 + t^2.667 + t^2.889 + t^3.111 + t^3.333 + t^3.556 + t^3.778 + 2*t^4. + 2*t^4.222 + 2*t^4.444 + t^4.667 + t^4.889 + t^5.111 + 2*t^5.333 + t^5.556 + t^5.778 - t^4.333/y - t^4.333*y | detail | {a: 1456/2187, c: 1780/2187, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
| 719 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ | 0.6695 | 0.8209 | 0.8156 | [M:[1.0544, 1.1046, 0.9749, 0.7364, 0.9456], q:[0.7762, 0.4079], qb:[0.5377, 0.4874], phi:[0.4477]] | t^2.209 + t^2.686 + t^2.837 + t^2.925 + t^3.314 + t^3.552 + t^3.791 + t^3.941 + t^4.029 + t^4.18 + t^4.268 + 2*t^4.418 + t^4.569 + t^4.895 + t^5.046 + t^5.134 + t^5.372 + 2*t^5.523 + t^5.674 + t^5.762 - t^6. - t^4.343/y - t^4.343*y | detail | |
| 718 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6858 | 0.8499 | 0.8069 | [M:[1.011, 1.1209, 0.945, 0.7473, 0.7473], q:[0.7802, 0.4066], qb:[0.5825, 0.4725], phi:[0.4396]] | 2*t^2.242 + t^2.637 + t^2.835 + t^3.033 + t^3.363 + t^3.56 + t^3.956 + t^4.088 + t^4.154 + t^4.286 + 4*t^4.484 + t^4.813 + 2*t^4.879 + 2*t^5.077 + 3*t^5.275 + 2*t^5.604 + t^5.67 + t^5.802 + t^5.868 - 2*t^6. - t^4.319/y - t^4.319*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 |
|---|---|---|---|---|---|---|---|---|---|
| 266 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6704 | 0.8232 | 0.8144 | [M:[0.9756, 1.1208, 0.9809, 0.6759], q:[0.7802, 0.4423], qb:[0.5821, 0.437], phi:[0.4396]] | t^2.028 + t^2.638 + t^2.927 + t^2.943 + t^3.362 + t^3.651 + t^3.667 + t^3.941 + t^3.957 + t^4.055 + t^4.087 + t^4.376 + t^4.392 + t^4.665 + t^4.811 + t^4.954 + t^4.97 + t^5.275 + t^5.39 + t^5.679 + t^5.695 + t^5.854 + t^5.87 + t^5.886 + t^5.968 - 2*t^6. - t^4.319/y - t^4.319*y | detail |