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 |
|---|---|---|---|---|---|---|---|---|---|
| 5239 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.698 | 0.8855 | 0.7883 | [X:[1.354], M:[1.0, 0.823, 1.177, 0.646, 0.823, 0.7345, 1.0132, 0.708], q:[0.4181, 0.5819], qb:[0.4049, 0.7721], phi:[0.4557]] | [X:[[16]], M:[[0], [-8], [8], [-16], [-8], [-12], [-22], [32]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.124 + t^2.203 + 2*t^2.469 + t^2.734 + t^3. + t^3.04 + t^3.571 + t^3.836 + t^4.062 + t^4.248 + 2*t^4.328 + t^4.367 + t^4.407 + 2*t^4.593 + 2*t^4.672 + 2*t^4.859 + 4*t^4.938 + t^5.124 + t^5.164 + 3*t^5.203 + t^5.243 + 2*t^5.469 + t^5.509 + t^5.695 + t^5.734 + 2*t^5.774 - 2*t^6. + 3*t^6.04 + t^6.079 + t^6.186 + 2*t^6.305 + t^6.372 + 2*t^6.452 + 2*t^6.531 + 2*t^6.571 + 2*t^6.61 + 2*t^6.717 + 3*t^6.797 + t^6.836 + 2*t^6.876 + 2*t^6.983 + 5*t^7.062 + 4*t^7.141 + t^7.248 + t^7.288 + 4*t^7.328 + 7*t^7.407 + t^7.447 + 2*t^7.593 + t^7.633 + 5*t^7.672 + t^7.712 + t^7.819 + 2*t^7.898 + 4*t^7.938 + 3*t^7.978 - 2*t^8.124 + t^8.164 + 4*t^8.243 + t^8.283 + t^8.31 + t^8.429 - 4*t^8.469 + t^8.496 + 5*t^8.509 + t^8.548 + 2*t^8.576 + 2*t^8.655 - t^8.734 + 5*t^8.774 + 3*t^8.814 + 2*t^8.841 + 4*t^8.921 - 2*t^8.96 - t^4.367/y - t^6.491/y - t^6.571/y - t^6.836/y - t^7.102/y + (2*t^7.328)/y - t^7.407/y + (2*t^7.593)/y + t^7.633/y + (2*t^7.672)/y + t^7.859/y + t^7.898/y + (2*t^7.938)/y + t^8.124/y + (2*t^8.164)/y + (3*t^8.203)/y + (2*t^8.243)/y + (2*t^8.469)/y + (2*t^8.509)/y - t^8.615/y + t^8.734/y + t^8.774/y - t^4.367*y - t^6.491*y - t^6.571*y - t^6.836*y - t^7.102*y + 2*t^7.328*y - t^7.407*y + 2*t^7.593*y + t^7.633*y + 2*t^7.672*y + t^7.859*y + t^7.898*y + 2*t^7.938*y + t^8.124*y + 2*t^8.164*y + 3*t^8.203*y + 2*t^8.243*y + 2*t^8.469*y + 2*t^8.509*y - t^8.615*y + t^8.734*y + t^8.774*y | g1^32*t^2.124 + t^2.203/g1^12 + (2*t^2.469)/g1^8 + t^2.734/g1^4 + t^3. + t^3.04/g1^22 + t^3.571/g1^14 + t^3.836/g1^10 + g1^16*t^4.062 + g1^64*t^4.248 + 2*g1^20*t^4.328 + t^4.367/g1^2 + t^4.407/g1^24 + 2*g1^24*t^4.593 + (2*t^4.672)/g1^20 + 2*g1^28*t^4.859 + (4*t^4.938)/g1^16 + g1^32*t^5.124 + g1^10*t^5.164 + (3*t^5.203)/g1^12 + t^5.243/g1^34 + (2*t^5.469)/g1^8 + t^5.509/g1^30 + g1^18*t^5.695 + t^5.734/g1^4 + (2*t^5.774)/g1^26 - 2*t^6. + (3*t^6.04)/g1^22 + t^6.079/g1^44 + g1^48*t^6.186 + (2*t^6.305)/g1^18 + g1^96*t^6.372 + 2*g1^52*t^6.452 + 2*g1^8*t^6.531 + (2*t^6.571)/g1^14 + (2*t^6.61)/g1^36 + 2*g1^56*t^6.717 + 3*g1^12*t^6.797 + t^6.836/g1^10 + (2*t^6.876)/g1^32 + 2*g1^60*t^6.983 + 5*g1^16*t^7.062 + (4*t^7.141)/g1^28 + g1^64*t^7.248 + g1^42*t^7.288 + 4*g1^20*t^7.328 + (7*t^7.407)/g1^24 + t^7.447/g1^46 + 2*g1^24*t^7.593 + g1^2*t^7.633 + (5*t^7.672)/g1^20 + t^7.712/g1^42 + g1^50*t^7.819 + 2*g1^6*t^7.898 + (4*t^7.938)/g1^16 + (3*t^7.978)/g1^38 - 2*g1^32*t^8.124 + g1^10*t^8.164 + (4*t^8.243)/g1^34 + t^8.283/g1^56 + g1^80*t^8.31 + g1^14*t^8.429 - (4*t^8.469)/g1^8 + g1^128*t^8.496 + (5*t^8.509)/g1^30 + t^8.548/g1^52 + 2*g1^84*t^8.576 + 2*g1^40*t^8.655 - t^8.734/g1^4 + (5*t^8.774)/g1^26 + (3*t^8.814)/g1^48 + 2*g1^88*t^8.841 + 4*g1^44*t^8.921 - 2*g1^22*t^8.96 - t^4.367/(g1^2*y) - (g1^30*t^6.491)/y - t^6.571/(g1^14*y) - t^6.836/(g1^10*y) - t^7.102/(g1^6*y) + (2*g1^20*t^7.328)/y - t^7.407/(g1^24*y) + (2*g1^24*t^7.593)/y + (g1^2*t^7.633)/y + (2*t^7.672)/(g1^20*y) + (g1^28*t^7.859)/y + (g1^6*t^7.898)/y + (2*t^7.938)/(g1^16*y) + (g1^32*t^8.124)/y + (2*g1^10*t^8.164)/y + (3*t^8.203)/(g1^12*y) + (2*t^8.243)/(g1^34*y) + (2*t^8.469)/(g1^8*y) + (2*t^8.509)/(g1^30*y) - (g1^62*t^8.615)/y + t^8.734/(g1^4*y) + t^8.774/(g1^26*y) - (t^4.367*y)/g1^2 - g1^30*t^6.491*y - (t^6.571*y)/g1^14 - (t^6.836*y)/g1^10 - (t^7.102*y)/g1^6 + 2*g1^20*t^7.328*y - (t^7.407*y)/g1^24 + 2*g1^24*t^7.593*y + g1^2*t^7.633*y + (2*t^7.672*y)/g1^20 + g1^28*t^7.859*y + g1^6*t^7.898*y + (2*t^7.938*y)/g1^16 + g1^32*t^8.124*y + 2*g1^10*t^8.164*y + (3*t^8.203*y)/g1^12 + (2*t^8.243*y)/g1^34 + (2*t^8.469*y)/g1^8 + (2*t^8.509*y)/g1^30 - g1^62*t^8.615*y + (t^8.734*y)/g1^4 + (t^8.774*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6794 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{9}$ | 0.6831 | 0.8597 | 0.7945 | [X:[1.348], M:[1.0, 0.826, 1.174, 0.652, 0.826, 0.739, 1.0215, 0.696, 1.174], q:[0.4238, 0.5762], qb:[0.4022, 0.7717], phi:[0.4565]] | t^2.088 + t^2.217 + t^2.478 + t^2.739 + t^3. + t^3.065 + t^3.522 + t^3.587 + t^3.848 + t^4.044 + t^4.176 + 2*t^4.305 + t^4.37 + t^4.434 + t^4.566 + t^4.695 + 2*t^4.827 + 2*t^4.956 + t^5.088 + t^5.152 + 2*t^5.217 + t^5.282 + t^5.478 + t^5.61 + t^5.674 + 2*t^5.739 + 2*t^5.804 - t^6. - t^4.37/y - t^4.37*y | detail | |
| 6795 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6899 | 0.872 | 0.7912 | [X:[1.3502], M:[1.0, 0.8249, 1.1751, 0.6498, 0.8249, 0.7374, 1.0185, 0.7003, 1.0875], q:[0.4217, 0.5783], qb:[0.4032, 0.7719], phi:[0.4562]] | t^2.101 + t^2.212 + 2*t^2.475 + t^3. + t^3.056 + t^3.263 + t^3.581 + t^3.843 + t^4.05 + t^4.202 + 2*t^4.313 + t^4.369 + t^4.424 + 2*t^4.576 + 2*t^4.687 + t^4.838 + 3*t^4.95 + t^5.101 + t^5.157 + t^5.212 + t^5.268 + t^5.364 + 2*t^5.475 + t^5.53 + t^5.682 + 2*t^5.737 + t^5.793 - 2*t^6. - t^4.369/y - t^4.369*y | detail | |
| 6796 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.7142 | 0.9141 | 0.7813 | [X:[1.3447], M:[1.0, 0.8277, 1.1723, 0.6553, 0.8277, 0.7415, 1.026, 0.6894, 0.8016], q:[0.4268, 0.5732], qb:[0.4008, 0.7715], phi:[0.4569]] | t^2.068 + t^2.224 + t^2.405 + 2*t^2.483 + t^2.741 + t^3. + t^3.078 + t^3.854 + t^4.034 + t^4.136 + 2*t^4.293 + t^4.371 + t^4.449 + t^4.473 + 2*t^4.551 + t^4.629 + 2*t^4.707 + 3*t^4.81 + 2*t^4.888 + 4*t^4.966 + t^5.068 + 2*t^5.146 + 3*t^5.224 + t^5.303 + t^5.405 + 3*t^5.483 + t^5.561 + t^5.741 + t^5.82 - 2*t^6. - t^4.371/y - t^4.371*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3573 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ | 0.6779 | 0.8486 | 0.7988 | [X:[1.3658], M:[1.0, 0.8171, 1.1829, 0.6342, 0.8171, 0.7257, 0.9971], q:[0.4071, 0.5929], qb:[0.41, 0.7729], phi:[0.4543]] | t^2.177 + 2*t^2.451 + t^2.726 + t^2.991 + t^3. + t^3.54 + t^3.805 + t^3.814 + t^4.097 + t^4.354 + t^4.363 + t^4.372 + 2*t^4.628 + 4*t^4.903 + t^4.92 + t^5.168 + 3*t^5.177 + t^5.443 + 2*t^5.451 + 2*t^5.717 + t^5.726 + 2*t^5.982 + 3*t^5.991 - 2*t^6. - t^4.363/y - t^4.363*y | detail |