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 |
|---|---|---|---|---|---|---|---|---|---|
| 601 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ | 0.7222 | 0.8878 | 0.8134 | [M:[0.8228, 1.0, 0.8046, 1.0182, 0.9818], q:[0.6772, 0.5], qb:[0.5182, 0.4818], phi:[0.4557]] | [M:[[-4, 0], [0, 0], [-4, 1], [0, -1], [0, 1]], q:[[4, 0], [0, 0]], qb:[[0, -1], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.414 + t^2.468 + t^2.734 + t^2.945 + t^3. + t^3.055 + t^3.477 + t^4.258 + t^4.312 + 2*t^4.367 + t^4.422 + t^4.477 + t^4.828 + t^4.844 + t^4.882 + t^4.899 + t^4.937 + t^4.953 + t^5.148 + t^5.203 + t^5.359 + t^5.414 + t^5.43 + 2*t^5.468 + t^5.68 + t^5.734 + t^5.789 + t^5.891 - 2*t^6. - t^6.055 + t^6.211 + t^6.422 - t^6.532 - t^6.586 + t^6.672 + 2*t^6.726 + 2*t^6.781 + 2*t^6.836 + t^6.89 + t^6.945 + t^6.954 + t^6.992 + t^7.047 + 2*t^7.101 + t^7.156 + t^7.203 + t^7.211 + t^7.241 + 2*t^7.258 + t^7.296 + 3*t^7.312 + t^7.351 + 2*t^7.367 + t^7.405 + 2*t^7.422 + t^7.477 - t^7.523 + t^7.531 + t^7.562 + t^7.616 - t^7.633 + t^7.671 + t^7.735 - t^7.742 + t^7.773 + t^7.789 + t^7.828 + 2*t^7.844 + 2*t^7.882 + t^7.899 + 2*t^7.937 + t^8.093 - t^8.11 + t^8.148 + 2*t^8.203 - t^8.219 + t^8.304 + t^8.321 - t^8.359 + t^8.375 - 2*t^8.414 + t^8.43 - 3*t^8.468 + t^8.515 - t^8.523 + t^8.57 - t^8.578 + 3*t^8.625 + 2*t^8.68 - t^8.696 + t^8.734 + t^8.789 + t^8.836 + 2*t^8.844 - t^8.891 + t^8.898 + t^8.907 - 4*t^8.945 + t^8.953 - t^4.367/y - t^6.781/y - t^6.836/y - t^7.101/y + t^7.633/y + t^7.882/y + t^7.899/y + t^7.953/y + t^8.148/y + t^8.203/y + t^8.359/y + (2*t^8.414)/y + (2*t^8.468)/y + t^8.523/y + t^8.68/y + t^8.734/y + t^8.789/y + t^8.891/y + (2*t^8.945)/y - t^4.367*y - t^6.781*y - t^6.836*y - t^7.101*y + t^7.633*y + t^7.882*y + t^7.899*y + t^7.953*y + t^8.148*y + t^8.203*y + t^8.359*y + 2*t^8.414*y + 2*t^8.468*y + t^8.523*y + t^8.68*y + t^8.734*y + t^8.789*y + t^8.891*y + 2*t^8.945*y | (g2*t^2.414)/g1^4 + t^2.468/g1^4 + t^2.734/g1^2 + g2*t^2.945 + t^3. + t^3.055/g2 + g1^4*g2*t^3.477 + (g2^2*t^4.258)/g1 + (g2*t^4.312)/g1 + (2*t^4.367)/g1 + t^4.422/(g1*g2) + t^4.477/(g1*g2^2) + (g2^2*t^4.828)/g1^8 + g1^3*g2*t^4.844 + (g2*t^4.882)/g1^8 + g1^3*t^4.899 + t^4.937/g1^8 + (g1^3*t^4.953)/g2 + (g2*t^5.148)/g1^6 + t^5.203/g1^6 + (g2^2*t^5.359)/g1^4 + (g2*t^5.414)/g1^4 + g1^7*t^5.43 + (2*t^5.468)/g1^4 + (g2*t^5.68)/g1^2 + t^5.734/g1^2 + t^5.789/(g1^2*g2) + g2^2*t^5.891 - 2*t^6. - t^6.055/g2 + g1^2*g2*t^6.211 + g1^4*g2^2*t^6.422 - g1^4*t^6.532 - (g1^4*t^6.586)/g2 + (g2^3*t^6.672)/g1^5 + (2*g2^2*t^6.726)/g1^5 + (2*g2*t^6.781)/g1^5 + (2*t^6.836)/g1^5 + t^6.89/(g1^5*g2) + t^6.945/(g1^5*g2^2) + g1^8*g2^2*t^6.954 + (g2^2*t^6.992)/g1^3 + (g2*t^7.047)/g1^3 + (2*t^7.101)/g1^3 + t^7.156/(g1^3*g2) + (g2^3*t^7.203)/g1 + t^7.211/(g1^3*g2^2) + (g2^3*t^7.241)/g1^12 + (2*g2^2*t^7.258)/g1 + (g2^2*t^7.296)/g1^12 + (3*g2*t^7.312)/g1 + (g2*t^7.351)/g1^12 + (2*t^7.367)/g1 + t^7.405/g1^12 + (2*t^7.422)/(g1*g2) + t^7.477/(g1*g2^2) - g1*g2^2*t^7.523 + t^7.531/(g1*g2^3) + (g2^2*t^7.562)/g1^10 + (g2*t^7.616)/g1^10 - g1*t^7.633 + t^7.671/g1^10 + g1^3*g2^3*t^7.735 - (g1*t^7.742)/g2^2 + (g2^3*t^7.773)/g1^8 + g1^3*g2^2*t^7.789 + (g2^2*t^7.828)/g1^8 + 2*g1^3*g2*t^7.844 + (2*g2*t^7.882)/g1^8 + g1^3*t^7.899 + (2*t^7.937)/g1^8 + (g2^2*t^8.093)/g1^6 - g1^5*g2*t^8.11 + (g2*t^8.148)/g1^6 + (2*t^8.203)/g1^6 - (g1^5*t^8.219)/g2 + (g2^3*t^8.304)/g1^4 + g1^7*g2^2*t^8.321 - (g2^2*t^8.359)/g1^4 + g1^7*g2*t^8.375 - (2*g2*t^8.414)/g1^4 + g1^7*t^8.43 - (3*t^8.468)/g1^4 + (g2^4*t^8.515)/g1^2 - t^8.523/(g1^4*g2) + (g2^3*t^8.57)/g1^2 - t^8.578/(g1^4*g2^2) + (3*g2^2*t^8.625)/g1^2 + (2*g2*t^8.68)/g1^2 - g1^9*t^8.696 + t^8.734/g1^2 + t^8.789/(g1^2*g2) + g2^3*t^8.836 + (2*t^8.844)/(g1^2*g2^2) - g2^2*t^8.891 + t^8.898/(g1^2*g2^3) + g1^11*g2*t^8.907 - 4*g2*t^8.945 + t^8.953/(g1^2*g2^4) - t^4.367/(g1*y) - (g2*t^6.781)/(g1^5*y) - t^6.836/(g1^5*y) - t^7.101/(g1^3*y) + (g1*t^7.633)/y + (g2*t^7.882)/(g1^8*y) + (g1^3*t^7.899)/y + (g1^3*t^7.953)/(g2*y) + (g2*t^8.148)/(g1^6*y) + t^8.203/(g1^6*y) + (g2^2*t^8.359)/(g1^4*y) + (2*g2*t^8.414)/(g1^4*y) + (2*t^8.468)/(g1^4*y) + t^8.523/(g1^4*g2*y) + (g2*t^8.68)/(g1^2*y) + t^8.734/(g1^2*y) + t^8.789/(g1^2*g2*y) + (g2^2*t^8.891)/y + (2*g2*t^8.945)/y - (t^4.367*y)/g1 - (g2*t^6.781*y)/g1^5 - (t^6.836*y)/g1^5 - (t^7.101*y)/g1^3 + g1*t^7.633*y + (g2*t^7.882*y)/g1^8 + g1^3*t^7.899*y + (g1^3*t^7.953*y)/g2 + (g2*t^8.148*y)/g1^6 + (t^8.203*y)/g1^6 + (g2^2*t^8.359*y)/g1^4 + (2*g2*t^8.414*y)/g1^4 + (2*t^8.468*y)/g1^4 + (t^8.523*y)/(g1^4*g2) + (g2*t^8.68*y)/g1^2 + (t^8.734*y)/g1^2 + (t^8.789*y)/(g1^2*g2) + g2^2*t^8.891*y + 2*g2*t^8.945*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 |
|---|---|---|---|---|---|---|---|---|
| 966 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{3}$ | 0.6921 | 0.8476 | 0.8165 | [M:[0.9904, 1.0, 1.0096, 0.9809, 1.0191], q:[0.5096, 0.5], qb:[0.4809, 0.5191], phi:[0.4976]] | t^2.943 + t^2.971 + t^2.986 + t^3. + t^3.029 + t^3.057 + t^3.086 + t^4.378 + t^4.436 + t^4.464 + 2*t^4.493 + t^4.521 + 2*t^4.55 + t^4.579 + t^4.607 + t^5.928 + t^5.957 + t^5.971 + t^5.986 - t^6. - t^4.493/y - t^4.493*y | detail | |
| 965 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{3}M_{6}$ | 0.7077 | 0.8618 | 0.8212 | [M:[0.8615, 1.0, 0.8615, 1.0, 1.0, 1.1385], q:[0.6385, 0.5], qb:[0.5, 0.5], phi:[0.4654]] | t^2.584 + t^2.792 + 3*t^3. + 2*t^3.416 + 6*t^4.396 + 3*t^4.812 + t^5.169 + t^5.227 + t^5.377 + t^5.584 + 3*t^5.792 - 2*t^6. - t^4.396/y - t^4.396*y | detail | |
| 967 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6934 | 0.8487 | 0.817 | [M:[0.9795, 1.0, 1.0103, 0.9692, 1.0308], q:[0.5205, 0.5], qb:[0.4692, 0.5308], phi:[0.4949]] | t^2.908 + t^2.938 + t^2.969 + t^3. + t^3.031 + t^3.092 + t^3.154 + t^4.3 + t^4.392 + t^4.454 + 2*t^4.485 + t^4.546 + t^4.577 + t^4.608 + t^4.639 + t^4.669 + 2*t^5.877 + 2*t^5.938 + t^5.969 - t^6. - t^4.485/y - t^4.485*y | detail | |
| 964 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{6}$ | 0.7216 | 0.8864 | 0.8141 | [M:[0.8185, 1.0, 0.8261, 0.9925, 1.0075, 0.9925], q:[0.6815, 0.5], qb:[0.4925, 0.5075], phi:[0.4546]] | t^2.456 + t^2.478 + t^2.728 + 2*t^2.977 + t^3. + t^3.567 + t^4.319 + t^4.341 + 2*t^4.364 + t^4.387 + t^4.409 + t^4.886 + t^4.908 + t^4.911 + t^4.931 + t^4.934 + t^4.956 + t^5.183 + t^5.206 + t^5.433 + t^5.453 + 3*t^5.456 + 2*t^5.705 + t^5.728 + 2*t^5.955 - 3*t^6. - t^4.364/y - t^4.364*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 |
|---|---|---|---|---|---|---|---|---|---|
| 371 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ | 0.7297 | 0.8972 | 0.8133 | [M:[0.8794, 0.9008, 0.7647, 1.0155, 0.9845], q:[0.6702, 0.4504], qb:[0.5651, 0.5341], phi:[0.445]] | t^2.294 + t^2.638 + t^2.67 + t^2.702 + t^2.954 + t^3.046 + t^3.613 + t^4.037 + t^4.289 + t^4.382 + t^4.54 + t^4.588 + t^4.633 + t^4.697 + t^4.726 + t^4.932 + t^4.948 + t^4.964 + t^4.996 + t^5.041 + t^5.248 + t^5.277 + t^5.309 + 2*t^5.341 + t^5.356 + t^5.373 + t^5.405 + t^5.624 + t^5.717 + t^5.907 - 3*t^6. - t^4.335/y - t^4.335*y | detail |