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 |
|---|---|---|---|---|---|---|---|---|---|
| 338 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ | 0.7184 | 0.8775 | 0.8187 | [M:[0.8179, 1.091, 1.0, 0.8179, 1.0], q:[0.6411, 0.541], qb:[0.541, 0.459], phi:[0.4545]] | [M:[[-4, 1, 8], [2, 0, -2], [0, -1, -4], [-4, -1, 0], [0, 1, 4]], q:[[4, 0, 0], [0, -1, -8]], qb:[[0, 1, 0], [0, 0, 4]], phi:[[-1, 0, 1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{2}$ | ${}M_{3}^{2}$, ${ }M_{5}^{2}$ | -3 | 2*t^2.454 + 2*t^3. + t^3.246 + t^3.273 + t^3.3 + t^4.118 + 2*t^4.363 + 3*t^4.609 + t^4.664 + 3*t^4.907 + 2*t^4.91 + t^5.21 + 3*t^5.454 + 2*t^5.727 - 3*t^6. + 2*t^6.273 + t^6.492 + t^6.519 + 2*t^6.571 + t^6.574 + t^6.601 + 3*t^6.817 + 4*t^7.063 + 2*t^7.118 + 4*t^7.361 + 3*t^7.363 + t^7.418 + 4*t^7.609 + 2*t^7.664 + 3*t^7.855 + 4*t^7.907 + 2*t^7.91 + t^7.964 + 3*t^8.181 - t^8.208 + 2*t^8.21 + t^8.235 - 6*t^8.454 + 2*t^8.481 + t^8.511 - 3*t^8.7 + 6*t^8.727 - 2*t^8.754 + t^8.782 + 4*t^8.973 - t^4.363/y - (2*t^6.817)/y + t^7.907/y + (2*t^7.91)/y + (4*t^8.454)/y + (2*t^8.7)/y + (2*t^8.727)/y + (2*t^8.754)/y - t^4.363*y - 2*t^6.817*y + t^7.907*y + 2*t^7.91*y + 4*t^8.454*y + 2*t^8.7*y + 2*t^8.727*y + 2*t^8.754*y | t^2.454/(g1^4*g2) + (g2*g3^8*t^2.454)/g1^4 + t^3./(g2*g3^4) + g2*g3^4*t^3. + t^3.246/g3^8 + (g1^2*t^3.273)/g3^2 + g1^4*g3^4*t^3.3 + (g3^9*t^4.118)/g1 + t^4.363/(g1*g2*g3^3) + (g2*g3^5*t^4.363)/g1 + t^4.609/(g1*g2^2*g3^15) + t^4.609/(g1*g3^7) + (g2^2*g3*t^4.609)/g1 + g1^3*g3^5*t^4.664 + t^4.907/(g1^8*g2^2) + (g3^8*t^4.907)/g1^8 + (g2^2*g3^16*t^4.907)/g1^8 + (g1^3*t^4.91)/(g2*g3^7) + g1^3*g2*g3*t^4.91 + g1^7*g3*t^5.21 + t^5.454/(g1^4*g2^2*g3^4) + (g3^4*t^5.454)/g1^4 + (g2^2*g3^12*t^5.454)/g1^4 + t^5.727/(g1^2*g2*g3^2) + (g2*g3^6*t^5.727)/g1^2 - 3*t^6. + (g1^2*t^6.273)/(g2*g3^6) + g1^2*g2*g3^2*t^6.273 + t^6.492/g3^16 + (g1^2*t^6.519)/g3^10 + (g3^9*t^6.571)/(g1^5*g2) + (g2*g3^17*t^6.571)/g1^5 + g1^6*g3^2*t^6.574 + g1^8*g3^8*t^6.601 + t^6.817/(g1^5*g2^2*g3^3) + (g3^5*t^6.817)/g1^5 + (g2^2*g3^13*t^6.817)/g1^5 + t^7.063/(g1^5*g2^3*g3^15) + t^7.063/(g1^5*g2*g3^7) + (g2*g3*t^7.063)/g1^5 + (g2^3*g3^9*t^7.063)/g1^5 + (g3^5*t^7.118)/(g1*g2) + (g2*g3^13*t^7.118)/g1 + t^7.361/(g1^12*g2^3) + (g3^8*t^7.361)/(g1^12*g2) + (g2*g3^16*t^7.361)/g1^12 + (g2^3*g3^24*t^7.361)/g1^12 + t^7.363/(g1*g2^2*g3^7) + (g3*t^7.363)/g1 + (g2^2*g3^9*t^7.363)/g1 + g1^3*g3^13*t^7.418 + t^7.609/(g1*g2^3*g3^19) + t^7.609/(g1*g2*g3^11) + (g2*t^7.609)/(g1*g3^3) + (g2^3*g3^5*t^7.609)/g1 + (g1^3*g3*t^7.664)/g2 + g1^3*g2*g3^9*t^7.664 + t^7.855/(g1*g2^2*g3^23) + t^7.855/(g1*g3^15) + (g2^2*t^7.855)/(g1*g3^7) + t^7.907/(g1^8*g2^3*g3^4) + (g3^4*t^7.907)/(g1^8*g2) + (g2*g3^12*t^7.907)/g1^8 + (g2^3*g3^20*t^7.907)/g1^8 + (g1^3*t^7.91)/(g2^2*g3^11) + g1^3*g2^2*g3^5*t^7.91 + g1^7*g3^9*t^7.964 + t^8.181/(g1^6*g2^2*g3^2) + (g3^6*t^8.181)/g1^6 + (g2^2*g3^14*t^8.181)/g1^6 - (g3^12*t^8.208)/g1^4 + (g1^7*t^8.21)/(g2*g3^3) + g1^7*g2*g3^5*t^8.21 + (g3^18*t^8.235)/g1^2 - (3*t^8.454)/(g1^4*g2) - (3*g2*g3^8*t^8.454)/g1^4 + (g3^6*t^8.481)/(g1^2*g2) + (g2*g3^14*t^8.481)/g1^2 + g1^11*g3^5*t^8.511 - t^8.7/(g1^4*g2^2*g3^12) - t^8.7/(g1^4*g3^4) - (g2^2*g3^4*t^8.7)/g1^4 + (2*t^8.727)/(g1^2*g2^2*g3^6) + (2*g3^2*t^8.727)/g1^2 + (2*g2^2*g3^10*t^8.727)/g1^2 - 2*g3^8*t^8.754 + g1^2*g3^14*t^8.782 + t^8.973/(g1^2*g2^3*g3^18) + t^8.973/(g1^2*g2*g3^10) + (g2*t^8.973)/(g1^2*g3^2) + (g2^3*g3^6*t^8.973)/g1^2 - (g3*t^4.363)/(g1*y) - (g3*t^6.817)/(g1^5*g2*y) - (g2*g3^9*t^6.817)/(g1^5*y) + (g3^8*t^7.907)/(g1^8*y) + (g1^3*t^7.91)/(g2*g3^7*y) + (g1^3*g2*g3*t^7.91)/y + t^8.454/(g1^4*g2^2*g3^4*y) + (2*g3^4*t^8.454)/(g1^4*y) + (g2^2*g3^12*t^8.454)/(g1^4*y) + (g2*t^8.7)/(g1^4*y) + t^8.7/(g1^4*g2*g3^8*y) + t^8.727/(g1^2*g2*g3^2*y) + (g2*g3^6*t^8.727)/(g1^2*y) + (g3^4*t^8.754)/(g2*y) + (g2*g3^12*t^8.754)/y - (g3*t^4.363*y)/g1 - (g3*t^6.817*y)/(g1^5*g2) - (g2*g3^9*t^6.817*y)/g1^5 + (g3^8*t^7.907*y)/g1^8 + (g1^3*t^7.91*y)/(g2*g3^7) + g1^3*g2*g3*t^7.91*y + (t^8.454*y)/(g1^4*g2^2*g3^4) + (2*g3^4*t^8.454*y)/g1^4 + (g2^2*g3^12*t^8.454*y)/g1^4 + (g2*t^8.7*y)/g1^4 + (t^8.7*y)/(g1^4*g2*g3^8) + (t^8.727*y)/(g1^2*g2*g3^2) + (g2*g3^6*t^8.727*y)/g1^2 + (g3^4*t^8.754*y)/g2 + g2*g3^12*t^8.754*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 |
|---|---|---|---|---|---|---|---|---|
| 533 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{6}$ | 0.7195 | 0.8802 | 0.8175 | [M:[0.7932, 1.0909, 1.0251, 0.8434, 0.9749, 0.9749], q:[0.6405, 0.5664], qb:[0.5161, 0.4588], phi:[0.4546]] | t^2.379 + t^2.53 + 2*t^2.925 + t^3.247 + t^3.273 + t^3.298 + t^4.116 + t^4.288 + t^4.439 + t^4.46 + t^4.611 + t^4.661 + t^4.759 + t^4.762 + t^4.833 + t^4.91 + t^4.984 + t^5.06 + t^5.207 + 2*t^5.304 + t^5.455 + t^5.652 + t^5.803 + 2*t^5.849 - 4*t^6. - t^4.364/y - t^4.364*y | detail | |
| 1803 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.603 | 0.728 | 0.8283 | [X:[1.6146], M:[0.3854, 1.2291, 1.1563, 0.698, 0.8437], q:[0.8619, 0.7526], qb:[0.4401, 0.4036], phi:[0.3854]] | t^2.094 + t^2.531 + t^3.469 + 2*t^3.578 + 2*t^3.687 + 2*t^3.797 + t^4.188 + t^4.625 + t^4.844 + t^5.062 + t^5.563 + 2*t^5.672 + t^5.781 - 2*t^6. - t^4.156/y - t^4.156*y | detail | |
| 1802 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6991 | 0.86 | 0.8129 | [M:[0.7009, 1.1495, 1.0, 0.7009, 1.0], q:[0.7874, 0.5117], qb:[0.5117, 0.4883], phi:[0.4252]] | 2*t^2.103 + 2*t^3. + t^3.07 + t^3.449 + t^3.827 + 4*t^4.206 + 2*t^4.276 + 3*t^4.346 + 4*t^5.103 + 2*t^5.173 + 2*t^5.551 - 2*t^6. - t^4.276/y - t^4.276*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 |
|---|---|---|---|---|---|---|---|---|---|
| 212 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.7546 | 0.9174 | 0.8226 | [M:[0.7904, 1.2096, 0.7904, 0.7904, 0.7904], q:[0.6048, 0.6048], qb:[0.6048, 0.6048], phi:[0.3952]] | 4*t^2.371 + 3*t^3.629 + 10*t^4.743 + 10*t^4.814 - 4*t^6. - t^4.186/y - t^4.186*y | detail |