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 |
|---|---|---|---|---|---|---|---|---|---|
| 523 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6062 | 0.7757 | 0.7814 | [M:[1.0, 1.0213, 0.9573, 1.0213, 0.7341], q:[0.7553, 0.2447], qb:[0.5319, 0.5108], phi:[0.4893]] | [M:[[0, 0], [4, 4], [-8, -8], [4, 4], [-5, 3]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$ | ${}$ | -3 | t^2.202 + t^2.266 + t^2.33 + t^2.872 + t^3. + 2*t^3.064 + t^3.734 + t^3.798 + t^3.862 + t^4.405 + t^4.469 + t^4.532 + 2*t^4.533 + 2*t^4.596 + 2*t^4.659 + t^5.074 + t^5.202 + 3*t^5.266 + 3*t^5.33 + 2*t^5.394 + t^5.744 + t^5.872 + t^5.936 - 3*t^6. + 2*t^6.001 - t^6.063 + 3*t^6.064 + t^6.065 + 4*t^6.128 + t^6.191 + t^6.607 - t^6.67 + t^6.671 + 2*t^6.735 + t^6.798 + 2*t^6.799 + 5*t^6.862 + 4*t^6.926 + 2*t^6.989 + t^7.277 + t^7.405 - 2*t^7.468 + 3*t^7.469 - 2*t^7.532 + 4*t^7.533 - t^7.595 + 3*t^7.596 + 4*t^7.597 + t^7.659 + 4*t^7.66 + 4*t^7.723 + t^7.946 + t^8.074 + t^8.138 - 4*t^8.202 + t^8.203 - 4*t^8.266 + 3*t^8.267 + 2*t^8.331 - t^8.393 + 7*t^8.394 + 5*t^8.458 + 2*t^8.521 + t^8.616 + t^8.744 + t^8.808 + t^8.809 - 3*t^8.872 + t^8.873 + t^8.937 - t^4.468/y - t^6.67/y - t^7.34/y + t^7.404/y + t^7.469/y + (2*t^7.596)/y + t^8.074/y + t^8.138/y + (2*t^8.202)/y + (4*t^8.266)/y + (3*t^8.33)/y + (2*t^8.394)/y + t^8.872/y - t^8.873/y + (2*t^8.936)/y + t^8.937/y - t^4.468*y - t^6.67*y - t^7.34*y + t^7.404*y + t^7.469*y + 2*t^7.596*y + t^8.074*y + t^8.138*y + 2*t^8.202*y + 4*t^8.266*y + 3*t^8.33*y + 2*t^8.394*y + t^8.872*y - t^8.873*y + 2*t^8.936*y + t^8.937*y | (g2^3*t^2.202)/g1^5 + (g2^7*t^2.266)/g1 + (g1^7*t^2.33)/g2 + t^2.872/(g1^8*g2^8) + t^3. + 2*g1^4*g2^4*t^3.064 + (g2^5*t^3.734)/g1^3 + g1*g2^9*t^3.798 + g1^9*g2*t^3.862 + (g2^6*t^4.405)/g1^10 + (g2^10*t^4.469)/g1^6 + g1^2*g2^2*t^4.532 + (2*g2^14*t^4.533)/g1^2 + 2*g1^6*g2^6*t^4.596 + (2*g1^14*t^4.659)/g2^2 + t^5.074/(g1^13*g2^5) + (g2^3*t^5.202)/g1^5 + (3*g2^7*t^5.266)/g1 + (g1^7*t^5.33)/g2 + 2*g1^3*g2^11*t^5.33 + 2*g1^11*g2^3*t^5.394 + t^5.744/(g1^16*g2^16) + t^5.872/(g1^8*g2^8) + t^5.936/(g1^4*g2^4) - 3*t^6. + (2*g2^12*t^6.001)/g1^4 - (g1^8*t^6.063)/g2^8 + 3*g1^4*g2^4*t^6.064 + g2^16*t^6.065 + 4*g1^8*g2^8*t^6.128 + g1^16*t^6.191 + (g2^9*t^6.607)/g1^15 - t^6.67/(g1^3*g2^11) + (g2^13*t^6.671)/g1^11 + (2*g2^17*t^6.735)/g1^7 - (2*g1^5*t^6.798)/g2^3 + 3*g1*g2^9*t^6.798 + (2*g2^21*t^6.799)/g1^3 + g1^9*g2*t^6.862 + 4*g1^5*g2^13*t^6.862 + 4*g1^13*g2^5*t^6.926 + (2*g1^21*t^6.989)/g2^3 + t^7.277/(g1^18*g2^2) + (g2^6*t^7.405)/g1^10 - (2*t^7.468)/(g1^2*g2^2) + (3*g2^10*t^7.469)/g1^6 - 2*g1^2*g2^2*t^7.532 + (4*g2^14*t^7.533)/g1^2 - (g1^10*t^7.595)/g2^6 + 3*g1^6*g2^6*t^7.596 + 4*g1^2*g2^18*t^7.597 + (g1^14*t^7.659)/g2^2 + 4*g1^10*g2^10*t^7.66 + 4*g1^18*g2^2*t^7.723 + t^7.946/(g1^21*g2^13) + t^8.074/(g1^13*g2^5) + t^8.138/(g1^9*g2) - (4*g2^3*t^8.202)/g1^5 + (g2^15*t^8.203)/g1^9 - (2*g1^3*t^8.266)/g2^5 - (2*g2^7*t^8.266)/g1 + (3*g2^19*t^8.267)/g1^5 - (5*g1^7*t^8.33)/g2 + 5*g1^3*g2^11*t^8.33 + (2*g2^23*t^8.331)/g1 - (g1^15*t^8.393)/g2^9 + 2*g1^11*g2^3*t^8.394 + 5*g1^7*g2^15*t^8.394 + 5*g1^15*g2^7*t^8.458 + (2*g1^23*t^8.521)/g2 + t^8.616/(g1^24*g2^24) + t^8.744/(g1^16*g2^16) + t^8.808/(g1^12*g2^12) + (g2^12*t^8.809)/g1^20 - (3*t^8.872)/(g1^8*g2^8) + (g2^16*t^8.873)/g1^16 - (g2^8*t^8.937)/g1^8 + (2*g2^20*t^8.937)/g1^12 - t^4.468/(g1^2*g2^2*y) - (g2*t^6.67)/(g1^7*y) - t^7.34/(g1^10*g2^10*y) + t^7.404/(g1^6*g2^6*y) + (g2^10*t^7.469)/(g1^6*y) + (2*g1^6*g2^6*t^7.596)/y + t^8.074/(g1^13*g2^5*y) + t^8.138/(g1^9*g2*y) + t^8.202/(g1*g2^9*y) + (g2^3*t^8.202)/(g1^5*y) + (g1^3*t^8.266)/(g2^5*y) + (3*g2^7*t^8.266)/(g1*y) + (g1^7*t^8.33)/(g2*y) + (2*g1^3*g2^11*t^8.33)/y + (2*g1^11*g2^3*t^8.394)/y + t^8.872/(g1^8*g2^8*y) - (g2^4*t^8.873)/(g1^12*y) + (2*t^8.936)/(g1^4*g2^4*y) + (g2^8*t^8.937)/(g1^8*y) - (t^4.468*y)/(g1^2*g2^2) - (g2*t^6.67*y)/g1^7 - (t^7.34*y)/(g1^10*g2^10) + (t^7.404*y)/(g1^6*g2^6) + (g2^10*t^7.469*y)/g1^6 + 2*g1^6*g2^6*t^7.596*y + (t^8.074*y)/(g1^13*g2^5) + (t^8.138*y)/(g1^9*g2) + (t^8.202*y)/(g1*g2^9) + (g2^3*t^8.202*y)/g1^5 + (g1^3*t^8.266*y)/g2^5 + (3*g2^7*t^8.266*y)/g1 + (g1^7*t^8.33*y)/g2 + 2*g1^3*g2^11*t^8.33*y + 2*g1^11*g2^3*t^8.394*y + (t^8.872*y)/(g1^8*g2^8) - (g2^4*t^8.873*y)/g1^12 + (2*t^8.936*y)/(g1^4*g2^4) + (g2^8*t^8.937*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 818 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6252 | 0.8098 | 0.7721 | [M:[1.0, 1.0237, 0.9525, 1.0237, 0.7441, 0.7441], q:[0.7559, 0.2441], qb:[0.5237, 0.5237], phi:[0.4881]] | 2*t^2.232 + 2*t^2.303 + t^2.858 + t^3. + 2*t^3.071 + 2*t^3.839 + 3*t^4.464 + 4*t^4.536 + 6*t^4.607 + 2*t^5.09 + 2*t^5.232 + 6*t^5.303 + 4*t^5.375 + t^5.715 + t^5.858 + t^5.929 - 5*t^6. - t^4.464/y - t^4.464*y | detail | |
| 1878 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6266 | 0.8144 | 0.7694 | [M:[1.0, 1.0266, 0.9468, 1.0266, 0.7278, 0.7012], q:[0.7567, 0.2433], qb:[0.5421, 0.5111], phi:[0.4867]] | t^2.104 + t^2.183 + t^2.263 + t^2.356 + t^2.84 + t^3. + 2*t^3.08 + t^3.723 + t^3.803 + t^4.207 + t^4.287 + 2*t^4.367 + t^4.447 + t^4.46 + 2*t^4.527 + t^4.54 + 2*t^4.62 + 2*t^4.713 + t^4.944 + t^5.024 + t^5.104 + 3*t^5.183 + 3*t^5.263 + 2*t^5.343 + t^5.356 + 2*t^5.436 + t^5.681 + t^5.827 + t^5.84 + t^5.907 + t^5.92 + 2*t^5.987 - 3*t^6. - t^4.46/y - t^4.46*y | detail | |
| 1877 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6261 | 0.8118 | 0.7713 | [M:[1.0, 1.029, 0.942, 1.029, 0.7395, 0.717], q:[0.7572, 0.2428], qb:[0.5322, 0.5257], phi:[0.4855]] | t^2.151 + t^2.219 + t^2.305 + t^2.325 + t^2.826 + t^3. + 2*t^3.087 + t^3.762 + t^3.868 + t^4.302 + t^4.37 + t^4.437 + t^4.457 + t^4.476 + t^4.524 + t^4.543 + 2*t^4.611 + 2*t^4.63 + 2*t^4.65 + t^4.977 + t^5.045 + t^5.151 + t^5.219 + 2*t^5.238 + 3*t^5.305 + t^5.325 + 2*t^5.392 + 2*t^5.412 + t^5.652 + t^5.826 + 2*t^5.913 - 3*t^6. - t^4.457/y - t^4.457*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 |
|---|---|---|---|---|---|---|---|---|---|
| 333 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.5867 | 0.74 | 0.7929 | [M:[1.0, 1.0193, 0.9615, 1.0193], q:[0.7548, 0.2452], qb:[0.5193, 0.5193], phi:[0.4904]] | 2*t^2.293 + t^2.884 + t^3. + 2*t^3.058 + 2*t^3.764 + 2*t^3.822 + 6*t^4.587 + 2*t^5.293 + 4*t^5.351 + t^5.769 + t^5.884 + t^5.942 - 5*t^6. - t^4.471/y - t^4.471*y | detail |