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 |
|---|---|---|---|---|---|---|---|---|---|
| 46772 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6062 | 0.7757 | 0.7814 | [M:[1.0213, 0.9573, 1.0, 1.0213, 0.7341], q:[0.5319, 0.5108], qb:[0.7553, 0.2447], phi:[0.4893]] | [M:[[0, -4], [0, 8], [0, 0], [0, -4], [1, 5]], q:[[-1, -8], [1, 0]], qb:[[0, -1], [0, 1]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$ | ${}$ | -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 | g1*g2^5*t^2.202 + g1*g2*t^2.266 + t^2.33/(g1*g2^7) + g2^8*t^2.872 + t^3. + (2*t^3.064)/g2^4 + g1*g2^3*t^3.734 + (g1*t^3.798)/g2 + t^3.862/(g1*g2^9) + g1^2*g2^10*t^4.405 + g1^2*g2^6*t^4.469 + t^4.532/g2^2 + 2*g1^2*g2^2*t^4.533 + (2*t^4.596)/g2^6 + (2*t^4.659)/(g1^2*g2^14) + g1*g2^13*t^5.074 + g1*g2^5*t^5.202 + 3*g1*g2*t^5.266 + t^5.33/(g1*g2^7) + (2*g1*t^5.33)/g2^3 + (2*t^5.394)/(g1*g2^11) + g2^16*t^5.744 + g2^8*t^5.872 + g2^4*t^5.936 - 3*t^6. + 2*g1^2*g2^4*t^6.001 - t^6.063/(g1^2*g2^8) + (3*t^6.064)/g2^4 + g1^2*t^6.065 + (4*t^6.128)/g2^8 + t^6.191/(g1^2*g2^16) + g1^3*g2^15*t^6.607 - (g2^3*t^6.67)/g1 + g1^3*g2^11*t^6.671 + 2*g1^3*g2^7*t^6.735 - (2*t^6.798)/(g1*g2^5) + (3*g1*t^6.798)/g2 + 2*g1^3*g2^3*t^6.799 + t^6.862/(g1*g2^9) + (4*g1*t^6.862)/g2^5 + (4*t^6.926)/(g1*g2^13) + (2*t^6.989)/(g1^3*g2^21) + g1^2*g2^18*t^7.277 + g1^2*g2^10*t^7.405 - 2*g2^2*t^7.468 + 3*g1^2*g2^6*t^7.469 - (2*t^7.532)/g2^2 + 4*g1^2*g2^2*t^7.533 - t^7.595/(g1^2*g2^10) + (3*t^7.596)/g2^6 + (4*g1^2*t^7.597)/g2^2 + t^7.659/(g1^2*g2^14) + (4*t^7.66)/g2^10 + (4*t^7.723)/(g1^2*g2^18) + g1*g2^21*t^7.946 + g1*g2^13*t^8.074 + g1*g2^9*t^8.138 - 4*g1*g2^5*t^8.202 + g1^3*g2^9*t^8.203 - (2*t^8.266)/(g1*g2^3) - 2*g1*g2*t^8.266 + 3*g1^3*g2^5*t^8.267 - (5*t^8.33)/(g1*g2^7) + (5*g1*t^8.33)/g2^3 + 2*g1^3*g2*t^8.331 - t^8.393/(g1^3*g2^15) + (2*t^8.394)/(g1*g2^11) + (5*g1*t^8.394)/g2^7 + (5*t^8.458)/(g1*g2^15) + (2*t^8.521)/(g1^3*g2^23) + g2^24*t^8.616 + g2^16*t^8.744 + g2^12*t^8.808 + g1^4*g2^20*t^8.809 - 3*g2^8*t^8.872 + g1^4*g2^16*t^8.873 - g1^2*g2^8*t^8.937 + 2*g1^4*g2^12*t^8.937 - (g2^2*t^4.468)/y - (g1*g2^7*t^6.67)/y - (g2^10*t^7.34)/y + (g2^6*t^7.404)/y + (g1^2*g2^6*t^7.469)/y + (2*t^7.596)/(g2^6*y) + (g1*g2^13*t^8.074)/y + (g1*g2^9*t^8.138)/y + (g2*t^8.202)/(g1*y) + (g1*g2^5*t^8.202)/y + t^8.266/(g1*g2^3*y) + (3*g1*g2*t^8.266)/y + t^8.33/(g1*g2^7*y) + (2*g1*t^8.33)/(g2^3*y) + (2*t^8.394)/(g1*g2^11*y) + (g2^8*t^8.872)/y - (g1^2*g2^12*t^8.873)/y + (2*g2^4*t^8.936)/y + (g1^2*g2^8*t^8.937)/y - g2^2*t^4.468*y - g1*g2^7*t^6.67*y - g2^10*t^7.34*y + g2^6*t^7.404*y + g1^2*g2^6*t^7.469*y + (2*t^7.596*y)/g2^6 + g1*g2^13*t^8.074*y + g1*g2^9*t^8.138*y + (g2*t^8.202*y)/g1 + g1*g2^5*t^8.202*y + (t^8.266*y)/(g1*g2^3) + 3*g1*g2*t^8.266*y + (t^8.33*y)/(g1*g2^7) + (2*g1*t^8.33*y)/g2^3 + (2*t^8.394*y)/(g1*g2^11) + g2^8*t^8.872*y - g1^2*g2^12*t^8.873*y + 2*g2^4*t^8.936*y + g1^2*g2^8*t^8.937*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 |
|---|---|---|---|---|---|---|---|---|
| 47075 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 0.5818 | 0.7347 | 0.7919 | [M:[1.1084, 0.7831, 1.0, 1.1084, 0.7831], q:[0.5482, 0.6687], qb:[0.7771, 0.2229], phi:[0.4458]] | t^2.313 + 2*t^2.349 + t^2.675 + t^3. + 2*t^3.325 + t^3.976 + t^4.012 + t^4.337 + 2*t^4.627 + t^4.663 + 3*t^4.699 + 2*t^4.988 + t^5.024 + t^5.313 + 4*t^5.349 + t^5.639 + 4*t^5.675 - 2*t^6. - t^4.337/y - t^4.337*y | detail | |
| 47014 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6266 | 0.8144 | 0.7694 | [M:[1.0266, 0.9468, 1.0, 1.0266, 0.7278, 0.7012], q:[0.5421, 0.5111], qb:[0.7567, 0.2433], 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 | |
| 48122 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6261 | 0.8118 | 0.7713 | [M:[1.029, 0.942, 1.0, 1.029, 0.7395, 0.717], q:[0.5322, 0.5257], qb:[0.7572, 0.2428], 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46139 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.5867 | 0.74 | 0.7929 | [M:[1.0193, 0.9615, 1.0, 1.0193], q:[0.5193, 0.5193], qb:[0.7548, 0.2452], 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 |