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 |
|---|---|---|---|---|---|---|---|---|---|
| 438 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ | 0.7163 | 0.8881 | 0.8066 | [M:[0.9996, 0.9212, 1.0004, 0.7481, 0.6689], q:[0.7913, 0.5398], qb:[0.4606, 0.539], phi:[0.4173]] | [M:[[7, 1], [14, 0], [-7, -1], [-6, 0], [15, 1]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.007 + t^2.244 + t^2.504 + t^2.764 + t^2.999 + t^3.001 + t^3.991 + t^4.013 + t^4.016 + 2*t^4.251 + t^4.253 + t^4.486 + 2*t^4.488 + t^4.491 + t^4.51 + t^4.748 + t^4.77 + t^5.005 + 3*t^5.008 + t^5.243 + t^5.245 + t^5.267 + t^5.503 + t^5.505 + t^5.527 + t^5.998 - 2*t^6. + t^6.02 + t^6.022 - t^6.238 + 2*t^6.257 + t^6.26 + t^6.493 + 3*t^6.495 + t^6.497 + t^6.517 + t^6.519 + t^6.73 + 2*t^6.733 + t^6.735 + 2*t^6.755 + t^6.777 + t^6.779 + 2*t^6.99 + t^6.992 + t^6.995 + t^7.012 + 4*t^7.014 + t^7.017 + 2*t^7.25 + 3*t^7.252 + t^7.254 + t^7.274 + t^7.485 + t^7.487 + t^7.49 + t^7.492 + t^7.509 + 2*t^7.512 + t^7.534 + 2*t^7.771 - t^7.984 - t^7.987 + t^8.004 - t^8.007 + t^8.026 + t^8.029 + 2*t^8.031 - 4*t^8.244 - t^8.247 + 2*t^8.264 + 2*t^8.266 + t^8.269 + t^8.291 + t^8.477 - t^8.482 + t^8.499 + 4*t^8.502 - t^8.504 + t^8.506 + t^8.524 + t^8.526 + 2*t^8.737 + 2*t^8.739 + t^8.744 + 2*t^8.761 - 3*t^8.764 + t^8.783 + t^8.786 + t^8.972 + 2*t^8.974 + 3*t^8.977 + 2*t^8.979 + t^8.981 + 2*t^8.996 - t^8.999 - t^4.252/y - t^6.259/y - t^6.496/y - t^6.756/y - t^7.016/y + t^7.251/y + t^7.488/y + t^7.51/y + (2*t^7.748)/y + t^7.77/y + t^8.005/y + (3*t^8.008)/y + t^8.243/y + (2*t^8.245)/y - t^8.265/y + t^8.267/y + t^8.505/y - t^8.74/y + t^8.765/y + t^8.998/y - t^4.252*y - t^6.259*y - t^6.496*y - t^6.756*y - t^7.016*y + t^7.251*y + t^7.488*y + t^7.51*y + 2*t^7.748*y + t^7.77*y + t^8.005*y + 3*t^8.008*y + t^8.243*y + 2*t^8.245*y - t^8.265*y + t^8.267*y + t^8.505*y - t^8.74*y + t^8.765*y + t^8.998*y | g1^15*g2*t^2.007 + t^2.244/g1^6 + g1^4*t^2.504 + g1^14*t^2.764 + g1^7*g2*t^2.999 + t^3.001/(g1^7*g2) + (g2*t^3.991)/g1 + g1^30*g2^2*t^4.013 + g1^16*t^4.016 + 2*g1^9*g2*t^4.251 + t^4.253/(g1^5*g2) + g1^2*g2^2*t^4.486 + (2*t^4.488)/g1^12 + t^4.491/(g1^26*g2^2) + g1^19*g2*t^4.51 + t^4.748/g1^2 + g1^29*g2*t^4.77 + g1^22*g2^2*t^5.005 + 3*g1^8*t^5.008 + g1*g2*t^5.243 + t^5.245/(g1^13*g2) + g1^18*t^5.267 + g1^11*g2*t^5.503 + t^5.505/(g1^3*g2) + g1^28*t^5.527 + g1^14*g2^2*t^5.998 - 2*t^6. + g1^45*g2^3*t^6.02 + g1^31*g2*t^6.022 - t^6.238/(g1^21*g2) + 2*g1^24*g2^2*t^6.257 + g1^10*t^6.26 + g1^17*g2^3*t^6.493 + 3*g1^3*g2*t^6.495 + t^6.497/(g1^11*g2) + g1^34*g2^2*t^6.517 + g1^20*t^6.519 + (g2^2*t^6.73)/g1^4 + (2*t^6.733)/g1^18 + t^6.735/(g1^32*g2^2) + 2*g1^13*g2*t^6.755 + g1^44*g2^2*t^6.777 + g1^30*t^6.779 + 2*g1^6*g2^2*t^6.99 + t^6.992/g1^8 + t^6.995/(g1^22*g2^2) + g1^37*g2^3*t^7.012 + 4*g1^23*g2*t^7.014 + (g1^9*t^7.017)/g2 + 2*g1^16*g2^2*t^7.25 + 3*g1^2*t^7.252 + t^7.254/(g1^12*g2^2) + g1^33*g2*t^7.274 + g1^9*g2^3*t^7.485 + (g2*t^7.487)/g1^5 + t^7.49/(g1^19*g2) + t^7.492/(g1^33*g2^3) + g1^26*g2^2*t^7.509 + 2*g1^12*t^7.512 + g1^43*g2*t^7.534 + 2*g1^22*t^7.771 - t^7.984/g1^16 - t^7.987/(g1^30*g2^2) + g1^29*g2^3*t^8.004 - g1^15*g2*t^8.007 + g1^60*g2^4*t^8.026 + g1^46*g2^2*t^8.029 + 2*g1^32*t^8.031 - (4*t^8.244)/g1^6 - t^8.247/(g1^20*g2^2) + 2*g1^39*g2^3*t^8.264 + 2*g1^25*g2*t^8.266 + (g1^11*t^8.269)/g2 + g1^42*t^8.291 + g1*g2^3*t^8.477 - t^8.482/(g1^27*g2) + g1^32*g2^4*t^8.499 + 4*g1^18*g2^2*t^8.502 - g1^4*t^8.504 + t^8.506/(g1^10*g2^2) + g1^49*g2^3*t^8.524 + g1^35*g2*t^8.526 + 2*g1^11*g2^3*t^8.737 + (2*g2*t^8.739)/g1^3 + t^8.744/(g1^31*g2^3) + 2*g1^28*g2^2*t^8.761 - 3*g1^14*t^8.764 + g1^59*g2^3*t^8.783 + g1^45*g2*t^8.786 + g1^4*g2^4*t^8.972 + (2*g2^2*t^8.974)/g1^10 + (3*t^8.977)/g1^24 + (2*t^8.979)/(g1^38*g2^2) + t^8.981/(g1^52*g2^4) + 2*g1^21*g2^3*t^8.996 - g1^7*g2*t^8.999 - (g1^2*t^4.252)/y - (g1^17*g2*t^6.259)/y - t^6.496/(g1^4*y) - (g1^6*t^6.756)/y - (g1^16*t^7.016)/y + (g1^9*g2*t^7.251)/y + t^7.488/(g1^12*y) + (g1^19*g2*t^7.51)/y + (2*t^7.748)/(g1^2*y) + (g1^29*g2*t^7.77)/y + (g1^22*g2^2*t^8.005)/y + (3*g1^8*t^8.008)/y + (g1*g2*t^8.243)/y + (2*t^8.245)/(g1^13*g2*y) - (g1^32*g2^2*t^8.265)/y + (g1^18*t^8.267)/y + t^8.505/(g1^3*g2*y) - t^8.74/(g1^10*y) + (g1^7*t^8.765)/(g2*y) + (g1^14*g2^2*t^8.998)/y - g1^2*t^4.252*y - g1^17*g2*t^6.259*y - (t^6.496*y)/g1^4 - g1^6*t^6.756*y - g1^16*t^7.016*y + g1^9*g2*t^7.251*y + (t^7.488*y)/g1^12 + g1^19*g2*t^7.51*y + (2*t^7.748*y)/g1^2 + g1^29*g2*t^7.77*y + g1^22*g2^2*t^8.005*y + 3*g1^8*t^8.008*y + g1*g2*t^8.243*y + (2*t^8.245*y)/(g1^13*g2) - g1^32*g2^2*t^8.265*y + g1^18*t^8.267*y + (t^8.505*y)/(g1^3*g2) - (t^8.74*y)/g1^10 + (g1^7*t^8.765*y)/g2 + g1^14*g2^2*t^8.998*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 |
|---|---|---|---|---|---|---|---|---|
| 732 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ | 0.651 | 0.8164 | 0.7974 | [M:[1.1768, 0.7458, 0.8232, 0.8232, 0.7458], q:[0.8039, 0.4503], qb:[0.3729, 0.8039], phi:[0.3923]] | 2*t^2.237 + t^2.354 + 2*t^2.47 + t^3.414 + t^3.53 + t^3.646 + t^3.879 + 3*t^4.475 + 2*t^4.591 + 5*t^4.707 + 3*t^4.823 + 3*t^4.939 + 2*t^5.652 + 2*t^5.768 + 3*t^5.884 - t^4.177/y - t^4.177*y | detail | |
| 731 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ | 0.6462 | 0.7871 | 0.821 | [X:[1.3527], M:[1.0402, 1.1562, 0.9598, 0.6473, 0.8438], q:[0.7746, 0.3817], qb:[0.5781, 0.4621], phi:[0.4509]] | t^2.531 + t^2.705 + t^2.879 + t^3.121 + t^3.469 + t^3.643 + t^3.71 + t^3.884 + t^4.058 + t^4.125 + t^4.232 + t^4.473 + t^4.821 + t^5.063 + t^5.237 + t^5.411 + t^5.585 + t^5.826 - t^6. - t^4.353/y - t^4.353*y | detail | |
| 733 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7372 | 0.9296 | 0.793 | [M:[1.0, 0.9207, 1.0, 0.7483, 0.669, 0.669], q:[0.7914, 0.5397], qb:[0.4603, 0.5397], phi:[0.4172]] | 2*t^2.007 + t^2.245 + t^2.503 + t^2.762 + 2*t^3. + 4*t^4.014 + 4*t^4.252 + 4*t^4.49 + 2*t^4.51 + t^4.748 + 2*t^4.769 + 6*t^5.007 + 2*t^5.245 + t^5.265 + 2*t^5.503 + t^5.524 - 2*t^6. - t^4.252/y - t^4.252*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 |
|---|---|---|---|---|---|---|---|---|---|
| 269 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6955 | 0.8466 | 0.8215 | [M:[1.0, 0.9217, 1.0, 0.7479], q:[0.7913, 0.5392], qb:[0.4608, 0.5392], phi:[0.4174]] | t^2.244 + t^2.504 + t^2.765 + 2*t^3. + 2*t^3.991 + t^4.017 + 2*t^4.252 + 4*t^4.487 + t^4.748 + 2*t^5.009 + 2*t^5.244 + t^5.269 + 2*t^5.504 + t^5.53 - 2*t^6. - t^4.252/y - t^4.252*y | detail |