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 |
|---|---|---|---|---|---|---|---|---|---|
| 47020 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.6687 | 0.8234 | 0.8121 | [M:[1.0874, 1.0193, 1.0874, 0.9126, 0.6991], q:[0.4903, 0.4223], qb:[0.4903, 0.7718], phi:[0.4563]] | [M:[[4], [-22], [4], [-4], [32]], q:[[11], [-15]], qb:[[11], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}\phi_{1}^{2}$ | -3 | t^2.097 + 2*t^2.738 + t^3.058 + t^3.262 + t^3.582 + 2*t^3.787 + 2*t^4.107 + t^4.195 + 3*t^4.311 + 2*t^4.835 + t^5.155 + t^5.36 + 3*t^5.476 + t^5.68 + 2*t^5.884 - 3*t^6. + t^6.116 + t^6.292 + 2*t^6.32 + 3*t^6.408 + 2*t^6.524 + t^6.64 + 4*t^6.845 + 2*t^6.933 + 5*t^7.049 + t^7.253 + t^7.369 + t^7.457 + 4*t^7.573 + t^7.777 + 3*t^7.893 + 2*t^7.981 + t^8.097 + 4*t^8.213 + t^8.39 + 4*t^8.418 + 3*t^8.506 - t^8.534 + 7*t^8.622 - 6*t^8.738 - t^4.369/y - t^6.466/y + t^7.311/y - t^7.427/y + (2*t^7.835)/y + t^8.155/y + t^8.272/y + t^8.36/y + t^8.476/y - t^8.564/y + t^8.68/y + (2*t^8.796)/y + (2*t^8.884)/y - t^4.369*y - t^6.466*y + t^7.311*y - t^7.427*y + 2*t^7.835*y + t^8.155*y + t^8.272*y + t^8.36*y + t^8.476*y - t^8.564*y + t^8.68*y + 2*t^8.796*y + 2*t^8.884*y | g1^32*t^2.097 + (2*t^2.738)/g1^4 + t^3.058/g1^22 + g1^4*t^3.262 + t^3.582/g1^14 + 2*g1^12*t^3.787 + (2*t^4.107)/g1^6 + g1^64*t^4.195 + 3*g1^20*t^4.311 + 2*g1^28*t^4.835 + g1^10*t^5.155 + g1^36*t^5.36 + (3*t^5.476)/g1^8 + g1^18*t^5.68 + 2*g1^44*t^5.884 - 3*t^6. + t^6.116/g1^44 + g1^96*t^6.292 + (2*t^6.32)/g1^18 + 3*g1^52*t^6.408 + 2*g1^8*t^6.524 + t^6.64/g1^36 + (4*t^6.845)/g1^10 + 2*g1^60*t^6.933 + 5*g1^16*t^7.049 + g1^42*t^7.253 + t^7.369/g1^2 + g1^68*t^7.457 + 4*g1^24*t^7.573 + g1^50*t^7.777 + 3*g1^6*t^7.893 + 2*g1^76*t^7.981 + g1^32*t^8.097 + (4*t^8.213)/g1^12 + g1^128*t^8.39 + 4*g1^14*t^8.418 + 3*g1^84*t^8.506 - t^8.534/g1^30 + 7*g1^40*t^8.622 - (6*t^8.738)/g1^4 - t^4.369/(g1^2*y) - (g1^30*t^6.466)/y + (g1^20*t^7.311)/y - t^7.427/(g1^24*y) + (2*g1^28*t^7.835)/y + (g1^10*t^8.155)/y + t^8.272/(g1^34*y) + (g1^36*t^8.36)/y + t^8.476/(g1^8*y) - (g1^62*t^8.564)/y + (g1^18*t^8.68)/y + (2*t^8.796)/(g1^26*y) + (2*g1^44*t^8.884)/y - (t^4.369*y)/g1^2 - g1^30*t^6.466*y + g1^20*t^7.311*y - (t^7.427*y)/g1^24 + 2*g1^28*t^7.835*y + g1^10*t^8.155*y + (t^8.272*y)/g1^34 + g1^36*t^8.36*y + (t^8.476*y)/g1^8 - g1^62*t^8.564*y + g1^18*t^8.68*y + (2*t^8.796*y)/g1^26 + 2*g1^44*t^8.884*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 |
|---|---|---|---|---|---|---|---|---|
| 55352 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{6}$ | 0.6767 | 0.8366 | 0.8089 | [M:[1.0884, 1.0137, 1.0884, 0.9116, 0.7073, 0.9116], q:[0.4931, 0.4184], qb:[0.4931, 0.7721], phi:[0.4558]] | t^2.122 + 3*t^2.735 + t^3.041 + t^3.572 + 2*t^3.796 + 2*t^4.102 + t^4.244 + 3*t^4.326 + 3*t^4.857 + t^5.163 + 6*t^5.47 + t^5.694 + t^5.776 + 2*t^5.918 - 5*t^6. - t^4.367/y - t^4.367*y | detail | |
| 55243 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}^{2}$ | 0.613 | 0.7537 | 0.8134 | [M:[1.125, 0.8125, 1.125, 0.875, 1.0], q:[0.5938, 0.2813], qb:[0.5938, 0.7813], phi:[0.4375]] | t^2.438 + 2*t^2.625 + t^3. + t^3.188 + t^3.375 + 2*t^3.938 + 2*t^4.125 + 4*t^4.875 + 3*t^5.25 + t^5.438 + 3*t^5.625 + 2*t^5.813 - 2*t^6. - t^4.313/y - t^4.313*y | detail | {a: 2511/4096, c: 3087/4096, M1: 9/8, M2: 13/16, M3: 9/8, M4: 7/8, M5: 1, q1: 19/32, q2: 9/32, qb1: 19/32, qb2: 25/32, phi1: 7/16} |
| 55085 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.6851 | 0.8534 | 0.8028 | [M:[1.085, 1.0326, 1.085, 0.915, 0.6799, 0.7975], q:[0.4837, 0.4313], qb:[0.4837, 0.7712], phi:[0.4575]] | t^2.04 + t^2.392 + 2*t^2.745 + t^3.098 + t^3.255 + 2*t^3.765 + t^4.079 + 2*t^4.118 + 3*t^4.275 + t^4.432 + 3*t^4.785 + 3*t^5.137 + t^5.295 + 4*t^5.49 + t^5.647 + 2*t^5.805 - 3*t^6. - t^4.373/y - t^4.373*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46352 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6815 | 0.8422 | 0.8091 | [M:[0.9604, 0.9689, 1.1268, 0.8732, 0.6818], q:[0.5988, 0.4408], qb:[0.4324, 0.7817], phi:[0.4366]] | t^2.045 + 2*t^2.62 + t^2.881 + t^2.907 + t^3.642 + t^3.668 + t^3.904 + t^3.929 + t^4.091 + t^4.141 + t^4.403 + t^4.429 + 2*t^4.665 + t^4.902 + t^4.927 + t^4.952 + 3*t^5.239 + t^5.501 + t^5.526 + t^5.687 + t^5.713 + t^5.763 + t^5.788 + t^5.813 + t^5.949 - 3*t^6. - t^4.31/y - t^4.31*y | detail |