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 |
|---|---|---|---|---|---|---|---|---|---|
| 51842 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.6863 | 0.8527 | 0.8049 | [M:[0.6756, 1.1081, 0.9684, 0.7388, 0.8153, 1.2612], q:[0.777, 0.5474], qb:[0.4842, 0.4077], phi:[0.4459]] | [M:[[36], [-12], [22], [-8], [2], [8]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{6}$ | ${}$ | -2 | t^2.027 + t^2.446 + t^2.676 + t^2.865 + t^2.905 + t^3.324 + 2*t^3.784 + t^4.013 + t^4.054 + t^4.203 + t^4.243 + t^4.433 + t^4.473 + t^4.622 + t^4.702 + 2*t^4.892 + t^4.932 + t^5.122 + t^5.311 + 3*t^5.351 + t^5.541 + t^5.73 + t^5.77 + 2*t^5.81 - 2*t^6. + t^6.04 + t^6.08 + 2*t^6.23 + t^6.27 - t^6.419 + 3*t^6.459 + t^6.499 + 3*t^6.649 + 3*t^6.689 + t^6.729 + t^6.878 + 3*t^6.919 + t^6.959 + 2*t^7.068 + t^7.108 + t^7.148 + t^7.298 + t^7.338 + 3*t^7.378 + t^7.487 + 3*t^7.567 + 4*t^7.797 + 2*t^7.837 + t^7.987 + t^8.027 + t^8.067 + t^8.107 + 2*t^8.216 + 3*t^8.256 + t^8.297 + 2*t^8.406 - 4*t^8.446 + 3*t^8.486 + t^8.526 + t^8.595 + 2*t^8.676 + 4*t^8.716 + t^8.756 + t^8.825 - 3*t^8.865 - t^8.905 + 3*t^8.945 + t^8.985 - t^4.338/y - t^6.365/y - t^6.784/y - t^7.243/y + t^7.433/y + t^7.473/y + t^7.702/y + (2*t^7.892)/y + t^7.932/y + t^8.122/y + (2*t^8.311)/y + (2*t^8.351)/y - t^8.391/y + t^8.541/y + t^8.581/y + (2*t^8.77)/y + t^8.81/y - t^4.338*y - t^6.365*y - t^6.784*y - t^7.243*y + t^7.433*y + t^7.473*y + t^7.702*y + 2*t^7.892*y + t^7.932*y + t^8.122*y + 2*t^8.311*y + 2*t^8.351*y - t^8.391*y + t^8.541*y + t^8.581*y + 2*t^8.77*y + t^8.81*y | g1^36*t^2.027 + g1^2*t^2.446 + g1^12*t^2.676 + t^2.865/g1^32 + g1^22*t^2.905 + t^3.324/g1^12 + 2*g1^8*t^3.784 + g1^18*t^4.013 + g1^72*t^4.054 + t^4.203/g1^26 + g1^28*t^4.243 + t^4.433/g1^16 + g1^38*t^4.473 + t^4.622/g1^60 + g1^48*t^4.702 + 2*g1^4*t^4.892 + g1^58*t^4.932 + g1^14*t^5.122 + t^5.311/g1^30 + 3*g1^24*t^5.351 + t^5.541/g1^20 + t^5.73/g1^64 + t^5.77/g1^10 + 2*g1^44*t^5.81 - 2*t^6. + g1^54*t^6.04 + g1^108*t^6.08 + 2*g1^10*t^6.23 + g1^64*t^6.27 - t^6.419/g1^34 + 3*g1^20*t^6.459 + g1^74*t^6.499 + (3*t^6.649)/g1^24 + 3*g1^30*t^6.689 + g1^84*t^6.729 + t^6.878/g1^14 + 3*g1^40*t^6.919 + g1^94*t^6.959 + (2*t^7.068)/g1^58 + t^7.108/g1^4 + g1^50*t^7.148 + t^7.298/g1^48 + g1^6*t^7.338 + 3*g1^60*t^7.378 + t^7.487/g1^92 + 3*g1^16*t^7.567 + 4*g1^26*t^7.797 + 2*g1^80*t^7.837 + t^7.987/g1^18 + g1^36*t^8.027 + g1^90*t^8.067 + g1^144*t^8.107 + (2*t^8.216)/g1^8 + 3*g1^46*t^8.256 + g1^100*t^8.297 + (2*t^8.406)/g1^52 - 4*g1^2*t^8.446 + 3*g1^56*t^8.486 + g1^110*t^8.526 + t^8.595/g1^96 + 2*g1^12*t^8.676 + 4*g1^66*t^8.716 + g1^120*t^8.756 + t^8.825/g1^86 - (3*t^8.865)/g1^32 - g1^22*t^8.905 + 3*g1^76*t^8.945 + g1^130*t^8.985 - (g1^6*t^4.338)/y - (g1^42*t^6.365)/y - (g1^8*t^6.784)/y - (g1^28*t^7.243)/y + t^7.433/(g1^16*y) + (g1^38*t^7.473)/y + (g1^48*t^7.702)/y + (2*g1^4*t^7.892)/y + (g1^58*t^7.932)/y + (g1^14*t^8.122)/y + (2*t^8.311)/(g1^30*y) + (2*g1^24*t^8.351)/y - (g1^78*t^8.391)/y + t^8.541/(g1^20*y) + (g1^34*t^8.581)/y + (2*t^8.77)/(g1^10*y) + (g1^44*t^8.81)/y - g1^6*t^4.338*y - g1^42*t^6.365*y - g1^8*t^6.784*y - g1^28*t^7.243*y + (t^7.433*y)/g1^16 + g1^38*t^7.473*y + g1^48*t^7.702*y + 2*g1^4*t^7.892*y + g1^58*t^7.932*y + g1^14*t^8.122*y + (2*t^8.311*y)/g1^30 + 2*g1^24*t^8.351*y - g1^78*t^8.391*y + (t^8.541*y)/g1^20 + g1^34*t^8.581*y + (2*t^8.77*y)/g1^10 + g1^44*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 56322 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{3}$ | 0.6347 | 0.7942 | 0.7992 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 0.8276, 1.3103], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.276 + t^2.483 + t^2.69 + t^2.897 + t^3.103 + t^3.31 + t^3.517 + t^3.724 + 2*t^3.931 + t^4.138 + t^4.345 + t^4.552 + 2*t^4.759 + 2*t^4.966 + 2*t^5.172 + 2*t^5.379 + 2*t^5.586 + 3*t^5.793 + t^6. - t^4.448/y - t^4.448*y | detail | {a: 123837/195112, c: 77477/97556, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 24/29, M6: 38/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 56324 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6655 | 0.8117 | 0.8199 | [M:[0.6788, 1.1071, 0.9704, 0.738, 0.8155, 1.262, 1.3212], q:[0.7768, 0.5444], qb:[0.4852, 0.4077], phi:[0.4465]] | t^2.446 + t^2.679 + t^2.857 + t^2.911 + t^3.321 + 2*t^3.786 + t^3.964 + t^4.018 + t^4.196 + t^4.251 + t^4.428 + t^4.606 + t^4.893 + t^5.125 + t^5.303 + 2*t^5.358 + t^5.535 + t^5.713 + t^5.768 - 2*t^6. - t^4.339/y - t^4.339*y | detail | |
| 56325 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}X_{1}$ | 0.6754 | 0.8282 | 0.8156 | [X:[1.3394], M:[0.6606, 1.1131, 0.9593, 0.7421, 0.8145, 1.2579, 0.8869], q:[0.7783, 0.5611], qb:[0.4796, 0.4072], phi:[0.4434]] | t^2.443 + 2*t^2.661 + t^2.878 + t^2.905 + 2*t^3.774 + t^3.991 + t^4.018 + t^4.208 + t^4.235 + t^4.453 + t^4.697 + t^4.887 + 2*t^5.104 + 4*t^5.321 + t^5.348 + t^5.538 + 2*t^5.566 + t^5.81 - 3*t^6. - t^4.33/y - t^4.33*y | detail | |
| 56323 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}X_{1}$ | 0.6633 | 0.8079 | 0.8211 | [X:[1.375], M:[0.625, 1.125, 0.9375, 0.75, 0.8125, 1.25], q:[0.7813, 0.5938], qb:[0.4688, 0.4063], phi:[0.4375]] | t^2.438 + t^2.625 + t^2.813 + t^3. + t^3.375 + 2*t^3.75 + t^3.938 + 2*t^4.125 + t^4.313 + t^4.5 + 2*t^4.875 + t^5.063 + 2*t^5.25 + t^5.438 + t^5.625 + t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 86943/131072, c: 105887/131072, X1: 11/8, M1: 5/8, M2: 9/8, M3: 15/16, M4: 3/4, M5: 13/16, M6: 5/4, q1: 25/32, q2: 19/32, qb1: 15/32, qb2: 13/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48154 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7058 | 0.8884 | 0.7944 | [M:[0.6794, 1.1069, 0.9707, 0.7379, 0.8155], q:[0.7767, 0.5439], qb:[0.4854, 0.4078], phi:[0.4466]] | t^2.038 + t^2.214 + t^2.447 + t^2.679 + t^2.855 + t^2.912 + t^3.321 + t^3.786 + t^4.019 + t^4.076 + t^4.195 + 2*t^4.252 + 2*t^4.427 + t^4.485 + t^4.603 + t^4.66 + t^4.718 + 3*t^4.893 + t^4.95 + t^5.069 + 2*t^5.126 + t^5.301 + 3*t^5.359 + 2*t^5.534 + t^5.71 + t^5.767 + t^5.824 - t^6. - t^4.34/y - t^4.34*y | detail |