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 |
|---|---|---|---|---|---|---|---|---|---|
| 1539 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.682 | 0.8512 | 0.8012 | [M:[1.0374, 0.7672, 0.9626, 0.842, 1.158, 0.7816], q:[0.579, 0.3836], qb:[0.4583, 0.7744], phi:[0.4511]] | [M:[[22], [-30], [-22], [14], [-14], [32]], q:[[-7], [-15]], qb:[[29], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -1 | t^2.302 + t^2.345 + t^2.526 + t^2.707 + t^2.888 + t^3.112 + t^3.474 + t^3.879 + t^4.06 + t^4.103 + t^4.241 + t^4.466 + t^4.603 + t^4.647 + t^4.69 + 2*t^4.828 + t^4.871 + t^5.009 + 2*t^5.052 + t^5.19 + 2*t^5.233 + 2*t^5.414 + t^5.457 + t^5.595 + t^5.776 + 2*t^5.819 - t^6. + t^6.181 + t^6.224 + t^6.362 + 2*t^6.405 + t^6.448 + t^6.543 + t^6.586 + t^6.629 + t^6.767 + 2*t^6.81 + t^6.905 + 2*t^6.948 + 2*t^6.991 + t^7.035 + 2*t^7.129 + 2*t^7.172 + 2*t^7.216 + t^7.31 + 2*t^7.353 + t^7.397 + t^7.491 + 3*t^7.534 + 3*t^7.578 + 2*t^7.716 + 2*t^7.759 + t^7.802 + t^7.897 + 2*t^7.94 + t^7.983 + t^8.078 + 2*t^8.121 + 2*t^8.164 + t^8.207 - t^8.345 + t^8.483 + 2*t^8.569 + t^8.664 + t^8.75 + t^8.793 + t^8.845 - t^8.888 + 3*t^8.931 + t^8.974 - t^4.353/y - t^6.655/y - t^6.698/y - t^7.06/y + (2*t^7.647)/y + t^7.828/y + t^7.871/y + (2*t^8.009)/y + (2*t^8.052)/y + t^8.19/y + (2*t^8.233)/y + (2*t^8.414)/y + t^8.457/y + t^8.595/y + t^8.638/y + t^8.776/y + (2*t^8.819)/y - t^8.957/y - t^4.353*y - t^6.655*y - t^6.698*y - t^7.06*y + 2*t^7.647*y + t^7.828*y + t^7.871*y + 2*t^8.009*y + 2*t^8.052*y + t^8.19*y + 2*t^8.233*y + 2*t^8.414*y + t^8.457*y + t^8.595*y + t^8.638*y + t^8.776*y + 2*t^8.819*y - t^8.957*y | t^2.302/g1^30 + g1^32*t^2.345 + g1^14*t^2.526 + t^2.707/g1^4 + t^2.888/g1^22 + g1^22*t^3.112 + t^3.474/g1^14 + g1^12*t^3.879 + t^4.06/g1^6 + g1^56*t^4.103 + t^4.241/g1^24 + g1^20*t^4.466 + t^4.603/g1^60 + g1^2*t^4.647 + g1^64*t^4.69 + (2*t^4.828)/g1^16 + g1^46*t^4.871 + t^5.009/g1^34 + 2*g1^28*t^5.052 + t^5.19/g1^52 + 2*g1^10*t^5.233 + (2*t^5.414)/g1^8 + g1^54*t^5.457 + t^5.595/g1^26 + t^5.776/g1^44 + 2*g1^18*t^5.819 - t^6. + t^6.181/g1^18 + g1^44*t^6.224 + t^6.362/g1^36 + 2*g1^26*t^6.405 + g1^88*t^6.448 + t^6.543/g1^54 + g1^8*t^6.586 + g1^70*t^6.629 + t^6.767/g1^10 + 2*g1^52*t^6.81 + t^6.905/g1^90 + (2*t^6.948)/g1^28 + 2*g1^34*t^6.991 + g1^96*t^7.035 + (2*t^7.129)/g1^46 + 2*g1^16*t^7.172 + 2*g1^78*t^7.216 + t^7.31/g1^64 + (2*t^7.353)/g1^2 + g1^60*t^7.397 + t^7.491/g1^82 + (3*t^7.534)/g1^20 + 3*g1^42*t^7.578 + (2*t^7.716)/g1^38 + 2*g1^24*t^7.759 + g1^86*t^7.802 + t^7.897/g1^56 + 2*g1^6*t^7.94 + g1^68*t^7.983 + t^8.078/g1^74 + (2*t^8.121)/g1^12 + 2*g1^50*t^8.164 + g1^112*t^8.207 - g1^32*t^8.345 + t^8.483/g1^48 + 2*g1^76*t^8.569 + t^8.664/g1^66 + g1^58*t^8.75 + g1^120*t^8.793 + t^8.845/g1^84 - t^8.888/g1^22 + 3*g1^40*t^8.931 + g1^102*t^8.974 - t^4.353/(g1^2*y) - t^6.655/(g1^32*y) - (g1^30*t^6.698)/y - t^7.06/(g1^6*y) + (2*g1^2*t^7.647)/y + t^7.828/(g1^16*y) + (g1^46*t^7.871)/y + (2*t^8.009)/(g1^34*y) + (2*g1^28*t^8.052)/y + t^8.19/(g1^52*y) + (2*g1^10*t^8.233)/y + (2*t^8.414)/(g1^8*y) + (g1^54*t^8.457)/y + t^8.595/(g1^26*y) + (g1^36*t^8.638)/y + t^8.776/(g1^44*y) + (2*g1^18*t^8.819)/y - t^8.957/(g1^62*y) - (t^4.353*y)/g1^2 - (t^6.655*y)/g1^32 - g1^30*t^6.698*y - (t^7.06*y)/g1^6 + 2*g1^2*t^7.647*y + (t^7.828*y)/g1^16 + g1^46*t^7.871*y + (2*t^8.009*y)/g1^34 + 2*g1^28*t^8.052*y + (t^8.19*y)/g1^52 + 2*g1^10*t^8.233*y + (2*t^8.414*y)/g1^8 + g1^54*t^8.457*y + (t^8.595*y)/g1^26 + g1^36*t^8.638*y + (t^8.776*y)/g1^44 + 2*g1^18*t^8.819*y - (t^8.957*y)/g1^62 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2668 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6793 | 0.8476 | 0.8014 | [M:[1.0215, 0.7889, 0.9785, 0.8319, 1.1681, 0.7585, 1.0215], q:[0.5841, 0.3944], qb:[0.4374, 0.7737], phi:[0.4526]] | t^2.276 + t^2.367 + t^2.496 + t^2.716 + 2*t^3.064 + t^3.504 + t^3.853 + t^3.982 + t^4.073 + t^4.293 + t^4.422 + t^4.551 + t^4.642 + t^4.733 + t^4.771 + 2*t^4.862 + 2*t^4.991 + t^5.082 + t^5.211 + 2*t^5.34 + 2*t^5.431 + t^5.56 + 3*t^5.78 - 2*t^6. - t^4.358/y - t^4.358*y | detail | |
| 2671 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ | 0.6959 | 0.8755 | 0.7948 | [M:[1.0296, 0.7778, 0.9704, 0.837, 1.163, 0.7703, 0.837], q:[0.5815, 0.3889], qb:[0.4481, 0.7741], phi:[0.4519]] | t^2.311 + t^2.333 + 2*t^2.511 + t^2.711 + t^2.911 + t^3.089 + t^3.867 + t^4.044 + t^4.067 + t^4.267 + t^4.444 + t^4.622 + t^4.644 + t^4.667 + 2*t^4.822 + 3*t^4.845 + 4*t^5.022 + t^5.045 + 3*t^5.222 + t^5.245 + t^5.4 + 3*t^5.422 + t^5.6 + t^5.622 + t^5.8 - 2*t^6. - t^4.356/y - t^4.356*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 |
|---|---|---|---|---|---|---|---|---|---|
| 983 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ | 0.6651 | 0.8215 | 0.8096 | [M:[1.0528, 0.7461, 0.9472, 0.8518, 1.1482], q:[0.5741, 0.3731], qb:[0.4788, 0.7751], phi:[0.4497]] | t^2.238 + t^2.555 + t^2.698 + t^2.841 + t^3.159 + t^3.445 + t^3.588 + t^3.905 + t^4.048 + t^4.191 + t^4.222 + t^4.477 + t^4.508 + 2*t^4.794 + t^4.937 + t^5.08 + t^5.111 + t^5.254 + 2*t^5.397 + t^5.54 + t^5.683 + t^5.826 + t^5.857 - t^6. - t^4.349/y - t^4.349*y | detail |