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 |
|---|---|---|---|---|---|---|---|---|---|
| 55824 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6219 | 0.784 | 0.7932 | [X:[1.3657], M:[1.1219, 0.9594, 0.6343, 0.7968, 1.0406, 0.6828], q:[0.2602, 0.618], qb:[0.7805, 0.5852], phi:[0.4391]] | [X:[[36]], M:[[12], [-4], [-36], [-20], [4], [18]], q:[[1], [-13]], qb:[[3], [33]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.049 + t^2.391 + t^2.536 + t^2.634 + t^2.878 + t^3.122 + t^3.366 + t^3.853 + 2*t^4.097 + t^4.195 + t^4.439 + t^4.585 + t^4.683 + t^4.781 + t^4.828 + 2*t^4.927 + t^5.025 + t^5.072 + 2*t^5.17 + 2*t^5.269 + 2*t^5.414 + 2*t^5.512 + t^5.658 + 2*t^5.756 + t^5.902 - t^6. - t^6.098 + 2*t^6.146 + 2*t^6.244 - t^6.342 + t^6.389 + 2*t^6.488 + 2*t^6.633 + 3*t^6.731 + t^6.83 + t^6.877 + 2*t^6.975 + t^7.121 + t^7.172 + 3*t^7.219 + t^7.317 + t^7.364 + 4*t^7.463 + 2*t^7.561 + t^7.608 + 2*t^7.659 + 3*t^7.706 + 2*t^7.805 + 2*t^7.903 + 3*t^7.95 + t^8.147 + 4*t^8.194 + 3*t^8.292 - t^8.391 + t^8.438 - t^8.634 + 3*t^8.682 - 2*t^8.733 + 2*t^8.78 - 2*t^8.878 + 3*t^8.925 - t^8.976 - t^4.317/y - t^6.366/y - t^6.708/y + t^7.439/y + t^7.585/y + t^7.683/y + (3*t^7.927)/y + t^8.025/y + (2*t^8.17)/y + (2*t^8.269)/y + t^8.414/y + (2*t^8.512)/y + t^8.658/y + t^8.756/y + (2*t^8.902)/y - t^4.317*y - t^6.366*y - t^6.708*y + t^7.439*y + t^7.585*y + t^7.683*y + 3*t^7.927*y + t^8.025*y + 2*t^8.17*y + 2*t^8.269*y + t^8.414*y + 2*t^8.512*y + t^8.658*y + t^8.756*y + 2*t^8.902*y | g1^18*t^2.049 + t^2.391/g1^20 + g1^34*t^2.536 + t^2.634/g1^12 + t^2.878/g1^4 + g1^4*t^3.122 + g1^12*t^3.366 + g1^28*t^3.853 + 2*g1^36*t^4.097 + t^4.195/g1^10 + t^4.439/g1^2 + g1^52*t^4.585 + g1^6*t^4.683 + t^4.781/g1^40 + g1^60*t^4.828 + 2*g1^14*t^4.927 + t^5.025/g1^32 + g1^68*t^5.072 + 2*g1^22*t^5.17 + (2*t^5.269)/g1^24 + 2*g1^30*t^5.414 + (2*t^5.512)/g1^16 + g1^38*t^5.658 + (2*t^5.756)/g1^8 + g1^46*t^5.902 - t^6. - t^6.098/g1^46 + 2*g1^54*t^6.146 + 2*g1^8*t^6.244 - t^6.342/g1^38 + g1^62*t^6.389 + 2*g1^16*t^6.488 + 2*g1^70*t^6.633 + 3*g1^24*t^6.731 + t^6.83/g1^22 + g1^78*t^6.877 + 2*g1^32*t^6.975 + g1^86*t^7.121 + t^7.172/g1^60 + 3*g1^40*t^7.219 + t^7.317/g1^6 + g1^94*t^7.364 + 4*g1^48*t^7.463 + 2*g1^2*t^7.561 + g1^102*t^7.608 + (2*t^7.659)/g1^44 + 3*g1^56*t^7.706 + 2*g1^10*t^7.805 + (2*t^7.903)/g1^36 + 3*g1^64*t^7.95 + t^8.147/g1^28 + 4*g1^72*t^8.194 + 3*g1^26*t^8.292 - t^8.391/g1^20 + g1^80*t^8.438 - t^8.634/g1^12 + 3*g1^88*t^8.682 - (2*t^8.733)/g1^58 + 2*g1^42*t^8.78 - (2*t^8.878)/g1^4 + 3*g1^96*t^8.925 - t^8.976/g1^50 - t^4.317/(g1^6*y) - (g1^12*t^6.366)/y - t^6.708/(g1^26*y) + t^7.439/(g1^2*y) + (g1^52*t^7.585)/y + (g1^6*t^7.683)/y + (3*g1^14*t^7.927)/y + t^8.025/(g1^32*y) + (2*g1^22*t^8.17)/y + (2*t^8.269)/(g1^24*y) + (g1^30*t^8.414)/y + (2*t^8.512)/(g1^16*y) + (g1^38*t^8.658)/y + t^8.756/(g1^8*y) + (2*g1^46*t^8.902)/y - (t^4.317*y)/g1^6 - g1^12*t^6.366*y - (t^6.708*y)/g1^26 + (t^7.439*y)/g1^2 + g1^52*t^7.585*y + g1^6*t^7.683*y + 3*g1^14*t^7.927*y + (t^8.025*y)/g1^32 + 2*g1^22*t^8.17*y + (2*t^8.269*y)/g1^24 + g1^30*t^8.414*y + (2*t^8.512*y)/g1^16 + g1^38*t^8.658*y + (t^8.756*y)/g1^8 + 2*g1^46*t^8.902*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 |
|---|---|---|---|---|---|---|---|---|
| 57542 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ | 0.633 | 0.802 | 0.7894 | [X:[1.3821], M:[1.1274, 0.9575, 0.6179, 0.7877, 1.0425, 0.691, 0.8726], q:[0.2606, 0.612], qb:[0.7818, 0.6002], phi:[0.4363]] | t^2.073 + t^2.363 + t^2.583 + 2*t^2.618 + t^2.873 + t^3.127 + t^3.891 + 2*t^4.146 + t^4.182 + t^4.436 + t^4.656 + 2*t^4.691 + t^4.726 + t^4.91 + 2*t^4.946 + 2*t^4.981 + t^5.165 + 3*t^5.2 + 4*t^5.236 + t^5.455 + 3*t^5.491 + t^5.71 + 2*t^5.745 - 2*t^6. - t^4.309/y - t^4.309*y | detail | |
| 57539 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6214 | 0.7817 | 0.7949 | [X:[1.3913], M:[1.1304, 0.9565, 0.6087, 0.7826, 1.0435, 0.6957], q:[0.2609, 0.6087], qb:[0.7826, 0.6087], phi:[0.4348]] | t^2.087 + t^2.348 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + t^3.913 + 3*t^4.174 + t^4.435 + 3*t^4.696 + 4*t^4.957 + 5*t^5.217 + 4*t^5.478 + 3*t^5.739 - t^6. - t^4.304/y - t^4.304*y | detail | {a: 120963/194672, c: 76087/97336, X1: 32/23, M1: 26/23, M2: 22/23, M3: 14/23, M4: 18/23, M5: 24/23, M6: 16/23, q1: 6/23, q2: 14/23, qb1: 18/23, qb2: 14/23, phi1: 10/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47113 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}X_{1}$ | 0.6011 | 0.7433 | 0.8087 | [X:[1.3686], M:[1.1229, 0.959, 0.6314, 0.7952, 1.041], q:[0.2602, 0.6169], qb:[0.7807, 0.5879], phi:[0.4386]] | t^2.386 + t^2.544 + t^2.631 + t^2.877 + t^3.123 + t^3.369 + t^3.86 + t^3.947 + t^4.106 + t^4.193 + t^4.771 + t^4.843 + t^4.93 + t^5.017 + t^5.089 + t^5.176 + 2*t^5.263 + t^5.422 + 2*t^5.509 + t^5.667 + 2*t^5.754 - t^6. - t^4.316/y - t^4.316*y | detail |