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 |
|---|---|---|---|---|---|---|---|---|---|
| 3266 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$ | 0.604 | 0.7795 | 0.7748 | [M:[0.9521, 1.1437, 0.7155, 0.8563, 1.1437], q:[0.738, 0.3099], qb:[0.4507, 0.4056], phi:[0.5239]] | [M:[[-4], [12], [18], [-12], [12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 2*t^2.147 + t^2.282 + t^2.856 + t^3.144 + 3*t^3.431 + t^3.566 + t^3.718 + t^4.006 + t^4.141 + t^4.276 + 3*t^4.293 + 2*t^4.428 + t^4.563 + 2*t^5.003 + t^5.138 + 2*t^5.29 + t^5.425 + 5*t^5.578 + 4*t^5.713 + t^5.848 + t^5.865 - 2*t^6. - t^6.135 + 2*t^6.152 + 3*t^6.287 + 2*t^6.422 + 4*t^6.44 + t^6.558 + 5*t^6.575 + t^6.71 + t^6.845 + 5*t^6.862 + t^6.997 + t^7.132 + 5*t^7.149 + t^7.42 + 5*t^7.437 + t^7.572 + 2*t^7.707 + 8*t^7.724 + t^7.842 + 4*t^7.859 + 2*t^7.994 + 2*t^8.011 + t^8.129 - 4*t^8.147 - 3*t^8.282 + 3*t^8.299 + 4*t^8.434 + t^8.552 + 3*t^8.569 + 5*t^8.586 + 2*t^8.704 + 6*t^8.721 + t^8.839 - t^8.856 - t^4.572/y - t^6.718/y + t^7.141/y + t^7.293/y + (2*t^7.428)/y + t^8.003/y + t^8.138/y + (2*t^8.29)/y + (2*t^8.425)/y + (6*t^8.578)/y + (5*t^8.713)/y + t^8.848/y + t^8.865/y - t^4.572*y - t^6.718*y + t^7.141*y + t^7.293*y + 2*t^7.428*y + t^8.003*y + t^8.138*y + 2*t^8.29*y + 2*t^8.425*y + 6*t^8.578*y + 5*t^8.713*y + t^8.848*y + t^8.865*y | 2*g1^18*t^2.147 + t^2.282/g1^20 + t^2.856/g1^4 + g1^4*t^3.144 + 3*g1^12*t^3.431 + t^3.566/g1^26 + g1^20*t^3.718 + g1^28*t^4.006 + t^4.141/g1^10 + t^4.276/g1^48 + 3*g1^36*t^4.293 + (2*t^4.428)/g1^2 + t^4.563/g1^40 + 2*g1^14*t^5.003 + t^5.138/g1^24 + 2*g1^22*t^5.29 + t^5.425/g1^16 + 5*g1^30*t^5.578 + (4*t^5.713)/g1^8 + t^5.848/g1^46 + g1^38*t^5.865 - 2*t^6. - t^6.135/g1^38 + 2*g1^46*t^6.152 + 3*g1^8*t^6.287 + (2*t^6.422)/g1^30 + 4*g1^54*t^6.44 + t^6.558/g1^68 + 5*g1^16*t^6.575 + t^6.71/g1^22 + t^6.845/g1^60 + 5*g1^24*t^6.862 + t^6.997/g1^14 + t^7.132/g1^52 + 5*g1^32*t^7.149 + t^7.42/g1^44 + 5*g1^40*t^7.437 + g1^2*t^7.572 + (2*t^7.707)/g1^36 + 8*g1^48*t^7.724 + t^7.842/g1^74 + 4*g1^10*t^7.859 + (2*t^7.994)/g1^28 + 2*g1^56*t^8.011 + t^8.129/g1^66 - 4*g1^18*t^8.147 - (3*t^8.282)/g1^20 + 3*g1^64*t^8.299 + 4*g1^26*t^8.434 + t^8.552/g1^96 + (3*t^8.569)/g1^12 + 5*g1^72*t^8.586 + (2*t^8.704)/g1^50 + 6*g1^34*t^8.721 + t^8.839/g1^88 - t^8.856/g1^4 - (g1^2*t^4.572)/y - (g1^20*t^6.718)/y + t^7.141/(g1^10*y) + (g1^36*t^7.293)/y + (2*t^7.428)/(g1^2*y) + (g1^14*t^8.003)/y + t^8.138/(g1^24*y) + (2*g1^22*t^8.29)/y + (2*t^8.425)/(g1^16*y) + (6*g1^30*t^8.578)/y + (5*t^8.713)/(g1^8*y) + t^8.848/(g1^46*y) + (g1^38*t^8.865)/y - g1^2*t^4.572*y - g1^20*t^6.718*y + (t^7.141*y)/g1^10 + g1^36*t^7.293*y + (2*t^7.428*y)/g1^2 + g1^14*t^8.003*y + (t^8.138*y)/g1^24 + 2*g1^22*t^8.29*y + (2*t^8.425*y)/g1^16 + 6*g1^30*t^8.578*y + (5*t^8.713*y)/g1^8 + (t^8.848*y)/g1^46 + g1^38*t^8.865*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 |
|---|---|---|---|---|---|---|---|---|
| 3687 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6205 | 0.8101 | 0.766 | [M:[0.9556, 1.1332, 0.6998, 0.8668, 1.1332, 0.7887], q:[0.7389, 0.3055], qb:[0.4724, 0.3943], phi:[0.5222]] | 2*t^2.1 + t^2.334 + t^2.366 + t^2.867 + t^3.133 + 3*t^3.4 + t^3.666 + t^3.933 + t^4.167 + 3*t^4.199 + t^4.401 + 2*t^4.433 + 2*t^4.465 + t^4.668 + t^4.7 + t^4.732 + 2*t^4.966 + t^5.201 + 3*t^5.233 + t^5.467 + 6*t^5.499 + 2*t^5.734 + 4*t^5.766 - 2*t^6. - t^4.567/y - t^4.567*y | detail | |
| 3692 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.603 | 0.7796 | 0.7734 | [M:[0.9565, 1.1304, 0.6957, 0.8696, 1.1304], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 2*t^2.087 + t^2.348 + t^2.87 + t^3.13 + 3*t^3.391 + 2*t^3.652 + t^3.913 + 4*t^4.174 + 3*t^4.435 + t^4.696 + 2*t^4.957 + 3*t^5.217 + 6*t^5.478 + 5*t^5.739 + t^6. - t^4.565/y - t^4.565*y | detail | {a: 117381/194672, c: 75883/97336, M1: 22/23, M2: 26/23, M3: 16/23, M4: 20/23, M5: 26/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2753 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.6169 | 0.8012 | 0.7699 | [M:[0.95, 1.15, 0.725, 0.85], q:[0.7375, 0.3125], qb:[0.4375, 0.4125], phi:[0.525]] | 2*t^2.175 + t^2.25 + t^2.55 + t^2.85 + t^3.15 + 2*t^3.45 + t^3.525 + t^3.75 + t^4.05 + t^4.125 + t^4.2 + 3*t^4.35 + 2*t^4.425 + t^4.5 + 2*t^4.725 + t^4.8 + 2*t^5.025 + 2*t^5.1 + 2*t^5.325 + 2*t^5.4 + 3*t^5.625 + 4*t^5.7 + t^5.775 + t^5.925 - t^4.575/y - t^4.575*y | detail |