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 |
|---|---|---|---|---|---|---|---|---|---|
| 2518 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6668 | 0.8443 | 0.7898 | [M:[1.0464, 0.8776, 1.1224, 0.8017, 1.1983, 0.7258, 0.7932], q:[0.5147, 0.4388], qb:[0.3629, 0.7595], phi:[0.481]] | [M:[[-38], [14], [-14], [-10], [10], [-34], [40]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{7}$ | ${}$ | -1 | t^2.177 + t^2.38 + t^2.405 + t^2.633 + t^2.886 + t^3.139 + t^3.367 + t^3.595 + t^3.848 + 2*t^4.076 + t^4.304 + t^4.355 + t^4.532 + t^4.557 + t^4.582 + t^4.759 + t^4.785 + 2*t^4.81 + t^5.013 + t^5.038 + t^5.063 + 2*t^5.266 + t^5.291 + t^5.317 + 2*t^5.519 + t^5.544 + t^5.747 + 2*t^5.772 + t^5.975 - t^6. + 2*t^6.025 - t^6.228 + 3*t^6.253 + t^6.279 + t^6.456 + 3*t^6.481 + t^6.506 + t^6.532 + t^6.683 + 2*t^6.709 + 2*t^6.734 + t^6.76 + t^6.911 + 2*t^6.937 + 2*t^6.962 + 2*t^6.987 + t^7.139 + 2*t^7.164 + t^7.19 + 2*t^7.215 + t^7.241 + t^7.392 + t^7.418 + 3*t^7.443 + t^7.468 + t^7.494 + t^7.645 + 2*t^7.671 + 3*t^7.696 + t^7.722 + 2*t^7.899 + 2*t^7.924 + 2*t^7.95 + t^8.126 + 4*t^8.152 - t^8.177 + 2*t^8.203 + t^8.354 - t^8.405 + 3*t^8.431 + t^8.456 + t^8.607 - 2*t^8.633 + 5*t^8.658 + t^8.684 + t^8.709 + 2*t^8.835 + 2*t^8.886 + 3*t^8.912 + t^8.937 - t^4.443/y - t^6.62/y - t^6.823/y + t^7.304/y - t^7.329/y + (2*t^7.557)/y + t^7.785/y + t^7.81/y + t^8.013/y + t^8.038/y + (2*t^8.063)/y + (2*t^8.266)/y + t^8.291/y + t^8.317/y + (2*t^8.519)/y + (2*t^8.544)/y + t^8.747/y + (3*t^8.772)/y - t^8.798/y + t^8.975/y - t^4.443*y - t^6.62*y - t^6.823*y + t^7.304*y - t^7.329*y + 2*t^7.557*y + t^7.785*y + t^7.81*y + t^8.013*y + t^8.038*y + 2*t^8.063*y + 2*t^8.266*y + t^8.291*y + t^8.317*y + 2*t^8.519*y + 2*t^8.544*y + t^8.747*y + 3*t^8.772*y - t^8.798*y + t^8.975*y | t^2.177/g1^34 + g1^40*t^2.38 + t^2.405/g1^10 + g1^14*t^2.633 + t^2.886/g1^12 + t^3.139/g1^38 + t^3.367/g1^14 + g1^10*t^3.595 + t^3.848/g1^16 + 2*g1^8*t^4.076 + g1^32*t^4.304 + t^4.355/g1^68 + g1^56*t^4.532 + g1^6*t^4.557 + t^4.582/g1^44 + g1^80*t^4.759 + g1^30*t^4.785 + (2*t^4.81)/g1^20 + g1^54*t^5.013 + g1^4*t^5.038 + t^5.063/g1^46 + 2*g1^28*t^5.266 + t^5.291/g1^22 + t^5.317/g1^72 + 2*g1^2*t^5.519 + t^5.544/g1^48 + g1^26*t^5.747 + (2*t^5.772)/g1^24 + g1^50*t^5.975 - t^6. + (2*t^6.025)/g1^50 - g1^24*t^6.228 + (3*t^6.253)/g1^26 + t^6.279/g1^76 + g1^48*t^6.456 + (3*t^6.481)/g1^2 + t^6.506/g1^52 + t^6.532/g1^102 + g1^72*t^6.683 + 2*g1^22*t^6.709 + (2*t^6.734)/g1^28 + t^6.76/g1^78 + g1^96*t^6.911 + 2*g1^46*t^6.937 + (2*t^6.962)/g1^4 + (2*t^6.987)/g1^54 + g1^120*t^7.139 + 2*g1^70*t^7.164 + g1^20*t^7.19 + (2*t^7.215)/g1^30 + t^7.241/g1^80 + g1^94*t^7.392 + g1^44*t^7.418 + (3*t^7.443)/g1^6 + t^7.468/g1^56 + t^7.494/g1^106 + g1^68*t^7.645 + 2*g1^18*t^7.671 + (3*t^7.696)/g1^32 + t^7.722/g1^82 + 2*g1^42*t^7.899 + (2*t^7.924)/g1^8 + (2*t^7.95)/g1^58 + g1^66*t^8.126 + 4*g1^16*t^8.152 - t^8.177/g1^34 + (2*t^8.203)/g1^84 + g1^90*t^8.354 - t^8.405/g1^10 + (3*t^8.431)/g1^60 + t^8.456/g1^110 + g1^64*t^8.607 - 2*g1^14*t^8.633 + (5*t^8.658)/g1^36 + t^8.684/g1^86 + t^8.709/g1^136 + 2*g1^88*t^8.835 + (2*t^8.886)/g1^12 + (3*t^8.912)/g1^62 + t^8.937/g1^112 - t^4.443/(g1^6*y) - t^6.62/(g1^40*y) - (g1^34*t^6.823)/y + (g1^32*t^7.304)/y - t^7.329/(g1^18*y) + (2*g1^6*t^7.557)/y + (g1^30*t^7.785)/y + t^7.81/(g1^20*y) + (g1^54*t^8.013)/y + (g1^4*t^8.038)/y + (2*t^8.063)/(g1^46*y) + (2*g1^28*t^8.266)/y + t^8.291/(g1^22*y) + t^8.317/(g1^72*y) + (2*g1^2*t^8.519)/y + (2*t^8.544)/(g1^48*y) + (g1^26*t^8.747)/y + (3*t^8.772)/(g1^24*y) - t^8.798/(g1^74*y) + (g1^50*t^8.975)/y - (t^4.443*y)/g1^6 - (t^6.62*y)/g1^40 - g1^34*t^6.823*y + g1^32*t^7.304*y - (t^7.329*y)/g1^18 + 2*g1^6*t^7.557*y + g1^30*t^7.785*y + (t^7.81*y)/g1^20 + g1^54*t^8.013*y + g1^4*t^8.038*y + (2*t^8.063*y)/g1^46 + 2*g1^28*t^8.266*y + (t^8.291*y)/g1^22 + (t^8.317*y)/g1^72 + 2*g1^2*t^8.519*y + (2*t^8.544*y)/g1^48 + g1^26*t^8.747*y + (3*t^8.772*y)/g1^24 - (t^8.798*y)/g1^74 + g1^50*t^8.975*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 |
|---|---|---|---|---|---|---|---|---|
| 4578 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{6}X_{1}$ | 0.5917 | 0.7398 | 0.7998 | [X:[1.4815], M:[0.8148, 0.963, 1.037, 0.7407, 1.2593, 0.5185, 1.037], q:[0.7037, 0.4815], qb:[0.2593, 0.7778], phi:[0.4444]] | t^2.222 + t^2.444 + t^2.667 + t^2.889 + 2*t^3.111 + t^3.556 + t^3.778 + 2*t^4.222 + 2*t^4.444 + 3*t^4.889 + 2*t^5.111 + 2*t^5.333 + 4*t^5.556 + 3*t^5.778 - t^4.333/y - t^4.333*y | detail | {a: 1294/2187, c: 1618/2187, X1: 40/27, M1: 22/27, M2: 26/27, M3: 28/27, M4: 20/27, M5: 34/27, M6: 14/27, M7: 28/27, q1: 19/27, q2: 13/27, qb1: 7/27, qb2: 7/9, phi1: 4/9} |
| 4577 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}^{2}$ + ${ }M_{6}X_{1}$ | 0.606 | 0.756 | 0.8016 | [X:[1.45], M:[0.85, 0.95, 1.05, 0.75, 1.25, 0.55, 1.0], q:[0.675, 0.475], qb:[0.275, 0.775], phi:[0.45]] | t^2.25 + t^2.55 + t^2.7 + t^2.85 + t^3. + t^3.15 + t^3.6 + t^3.75 + 2*t^4.2 + t^4.35 + t^4.5 + t^4.8 + t^4.95 + 2*t^5.1 + 2*t^5.25 + 2*t^5.4 + 2*t^5.55 + 3*t^5.7 + 2*t^5.85 - t^4.35/y - t^4.35*y | detail | {a: 38781/64000, c: 48381/64000, X1: 29/20, M1: 17/20, M2: 19/20, M3: 21/20, M4: 3/4, M5: 5/4, M6: 11/20, M7: 1, q1: 27/40, q2: 19/40, qb1: 11/40, qb2: 31/40, phi1: 9/20} |
| 4579 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.687 | 0.8822 | 0.7787 | [M:[1.051, 0.8759, 1.1241, 0.8029, 1.1971, 0.7299, 0.7884, 0.7154], q:[0.511, 0.438], qb:[0.3649, 0.7591], phi:[0.4817]] | t^2.146 + t^2.19 + t^2.365 + t^2.409 + t^2.628 + t^2.89 + t^3.153 + t^3.372 + t^3.591 + 2*t^4.073 + 2*t^4.292 + t^4.336 + t^4.379 + 2*t^4.511 + 2*t^4.555 + t^4.598 + t^4.73 + 2*t^4.774 + 2*t^4.817 + t^4.993 + 2*t^5.037 + t^5.08 + 2*t^5.256 + 2*t^5.299 + t^5.343 + 3*t^5.518 + t^5.562 + 2*t^5.737 + 2*t^5.781 + t^5.956 - t^6. - t^4.445/y - t^4.445*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1455 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7342 | 0.9219 | 0.7964 | [M:[0.847, 1.0534, 0.9466, 0.9538, 1.0462, 0.8541, 0.6708], q:[0.6263, 0.5267], qb:[0.4271, 0.5195], phi:[0.4751]] | t^2.012 + t^2.541 + t^2.562 + t^2.84 + t^2.851 + t^2.861 + t^3.139 + t^3.16 + t^4.025 + t^4.265 + t^4.287 + t^4.543 + t^4.553 + t^4.564 + t^4.575 + 2*t^4.585 + t^4.852 + 2*t^4.863 + t^4.874 + t^4.884 + t^5.082 + t^5.103 + t^5.125 + t^5.151 + t^5.173 + t^5.183 + t^5.381 + t^5.391 + t^5.402 + t^5.413 + t^5.424 + t^5.68 + t^5.69 + 2*t^5.701 + t^5.712 + t^5.723 + t^5.989 - 2*t^6. - t^4.425/y - t^4.425*y | detail |