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 |
|---|---|---|---|---|---|---|---|---|---|
| 1089 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.7031 | 0.883 | 0.7963 | [M:[1.0063, 1.1227, 0.9418, 0.684, 0.7484, 0.8129], q:[0.7807, 0.4064], qb:[0.5873, 0.4709], phi:[0.4387]] | [M:[[32], [-12], [22], [-18], [-8], [2]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 | {a: 2701375/3841992, c: 424037/480249, M1: 2092/2079, M2: 778/693, M3: 178/189, M4: 158/231, M5: 1556/2079, M6: 1690/2079, q1: 541/693, q2: 845/2079, qb1: 37/63, qb2: 89/189, phi1: 304/693} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$ | ${}$ | -1 | t^2.052 + t^2.245 + t^2.439 + t^2.632 + t^2.825 + t^3.019 + t^3.368 + t^3.755 + 2*t^4.104 + t^4.141 + 2*t^4.297 + 3*t^4.491 + 2*t^4.684 + t^4.84 + 3*t^4.877 + 3*t^5.071 + 3*t^5.264 + t^5.42 + t^5.457 + t^5.613 + t^5.651 + t^5.807 + t^5.844 - t^6. + t^6.038 + 2*t^6.156 + t^6.193 + 2*t^6.349 + 2*t^6.387 + 4*t^6.543 + t^6.58 + 5*t^6.736 + t^6.773 + t^6.892 + 5*t^6.929 + t^7.085 + 5*t^7.123 + t^7.16 + t^7.278 + 5*t^7.316 + 2*t^7.472 + 5*t^7.509 + t^7.665 + 3*t^7.703 + 2*t^7.859 + 4*t^7.896 - 2*t^8.052 + 3*t^8.089 + 3*t^8.208 - t^8.245 + 3*t^8.283 + 2*t^8.401 - 2*t^8.439 + 2*t^8.476 + 5*t^8.595 + t^8.632 + t^8.67 + 4*t^8.788 - 2*t^8.825 + t^8.863 + 2*t^8.944 + 8*t^8.981 - t^4.316/y - t^6.368/y - t^6.561/y - t^6.755/y - t^7.141/y + (2*t^7.297)/y - t^7.335/y + (2*t^7.491)/y + (2*t^7.684)/y + (3*t^7.877)/y + (4*t^8.071)/y + (3*t^8.264)/y + (2*t^8.457)/y + t^8.651/y + t^8.844/y - t^4.316*y - t^6.368*y - t^6.561*y - t^6.755*y - t^7.141*y + 2*t^7.297*y - t^7.335*y + 2*t^7.491*y + 2*t^7.684*y + 3*t^7.877*y + 4*t^8.071*y + 3*t^8.264*y + 2*t^8.457*y + t^8.651*y + t^8.844*y | t^2.052/g1^18 + t^2.245/g1^8 + g1^2*t^2.439 + g1^12*t^2.632 + g1^22*t^2.825 + g1^32*t^3.019 + t^3.368/g1^12 + g1^8*t^3.755 + (2*t^4.104)/g1^36 + g1^28*t^4.141 + (2*t^4.297)/g1^26 + (3*t^4.491)/g1^16 + (2*t^4.684)/g1^6 + t^4.84/g1^60 + 3*g1^4*t^4.877 + 3*g1^14*t^5.071 + 3*g1^24*t^5.264 + t^5.42/g1^30 + g1^34*t^5.457 + t^5.613/g1^20 + g1^44*t^5.651 + t^5.807/g1^10 + g1^54*t^5.844 - t^6. + g1^64*t^6.038 + (2*t^6.156)/g1^54 + g1^10*t^6.193 + (2*t^6.349)/g1^44 + 2*g1^20*t^6.387 + (4*t^6.543)/g1^34 + g1^30*t^6.58 + (5*t^6.736)/g1^24 + g1^40*t^6.773 + t^6.892/g1^78 + (5*t^6.929)/g1^14 + t^7.085/g1^68 + (5*t^7.123)/g1^4 + g1^60*t^7.16 + t^7.278/g1^58 + 5*g1^6*t^7.316 + (2*t^7.472)/g1^48 + 5*g1^16*t^7.509 + t^7.665/g1^38 + 3*g1^26*t^7.703 + (2*t^7.859)/g1^28 + 4*g1^36*t^7.896 - (2*t^8.052)/g1^18 + 3*g1^46*t^8.089 + (3*t^8.208)/g1^72 - t^8.245/g1^8 + 3*g1^56*t^8.283 + (2*t^8.401)/g1^62 - 2*g1^2*t^8.439 + 2*g1^66*t^8.476 + (5*t^8.595)/g1^52 + g1^12*t^8.632 + g1^76*t^8.67 + (4*t^8.788)/g1^42 - 2*g1^22*t^8.825 + g1^86*t^8.863 + (2*t^8.944)/g1^96 + (8*t^8.981)/g1^32 - (g1^6*t^4.316)/y - t^6.368/(g1^12*y) - t^6.561/(g1^2*y) - (g1^8*t^6.755)/y - (g1^28*t^7.141)/y + (2*t^7.297)/(g1^26*y) - (g1^38*t^7.335)/y + (2*t^7.491)/(g1^16*y) + (2*t^7.684)/(g1^6*y) + (3*g1^4*t^7.877)/y + (4*g1^14*t^8.071)/y + (3*g1^24*t^8.264)/y + (2*g1^34*t^8.457)/y + (g1^44*t^8.651)/y + (g1^54*t^8.844)/y - g1^6*t^4.316*y - (t^6.368*y)/g1^12 - (t^6.561*y)/g1^2 - g1^8*t^6.755*y - g1^28*t^7.141*y + (2*t^7.297*y)/g1^26 - g1^38*t^7.335*y + (2*t^7.491*y)/g1^16 + (2*t^7.684*y)/g1^6 + 3*g1^4*t^7.877*y + 4*g1^14*t^8.071*y + 3*g1^24*t^8.264*y + 2*g1^34*t^8.457*y + g1^44*t^8.651*y + g1^54*t^8.844*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 |
|---|---|---|---|---|---|---|---|---|
| 1691 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}X_{1}$ | 0.6779 | 0.8353 | 0.8115 | [X:[1.3337], M:[1.0377, 1.1109, 0.9634, 0.6663, 0.7406, 0.8149, 1.0366], q:[0.7777, 0.4074], qb:[0.5549, 0.4817], phi:[0.4446]] | t^2.222 + t^2.445 + t^2.667 + t^3.11 + t^3.113 + t^3.333 + t^3.778 + t^3.998 + t^4.001 + t^4.221 + t^4.224 + 2*t^4.444 + t^4.663 + t^4.666 + 2*t^4.889 + t^5.112 + t^5.332 + 2*t^5.335 + 2*t^5.554 + t^5.777 - t^6. - t^4.334/y - t^4.334*y | detail | |
| 1692 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{4}M_{7}$ | 0.6824 | 0.8425 | 0.8099 | [M:[1.0033, 1.1237, 0.9398, 0.6856, 0.7492, 0.8127, 1.3144], q:[0.7809, 0.4064], qb:[0.5903, 0.4699], phi:[0.4381]] | t^2.247 + t^2.438 + t^2.629 + t^2.819 + t^3.01 + t^3.371 + t^3.753 + t^3.943 + t^4.114 + t^4.134 + t^4.304 + 2*t^4.495 + t^4.686 + t^4.856 + 2*t^4.876 + 2*t^5.067 + 3*t^5.258 + t^5.448 + t^5.619 + t^5.639 + t^5.829 - t^6. - t^4.314/y - t^4.314*y | detail | |
| 1693 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7222 | 0.918 | 0.7868 | [M:[1.0112, 1.1208, 0.9452, 0.6812, 0.7472, 0.8132, 0.7472], q:[0.7802, 0.4066], qb:[0.5822, 0.4726], phi:[0.4396]] | t^2.044 + 2*t^2.242 + t^2.44 + t^2.638 + t^2.836 + t^3.034 + t^3.362 + 2*t^4.087 + t^4.154 + 3*t^4.285 + 5*t^4.483 + 3*t^4.681 + t^4.812 + 4*t^4.879 + 4*t^5.077 + 4*t^5.275 + t^5.406 + t^5.473 + 2*t^5.604 + t^5.671 + t^5.869 - 2*t^6. - t^4.319/y - t^4.319*y | detail | {a: 154491721/213903408, c: 98181703/106951704, M1: 6404/6333, M2: 2366/2111, M3: 5986/6333, M4: 1438/2111, M5: 4732/6333, M6: 5150/6333, M7: 4732/6333, q1: 1647/2111, q2: 2575/6333, qb1: 1229/2111, qb2: 2993/6333, phi1: 928/2111} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 677 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6874 | 0.8556 | 0.8034 | [M:[1.0083, 1.1219, 0.9432, 0.6829, 0.7479], q:[0.7805, 0.4065], qb:[0.5852, 0.4716], phi:[0.439]] | t^2.049 + t^2.244 + t^2.634 + t^2.83 + t^3.025 + t^3.366 + t^3.561 + t^3.756 + 2*t^4.097 + t^4.147 + 2*t^4.292 + 2*t^4.488 + t^4.683 + t^4.829 + 2*t^4.878 + 2*t^5.073 + 2*t^5.269 + t^5.414 + 2*t^5.61 + t^5.659 + t^5.805 + t^5.854 - t^6. - t^4.317/y - t^4.317*y | detail | {a: 570746539/830269488, c: 355196641/415134744, M1: 12580/12477, M2: 4666/4159, M3: 11768/12477, M4: 2840/4159, M5: 9332/12477, q1: 3246/4159, q2: 5072/12477, qb1: 2434/4159, qb2: 5884/12477, phi1: 1826/4159} |