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 |
|---|---|---|---|---|---|---|---|---|---|
| 3323 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6441 | 0.8475 | 0.76 | [M:[0.949, 1.153, 0.847, 0.7451, 0.8314, 0.847], q:[0.7373, 0.3137], qb:[0.4157, 0.4313], phi:[0.5255]] | [M:[[4], [-12], [12], [20], [-26], [12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$ | 0 | t^2.188 + 2*t^2.235 + t^2.494 + 2*t^2.541 + t^2.847 + t^3.153 + t^3.459 + t^3.812 + t^4.071 + t^4.118 + t^4.164 + t^4.377 + 2*t^4.424 + 3*t^4.47 + t^4.683 + 4*t^4.729 + 4*t^4.776 + t^4.988 + 3*t^5.035 + 5*t^5.082 + 2*t^5.341 + 4*t^5.388 + t^5.647 + 3*t^5.694 + t^6.047 + t^6.259 + 2*t^6.306 + 3*t^6.353 + 2*t^6.4 + 2*t^6.565 + 4*t^6.612 + 5*t^6.659 + 6*t^6.706 + t^6.871 + 3*t^6.918 + 6*t^6.965 + 6*t^7.012 + t^7.177 + 4*t^7.224 + 7*t^7.271 + 9*t^7.317 + t^7.483 + 3*t^7.53 + 5*t^7.576 + 10*t^7.623 + 2*t^7.836 + 3*t^7.882 + 6*t^7.929 + t^7.976 + t^8.141 + t^8.235 + 2*t^8.282 + t^8.329 + t^8.447 - 2*t^8.494 - t^8.541 + 3*t^8.588 + 3*t^8.635 + 2*t^8.753 + 3*t^8.8 + t^8.847 + 8*t^8.894 + 9*t^8.941 - t^4.576/y - t^6.812/y - t^7.071/y - t^7.118/y + (2*t^7.424)/y + t^7.47/y + t^7.683/y + (4*t^7.729)/y + (4*t^7.776)/y + (4*t^8.035)/y + (4*t^8.082)/y + (3*t^8.341)/y + (4*t^8.388)/y + (2*t^8.647)/y + (4*t^8.694)/y + t^8.953/y - t^4.576*y - t^6.812*y - t^7.071*y - t^7.118*y + 2*t^7.424*y + t^7.47*y + t^7.683*y + 4*t^7.729*y + 4*t^7.776*y + 4*t^8.035*y + 4*t^8.082*y + 3*t^8.341*y + 4*t^8.388*y + 2*t^8.647*y + 4*t^8.694*y + t^8.953*y | t^2.188/g1^18 + 2*g1^20*t^2.235 + t^2.494/g1^26 + 2*g1^12*t^2.541 + g1^4*t^2.847 + t^3.153/g1^4 + t^3.459/g1^12 + g1^18*t^3.812 + t^4.071/g1^28 + g1^10*t^4.118 + g1^48*t^4.164 + t^4.377/g1^36 + 2*g1^2*t^4.424 + 3*g1^40*t^4.47 + t^4.683/g1^44 + (4*t^4.729)/g1^6 + 4*g1^32*t^4.776 + t^4.988/g1^52 + (3*t^5.035)/g1^14 + 5*g1^24*t^5.082 + (2*t^5.341)/g1^22 + 4*g1^16*t^5.388 + t^5.647/g1^30 + 3*g1^8*t^5.694 + g1^38*t^6.047 + t^6.259/g1^46 + (2*t^6.306)/g1^8 + 3*g1^30*t^6.353 + 2*g1^68*t^6.4 + (2*t^6.565)/g1^54 + (4*t^6.612)/g1^16 + 5*g1^22*t^6.659 + 6*g1^60*t^6.706 + t^6.871/g1^62 + (3*t^6.918)/g1^24 + 6*g1^14*t^6.965 + 6*g1^52*t^7.012 + t^7.177/g1^70 + (4*t^7.224)/g1^32 + 7*g1^6*t^7.271 + 9*g1^44*t^7.317 + t^7.483/g1^78 + (3*t^7.53)/g1^40 + (5*t^7.576)/g1^2 + 10*g1^36*t^7.623 + (2*t^7.836)/g1^48 + (3*t^7.882)/g1^10 + 6*g1^28*t^7.929 + g1^66*t^7.976 + t^8.141/g1^56 + g1^20*t^8.235 + 2*g1^58*t^8.282 + g1^96*t^8.329 + t^8.447/g1^64 - (2*t^8.494)/g1^26 - g1^12*t^8.541 + 3*g1^50*t^8.588 + 3*g1^88*t^8.635 + (2*t^8.753)/g1^72 + (3*t^8.8)/g1^34 + g1^4*t^8.847 + 8*g1^42*t^8.894 + 9*g1^80*t^8.941 - t^4.576/(g1^2*y) - (g1^18*t^6.812)/y - t^7.071/(g1^28*y) - (g1^10*t^7.118)/y + (2*g1^2*t^7.424)/y + (g1^40*t^7.47)/y + t^7.683/(g1^44*y) + (4*t^7.729)/(g1^6*y) + (4*g1^32*t^7.776)/y + (4*t^8.035)/(g1^14*y) + (4*g1^24*t^8.082)/y + (3*t^8.341)/(g1^22*y) + (4*g1^16*t^8.388)/y + (2*t^8.647)/(g1^30*y) + (4*g1^8*t^8.694)/y + t^8.953/(g1^38*y) - (t^4.576*y)/g1^2 - g1^18*t^6.812*y - (t^7.071*y)/g1^28 - g1^10*t^7.118*y + 2*g1^2*t^7.424*y + g1^40*t^7.47*y + (t^7.683*y)/g1^44 + (4*t^7.729*y)/g1^6 + 4*g1^32*t^7.776*y + (4*t^8.035*y)/g1^14 + 4*g1^24*t^8.082*y + (3*t^8.341*y)/g1^22 + 4*g1^16*t^8.388*y + (2*t^8.647*y)/g1^30 + 4*g1^8*t^8.694*y + (t^8.953*y)/g1^38 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3760 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6576 | 0.8714 | 0.7546 | [M:[0.9473, 1.1582, 0.8418, 0.7364, 0.8427, 0.8418, 0.8418], q:[0.7368, 0.3159], qb:[0.4213, 0.4205], phi:[0.5264]] | 2*t^2.209 + t^2.212 + 3*t^2.526 + t^2.528 + t^2.842 + t^3.158 + t^3.788 + t^4.102 + t^4.105 + t^4.107 + 3*t^4.418 + 2*t^4.421 + t^4.423 + 6*t^4.735 + 5*t^4.737 + t^4.74 + 8*t^5.051 + 4*t^5.054 + t^5.056 + 5*t^5.367 + 2*t^5.37 + 2*t^5.684 + t^5.997 - 2*t^6. - t^4.579/y - t^4.579*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2800 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6488 | 0.8528 | 0.7607 | [M:[0.9727, 1.0819, 0.9181, 0.7352, 0.8057, 0.7898], q:[0.7432, 0.2841], qb:[0.4671, 0.4511], phi:[0.5136]] | 2*t^2.206 + t^2.253 + t^2.369 + t^2.417 + t^2.754 + t^2.918 + t^3.082 + t^3.246 + t^3.747 + t^4.247 + t^4.295 + t^4.343 + 3*t^4.411 + 2*t^4.459 + t^4.507 + 2*t^4.575 + 3*t^4.623 + t^4.671 + t^4.739 + t^4.786 + t^4.834 + 2*t^4.96 + t^5.008 + 3*t^5.124 + 2*t^5.172 + 3*t^5.287 + 2*t^5.335 + 2*t^5.451 + t^5.499 + t^5.509 + t^5.615 + t^5.663 + t^5.673 + t^5.836 + t^5.952 - t^6. - t^4.541/y - t^4.541*y | detail |