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 |
|---|---|---|---|---|---|---|---|---|---|
| 55533 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ | 0.6061 | 0.7767 | 0.7804 | [M:[0.7459, 0.9669, 1.2541, 1.0, 0.7293, 1.0331], q:[0.5, 0.7541], qb:[0.5331, 0.2459], phi:[0.4917]] | [M:[[1], [8], [-1], [0], [5], [-8]], q:[[0], [-1]], qb:[[-8], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.188 + t^2.238 + t^2.337 + 2*t^2.95 + t^3. + t^3.099 + t^3.713 + t^3.762 + t^3.862 + t^4.376 + t^4.426 + 2*t^4.475 + t^4.525 + 2*t^4.574 + 2*t^4.674 + t^5.138 + 3*t^5.188 + 3*t^5.287 + 2*t^5.337 + t^5.436 + 3*t^5.901 + 3*t^5.95 - 2*t^6. + 3*t^6.05 + t^6.099 + 2*t^6.198 + t^6.564 + 3*t^6.663 + 3*t^6.713 + 3*t^6.812 + 2*t^6.862 + 2*t^6.911 + t^6.961 + 2*t^7.01 + t^7.326 + t^7.376 + 4*t^7.426 + t^7.475 + 3*t^7.525 + t^7.574 + 4*t^7.624 + 3*t^7.674 + 2*t^7.773 + t^8.089 + 4*t^8.138 - t^8.188 + t^8.238 + 3*t^8.287 - 3*t^8.337 + 3*t^8.386 + 3*t^8.436 + 3*t^8.535 + t^8.752 + t^8.802 + 4*t^8.851 + 5*t^8.901 - 4*t^8.95 - t^4.475/y - t^6.663/y + (2*t^7.525)/y + t^7.574/y + (2*t^8.138)/y + (3*t^8.188)/y + t^8.238/y + (4*t^8.287)/y + (2*t^8.337)/y + t^8.436/y - t^8.851/y + (2*t^8.901)/y + (4*t^8.95)/y - t^4.475*y - t^6.663*y + 2*t^7.525*y + t^7.574*y + 2*t^8.138*y + 3*t^8.188*y + t^8.238*y + 4*t^8.287*y + 2*t^8.337*y + t^8.436*y - t^8.851*y + 2*t^8.901*y + 4*t^8.95*y | g1^5*t^2.188 + g1*t^2.238 + t^2.337/g1^7 + 2*g1^4*t^2.95 + t^3. + t^3.099/g1^8 + g1^3*t^3.713 + t^3.762/g1 + t^3.862/g1^9 + g1^10*t^4.376 + g1^6*t^4.426 + 2*g1^2*t^4.475 + t^4.525/g1^2 + (2*t^4.574)/g1^6 + (2*t^4.674)/g1^14 + g1^9*t^5.138 + 3*g1^5*t^5.188 + (3*t^5.287)/g1^3 + (2*t^5.337)/g1^7 + t^5.436/g1^15 + 3*g1^8*t^5.901 + 3*g1^4*t^5.95 - 2*t^6. + (3*t^6.05)/g1^4 + t^6.099/g1^8 + (2*t^6.198)/g1^16 + g1^15*t^6.564 + 3*g1^7*t^6.663 + 3*g1^3*t^6.713 + (3*t^6.812)/g1^5 + (2*t^6.862)/g1^9 + (2*t^6.911)/g1^13 + t^6.961/g1^17 + (2*t^7.01)/g1^21 + g1^14*t^7.326 + g1^10*t^7.376 + 4*g1^6*t^7.426 + g1^2*t^7.475 + (3*t^7.525)/g1^2 + t^7.574/g1^6 + (4*t^7.624)/g1^10 + (3*t^7.674)/g1^14 + (2*t^7.773)/g1^22 + g1^13*t^8.089 + 4*g1^9*t^8.138 - g1^5*t^8.188 + g1*t^8.238 + (3*t^8.287)/g1^3 - (3*t^8.337)/g1^7 + (3*t^8.386)/g1^11 + (3*t^8.436)/g1^15 + (3*t^8.535)/g1^23 + g1^20*t^8.752 + g1^16*t^8.802 + 4*g1^12*t^8.851 + 5*g1^8*t^8.901 - 4*g1^4*t^8.95 - (g1^2*t^4.475)/y - (g1^7*t^6.663)/y + (2*t^7.525)/(g1^2*y) + t^7.574/(g1^6*y) + (2*g1^9*t^8.138)/y + (3*g1^5*t^8.188)/y + (g1*t^8.238)/y + (4*t^8.287)/(g1^3*y) + (2*t^8.337)/(g1^7*y) + t^8.436/(g1^15*y) - (g1^12*t^8.851)/y + (2*g1^8*t^8.901)/y + (4*g1^4*t^8.95)/y - g1^2*t^4.475*y - g1^7*t^6.663*y + (2*t^7.525*y)/g1^2 + (t^7.574*y)/g1^6 + 2*g1^9*t^8.138*y + 3*g1^5*t^8.188*y + g1*t^8.238*y + (4*t^8.287*y)/g1^3 + (2*t^8.337*y)/g1^7 + (t^8.436*y)/g1^15 - g1^12*t^8.851*y + 2*g1^8*t^8.901*y + 4*g1^4*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 57123 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6253 | 0.8117 | 0.7704 | [M:[0.7456, 0.9644, 1.2544, 1.0, 0.7278, 1.0356, 0.7456], q:[0.5, 0.7544], qb:[0.5356, 0.2456], phi:[0.4911]] | t^2.183 + 2*t^2.237 + t^2.343 + 2*t^2.947 + t^3. + t^3.107 + t^3.71 + t^3.87 + t^4.367 + 2*t^4.42 + 4*t^4.473 + t^4.527 + 3*t^4.58 + 2*t^4.687 + t^5.13 + 5*t^5.183 + t^5.237 + 3*t^5.29 + 3*t^5.343 + t^5.45 + 3*t^5.893 + 3*t^5.947 - 3*t^6. - t^4.473/y - t^4.473*y | detail | |
| 57124 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6265 | 0.8153 | 0.7684 | [M:[0.7445, 0.9564, 1.2555, 1.0, 0.7227, 1.0436, 0.7009], q:[0.5, 0.7555], qb:[0.5436, 0.2445], phi:[0.4891]] | t^2.103 + t^2.168 + t^2.234 + t^2.364 + 2*t^2.935 + t^3. + t^3.131 + t^3.701 + t^3.766 + t^4.206 + t^4.271 + 2*t^4.336 + t^4.402 + 3*t^4.467 + t^4.533 + 2*t^4.598 + 2*t^4.729 + 2*t^5.037 + 2*t^5.103 + 3*t^5.168 + t^5.234 + 3*t^5.299 + 2*t^5.364 + t^5.495 + t^5.804 + 4*t^5.869 + 3*t^5.935 - 2*t^6. - t^4.467/y - t^4.467*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47208 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6113 | 0.7851 | 0.7787 | [M:[0.7401, 0.9204, 1.2599, 1.0, 0.7003], q:[0.5, 0.7599], qb:[0.5796, 0.2401], phi:[0.4801]] | t^2.101 + t^2.22 + t^2.459 + t^2.761 + 2*t^2.881 + t^3. + t^3.66 + t^3.78 + t^4.019 + t^4.202 + t^4.321 + 2*t^4.44 + t^4.56 + 2*t^4.679 + t^4.862 + 2*t^4.918 + 2*t^4.981 + 3*t^5.101 + t^5.22 + 2*t^5.34 + t^5.459 + t^5.523 + 2*t^5.642 + 4*t^5.761 + 3*t^5.881 - 2*t^6. - t^4.44/y - t^4.44*y | detail |