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 |
|---|---|---|---|---|---|---|---|---|---|
| 474 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}X_{1}$ | 0.606 | 0.7574 | 0.8002 | [X:[1.4386], M:[1.0179, 0.5614, 0.736, 0.7718, 0.9821], q:[0.6661, 0.948], qb:[0.316, 0.5264], phi:[0.3859]] | [X:[[0, 1]], M:[[8, -5], [0, -1], [-20, 12], [-4, 2], [-8, 5]], q:[[-13, 8], [15, -9]], qb:[[5, -3], [1, 0]], phi:[[-2, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.208 + 2*t^2.315 + t^2.527 + t^2.946 + t^3.054 + t^3.577 + t^4.316 + t^4.416 + t^4.423 + 2*t^4.523 + 3*t^4.631 + t^4.735 + 3*t^4.842 + t^5.054 + t^5.154 + 2*t^5.262 + t^5.369 + t^5.473 + t^5.581 + t^5.785 + 2*t^5.893 - 2*t^6. + t^6.105 - t^6.419 + 2*t^6.524 - t^6.527 + t^6.624 + 2*t^6.631 + 2*t^6.731 + 3*t^6.838 + t^6.843 + t^6.943 + 4*t^6.946 + t^6.95 + 2*t^7.05 + t^7.155 + 3*t^7.158 + t^7.262 - t^7.265 + t^7.362 + 2*t^7.369 + 2*t^7.47 + 2*t^7.577 + t^7.581 + t^7.681 + t^7.684 + t^7.789 + t^7.893 + t^7.993 + t^8.001 + 2*t^8.101 + t^8.312 - 5*t^8.315 + 2*t^8.42 - t^8.423 - 4*t^8.527 - t^8.627 + 2*t^8.632 - t^8.634 + 2*t^8.732 - 2*t^8.735 + t^8.739 + t^8.832 + 3*t^8.839 - t^8.842 + t^8.846 + 2*t^8.939 - 2*t^8.946 - t^4.158/y - t^6.366/y - (2*t^6.473)/y + (2*t^7.523)/y + t^7.631/y + t^7.735/y + (4*t^7.842)/y + t^7.95/y + t^8.154/y + (3*t^8.262)/y + (2*t^8.369)/y + t^8.473/y - t^8.574/y + t^8.581/y - (2*t^8.681)/y + t^8.785/y - (3*t^8.788)/y + (2*t^8.893)/y - t^4.158*y - t^6.366*y - 2*t^6.473*y + 2*t^7.523*y + t^7.631*y + t^7.735*y + 4*t^7.842*y + t^7.95*y + t^8.154*y + 3*t^8.262*y + 2*t^8.369*y + t^8.473*y - t^8.574*y + t^8.581*y - 2*t^8.681*y + t^8.785*y - 3*t^8.788*y + 2*t^8.893*y | (g2^12*t^2.208)/g1^20 + (2*g2^2*t^2.315)/g1^4 + (g1^6*t^2.527)/g2^3 + (g2^5*t^2.946)/g1^8 + (g1^8*t^3.054)/g2^5 + (g2^8*t^3.577)/g1^12 + g2*t^4.316 + (g2^24*t^4.416)/g1^40 + (g1^16*t^4.423)/g2^9 + (2*g2^14*t^4.523)/g1^24 + (3*g2^4*t^4.631)/g1^8 + (g2^9*t^4.735)/g1^14 + (3*g1^2*t^4.842)/g2 + (g1^12*t^5.054)/g2^6 + (g2^17*t^5.154)/g1^28 + (2*g2^7*t^5.262)/g1^12 + (g1^4*t^5.369)/g2^3 + (g2^2*t^5.473)/g1^2 + (g1^14*t^5.581)/g2^8 + (g2^20*t^5.785)/g1^32 + (2*g2^10*t^5.893)/g1^16 - 2*t^6. + (g2^5*t^6.105)/g1^6 - (g2^8*t^6.419)/g1^14 + (2*g2^13*t^6.524)/g1^20 - (g1^2*t^6.527)/g2^2 + (g2^36*t^6.624)/g1^60 + (2*g2^3*t^6.631)/g1^4 + (2*g2^26*t^6.731)/g1^44 + (3*g2^16*t^6.838)/g1^28 + (g1^6*t^6.843)/g2^2 + (g2^21*t^6.943)/g1^34 + (4*g2^6*t^6.946)/g1^12 + (g1^22*t^6.95)/g2^12 + (2*g2^11*t^7.05)/g1^18 + (g2^16*t^7.155)/g1^24 + (3*g2*t^7.158)/g1^2 + (g2^6*t^7.262)/g1^8 - (g1^14*t^7.265)/g2^9 + (g2^29*t^7.362)/g1^48 + (2*g1^8*t^7.369)/g2^4 + (2*g2^19*t^7.47)/g1^32 + (2*g2^9*t^7.577)/g1^16 + (g1^18*t^7.581)/g2^9 + (g2^14*t^7.681)/g1^22 + t^7.684/g2 + (g2^4*t^7.789)/g1^6 + (g2^9*t^7.893)/g1^12 + (g2^32*t^7.993)/g1^52 + (g1^4*t^8.001)/g2 + (2*g2^22*t^8.101)/g1^36 + (g2^17*t^8.312)/g1^26 - (5*g2^2*t^8.315)/g1^4 + (2*g2^7*t^8.42)/g1^10 - (g1^12*t^8.423)/g2^8 - (4*g1^6*t^8.527)/g2^3 - (g2^20*t^8.627)/g1^34 + 2*g2^2*t^8.632 - (g1^22*t^8.634)/g2^13 + (2*g2^25*t^8.732)/g1^40 - (2*g2^10*t^8.735)/g1^18 + (g1^16*t^8.739)/g2^8 + (g2^48*t^8.832)/g1^80 + (3*g2^15*t^8.839)/g1^24 - t^8.842/g1^2 + (g1^32*t^8.846)/g2^18 + (2*g2^38*t^8.939)/g1^64 - (2*g2^5*t^8.946)/g1^8 - (g2*t^4.158)/(g1^2*y) - (g2^13*t^6.366)/(g1^22*y) - (2*g2^3*t^6.473)/(g1^6*y) + (2*g2^14*t^7.523)/(g1^24*y) + (g2^4*t^7.631)/(g1^8*y) + (g2^9*t^7.735)/(g1^14*y) + (4*g1^2*t^7.842)/(g2*y) + (g1^18*t^7.95)/(g2^11*y) + (g2^17*t^8.154)/(g1^28*y) + (3*g2^7*t^8.262)/(g1^12*y) + (2*g1^4*t^8.369)/(g2^3*y) + (g2^2*t^8.473)/(g1^2*y) - (g2^25*t^8.574)/(g1^42*y) + (g1^14*t^8.581)/(g2^8*y) - (2*g2^15*t^8.681)/(g1^26*y) + (g2^20*t^8.785)/(g1^32*y) - (3*g2^5*t^8.788)/(g1^10*y) + (2*g2^10*t^8.893)/(g1^16*y) - (g2*t^4.158*y)/g1^2 - (g2^13*t^6.366*y)/g1^22 - (2*g2^3*t^6.473*y)/g1^6 + (2*g2^14*t^7.523*y)/g1^24 + (g2^4*t^7.631*y)/g1^8 + (g2^9*t^7.735*y)/g1^14 + (4*g1^2*t^7.842*y)/g2 + (g1^18*t^7.95*y)/g2^11 + (g2^17*t^8.154*y)/g1^28 + (3*g2^7*t^8.262*y)/g1^12 + (2*g1^4*t^8.369*y)/g2^3 + (g2^2*t^8.473*y)/g1^2 - (g2^25*t^8.574*y)/g1^42 + (g1^14*t^8.581*y)/g2^8 - (2*g2^15*t^8.681*y)/g1^26 + (g2^20*t^8.785*y)/g1^32 - (3*g2^5*t^8.788*y)/g1^10 + (2*g2^10*t^8.893*y)/g1^16 |
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 |
|---|---|---|---|---|---|---|---|---|
| 761 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}^{2}$ | 0.5673 | 0.7067 | 0.8027 | [X:[1.4481], M:[0.9104, 0.5519, 1.0, 0.8208, 1.0896], q:[0.8396, 0.75], qb:[0.25, 0.5188], phi:[0.4104]] | t^2.307 + 2*t^2.462 + t^2.731 + t^3. + t^3.269 + t^3.807 + t^4.075 + t^4.344 + t^4.613 + 3*t^4.769 + 3*t^4.925 + t^5.038 + t^5.193 + t^5.307 + 2*t^5.462 + t^5.575 + 2*t^5.731 - t^6. - t^4.231/y - t^4.231*y | detail | |
| 763 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{6}$ | 0.6052 | 0.7542 | 0.8024 | [X:[1.4621], M:[1.0006, 0.5379, 0.7674, 0.7686, 0.9994, 1.0006], q:[0.6912, 0.9245], qb:[0.3082, 0.5389], phi:[0.3843]] | t^2.302 + 2*t^2.306 + t^2.541 + 2*t^3.002 + t^3.69 + t^4.386 + t^4.39 + t^4.604 + 2*t^4.608 + 3*t^4.612 + t^4.843 + 3*t^4.847 + t^5.082 + t^5.304 + 3*t^5.308 + 2*t^5.543 + t^5.992 + t^5.996 - 3*t^6. - t^4.153/y - t^4.153*y | detail | |
| 762 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5879 | 0.7303 | 0.805 | [X:[1.6557], M:[0.9671, 0.3443, 0.7545, 0.6886, 1.0329], q:[0.7215, 0.9342], qb:[0.3114, 0.6557], phi:[0.3443]] | 2*t^2.066 + t^2.263 + 2*t^2.901 + t^3.099 + 4*t^4.132 + 2*t^4.329 + t^4.527 + t^4.77 + 5*t^4.967 + 3*t^5.165 + t^5.362 + 2*t^5.802 - 2*t^6. - t^4.033/y - t^4.033*y | detail | |
| 1857 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}X_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6236 | 0.7874 | 0.792 | [X:[1.4835], M:[1.0, 0.5165, 0.7583, 0.7583, 1.0, 0.7583], q:[0.6896, 0.9313], qb:[0.3104, 0.5522], phi:[0.3791]] | 4*t^2.275 + t^2.588 + 2*t^3. + 2*t^4.45 + 10*t^4.55 + 5*t^4.863 + t^5.176 + 6*t^5.275 + 2*t^5.588 - 2*t^6. - t^4.137/y - t^4.137*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 |
|---|---|---|---|---|---|---|---|---|---|
| 302 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7102 | 0.9148 | 0.7763 | [M:[0.6894, 0.6991, 0.6894, 0.6926, 0.6862], q:[0.8268, 0.8268], qb:[0.4837, 0.4773], phi:[0.3463]] | t^2.059 + 2*t^2.068 + 2*t^2.078 + t^2.097 + t^2.883 + 2*t^3.912 + t^4.117 + 2*t^4.127 + 5*t^4.136 + 4*t^4.146 + 4*t^4.156 + 2*t^4.166 + 2*t^4.175 + t^4.195 + t^4.942 + 2*t^4.951 + 3*t^4.961 + t^4.98 + t^5.766 + 2*t^5.971 + 3*t^5.981 + 2*t^5.99 - 3*t^6. - t^4.039/y - t^4.039*y | detail |