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 |
|---|---|---|---|---|---|---|---|---|---|
| 46786 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6572 | 0.8255 | 0.7962 | [M:[1.1417, 0.7369, 0.8583, 0.7854, 0.6882], q:[0.3927, 0.4656], qb:[0.8704, 0.749], phi:[0.3806]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-11, -13]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | t^2.065 + t^2.211 + t^2.283 + t^2.356 + t^2.575 + t^3.425 + t^3.498 + t^3.717 + t^4.008 + t^4.129 + t^4.275 + t^4.348 + 2*t^4.421 + t^4.494 + 2*t^4.567 + 2*t^4.64 + t^4.712 + t^4.786 + 2*t^4.858 + t^4.931 + t^5.15 + t^5.49 + t^5.562 + t^5.636 + t^5.708 + 2*t^5.781 + t^5.854 - t^6. + 2*t^6.073 + t^6.194 + t^6.292 + t^6.34 + t^6.364 + t^6.413 + t^6.485 + t^6.486 + t^6.559 + t^6.583 + 2*t^6.631 + t^6.632 + 2*t^6.704 + t^6.705 + 3*t^6.777 + 3*t^6.85 + 4*t^6.923 + 4*t^6.996 + t^7.068 + t^7.069 + t^7.142 + 2*t^7.214 + t^7.287 - t^7.36 + t^7.506 + t^7.554 + t^7.627 - t^7.652 + t^7.7 + t^7.725 + t^7.773 + 3*t^7.846 + 2*t^7.919 + t^7.992 + t^8.016 + 3*t^8.137 + t^8.21 - 2*t^8.211 + t^8.258 - t^8.283 - t^8.356 + t^8.404 + 2*t^8.429 + t^8.477 - 2*t^8.502 + 2*t^8.55 - 2*t^8.575 + t^8.623 + t^8.648 + 2*t^8.696 + t^8.697 + t^8.72 + 3*t^8.769 - t^8.794 + t^8.841 + 2*t^8.842 + t^8.843 + t^8.866 + 4*t^8.915 + t^8.939 + 4*t^8.987 + 2*t^8.988 - t^4.142/y - t^6.206/y - t^6.352/y - t^6.425/y - t^6.498/y + t^7.275/y + t^7.348/y + t^7.421/y + t^7.494/y + t^7.567/y + (2*t^7.64)/y + (2*t^7.786)/y + (2*t^7.858)/y + (2*t^7.931)/y + t^8.077/y - t^8.271/y - t^8.417/y - t^8.563/y + (2*t^8.781)/y + t^8.927/y - t^4.142*y - t^6.206*y - t^6.352*y - t^6.425*y - t^6.498*y + t^7.275*y + t^7.348*y + t^7.421*y + t^7.494*y + t^7.567*y + 2*t^7.64*y + 2*t^7.786*y + 2*t^7.858*y + 2*t^7.931*y + t^8.077*y - t^8.271*y - t^8.417*y - t^8.563*y + 2*t^8.781*y + t^8.927*y | t^2.065/(g1^11*g2^13) + g1^2*g2^4*t^2.211 + t^2.283/(g1^2*g2^2) + t^2.356/(g1^6*g2^8) + g1^3*g2^3*t^2.575 + t^3.425/(g1^3*g2^3) + t^3.498/(g1^7*g2^9) + g1^2*g2^2*t^3.717 + g1^7*g2^7*t^4.008 + t^4.129/(g1^22*g2^26) + t^4.275/(g1^9*g2^9) + t^4.348/(g1^13*g2^15) + t^4.421/(g1^17*g2^21) + g1^4*g2^8*t^4.421 + g2^2*t^4.494 + (2*t^4.567)/(g1^4*g2^4) + (2*t^4.64)/(g1^8*g2^10) + t^4.712/(g1^12*g2^16) + g1^5*g2^7*t^4.786 + 2*g1*g2*t^4.858 + t^4.931/(g1^3*g2^5) + g1^6*g2^6*t^5.15 + t^5.49/(g1^14*g2^16) + t^5.562/(g1^18*g2^22) + (g2*t^5.636)/g1 + t^5.708/(g1^5*g2^5) + (2*t^5.781)/(g1^9*g2^11) + t^5.854/(g1^13*g2^17) - t^6. + (2*t^6.073)/(g1^4*g2^6) + t^6.194/(g1^33*g2^39) + g1^5*g2^5*t^6.292 + t^6.34/(g1^20*g2^22) + (g1*t^6.364)/g2 + t^6.413/(g1^24*g2^28) + t^6.485/(g1^28*g2^34) + t^6.486/(g1^7*g2^5) + t^6.559/(g1^11*g2^11) + g1^10*g2^10*t^6.583 + (2*t^6.631)/(g1^15*g2^17) + g1^6*g2^12*t^6.632 + (2*t^6.704)/(g1^19*g2^23) + g1^2*g2^6*t^6.705 + (2*t^6.777)/g1^2 + t^6.777/(g1^23*g2^29) + (3*t^6.85)/(g1^6*g2^6) + (4*t^6.923)/(g1^10*g2^12) + (3*t^6.996)/(g1^14*g2^18) + g1^7*g2^11*t^6.996 + t^7.068/(g1^18*g2^24) + g1^3*g2^5*t^7.069 + t^7.142/(g1*g2) + (2*t^7.214)/(g1^5*g2^7) + t^7.287/(g1^9*g2^13) - g1^8*g2^10*t^7.36 + t^7.506/g2^2 + t^7.554/(g1^25*g2^29) + t^7.627/(g1^29*g2^35) - g1^13*g2^15*t^7.652 + t^7.7/(g1^12*g2^12) + g1^9*g2^9*t^7.725 + t^7.773/(g1^16*g2^18) + (2*t^7.846)/(g1^20*g2^24) + g1*g2^5*t^7.846 + t^7.919/(g1^24*g2^30) + t^7.919/(g1^3*g2) + t^7.992/(g1^7*g2^7) + g1^14*g2^14*t^8.016 + (3*t^8.137)/(g1^15*g2^19) + t^8.21/(g1^19*g2^25) - 2*g1^2*g2^4*t^8.211 + t^8.258/(g1^44*g2^52) - t^8.283/(g1^2*g2^2) - t^8.356/(g1^6*g2^8) + t^8.404/(g1^31*g2^35) + (2*t^8.429)/(g1^10*g2^14) + t^8.477/(g1^35*g2^41) - 2*g1^7*g2^9*t^8.502 + t^8.55/(g1^39*g2^47) + t^8.55/(g1^18*g2^18) - 2*g1^3*g2^3*t^8.575 + t^8.623/(g1^22*g2^24) + t^8.648/(g1*g2^3) + (2*t^8.696)/(g1^26*g2^30) + t^8.697/(g1^5*g2) + t^8.72/(g1^5*g2^9) + (2*t^8.769)/(g1^30*g2^36) + t^8.769/(g1^9*g2^7) - g1^12*g2^14*t^8.794 + t^8.841/(g1^34*g2^42) + (2*t^8.842)/(g1^13*g2^13) + g1^8*g2^16*t^8.843 + g1^8*g2^8*t^8.866 + (3*t^8.915)/(g1^17*g2^19) + g1^4*g2^10*t^8.915 + g1^4*g2^2*t^8.939 + (4*t^8.987)/(g1^21*g2^25) + 2*g2^4*t^8.988 - t^4.142/(g1*g2*y) - t^6.206/(g1^12*g2^14*y) - (g1*g2^3*t^6.352)/y - t^6.425/(g1^3*g2^3*y) - t^6.498/(g1^7*g2^9*y) + t^7.275/(g1^9*g2^9*y) + t^7.348/(g1^13*g2^15*y) + t^7.421/(g1^17*g2^21*y) + (g2^2*t^7.494)/y + t^7.567/(g1^4*g2^4*y) + (2*t^7.64)/(g1^8*g2^10*y) + (2*g1^5*g2^7*t^7.786)/y + (2*g1*g2*t^7.858)/y + (2*t^7.931)/(g1^3*g2^5*y) + (g1^10*g2^12*t^8.077)/y - t^8.271/(g1^23*g2^27*y) - t^8.417/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.563)/y + (2*t^8.781)/(g1^9*g2^11*y) + (g1^4*g2^6*t^8.927)/y - (t^4.142*y)/(g1*g2) - (t^6.206*y)/(g1^12*g2^14) - g1*g2^3*t^6.352*y - (t^6.425*y)/(g1^3*g2^3) - (t^6.498*y)/(g1^7*g2^9) + (t^7.275*y)/(g1^9*g2^9) + (t^7.348*y)/(g1^13*g2^15) + (t^7.421*y)/(g1^17*g2^21) + g2^2*t^7.494*y + (t^7.567*y)/(g1^4*g2^4) + (2*t^7.64*y)/(g1^8*g2^10) + 2*g1^5*g2^7*t^7.786*y + 2*g1*g2*t^7.858*y + (2*t^7.931*y)/(g1^3*g2^5) + g1^10*g2^12*t^8.077*y - (t^8.271*y)/(g1^23*g2^27) - (t^8.417*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.563*y + (2*t^8.781*y)/(g1^9*g2^11) + g1^4*g2^6*t^8.927*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 |
|---|---|---|---|---|---|---|---|---|
| 48304 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{5}$ | 0.6474 | 0.8091 | 0.8001 | [M:[1.1909, 0.7638, 0.8091, 0.8241, 0.8091], q:[0.4121, 0.397], qb:[0.8241, 0.7789], phi:[0.397]] | t^2.291 + t^2.382 + 2*t^2.427 + t^2.472 + t^3.573 + t^3.618 + 2*t^3.663 + t^4.583 + t^4.673 + 2*t^4.718 + 2*t^4.764 + 3*t^4.809 + 4*t^4.854 + 2*t^4.9 + t^4.945 + t^5.864 + t^5.955 - t^4.191/y - t^4.191*y | detail | |
| 48138 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6702 | 0.8472 | 0.7911 | [M:[1.1541, 0.7557, 0.8459, 0.7831, 0.7067, 0.8459], q:[0.3916, 0.4543], qb:[0.8527, 0.7626], phi:[0.3847]] | t^2.12 + t^2.267 + t^2.308 + t^2.349 + 2*t^2.538 + t^3.504 + t^3.692 + t^3.921 + t^4.24 + t^4.387 + t^4.428 + t^4.469 + t^4.534 + t^4.575 + 2*t^4.617 + 3*t^4.658 + t^4.699 + 2*t^4.805 + 3*t^4.846 + 2*t^4.887 + 3*t^5.075 + t^5.624 + t^5.812 + t^5.853 - 2*t^6. - t^4.154/y - t^4.154*y | detail | |
| 47249 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ | 0.6406 | 0.7956 | 0.8052 | [M:[1.14, 0.7099, 0.86, 0.81, 0.7099, 1.19], q:[0.405, 0.455], qb:[0.8851, 0.735], phi:[0.38]] | 2*t^2.13 + t^2.28 + t^2.58 + t^3.42 + 2*t^3.57 + t^3.72 + t^4.02 + 3*t^4.26 + 2*t^4.41 + t^4.56 + 2*t^4.71 + 2*t^4.86 + t^5.16 + 2*t^5.55 + 4*t^5.7 + 2*t^5.85 - t^6. - t^4.14/y - t^4.14*y | detail | |
| 48141 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6565 | 0.8232 | 0.7974 | [M:[1.1417, 0.7126, 0.8583, 0.8097, 0.7126], q:[0.4049, 0.4534], qb:[0.8825, 0.7369], phi:[0.3806]] | 2*t^2.138 + t^2.283 + t^2.429 + t^2.575 + t^3.425 + t^3.571 + t^3.717 + t^4.008 + 3*t^4.276 + 2*t^4.421 + 3*t^4.567 + 3*t^4.713 + 3*t^4.858 + t^5.004 + t^5.15 + 2*t^5.563 + 2*t^5.709 + 2*t^5.854 - t^4.142/y - t^4.142*y | detail | |
| 48270 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.5993 | 0.7502 | 0.7989 | [M:[1.2404, 0.7213, 0.7596, 0.9326, 1.0], q:[0.4663, 0.2933], qb:[0.8124, 0.7741], phi:[0.4135]] | t^2.164 + t^2.279 + t^2.481 + t^2.798 + t^3. + t^3.317 + t^3.519 + t^3.721 + t^4.038 + t^4.328 + t^4.443 + t^4.557 + t^4.645 + 2*t^4.76 + 2*t^4.962 + t^5.077 + t^5.164 + 2*t^5.279 + t^5.481 + 2*t^5.596 + 2*t^5.798 + t^5.885 - t^4.24/y - t^4.24*y | detail | |
| 47088 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6724 | 0.8509 | 0.7902 | [M:[1.1435, 0.7153, 0.8565, 0.8094, 0.7153, 0.8094], q:[0.4047, 0.4518], qb:[0.88, 0.7388], phi:[0.3812]] | 2*t^2.146 + t^2.287 + 2*t^2.428 + t^2.569 + t^3.431 + t^3.713 + t^3.995 + 3*t^4.292 + 2*t^4.433 + 5*t^4.574 + 4*t^4.715 + 5*t^4.856 + 2*t^4.998 + t^5.139 + 2*t^5.576 + 2*t^5.859 - t^6. - t^4.144/y - t^4.144*y | detail | |
| 46977 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6522 | 0.82 | 0.7954 | [M:[1.177, 0.823, 0.823, 0.7464, 0.7082], q:[0.3732, 0.4497], qb:[0.8038, 0.8038], phi:[0.3923]] | t^2.125 + t^2.239 + t^2.354 + 2*t^2.469 + t^3.416 + t^3.531 + t^3.646 + t^3.761 + t^4.249 + t^4.364 + 2*t^4.479 + 3*t^4.593 + 3*t^4.708 + 3*t^4.823 + 3*t^4.938 + t^5.541 + 2*t^5.656 + 2*t^5.77 + 3*t^5.885 + t^6. - t^4.177/y - t^4.177*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46225 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6366 | 0.7855 | 0.8105 | [M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | t^2.21 + t^2.293 + t^2.376 + t^2.56 + t^3.44 + t^3.522 + t^3.707 + t^3.892 + t^3.974 + t^4.421 + t^4.503 + 2*t^4.586 + t^4.669 + t^4.751 + t^4.771 + 2*t^4.853 + t^4.936 + t^5.121 + t^5.65 + t^5.733 + t^5.815 + t^5.898 - t^6. - t^4.147/y - t^4.147*y | detail |