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 |
|---|---|---|---|---|---|---|---|---|---|
| 55924 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6795 | 0.8599 | 0.7902 | [M:[1.114, 1.1398, 0.886, 0.6839, 0.8602, 0.7097], q:[0.3419, 0.5441], qb:[0.5183, 0.772], phi:[0.4559]] | [M:[[-1], [-10], [1], [-6], [10], [-15]], q:[[-3], [4]], qb:[[13], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | 0 | t^2.052 + t^2.129 + t^2.581 + t^2.658 + t^2.735 + t^3.187 + t^3.342 + t^3.419 + t^3.948 + t^4.026 + t^4.103 + t^4.181 + t^4.258 + t^4.477 + t^4.555 + 2*t^4.632 + 2*t^4.71 + 2*t^4.787 + t^4.864 + t^5.161 + 2*t^5.239 + 3*t^5.316 + t^5.394 + 2*t^5.471 + t^5.548 + t^5.768 + t^5.845 + t^5.923 + 2*t^6.077 + 3*t^6.155 + t^6.232 + t^6.31 + t^6.374 + t^6.387 + t^6.529 + 2*t^6.606 + 3*t^6.684 + 3*t^6.761 + 3*t^6.839 + 2*t^6.916 + t^6.993 + t^7.058 + 2*t^7.136 + 3*t^7.213 + 2*t^7.29 + 4*t^7.368 + 4*t^7.445 + 2*t^7.523 + 2*t^7.6 + t^7.665 + t^7.677 + t^7.742 + 2*t^7.819 + 2*t^7.897 + 2*t^7.974 + 2*t^8.052 + 4*t^8.206 + 3*t^8.284 + t^8.349 + t^8.361 + 2*t^8.426 + t^8.439 + 2*t^8.503 + t^8.516 - t^8.581 + 2*t^8.735 + 3*t^8.813 + 5*t^8.89 + 2*t^8.955 + 3*t^8.968 - t^4.368/y - t^6.419/y - t^6.497/y - t^7.103/y + t^7.181/y + (2*t^7.632)/y + (2*t^7.71)/y + (2*t^7.787)/y + t^7.864/y + (3*t^8.239)/y + (3*t^8.316)/y + (2*t^8.394)/y + t^8.471/y - t^8.626/y + t^8.768/y + t^8.845/y + (2*t^8.923)/y - t^4.368*y - t^6.419*y - t^6.497*y - t^7.103*y + t^7.181*y + 2*t^7.632*y + 2*t^7.71*y + 2*t^7.787*y + t^7.864*y + 3*t^8.239*y + 3*t^8.316*y + 2*t^8.394*y + t^8.471*y - t^8.626*y + t^8.768*y + t^8.845*y + 2*t^8.923*y | t^2.052/g1^6 + t^2.129/g1^15 + g1^10*t^2.581 + g1*t^2.658 + t^2.735/g1^8 + g1^17*t^3.187 + t^3.342/g1 + t^3.419/g1^10 + g1^6*t^3.948 + t^4.026/g1^3 + t^4.103/g1^12 + t^4.181/g1^21 + t^4.258/g1^30 + g1^22*t^4.477 + g1^13*t^4.555 + 2*g1^4*t^4.632 + (2*t^4.71)/g1^5 + (2*t^4.787)/g1^14 + t^4.864/g1^23 + g1^20*t^5.161 + 2*g1^11*t^5.239 + 3*g1^2*t^5.316 + t^5.394/g1^7 + (2*t^5.471)/g1^16 + t^5.548/g1^25 + g1^27*t^5.768 + g1^18*t^5.845 + g1^9*t^5.923 + (2*t^6.077)/g1^9 + (3*t^6.155)/g1^18 + t^6.232/g1^27 + t^6.31/g1^36 + g1^34*t^6.374 + t^6.387/g1^45 + g1^16*t^6.529 + 2*g1^7*t^6.606 + (3*t^6.684)/g1^2 + (3*t^6.761)/g1^11 + (3*t^6.839)/g1^20 + (2*t^6.916)/g1^29 + t^6.993/g1^38 + g1^32*t^7.058 + 2*g1^23*t^7.136 + 3*g1^14*t^7.213 + 2*g1^5*t^7.29 + (4*t^7.368)/g1^4 + (4*t^7.445)/g1^13 + (2*t^7.523)/g1^22 + (2*t^7.6)/g1^31 + g1^39*t^7.665 + t^7.677/g1^40 + g1^30*t^7.742 + 2*g1^21*t^7.819 + 2*g1^12*t^7.897 + 2*g1^3*t^7.974 + (2*t^8.052)/g1^6 + (4*t^8.206)/g1^24 + (3*t^8.284)/g1^33 + g1^37*t^8.349 + t^8.361/g1^42 + 2*g1^28*t^8.426 + t^8.439/g1^51 + 2*g1^19*t^8.503 + t^8.516/g1^60 - g1^10*t^8.581 + (2*t^8.735)/g1^8 + (3*t^8.813)/g1^17 + (5*t^8.89)/g1^26 + 2*g1^44*t^8.955 + (3*t^8.968)/g1^35 - t^4.368/(g1^4*y) - t^6.419/(g1^10*y) - t^6.497/(g1^19*y) - t^7.103/(g1^12*y) + t^7.181/(g1^21*y) + (2*g1^4*t^7.632)/y + (2*t^7.71)/(g1^5*y) + (2*t^7.787)/(g1^14*y) + t^7.864/(g1^23*y) + (3*g1^11*t^8.239)/y + (3*g1^2*t^8.316)/y + (2*t^8.394)/(g1^7*y) + t^8.471/(g1^16*y) - t^8.626/(g1^34*y) + (g1^27*t^8.768)/y + (g1^18*t^8.845)/y + (2*g1^9*t^8.923)/y - (t^4.368*y)/g1^4 - (t^6.419*y)/g1^10 - (t^6.497*y)/g1^19 - (t^7.103*y)/g1^12 + (t^7.181*y)/g1^21 + 2*g1^4*t^7.632*y + (2*t^7.71*y)/g1^5 + (2*t^7.787*y)/g1^14 + (t^7.864*y)/g1^23 + 3*g1^11*t^8.239*y + 3*g1^2*t^8.316*y + (2*t^8.394*y)/g1^7 + (t^8.471*y)/g1^16 - (t^8.626*y)/g1^34 + g1^27*t^8.768*y + g1^18*t^8.845*y + 2*g1^9*t^8.923*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 |
|---|---|---|---|---|---|---|---|---|
| 57602 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ | 0.6705 | 0.8505 | 0.7884 | [M:[1.12, 1.2, 0.88, 0.72, 0.8, 0.8], q:[0.36, 0.52], qb:[0.44, 0.76], phi:[0.48]] | t^2.16 + 2*t^2.4 + t^2.64 + 2*t^2.88 + t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 4*t^4.8 + 4*t^5.04 + 5*t^5.28 + 2*t^5.52 + 4*t^5.76 + t^6. - t^4.44/y - t^4.44*y | detail | {a: 10476/15625, c: 26577/31250, M1: 28/25, M2: 6/5, M3: 22/25, M4: 18/25, M5: 4/5, M6: 4/5, q1: 9/25, q2: 13/25, qb1: 11/25, qb2: 19/25, phi1: 12/25} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48173 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.6593 | 0.8223 | 0.8018 | [M:[1.1149, 1.1485, 0.8851, 0.6891, 0.8515], q:[0.3446, 0.5406], qb:[0.5069, 0.7703], phi:[0.4594]] | t^2.067 + t^2.554 + t^2.655 + t^2.756 + t^3.143 + t^3.345 + t^3.446 + t^3.832 + t^3.933 + t^4.034 + t^4.135 + t^4.42 + t^4.521 + 2*t^4.622 + t^4.723 + t^4.824 + t^5.109 + 2*t^5.21 + 2*t^5.311 + t^5.412 + t^5.513 + t^5.697 + t^5.798 + 2*t^5.899 - t^4.378/y - t^4.378*y | detail |