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 |
|---|---|---|---|---|---|---|---|---|---|
| 3529 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6664 | 0.8858 | 0.7523 | [M:[0.9793, 1.0621, 0.9379, 0.7241, 0.7655, 0.807, 0.7655], q:[0.7448, 0.2759], qb:[0.4896, 0.4482], phi:[0.5104]] | [M:[[4], [-12], [12], [5], [-3], [-11], [-3]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$ | ${}M_{3}\phi_{1}q_{2}^{2}$ | -2 | 2*t^2.172 + 3*t^2.297 + t^2.421 + t^2.814 + t^2.938 + t^3.062 + t^3.186 + t^4.22 + 4*t^4.345 + 7*t^4.469 + 8*t^4.593 + 3*t^4.718 + t^4.842 + 2*t^4.986 + 5*t^5.11 + 6*t^5.234 + 5*t^5.359 + 3*t^5.483 + t^5.607 + t^5.627 + t^5.751 - 2*t^6. - t^6.124 + t^6.249 + t^6.373 + 2*t^6.393 + 7*t^6.517 + 11*t^6.641 + 15*t^6.766 + 14*t^6.89 + 7*t^7.014 + t^7.034 + 3*t^7.138 + 4*t^7.158 + t^7.263 + 10*t^7.282 + 14*t^7.407 + 15*t^7.531 + 12*t^7.655 + 8*t^7.78 + 2*t^7.799 + 3*t^7.904 + 4*t^7.924 + t^8.028 - 7*t^8.172 - 10*t^8.297 - 5*t^8.421 + 2*t^8.441 + 2*t^8.545 + 5*t^8.565 + 3*t^8.669 + 11*t^8.689 + t^8.794 + 13*t^8.814 + 14*t^8.938 - t^4.531/y - t^6.703/y - (2*t^6.828)/y - t^6.952/y + t^7.345/y + (6*t^7.469)/y + (5*t^7.593)/y + (3*t^7.718)/y + (2*t^7.986)/y + (6*t^8.11)/y + (8*t^8.234)/y + (7*t^8.359)/y + (4*t^8.483)/y + t^8.607/y + t^8.751/y - t^4.531*y - t^6.703*y - 2*t^6.828*y - t^6.952*y + t^7.345*y + 6*t^7.469*y + 5*t^7.593*y + 3*t^7.718*y + 2*t^7.986*y + 6*t^8.11*y + 8*t^8.234*y + 7*t^8.359*y + 4*t^8.483*y + t^8.607*y + t^8.751*y | 2*g1^5*t^2.172 + (3*t^2.297)/g1^3 + t^2.421/g1^11 + g1^12*t^2.814 + g1^4*t^2.938 + t^3.062/g1^4 + t^3.186/g1^12 + g1^18*t^4.22 + 4*g1^10*t^4.345 + 7*g1^2*t^4.469 + (8*t^4.593)/g1^6 + (3*t^4.718)/g1^14 + t^4.842/g1^22 + 2*g1^17*t^4.986 + 5*g1^9*t^5.11 + 6*g1*t^5.234 + (5*t^5.359)/g1^7 + (3*t^5.483)/g1^15 + t^5.607/g1^23 + g1^24*t^5.627 + g1^16*t^5.751 - 2*t^6. - t^6.124/g1^8 + t^6.249/g1^16 + t^6.373/g1^24 + 2*g1^23*t^6.393 + 7*g1^15*t^6.517 + 11*g1^7*t^6.641 + (15*t^6.766)/g1 + (14*t^6.89)/g1^9 + (7*t^7.014)/g1^17 + g1^30*t^7.034 + (3*t^7.138)/g1^25 + 4*g1^22*t^7.158 + t^7.263/g1^33 + 10*g1^14*t^7.282 + 14*g1^6*t^7.407 + (15*t^7.531)/g1^2 + (12*t^7.655)/g1^10 + (8*t^7.78)/g1^18 + 2*g1^29*t^7.799 + (3*t^7.904)/g1^26 + 4*g1^21*t^7.924 + t^8.028/g1^34 - 7*g1^5*t^8.172 - (10*t^8.297)/g1^3 - (5*t^8.421)/g1^11 + 2*g1^36*t^8.441 + (2*t^8.545)/g1^19 + 5*g1^28*t^8.565 + (3*t^8.669)/g1^27 + 11*g1^20*t^8.689 + t^8.794/g1^35 + 13*g1^12*t^8.814 + 14*g1^4*t^8.938 - t^4.531/(g1^2*y) - (g1^3*t^6.703)/y - (2*t^6.828)/(g1^5*y) - t^6.952/(g1^13*y) + (g1^10*t^7.345)/y + (6*g1^2*t^7.469)/y + (5*t^7.593)/(g1^6*y) + (3*t^7.718)/(g1^14*y) + (2*g1^17*t^7.986)/y + (6*g1^9*t^8.11)/y + (8*g1*t^8.234)/y + (7*t^8.359)/(g1^7*y) + (4*t^8.483)/(g1^15*y) + t^8.607/(g1^23*y) + (g1^16*t^8.751)/y - (t^4.531*y)/g1^2 - g1^3*t^6.703*y - (2*t^6.828*y)/g1^5 - (t^6.952*y)/g1^13 + g1^10*t^7.345*y + 6*g1^2*t^7.469*y + (5*t^7.593*y)/g1^6 + (3*t^7.718*y)/g1^14 + 2*g1^17*t^7.986*y + 6*g1^9*t^8.11*y + 8*g1*t^8.234*y + (7*t^8.359*y)/g1^7 + (4*t^8.483*y)/g1^15 + (t^8.607*y)/g1^23 + g1^16*t^8.751*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 |
|---|---|---|---|---|---|---|---|---|
| 5201 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6739 | 0.8999 | 0.7488 | [M:[0.9667, 1.0999, 0.9001, 0.7084, 0.775, 0.8416, 0.775, 0.9001], q:[0.7417, 0.2916], qb:[0.4833, 0.4167], phi:[0.5167]] | 2*t^2.125 + 3*t^2.325 + t^2.525 + 2*t^2.7 + t^2.9 + t^3.1 + t^4.05 + 4*t^4.25 + 7*t^4.45 + 8*t^4.65 + 4*t^4.825 + 3*t^4.85 + 8*t^5.025 + t^5.05 + 7*t^5.225 + 3*t^5.4 + 3*t^5.425 + 2*t^5.6 + t^5.8 - 3*t^6. - t^4.55/y - t^4.55*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2944 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6481 | 0.853 | 0.7598 | [M:[0.9775, 1.0675, 0.9325, 0.7219, 0.7669, 0.8118], q:[0.7444, 0.2781], qb:[0.4888, 0.4438], phi:[0.5112]] | 2*t^2.166 + 2*t^2.301 + t^2.436 + t^2.798 + t^2.933 + t^3.067 + t^3.202 + t^3.699 + t^4.196 + 4*t^4.331 + 5*t^4.466 + 5*t^4.601 + 2*t^4.736 + t^4.871 + 2*t^4.963 + 4*t^5.098 + 5*t^5.233 + 4*t^5.368 + 2*t^5.503 + t^5.595 + t^5.638 + t^5.73 + 2*t^5.865 - t^4.534/y - t^4.534*y | detail |