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 |
|---|---|---|---|---|---|---|---|---|---|
| 55053 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6369 | 0.8365 | 0.7614 | [M:[0.9529, 0.8586, 0.9529, 0.8063, 0.712, 1.1414], q:[0.7382, 0.3089], qb:[0.4031, 0.4555], phi:[0.5236]] | [M:[[4], [12], [4], [-26], [-18], [-12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}M_{2}M_{6}$ | -1 | 2*t^2.136 + t^2.293 + t^2.419 + t^2.576 + 2*t^2.859 + 2*t^3.424 + t^3.707 + t^3.99 + t^4.147 + 3*t^4.272 + t^4.304 + 2*t^4.429 + 2*t^4.555 + t^4.586 + 3*t^4.712 + t^4.838 + t^4.869 + 5*t^4.995 + 3*t^5.152 + 2*t^5.278 + 2*t^5.435 + 3*t^5.56 + 3*t^5.717 + 3*t^5.843 - t^6. + 3*t^6.126 - t^6.157 + 4*t^6.283 + 5*t^6.408 + t^6.44 + 5*t^6.565 + t^6.597 + 3*t^6.691 + 2*t^6.722 + 7*t^6.848 + 2*t^6.88 + 2*t^6.974 + 2*t^7.005 + 9*t^7.131 + 2*t^7.162 + t^7.257 + 3*t^7.288 + 6*t^7.414 + 2*t^7.445 + 4*t^7.571 + 7*t^7.696 + 2*t^7.728 + 5*t^7.853 + 5*t^7.979 + 3*t^8.01 + 6*t^8.262 - t^8.293 + 3*t^8.419 + 8*t^8.545 + t^8.607 + 8*t^8.702 + 5*t^8.827 - 3*t^8.859 + t^8.89 + 12*t^8.984 - t^4.571/y - t^6.707/y - t^6.99/y + t^7.272/y + t^7.429/y + (2*t^7.555)/y + (4*t^7.712)/y + t^7.869/y + (5*t^7.995)/y + (3*t^8.152)/y + (2*t^8.278)/y + (3*t^8.435)/y + (4*t^8.56)/y + (3*t^8.717)/y + (3*t^8.843)/y - t^4.571*y - t^6.707*y - t^6.99*y + t^7.272*y + t^7.429*y + 2*t^7.555*y + 4*t^7.712*y + t^7.869*y + 5*t^7.995*y + 3*t^8.152*y + 2*t^8.278*y + 3*t^8.435*y + 4*t^8.56*y + 3*t^8.717*y + 3*t^8.843*y | (2*t^2.136)/g1^18 + g1^20*t^2.293 + t^2.419/g1^26 + g1^12*t^2.576 + 2*g1^4*t^2.859 + (2*t^3.424)/g1^12 + t^3.707/g1^20 + t^3.99/g1^28 + g1^10*t^4.147 + (3*t^4.272)/g1^36 + g1^48*t^4.304 + 2*g1^2*t^4.429 + (2*t^4.555)/g1^44 + g1^40*t^4.586 + (3*t^4.712)/g1^6 + t^4.838/g1^52 + g1^32*t^4.869 + (5*t^4.995)/g1^14 + 3*g1^24*t^5.152 + (2*t^5.278)/g1^22 + 2*g1^16*t^5.435 + (3*t^5.56)/g1^30 + 3*g1^8*t^5.717 + (3*t^5.843)/g1^38 - t^6. + (3*t^6.126)/g1^46 - g1^38*t^6.157 + (4*t^6.283)/g1^8 + (5*t^6.408)/g1^54 + g1^30*t^6.44 + (5*t^6.565)/g1^16 + g1^68*t^6.597 + (3*t^6.691)/g1^62 + 2*g1^22*t^6.722 + (7*t^6.848)/g1^24 + 2*g1^60*t^6.88 + (2*t^6.974)/g1^70 + 2*g1^14*t^7.005 + (9*t^7.131)/g1^32 + 2*g1^52*t^7.162 + t^7.257/g1^78 + 3*g1^6*t^7.288 + (6*t^7.414)/g1^40 + 2*g1^44*t^7.445 + (4*t^7.571)/g1^2 + (7*t^7.696)/g1^48 + 2*g1^36*t^7.728 + (5*t^7.853)/g1^10 + (5*t^7.979)/g1^56 + 3*g1^28*t^8.01 + (6*t^8.262)/g1^64 - g1^20*t^8.293 + (3*t^8.419)/g1^26 + (8*t^8.545)/g1^72 + g1^96*t^8.607 + (8*t^8.702)/g1^34 + (5*t^8.827)/g1^80 - 3*g1^4*t^8.859 + g1^88*t^8.89 + (12*t^8.984)/g1^42 - t^4.571/(g1^2*y) - t^6.707/(g1^20*y) - t^6.99/(g1^28*y) + t^7.272/(g1^36*y) + (g1^2*t^7.429)/y + (2*t^7.555)/(g1^44*y) + (4*t^7.712)/(g1^6*y) + (g1^32*t^7.869)/y + (5*t^7.995)/(g1^14*y) + (3*g1^24*t^8.152)/y + (2*t^8.278)/(g1^22*y) + (3*g1^16*t^8.435)/y + (4*t^8.56)/(g1^30*y) + (3*g1^8*t^8.717)/y + (3*t^8.843)/(g1^38*y) - (t^4.571*y)/g1^2 - (t^6.707*y)/g1^20 - (t^6.99*y)/g1^28 + (t^7.272*y)/g1^36 + g1^2*t^7.429*y + (2*t^7.555*y)/g1^44 + (4*t^7.712*y)/g1^6 + g1^32*t^7.869*y + (5*t^7.995*y)/g1^14 + 3*g1^24*t^8.152*y + (2*t^8.278*y)/g1^22 + 3*g1^16*t^8.435*y + (4*t^8.56*y)/g1^30 + 3*g1^8*t^8.717*y + (3*t^8.843*y)/g1^38 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56733 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6578 | 0.878 | 0.7492 | [M:[0.9528, 0.8584, 0.9528, 0.8069, 0.7125, 1.1416, 0.6695], q:[0.7382, 0.309], qb:[0.4034, 0.4549], phi:[0.5236]] | t^2.009 + 2*t^2.137 + t^2.292 + t^2.421 + t^2.575 + 2*t^2.858 + 2*t^3.425 + t^3.708 + t^4.017 + 3*t^4.146 + 3*t^4.275 + 2*t^4.3 + 3*t^4.429 + 2*t^4.558 + 2*t^4.584 + 3*t^4.712 + t^4.841 + 3*t^4.867 + 5*t^4.996 + 3*t^5.15 + 2*t^5.279 + 4*t^5.433 + 3*t^5.562 + 4*t^5.717 + 3*t^5.846 - t^6. - t^4.571/y - t^4.571*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46888 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6496 | 0.8576 | 0.7574 | [M:[0.951, 0.853, 0.951, 0.8184, 0.7205], q:[0.7378, 0.3112], qb:[0.4092, 0.4438], phi:[0.5245]] | 2*t^2.161 + t^2.265 + t^2.455 + 2*t^2.559 + 2*t^2.853 + t^3.441 + t^3.735 + t^4.029 + t^4.133 + t^4.236 + 3*t^4.323 + 2*t^4.427 + t^4.53 + 2*t^4.617 + 5*t^4.72 + 2*t^4.824 + t^4.911 + 6*t^5.014 + 5*t^5.118 + 2*t^5.308 + 4*t^5.412 + t^5.602 + 2*t^5.706 + 2*t^5.896 - t^6. - t^4.573/y - t^4.573*y | detail |