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 |
|---|---|---|---|---|---|---|---|---|---|
| 4415 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6601 | 0.8316 | 0.7938 | [M:[0.8702, 1.0316, 1.0667, 0.807, 1.1298, 1.193, 0.807, 0.7719], q:[0.7579, 0.3719], qb:[0.4351, 0.4983], phi:[0.4842]] | [M:[[14], [12], [-38], [-10], [-14], [10], [-10], [40]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{8}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$ | ${}$ | -2 | t^2.316 + 2*t^2.421 + t^2.611 + t^3.095 + t^3.2 + t^3.389 + t^3.768 + t^3.874 + 2*t^4.063 + t^4.253 + t^4.442 + t^4.632 + 2*t^4.737 + 3*t^4.842 + t^4.926 + 2*t^5.032 + t^5.221 + t^5.411 + 3*t^5.516 + t^5.621 + 2*t^5.705 + t^5.811 - 2*t^6. + t^6.084 + t^6.189 + 2*t^6.295 + 2*t^6.379 + t^6.4 + 4*t^6.484 + t^6.568 + t^6.589 + 2*t^6.674 + t^6.758 - t^6.779 + 3*t^6.863 + t^6.947 + 3*t^7.053 + 3*t^7.158 + t^7.242 + 4*t^7.263 + 2*t^7.347 + 2*t^7.453 + 2*t^7.537 + t^7.642 + t^7.726 + 4*t^7.832 + 4*t^7.937 + 2*t^8.021 + t^8.042 + 4*t^8.126 + t^8.211 + t^8.4 - 5*t^8.421 + 3*t^8.505 - t^8.611 + 3*t^8.695 + 3*t^8.716 + 2*t^8.8 + t^8.821 + 2*t^8.884 + 5*t^8.905 + 2*t^8.99 - t^4.453/y - t^6.768/y - t^6.874/y + t^7.253/y - t^7.653/y + (2*t^7.737)/y + t^7.842/y + t^7.926/y + (3*t^8.032)/y + t^8.137/y + t^8.411/y + (3*t^8.516)/y + (2*t^8.621)/y + (2*t^8.705)/y + (3*t^8.811)/y - t^4.453*y - t^6.768*y - t^6.874*y + t^7.253*y - t^7.653*y + 2*t^7.737*y + t^7.842*y + t^7.926*y + 3*t^8.032*y + t^8.137*y + t^8.411*y + 3*t^8.516*y + 2*t^8.621*y + 2*t^8.705*y + 3*t^8.811*y | g1^40*t^2.316 + (2*t^2.421)/g1^10 + g1^14*t^2.611 + g1^12*t^3.095 + t^3.2/g1^38 + t^3.389/g1^14 + g1^34*t^3.768 + t^3.874/g1^16 + 2*g1^8*t^4.063 + g1^32*t^4.253 + g1^56*t^4.442 + g1^80*t^4.632 + 2*g1^30*t^4.737 + (3*t^4.842)/g1^20 + g1^54*t^4.926 + 2*g1^4*t^5.032 + g1^28*t^5.221 + g1^52*t^5.411 + 3*g1^2*t^5.516 + t^5.621/g1^48 + 2*g1^26*t^5.705 + t^5.811/g1^24 - 2*t^6. + g1^74*t^6.084 + g1^24*t^6.189 + (2*t^6.295)/g1^26 + 2*g1^48*t^6.379 + t^6.4/g1^76 + (4*t^6.484)/g1^2 + g1^72*t^6.568 + t^6.589/g1^52 + 2*g1^22*t^6.674 + g1^96*t^6.758 - t^6.779/g1^28 + 3*g1^46*t^6.863 + g1^120*t^6.947 + 3*g1^70*t^7.053 + 3*g1^20*t^7.158 + g1^94*t^7.242 + (4*t^7.263)/g1^30 + 2*g1^44*t^7.347 + (2*t^7.453)/g1^6 + 2*g1^68*t^7.537 + g1^18*t^7.642 + g1^92*t^7.726 + 4*g1^42*t^7.832 + (4*t^7.937)/g1^8 + 2*g1^66*t^8.021 + t^8.042/g1^58 + 4*g1^16*t^8.126 + g1^90*t^8.211 + g1^114*t^8.4 - (5*t^8.421)/g1^10 + 3*g1^64*t^8.505 - g1^14*t^8.611 + 3*g1^88*t^8.695 + (3*t^8.716)/g1^36 + 2*g1^38*t^8.8 + t^8.821/g1^86 + 2*g1^112*t^8.884 + (5*t^8.905)/g1^12 + 2*g1^62*t^8.99 - t^4.453/(g1^6*y) - (g1^34*t^6.768)/y - t^6.874/(g1^16*y) + (g1^32*t^7.253)/y - t^7.653/(g1^44*y) + (2*g1^30*t^7.737)/y + t^7.842/(g1^20*y) + (g1^54*t^7.926)/y + (3*g1^4*t^8.032)/y + t^8.137/(g1^46*y) + (g1^52*t^8.411)/y + (3*g1^2*t^8.516)/y + (2*t^8.621)/(g1^48*y) + (2*g1^26*t^8.705)/y + (3*t^8.811)/(g1^24*y) - (t^4.453*y)/g1^6 - g1^34*t^6.768*y - (t^6.874*y)/g1^16 + g1^32*t^7.253*y - (t^7.653*y)/g1^44 + 2*g1^30*t^7.737*y + (t^7.842*y)/g1^20 + g1^54*t^7.926*y + 3*g1^4*t^8.032*y + (t^8.137*y)/g1^46 + g1^52*t^8.411*y + 3*g1^2*t^8.516*y + (2*t^8.621*y)/g1^48 + 2*g1^26*t^8.705*y + (3*t^8.811*y)/g1^24 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5926 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$ | 0.6011 | 0.7585 | 0.7925 | [M:[0.963, 1.1111, 0.8148, 0.7407, 1.037, 1.2593, 0.7407, 1.037], q:[0.7778, 0.2593], qb:[0.4815, 0.7037], phi:[0.4444]] | 2*t^2.222 + t^2.444 + t^2.889 + 2*t^3.111 + t^3.333 + t^3.556 + 2*t^4.222 + 4*t^4.444 + t^4.667 + 2*t^4.889 + 2*t^5.111 + 3*t^5.333 + 5*t^5.556 + 3*t^5.778 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 2629/4374, c: 6635/8748, M1: 26/27, M2: 10/9, M3: 22/27, M4: 20/27, M5: 28/27, M6: 34/27, M7: 20/27, M8: 28/27, q1: 7/9, q2: 7/27, qb1: 13/27, qb2: 19/27, phi1: 4/9} |
| 5918 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{8}^{2}$ | 0.6159 | 0.7753 | 0.7944 | [M:[0.95, 1.1, 0.85, 0.75, 1.05, 1.25, 0.75, 1.0], q:[0.775, 0.275], qb:[0.475, 0.675], phi:[0.45]] | 2*t^2.25 + t^2.55 + t^2.85 + t^3. + t^3.15 + t^3.3 + t^3.6 + 2*t^4.2 + t^4.35 + 3*t^4.5 + 2*t^4.8 + 3*t^5.1 + 2*t^5.25 + 2*t^5.4 + 3*t^5.55 + 2*t^5.7 + 3*t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail | {a: 157671/256000, c: 198471/256000, M1: 19/20, M2: 11/10, M3: 17/20, M4: 3/4, M5: 21/20, M6: 5/4, M7: 3/4, M8: 1, q1: 31/40, q2: 11/40, qb1: 19/40, qb2: 27/40, phi1: 9/20} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2391 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.643 | 0.8005 | 0.8032 | [M:[0.8823, 1.042, 1.0337, 0.7983, 1.1177, 1.2017, 0.7983], q:[0.7605, 0.3572], qb:[0.4412, 0.5251], phi:[0.479]] | 2*t^2.395 + t^2.647 + t^3.101 + t^3.126 + t^3.353 + t^3.58 + t^3.832 + t^3.857 + 2*t^4.084 + t^4.336 + t^4.588 + 3*t^4.79 + 2*t^5.042 + t^5.294 + t^5.496 + 2*t^5.521 + t^5.748 + t^5.773 + 2*t^5.975 - 2*t^6. - t^4.437/y - t^4.437*y | detail |