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 |
|---|---|---|---|---|---|---|---|---|---|
| 4440 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6864 | 0.8774 | 0.7824 | [X:[1.567], M:[0.433, 1.189, 0.7835, 0.8661, 0.811, 0.7009, 0.8385, 0.7835], q:[0.7972, 0.7697], qb:[0.4468, 0.3642], phi:[0.4055]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4], [36], [-14], [6]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{3}$, ${ }M_{8}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.103 + 2*t^2.35 + 2*t^2.433 + t^2.516 + t^2.598 + t^3.402 + t^3.732 + t^4.205 + 2*t^4.453 + 2*t^4.536 + 2*t^4.618 + 5*t^4.701 + 3*t^4.783 + 6*t^4.866 + 4*t^4.949 + 2*t^5.031 + t^5.114 + t^5.197 + t^5.504 + t^5.752 + 4*t^5.835 - 3*t^6. + t^6.083 + t^6.165 - t^6.248 + t^6.308 + t^6.33 + 2*t^6.556 + 2*t^6.638 + 2*t^6.721 + 6*t^6.803 + 3*t^6.886 + 5*t^6.969 + 10*t^7.051 + 7*t^7.134 + 8*t^7.217 + 11*t^7.299 + 7*t^7.382 + 5*t^7.464 + 4*t^7.547 + t^7.607 + 2*t^7.63 + t^7.712 + t^7.795 + t^7.855 + 4*t^7.937 + t^8.02 - 2*t^8.103 + 2*t^8.185 + 3*t^8.268 - 7*t^8.35 + t^8.41 - 4*t^8.433 - 5*t^8.516 - 4*t^8.598 + 2*t^8.658 - t^8.681 + 2*t^8.741 - t^8.763 + 2*t^8.824 - t^8.846 + 6*t^8.906 + t^8.929 + 3*t^8.989 - t^4.217/y - t^6.319/y - (2*t^6.567)/y - t^6.65/y - t^6.732/y - t^6.815/y + (2*t^7.453)/y + (2*t^7.536)/y + (2*t^7.618)/y + (3*t^7.701)/y + (5*t^7.783)/y + (5*t^7.866)/y + (4*t^7.949)/y + (2*t^8.031)/y + (2*t^8.114)/y - t^8.422/y + t^8.504/y - (2*t^8.67)/y + t^8.752/y + (2*t^8.835)/y - (3*t^8.917)/y - t^4.217*y - t^6.319*y - 2*t^6.567*y - t^6.65*y - t^6.732*y - t^6.815*y + 2*t^7.453*y + 2*t^7.536*y + 2*t^7.618*y + 3*t^7.701*y + 5*t^7.783*y + 5*t^7.866*y + 4*t^7.949*y + 2*t^8.031*y + 2*t^8.114*y - t^8.422*y + t^8.504*y - 2*t^8.67*y + t^8.752*y + 2*t^8.835*y - 3*t^8.917*y | g1^36*t^2.103 + 2*g1^6*t^2.35 + (2*t^2.433)/g1^4 + t^2.516/g1^14 + t^2.598/g1^24 + g1^24*t^3.402 + t^3.732/g1^16 + g1^72*t^4.205 + 2*g1^42*t^4.453 + 2*g1^32*t^4.536 + 2*g1^22*t^4.618 + 5*g1^12*t^4.701 + 3*g1^2*t^4.783 + (6*t^4.866)/g1^8 + (4*t^4.949)/g1^18 + (2*t^5.031)/g1^28 + t^5.114/g1^38 + t^5.197/g1^48 + g1^60*t^5.504 + g1^30*t^5.752 + 4*g1^20*t^5.835 - 3*t^6. + t^6.083/g1^10 + t^6.165/g1^20 - t^6.248/g1^30 + g1^108*t^6.308 + t^6.33/g1^40 + 2*g1^78*t^6.556 + 2*g1^68*t^6.638 + 2*g1^58*t^6.721 + 6*g1^48*t^6.803 + 3*g1^38*t^6.886 + 5*g1^28*t^6.969 + 10*g1^18*t^7.051 + 7*g1^8*t^7.134 + (8*t^7.217)/g1^2 + (11*t^7.299)/g1^12 + (7*t^7.382)/g1^22 + (5*t^7.464)/g1^32 + (4*t^7.547)/g1^42 + g1^96*t^7.607 + (2*t^7.63)/g1^52 + t^7.712/g1^62 + t^7.795/g1^72 + g1^66*t^7.855 + 4*g1^56*t^7.937 + g1^46*t^8.02 - 2*g1^36*t^8.103 + 2*g1^26*t^8.185 + 3*g1^16*t^8.268 - 7*g1^6*t^8.35 + g1^144*t^8.41 - (4*t^8.433)/g1^4 - (5*t^8.516)/g1^14 - (4*t^8.598)/g1^24 + 2*g1^114*t^8.658 - t^8.681/g1^34 + 2*g1^104*t^8.741 - t^8.763/g1^44 + 2*g1^94*t^8.824 - t^8.846/g1^54 + 6*g1^84*t^8.906 + t^8.929/g1^64 + 3*g1^74*t^8.989 - t^4.217/(g1^2*y) - (g1^34*t^6.319)/y - (2*g1^4*t^6.567)/y - t^6.65/(g1^6*y) - t^6.732/(g1^16*y) - t^6.815/(g1^26*y) + (2*g1^42*t^7.453)/y + (2*g1^32*t^7.536)/y + (2*g1^22*t^7.618)/y + (3*g1^12*t^7.701)/y + (5*g1^2*t^7.783)/y + (5*t^7.866)/(g1^8*y) + (4*t^7.949)/(g1^18*y) + (2*t^8.031)/(g1^28*y) + (2*t^8.114)/(g1^38*y) - (g1^70*t^8.422)/y + (g1^60*t^8.504)/y - (2*g1^40*t^8.67)/y + (g1^30*t^8.752)/y + (2*g1^20*t^8.835)/y - (3*g1^10*t^8.917)/y - (t^4.217*y)/g1^2 - g1^34*t^6.319*y - 2*g1^4*t^6.567*y - (t^6.65*y)/g1^6 - (t^6.732*y)/g1^16 - (t^6.815*y)/g1^26 + 2*g1^42*t^7.453*y + 2*g1^32*t^7.536*y + 2*g1^22*t^7.618*y + 3*g1^12*t^7.701*y + 5*g1^2*t^7.783*y + (5*t^7.866*y)/g1^8 + (4*t^7.949*y)/g1^18 + (2*t^8.031*y)/g1^28 + (2*t^8.114*y)/g1^38 - g1^70*t^8.422*y + g1^60*t^8.504*y - 2*g1^40*t^8.67*y + g1^30*t^8.752*y + 2*g1^20*t^8.835*y - 3*g1^10*t^8.917*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2398 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.669 | 0.8463 | 0.7905 | [X:[1.5691], M:[0.4309, 1.1897, 0.7845, 0.8619, 0.8103, 0.7072, 0.8361], q:[0.7974, 0.7716], qb:[0.4438, 0.3665], phi:[0.4052]] | t^2.122 + t^2.354 + 2*t^2.431 + t^2.508 + t^2.586 + t^3.414 + t^3.646 + t^3.724 + t^4.243 + t^4.475 + 2*t^4.552 + 2*t^4.63 + 3*t^4.707 + t^4.785 + 5*t^4.862 + 3*t^4.939 + 2*t^5.017 + t^5.094 + t^5.171 + t^5.536 + t^5.768 + 4*t^5.845 - 2*t^6. - t^4.215/y - t^4.215*y | detail | {a: 131507/196566, c: 332699/393132, X1: 284/181, M1: 78/181, M2: 646/543, M3: 142/181, M4: 156/181, M5: 440/543, M6: 128/181, M7: 454/543, q1: 433/543, q2: 419/543, qb1: 241/543, qb2: 199/543, phi1: 220/543} |