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 |
|---|---|---|---|---|---|---|---|---|---|
| 48245 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ | 0.6708 | 0.8256 | 0.8125 | [M:[0.6773, 1.1076, 0.9695, 0.7384, 1.2616], q:[0.7769, 0.5458], qb:[0.4847, 0.4077], phi:[0.4462]] | [M:[[36], [-12], [22], [-8], [8]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$ | ${}$ | -2 | t^2.032 + t^2.677 + t^2.86 + t^2.908 + t^3.323 + t^3.554 + 2*t^3.785 + t^4.016 + t^4.064 + t^4.199 + t^4.247 + t^4.43 + t^4.613 + t^4.709 + t^4.892 + t^4.94 + 2*t^5.355 + t^5.538 + t^5.586 + t^5.721 + 2*t^5.817 - 2*t^6. + t^6.048 + t^6.096 + t^6.231 + t^6.279 + 3*t^6.462 + 2*t^6.645 + 2*t^6.693 + t^6.741 + t^6.876 + 2*t^6.924 + t^6.972 + t^7.06 + 2*t^7.108 + t^7.291 + t^7.339 + 2*t^7.387 + t^7.474 + 3*t^7.57 + t^7.618 + 2*t^7.801 + 2*t^7.849 + t^7.984 + t^8.032 + t^8.08 + t^8.128 + t^8.215 + 2*t^8.263 + t^8.311 + 2*t^8.398 - t^8.446 + 3*t^8.494 + t^8.581 + 3*t^8.725 + t^8.773 + t^8.813 - 2*t^8.86 - 2*t^8.908 + 2*t^8.956 - t^4.339/y - t^6.371/y - t^7.247/y + t^7.43/y + t^7.709/y + t^7.892/y + t^7.94/y + t^8.307/y + t^8.355/y - t^8.403/y + t^8.538/y + (2*t^8.586)/y + t^8.769/y + (2*t^8.817)/y - t^4.339*y - t^6.371*y - t^7.247*y + t^7.43*y + t^7.709*y + t^7.892*y + t^7.94*y + t^8.307*y + t^8.355*y - t^8.403*y + t^8.538*y + 2*t^8.586*y + t^8.769*y + 2*t^8.817*y | g1^36*t^2.032 + g1^12*t^2.677 + t^2.86/g1^32 + g1^22*t^2.908 + t^3.323/g1^12 + t^3.554/g1^2 + 2*g1^8*t^3.785 + g1^18*t^4.016 + g1^72*t^4.064 + t^4.199/g1^26 + g1^28*t^4.247 + t^4.43/g1^16 + t^4.613/g1^60 + g1^48*t^4.709 + g1^4*t^4.892 + g1^58*t^4.94 + 2*g1^24*t^5.355 + t^5.538/g1^20 + g1^34*t^5.586 + t^5.721/g1^64 + 2*g1^44*t^5.817 - 2*t^6. + g1^54*t^6.048 + g1^108*t^6.096 + g1^10*t^6.231 + g1^64*t^6.279 + 3*g1^20*t^6.462 + (2*t^6.645)/g1^24 + 2*g1^30*t^6.693 + g1^84*t^6.741 + t^6.876/g1^14 + 2*g1^40*t^6.924 + g1^94*t^6.972 + t^7.06/g1^58 + (2*t^7.108)/g1^4 + t^7.291/g1^48 + g1^6*t^7.339 + 2*g1^60*t^7.387 + t^7.474/g1^92 + 3*g1^16*t^7.57 + g1^70*t^7.618 + 2*g1^26*t^7.801 + 2*g1^80*t^7.849 + t^7.984/g1^18 + g1^36*t^8.032 + g1^90*t^8.08 + g1^144*t^8.128 + t^8.215/g1^8 + 2*g1^46*t^8.263 + g1^100*t^8.311 + (2*t^8.398)/g1^52 - g1^2*t^8.446 + 3*g1^56*t^8.494 + t^8.581/g1^96 + 3*g1^66*t^8.725 + g1^120*t^8.773 + t^8.813/g1^86 - (2*t^8.86)/g1^32 - 2*g1^22*t^8.908 + 2*g1^76*t^8.956 - (g1^6*t^4.339)/y - (g1^42*t^6.371)/y - (g1^28*t^7.247)/y + t^7.43/(g1^16*y) + (g1^48*t^7.709)/y + (g1^4*t^7.892)/y + (g1^58*t^7.94)/y + t^8.307/(g1^30*y) + (g1^24*t^8.355)/y - (g1^78*t^8.403)/y + t^8.538/(g1^20*y) + (2*g1^34*t^8.586)/y + t^8.769/(g1^10*y) + (2*g1^44*t^8.817)/y - g1^6*t^4.339*y - g1^42*t^6.371*y - g1^28*t^7.247*y + (t^7.43*y)/g1^16 + g1^48*t^7.709*y + g1^4*t^7.892*y + g1^58*t^7.94*y + (t^8.307*y)/g1^30 + g1^24*t^8.355*y - g1^78*t^8.403*y + (t^8.538*y)/g1^20 + 2*g1^34*t^8.586*y + (t^8.769*y)/g1^10 + 2*g1^44*t^8.817*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 |
|---|---|---|---|---|---|---|---|---|
| 53916 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6483 | 0.799 | 0.8114 | [M:[0.8235, 1.0588, 1.0588, 0.7059, 1.2941], q:[0.7647, 0.4118], qb:[0.5294, 0.4118], phi:[0.4706]] | 2*t^2.471 + t^2.824 + 2*t^3.176 + t^3.529 + 4*t^3.882 + 2*t^4.235 + t^4.588 + 3*t^4.941 + 2*t^5.294 + 3*t^5.647 - t^6. - t^4.412/y - t^4.412*y | detail | {a: 50961/78608, c: 31405/39304, M1: 14/17, M2: 18/17, M3: 18/17, M4: 12/17, M5: 22/17, q1: 13/17, q2: 7/17, qb1: 9/17, qb2: 7/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46744 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6903 | 0.8614 | 0.8014 | [M:[0.6811, 1.1063, 0.9718, 0.7375], q:[0.7766, 0.5423], qb:[0.4859, 0.4078], phi:[0.4469]] | t^2.043 + t^2.213 + t^2.681 + t^2.85 + t^2.915 + t^3.319 + t^3.553 + t^3.787 + t^4.022 + t^4.087 + t^4.191 + 2*t^4.256 + 2*t^4.425 + t^4.594 + t^4.725 + 2*t^4.894 + t^4.959 + t^5.063 + t^5.128 + 2*t^5.362 + 2*t^5.531 + t^5.597 + t^5.701 + t^5.766 + t^5.831 - t^6. - t^4.341/y - t^4.341*y | detail |