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 |
|---|---|---|---|---|---|---|---|---|---|
| 56591 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6959 | 0.8755 | 0.7948 | [M:[1.163, 1.0296, 0.837, 0.7778, 0.9704, 0.7703, 0.837], q:[0.3889, 0.4481], qb:[0.5815, 0.7741], phi:[0.4519]] | [M:[[-14], [22], [14], [-30], [-22], [32], [14]], q:[[-15], [29]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -2 | t^2.311 + t^2.333 + 2*t^2.511 + t^2.711 + t^2.911 + t^3.089 + t^3.867 + t^4.044 + t^4.067 + t^4.267 + t^4.444 + t^4.622 + t^4.644 + t^4.667 + 2*t^4.822 + 3*t^4.845 + 4*t^5.022 + t^5.045 + 3*t^5.222 + t^5.245 + t^5.4 + 3*t^5.422 + t^5.6 + t^5.622 + t^5.8 - 2*t^6. + t^6.178 + t^6.355 + 3*t^6.378 + 2*t^6.555 + t^6.578 + t^6.6 + 2*t^6.755 + 2*t^6.778 + t^6.933 + 3*t^6.955 + t^6.978 + t^7. + 3*t^7.133 + 3*t^7.155 + 3*t^7.178 + 3*t^7.333 + 4*t^7.356 + t^7.378 + 6*t^7.533 + 3*t^7.556 + t^7.578 + t^7.711 + 5*t^7.733 + 2*t^7.756 + 2*t^7.911 + 4*t^7.933 + t^7.956 + t^8.088 + 2*t^8.111 + 2*t^8.133 - t^8.311 - 2*t^8.333 + 2*t^8.489 - 4*t^8.511 + t^8.666 + 2*t^8.689 - 2*t^8.711 + 2*t^8.866 + 5*t^8.889 - 3*t^8.911 + t^8.934 - t^4.356/y - t^6.667/y - t^6.689/y - t^6.867/y - t^7.067/y + (2*t^7.644)/y + (2*t^7.822)/y + (3*t^7.845)/y + (3*t^8.022)/y + (2*t^8.045)/y + (3*t^8.222)/y + t^8.245/y + t^8.4/y + (3*t^8.422)/y + (2*t^8.6)/y + t^8.622/y + t^8.8/y - t^8.978/y - t^4.356*y - t^6.667*y - t^6.689*y - t^6.867*y - t^7.067*y + 2*t^7.644*y + 2*t^7.822*y + 3*t^7.845*y + 3*t^8.022*y + 2*t^8.045*y + 3*t^8.222*y + t^8.245*y + t^8.4*y + 3*t^8.422*y + 2*t^8.6*y + t^8.622*y + t^8.8*y - t^8.978*y | g1^32*t^2.311 + t^2.333/g1^30 + 2*g1^14*t^2.511 + t^2.711/g1^4 + t^2.911/g1^22 + g1^22*t^3.089 + g1^12*t^3.867 + g1^56*t^4.044 + t^4.067/g1^6 + t^4.267/g1^24 + g1^20*t^4.444 + g1^64*t^4.622 + g1^2*t^4.644 + t^4.667/g1^60 + 2*g1^46*t^4.822 + (3*t^4.845)/g1^16 + 4*g1^28*t^5.022 + t^5.045/g1^34 + 3*g1^10*t^5.222 + t^5.245/g1^52 + g1^54*t^5.4 + (3*t^5.422)/g1^8 + g1^36*t^5.6 + t^5.622/g1^26 + g1^18*t^5.8 - 2*t^6. + g1^44*t^6.178 + g1^88*t^6.355 + 3*g1^26*t^6.378 + 2*g1^70*t^6.555 + g1^8*t^6.578 + t^6.6/g1^54 + 2*g1^52*t^6.755 + (2*t^6.778)/g1^10 + g1^96*t^6.933 + 3*g1^34*t^6.955 + t^6.978/g1^28 + t^7./g1^90 + 3*g1^78*t^7.133 + 3*g1^16*t^7.155 + (3*t^7.178)/g1^46 + 3*g1^60*t^7.333 + (4*t^7.356)/g1^2 + t^7.378/g1^64 + 6*g1^42*t^7.533 + (3*t^7.556)/g1^20 + t^7.578/g1^82 + g1^86*t^7.711 + 5*g1^24*t^7.733 + (2*t^7.756)/g1^38 + 2*g1^68*t^7.911 + 4*g1^6*t^7.933 + t^7.956/g1^56 + g1^112*t^8.088 + 2*g1^50*t^8.111 + (2*t^8.133)/g1^12 - g1^32*t^8.311 - (2*t^8.333)/g1^30 + 2*g1^76*t^8.489 - 4*g1^14*t^8.511 + g1^120*t^8.666 + 2*g1^58*t^8.689 - (2*t^8.711)/g1^4 + 2*g1^102*t^8.866 + 5*g1^40*t^8.889 - (3*t^8.911)/g1^22 + t^8.934/g1^84 - t^4.356/(g1^2*y) - (g1^30*t^6.667)/y - t^6.689/(g1^32*y) - (g1^12*t^6.867)/y - t^7.067/(g1^6*y) + (2*g1^2*t^7.644)/y + (2*g1^46*t^7.822)/y + (3*t^7.845)/(g1^16*y) + (3*g1^28*t^8.022)/y + (2*t^8.045)/(g1^34*y) + (3*g1^10*t^8.222)/y + t^8.245/(g1^52*y) + (g1^54*t^8.4)/y + (3*t^8.422)/(g1^8*y) + (2*g1^36*t^8.6)/y + t^8.622/(g1^26*y) + (g1^18*t^8.8)/y - (g1^62*t^8.978)/y - (t^4.356*y)/g1^2 - g1^30*t^6.667*y - (t^6.689*y)/g1^32 - g1^12*t^6.867*y - (t^7.067*y)/g1^6 + 2*g1^2*t^7.644*y + 2*g1^46*t^7.822*y + (3*t^7.845*y)/g1^16 + 3*g1^28*t^8.022*y + (2*t^8.045*y)/g1^34 + 3*g1^10*t^8.222*y + (t^8.245*y)/g1^52 + g1^54*t^8.4*y + (3*t^8.422*y)/g1^8 + 2*g1^36*t^8.6*y + (t^8.622*y)/g1^26 + g1^18*t^8.8*y - g1^62*t^8.978*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 |
|---|---|---|---|---|---|---|---|---|
| 58688 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}X_{1}$ | 0.5849 | 0.7208 | 0.8115 | [X:[1.4783], M:[1.0435, 1.2174, 0.9565, 0.5217, 0.7826, 1.0435, 0.9565], q:[0.2609, 0.6957], qb:[0.5217, 0.7826], phi:[0.4348]] | t^2.348 + t^2.609 + 2*t^2.87 + t^3.13 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.435 + 2*t^4.957 + 2*t^5.217 + 3*t^5.478 + 3*t^5.739 - t^4.304/y - t^4.304*y | detail | {a: 56931/97336, c: 17539/24334, X1: 34/23, M1: 24/23, M2: 28/23, M3: 22/23, M4: 12/23, M5: 18/23, M6: 24/23, M7: 22/23, q1: 6/23, q2: 16/23, qb1: 12/23, qb2: 18/23, phi1: 10/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 54638 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.682 | 0.8512 | 0.8012 | [M:[1.158, 1.0374, 0.842, 0.7672, 0.9626, 0.7816], q:[0.3836, 0.4583], qb:[0.579, 0.7744], phi:[0.4511]] | t^2.302 + t^2.345 + t^2.526 + t^2.707 + t^2.888 + t^3.112 + t^3.474 + t^3.879 + t^4.06 + t^4.103 + t^4.241 + t^4.466 + t^4.603 + t^4.647 + t^4.69 + 2*t^4.828 + t^4.871 + t^5.009 + 2*t^5.052 + t^5.19 + 2*t^5.233 + 2*t^5.414 + t^5.457 + t^5.595 + t^5.776 + 2*t^5.819 - t^6. - t^4.353/y - t^4.353*y | detail |