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 |
|---|---|---|---|---|---|---|---|---|---|
| 4728 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6839 | 0.8628 | 0.7927 | [M:[1.0322, 0.7977, 1.0, 0.8299, 1.1701, 0.7126, 1.2023, 0.6804], q:[0.5689, 0.3988], qb:[0.4311, 0.7713], phi:[0.4575]] | [M:[[-22], [14], [0], [-8], [8], [10], [-14], [32]], q:[[15], [7]], qb:[[-15], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{8}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{8}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{8}$, ${ }M_{5}M_{6}$, ${ }M_{7}M_{8}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -1 | t^2.041 + t^2.138 + t^2.49 + t^2.745 + t^3. + t^3.097 + t^3.51 + t^3.607 + t^3.765 + t^4.021 + t^4.082 + t^4.179 + 2*t^4.276 + t^4.372 + t^4.531 + t^4.628 + 2*t^4.786 + t^4.883 + t^4.979 + t^5.041 + 2*t^5.138 + 2*t^5.235 + t^5.49 + t^5.552 + 2*t^5.648 + 2*t^5.745 + t^5.807 + t^5.842 - t^6. + t^6.062 + t^6.097 + t^6.124 + t^6.158 + t^6.193 + t^6.22 + t^6.255 + 2*t^6.317 + 2*t^6.414 + 2*t^6.51 + t^6.572 + t^6.607 + t^6.669 + t^6.704 + 2*t^6.765 + 2*t^6.827 + 2*t^6.924 - t^6.959 + 3*t^7.021 + t^7.082 + 2*t^7.117 + 2*t^7.179 + 4*t^7.276 + 2*t^7.372 + 3*t^7.531 + t^7.593 + t^7.628 + 2*t^7.689 + 4*t^7.786 + t^7.848 + 3*t^7.883 + 2*t^7.979 + t^8.103 - t^8.138 + t^8.165 + t^8.2 + t^8.235 + t^8.262 + 3*t^8.296 + t^8.331 + 2*t^8.358 + t^8.393 + 2*t^8.455 - t^8.49 + 4*t^8.552 + t^8.586 + t^8.613 + t^8.648 + t^8.71 + t^8.745 + 3*t^8.807 + t^8.842 + 2*t^8.868 + t^8.938 + 2*t^8.965 - t^4.372/y - t^6.414/y - t^6.51/y - t^7.117/y + t^7.179/y + t^7.276/y - t^7.469/y + t^7.531/y + (2*t^7.628)/y + t^7.786/y + t^7.883/y + t^8.041/y + (2*t^8.138)/y + (3*t^8.235)/y + t^8.331/y - t^8.455/y + t^8.49/y + t^8.586/y + t^8.648/y + (2*t^8.745)/y + t^8.807/y + t^8.842/y + t^8.903/y - t^4.372*y - t^6.414*y - t^6.51*y - t^7.117*y + t^7.179*y + t^7.276*y - t^7.469*y + t^7.531*y + 2*t^7.628*y + t^7.786*y + t^7.883*y + t^8.041*y + 2*t^8.138*y + 3*t^8.235*y + t^8.331*y - t^8.455*y + t^8.49*y + t^8.586*y + t^8.648*y + 2*t^8.745*y + t^8.807*y + t^8.842*y + t^8.903*y | g1^32*t^2.041 + g1^10*t^2.138 + t^2.49/g1^8 + t^2.745/g1^4 + t^3. + t^3.097/g1^22 + g1^8*t^3.51 + t^3.607/g1^14 + g1^12*t^3.765 + g1^16*t^4.021 + g1^64*t^4.082 + g1^42*t^4.179 + 2*g1^20*t^4.276 + t^4.372/g1^2 + g1^24*t^4.531 + g1^2*t^4.628 + 2*g1^28*t^4.786 + g1^6*t^4.883 + t^4.979/g1^16 + g1^32*t^5.041 + 2*g1^10*t^5.138 + (2*t^5.235)/g1^12 + t^5.49/g1^8 + g1^40*t^5.552 + 2*g1^18*t^5.648 + (2*t^5.745)/g1^4 + g1^44*t^5.807 + t^5.842/g1^26 - t^6. + g1^48*t^6.062 + t^6.097/g1^22 + g1^96*t^6.124 + g1^26*t^6.158 + t^6.193/g1^44 + g1^74*t^6.22 + g1^4*t^6.255 + 2*g1^52*t^6.317 + 2*g1^30*t^6.414 + 2*g1^8*t^6.51 + g1^56*t^6.572 + t^6.607/g1^14 + g1^34*t^6.669 + t^6.704/g1^36 + 2*g1^12*t^6.765 + 2*g1^60*t^6.827 + 2*g1^38*t^6.924 - t^6.959/g1^32 + 3*g1^16*t^7.021 + g1^64*t^7.082 + (2*t^7.117)/g1^6 + 2*g1^42*t^7.179 + 4*g1^20*t^7.276 + (2*t^7.372)/g1^2 + 3*g1^24*t^7.531 + g1^72*t^7.593 + g1^2*t^7.628 + 2*g1^50*t^7.689 + 4*g1^28*t^7.786 + g1^76*t^7.848 + 3*g1^6*t^7.883 + (2*t^7.979)/g1^16 + g1^80*t^8.103 - g1^10*t^8.138 + g1^128*t^8.165 + g1^58*t^8.2 + t^8.235/g1^12 + g1^106*t^8.262 + 3*g1^36*t^8.296 + t^8.331/g1^34 + 2*g1^84*t^8.358 + g1^14*t^8.393 + 2*g1^62*t^8.455 - t^8.49/g1^8 + 4*g1^40*t^8.552 + t^8.586/g1^30 + g1^88*t^8.613 + g1^18*t^8.648 + g1^66*t^8.71 + t^8.745/g1^4 + 3*g1^44*t^8.807 + t^8.842/g1^26 + 2*g1^92*t^8.868 + t^8.938/g1^48 + 2*g1^70*t^8.965 - t^4.372/(g1^2*y) - (g1^30*t^6.414)/y - (g1^8*t^6.51)/y - t^7.117/(g1^6*y) + (g1^42*t^7.179)/y + (g1^20*t^7.276)/y - t^7.469/(g1^24*y) + (g1^24*t^7.531)/y + (2*g1^2*t^7.628)/y + (g1^28*t^7.786)/y + (g1^6*t^7.883)/y + (g1^32*t^8.041)/y + (2*g1^10*t^8.138)/y + (3*t^8.235)/(g1^12*y) + t^8.331/(g1^34*y) - (g1^62*t^8.455)/y + t^8.49/(g1^8*y) + t^8.586/(g1^30*y) + (g1^18*t^8.648)/y + (2*t^8.745)/(g1^4*y) + (g1^44*t^8.807)/y + t^8.842/(g1^26*y) + (g1^22*t^8.903)/y - (t^4.372*y)/g1^2 - g1^30*t^6.414*y - g1^8*t^6.51*y - (t^7.117*y)/g1^6 + g1^42*t^7.179*y + g1^20*t^7.276*y - (t^7.469*y)/g1^24 + g1^24*t^7.531*y + 2*g1^2*t^7.628*y + g1^28*t^7.786*y + g1^6*t^7.883*y + g1^32*t^8.041*y + 2*g1^10*t^8.138*y + (3*t^8.235*y)/g1^12 + (t^8.331*y)/g1^34 - g1^62*t^8.455*y + (t^8.49*y)/g1^8 + (t^8.586*y)/g1^30 + g1^18*t^8.648*y + (2*t^8.745*y)/g1^4 + g1^44*t^8.807*y + (t^8.842*y)/g1^26 + g1^22*t^8.903*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 |
|---|---|---|---|---|---|---|---|---|
| 6345 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ | 0.6742 | 0.846 | 0.7968 | [M:[0.95, 0.85, 1.0, 0.8, 1.2, 0.75, 1.15, 0.8], q:[0.625, 0.425], qb:[0.375, 0.775], phi:[0.45]] | t^2.25 + 2*t^2.4 + t^2.7 + t^2.85 + t^3. + t^3.45 + t^3.6 + t^3.9 + t^4.2 + t^4.35 + 2*t^4.5 + 2*t^4.65 + 3*t^4.8 + t^4.95 + 4*t^5.1 + 2*t^5.25 + 2*t^5.4 + t^5.55 + 3*t^5.7 + 3*t^5.85 - t^4.35/y - t^4.35*y | detail | {a: 172587/256000, c: 216587/256000, M1: 19/20, M2: 17/20, M3: 1, M4: 4/5, M5: 6/5, M6: 3/4, M7: 23/20, M8: 4/5, q1: 5/8, q2: 17/40, qb1: 3/8, qb2: 31/40, phi1: 9/20} |
| 6346 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{9}$ | 0.6637 | 0.8244 | 0.8051 | [M:[1.0284, 0.8001, 1.0, 0.8285, 1.1715, 0.7144, 1.1999, 0.6859, 1.2856], q:[0.5715, 0.4], qb:[0.4285, 0.7714], phi:[0.4571]] | t^2.058 + t^2.486 + t^2.743 + t^3. + t^3.085 + t^3.514 + t^3.6 + t^3.772 + t^3.857 + t^4.029 + t^4.116 + t^4.286 + t^4.371 + t^4.543 + 2*t^4.801 + t^4.971 + t^5.058 + t^5.143 + t^5.228 + t^5.486 + t^5.572 + t^5.658 + t^5.743 + t^5.828 + t^5.829 - t^6. - t^4.371/y - t^4.371*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2631 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6632 | 0.8221 | 0.8067 | [M:[1.0263, 0.8015, 1.0, 0.8277, 1.1723, 0.7153, 1.1985], q:[0.573, 0.4007], qb:[0.427, 0.7715], phi:[0.4569]] | t^2.146 + t^2.483 + t^2.742 + t^3. + t^3.079 + t^3.517 + t^3.596 + t^3.775 + t^3.933 + t^4.034 + 2*t^4.292 + t^4.371 + t^4.629 + t^4.809 + t^4.888 + t^4.966 + t^5.146 + 2*t^5.225 + t^5.483 + t^5.663 + 2*t^5.742 + t^5.82 - t^6. - t^4.371/y - t^4.371*y | detail |