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 |
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1847 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6657 | 0.832 | 0.8002 | [M:[1.1198, 0.7298, 0.8802, 0.8802, 0.6797], q:[0.805, 0.5153], qb:[0.3649, 0.7549], phi:[0.39]] | [M:[[16], [14], [-16], [-16], [24]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{5}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.039 + t^2.189 + t^2.34 + 2*t^2.641 + t^3.359 + t^3.51 + t^3.811 + t^4.078 + t^4.228 + t^4.262 + 2*t^4.379 + 2*t^4.529 + 4*t^4.68 + t^4.83 + 3*t^4.98 + 2*t^5.281 + t^5.398 + t^5.549 + 3*t^5.699 + t^5.85 - t^6. + t^6.117 + 2*t^6.15 + t^6.268 + 2*t^6.418 + t^6.451 + 3*t^6.568 + t^6.602 + 5*t^6.719 + 4*t^6.869 + 2*t^6.902 + 5*t^7.02 + t^7.17 + 5*t^7.32 + t^7.437 + t^7.588 + 3*t^7.621 + 3*t^7.738 + 3*t^7.889 + t^7.922 + 2*t^8.039 + t^8.072 + t^8.156 - t^8.189 + t^8.307 - t^8.34 + 2*t^8.457 + t^8.49 + t^8.524 + 3*t^8.607 - 5*t^8.641 + 6*t^8.758 + 2*t^8.791 + 5*t^8.908 + t^8.941 - t^4.17/y - t^6.209/y - t^6.359/y - t^6.51/y - t^6.811/y + t^7.228/y + t^7.379/y + (2*t^7.529)/y + (2*t^7.68)/y + (3*t^7.83)/y + (3*t^7.98)/y + t^8.131/y - t^8.248/y + t^8.281/y + t^8.699/y - t^4.17*y - t^6.209*y - t^6.359*y - t^6.51*y - t^6.811*y + t^7.228*y + t^7.379*y + 2*t^7.529*y + 2*t^7.68*y + 3*t^7.83*y + 3*t^7.98*y + t^8.131*y - t^8.248*y + t^8.281*y + t^8.699*y | g1^24*t^2.039 + g1^14*t^2.189 + g1^4*t^2.34 + (2*t^2.641)/g1^16 + g1^16*t^3.359 + g1^6*t^3.51 + t^3.811/g1^14 + g1^48*t^4.078 + g1^38*t^4.228 + t^4.262/g1^44 + 2*g1^28*t^4.379 + 2*g1^18*t^4.529 + 4*g1^8*t^4.68 + t^4.83/g1^2 + (3*t^4.98)/g1^12 + (2*t^5.281)/g1^32 + g1^40*t^5.398 + g1^30*t^5.549 + 3*g1^20*t^5.699 + g1^10*t^5.85 - t^6. + g1^72*t^6.117 + (2*t^6.15)/g1^10 + g1^62*t^6.268 + 2*g1^52*t^6.418 + t^6.451/g1^30 + 3*g1^42*t^6.568 + t^6.602/g1^40 + 5*g1^32*t^6.719 + 4*g1^22*t^6.869 + (2*t^6.902)/g1^60 + 5*g1^12*t^7.02 + g1^2*t^7.17 + (5*t^7.32)/g1^8 + g1^64*t^7.437 + g1^54*t^7.588 + (3*t^7.621)/g1^28 + 3*g1^44*t^7.738 + 3*g1^34*t^7.889 + t^7.922/g1^48 + 2*g1^24*t^8.039 + t^8.072/g1^58 + g1^96*t^8.156 - g1^14*t^8.189 + g1^86*t^8.307 - g1^4*t^8.34 + 2*g1^76*t^8.457 + t^8.49/g1^6 + t^8.524/g1^88 + 3*g1^66*t^8.607 - (5*t^8.641)/g1^16 + 6*g1^56*t^8.758 + (2*t^8.791)/g1^26 + 5*g1^46*t^8.908 + t^8.941/g1^36 - (g1^2*t^4.17)/y - (g1^26*t^6.209)/y - (g1^16*t^6.359)/y - (g1^6*t^6.51)/y - t^6.811/(g1^14*y) + (g1^38*t^7.228)/y + (g1^28*t^7.379)/y + (2*g1^18*t^7.529)/y + (2*g1^8*t^7.68)/y + (3*t^7.83)/(g1^2*y) + (3*t^7.98)/(g1^12*y) + t^8.131/(g1^22*y) - (g1^50*t^8.248)/y + t^8.281/(g1^32*y) + (g1^20*t^8.699)/y - g1^2*t^4.17*y - g1^26*t^6.209*y - g1^16*t^6.359*y - g1^6*t^6.51*y - (t^6.811*y)/g1^14 + g1^38*t^7.228*y + g1^28*t^7.379*y + 2*g1^18*t^7.529*y + 2*g1^8*t^7.68*y + (3*t^7.83*y)/g1^2 + (3*t^7.98*y)/g1^12 + (t^8.131*y)/g1^22 - g1^50*t^8.248*y + (t^8.281*y)/g1^32 + g1^20*t^8.699*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 |
---|---|---|---|---|---|---|---|---|
2870 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{6}$ | 0.677 | 0.851 | 0.7956 | [M:[1.1331, 0.7415, 0.8669, 0.8669, 0.6997, 0.8669], q:[0.8042, 0.4961], qb:[0.3708, 0.7624], phi:[0.3916]] | t^2.099 + t^2.225 + t^2.35 + 3*t^2.601 + t^3.525 + t^3.775 + t^4.152 + t^4.198 + t^4.324 + 2*t^4.449 + 2*t^4.574 + 5*t^4.7 + 2*t^4.825 + 4*t^4.95 + 5*t^5.201 + 2*t^5.749 + t^5.875 - 3*t^6. - t^4.175/y - t^4.175*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
435 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.645 | 0.7913 | 0.8151 | [M:[1.1221, 0.7318, 0.8779, 0.8779], q:[0.8049, 0.512], qb:[0.3659, 0.7562], phi:[0.3903]] | t^2.195 + t^2.342 + 2*t^2.634 + t^3.366 + t^3.512 + t^3.805 + t^3.951 + t^4.243 + t^4.391 + 2*t^4.537 + 2*t^4.683 + t^4.829 + 3*t^4.975 + 2*t^5.267 + 3*t^5.708 - t^6. - t^4.171/y - t^4.171*y | detail |