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 |
---|---|---|---|---|---|---|---|---|---|
3243 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$ | 0.5885 | 0.7494 | 0.7852 | [M:[0.95, 1.1501, 0.95, 0.8499, 1.1501], q:[0.7375, 0.3125], qb:[0.4126, 0.4373], phi:[0.525]] | [M:[[4], [-12], [4], [12], [-12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.175 + t^2.25 + 2*t^2.85 + 3*t^3.45 + t^3.524 + t^3.75 + t^3.825 + t^4.051 + t^4.125 + t^4.199 + t^4.351 + t^4.425 + t^4.499 + 2*t^5.025 + 2*t^5.099 + 2*t^5.626 + 5*t^5.7 + t^5.774 - 2*t^6. + t^6.226 + 4*t^6.3 + 2*t^6.374 + t^6.449 + t^6.526 + t^6.6 + t^6.675 + t^6.749 + 5*t^6.901 + 2*t^6.975 + 2*t^7.049 + 3*t^7.201 + 2*t^7.275 + 2*t^7.349 + 2*t^7.501 + 2*t^7.649 + t^7.723 + 3*t^7.801 + 3*t^7.875 + 4*t^7.949 + 2*t^8.024 + t^8.101 - 2*t^8.175 - 2*t^8.25 + t^8.324 + t^8.398 + t^8.401 + 2*t^8.476 + 5*t^8.55 + 2*t^8.624 + t^8.698 + t^8.702 - t^8.776 - 6*t^8.85 - t^8.924 + t^8.998 - t^4.575/y + t^7.125/y + t^7.725/y + t^8.025/y + (2*t^8.099)/y + (3*t^8.626)/y + (5*t^8.7)/y + t^8.774/y + t^8.926/y - t^4.575*y + t^7.125*y + t^7.725*y + t^8.025*y + 2*t^8.099*y + 3*t^8.626*y + 5*t^8.7*y + t^8.774*y + t^8.926*y | t^2.175/g1^18 + g1^20*t^2.25 + 2*g1^4*t^2.85 + (3*t^3.45)/g1^12 + g1^26*t^3.524 + t^3.75/g1^20 + g1^18*t^3.825 + t^4.051/g1^28 + g1^10*t^4.125 + g1^48*t^4.199 + t^4.351/g1^36 + g1^2*t^4.425 + g1^40*t^4.499 + (2*t^5.025)/g1^14 + 2*g1^24*t^5.099 + (2*t^5.626)/g1^30 + 5*g1^8*t^5.7 + g1^46*t^5.774 - 2*t^6. + t^6.226/g1^46 + (4*t^6.3)/g1^8 + 2*g1^30*t^6.374 + g1^68*t^6.449 + t^6.526/g1^54 + t^6.6/g1^16 + g1^22*t^6.675 + g1^60*t^6.749 + (5*t^6.901)/g1^24 + 2*g1^14*t^6.975 + 2*g1^52*t^7.049 + (3*t^7.201)/g1^32 + 2*g1^6*t^7.275 + 2*g1^44*t^7.349 + (2*t^7.501)/g1^40 + 2*g1^36*t^7.649 + g1^74*t^7.723 + (3*t^7.801)/g1^48 + (3*t^7.875)/g1^10 + 4*g1^28*t^7.949 + 2*g1^66*t^8.024 + t^8.101/g1^56 - (2*t^8.175)/g1^18 - 2*g1^20*t^8.25 + g1^58*t^8.324 + g1^96*t^8.398 + t^8.401/g1^64 + (2*t^8.476)/g1^26 + 5*g1^12*t^8.55 + 2*g1^50*t^8.624 + g1^88*t^8.698 + t^8.702/g1^72 - t^8.776/g1^34 - 6*g1^4*t^8.85 - g1^42*t^8.924 + g1^80*t^8.998 - t^4.575/(g1^2*y) + (g1^10*t^7.125)/y + t^7.725/(g1^6*y) + t^8.025/(g1^14*y) + (2*g1^24*t^8.099)/y + (3*t^8.626)/(g1^30*y) + (5*g1^8*t^8.7)/y + (g1^46*t^8.774)/y + t^8.926/(g1^38*y) - (t^4.575*y)/g1^2 + g1^10*t^7.125*y + (t^7.725*y)/g1^6 + (t^8.025*y)/g1^14 + 2*g1^24*t^8.099*y + (3*t^8.626*y)/g1^30 + 5*g1^8*t^8.7*y + g1^46*t^8.774*y + (t^8.926*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
3664 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6043 | 0.7774 | 0.7773 | [M:[0.954, 1.138, 0.954, 0.862, 1.138, 0.7989], q:[0.7385, 0.3075], qb:[0.3995, 0.4626], phi:[0.523]] | t^2.121 + t^2.31 + t^2.397 + 2*t^2.862 + 3*t^3.414 + t^3.69 + t^3.879 + t^3.966 + t^4.155 + t^4.242 + t^4.344 + t^4.431 + t^4.518 + t^4.62 + t^4.707 + t^4.794 + 2*t^4.983 + 2*t^5.172 + 2*t^5.259 + 2*t^5.535 + 4*t^5.724 + 3*t^5.811 - 2*t^6. - t^4.569/y - t^4.569*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 |
---|---|---|---|---|---|---|---|---|---|
2731 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ | 0.6018 | 0.7728 | 0.7788 | [M:[0.9477, 1.1568, 0.9477, 0.8432], q:[0.7369, 0.3153], qb:[0.4199, 0.4234], phi:[0.5261]] | t^2.206 + t^2.216 + t^2.53 + 2*t^2.843 + 2*t^3.47 + t^3.481 + t^3.784 + t^3.794 + t^4.098 + t^4.108 + t^4.119 + t^4.411 + t^4.422 + t^4.432 + t^4.735 + t^4.746 + 2*t^5.049 + 3*t^5.059 + 2*t^5.373 + t^5.676 + 4*t^5.686 + t^5.697 - t^4.578/y - t^4.578*y | detail |