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 |
---|---|---|---|---|---|---|---|---|---|
79441 | SO5a2nf1 | ${}A_{1}^{2}q_{1}$ | 2.235 | 2.2629 | 0.9876 | [X:[], M:[], q:[0.7317], qb:[], phi:[], S:[], Sb:[], A:[0.6341, 0.4553], Ab:[]] | [X:[], M:[], q:[[6]], qb:[], phi:[], S:[], Sb:[], A:[[-3], [1]], Ab:[]] | 1 | {a: 180335/80688, c: 91295/40344, q1: 30/41, A1: 26/41, A2: 56/123} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}A_{2}^{2}$, ${ }A_{1}A_{2}$, ${ }A_{1}^{2}$, ${ }q_{1}^{2}$, ${ }A_{2}^{2}q_{1}$, ${ }A_{2}^{4}$ | ${2}A_{1}A_{2}^{3}$ | 1 | t^2.732 + t^3.268 + t^3.805 + t^4.39 + t^4.927 + 2*t^5.463 + t^6. + 2*t^6.537 + t^6.829 + t^7.073 + 2*t^7.122 + t^7.61 + 2*t^7.659 - t^7.902 + 4*t^8.195 - t^8.439 + 3*t^8.732 + t^8.78 - t^4.366/y - t^4.902/y - t^6.561/y - (2*t^7.098)/y - (2*t^7.634)/y - (2*t^8.171)/y - t^8.463/y - t^8.707/y - t^8.756/y - t^4.366*y - t^4.902*y - t^6.561*y - 2*t^7.098*y - 2*t^7.634*y - 2*t^8.171*y - t^8.463*y - t^8.707*y - t^8.756*y | g1^2*t^2.732 + t^3.268/g1^2 + t^3.805/g1^6 + g1^12*t^4.39 + g1^8*t^4.927 + 2*g1^4*t^5.463 + t^6. + (2*t^6.537)/g1^4 + g1^5*t^6.829 + t^7.073/g1^8 + 2*g1^14*t^7.122 + t^7.61/g1^12 + 2*g1^10*t^7.659 - t^7.902/g1^3 + 4*g1^6*t^8.195 - t^8.439/g1^7 + 3*g1^2*t^8.732 + g1^24*t^8.78 - (g1*t^4.366)/y - t^4.902/(g1^3*y) - (g1^7*t^6.561)/y - (2*g1^3*t^7.098)/y - (2*t^7.634)/(g1*y) - (2*t^8.171)/(g1^5*y) - (g1^4*t^8.463)/y - t^8.707/(g1^9*y) - (g1^13*t^8.756)/y - g1*t^4.366*y - (t^4.902*y)/g1^3 - g1^7*t^6.561*y - 2*g1^3*t^7.098*y - (2*t^7.634*y)/g1 - (2*t^8.171*y)/g1^5 - g1^4*t^8.463*y - (t^8.707*y)/g1^9 - g1^13*t^8.756*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 |
---|---|---|---|---|---|---|---|---|
79447 | ${}A_{1}^{2}q_{1}$ + ${ }A_{1}A_{2}M_{1}$ | 2.2433 | 2.2777 | 0.9849 | [X:[], M:[0.9082], q:[0.7246], qb:[], phi:[], S:[], Sb:[], A:[0.6377, 0.4541], Ab:[]] | 2*t^2.725 + t^3.826 + t^4.348 + t^4.899 + 4*t^5.449 - t^4.362/y - t^4.913/y - t^4.362*y - t^4.913*y | detail | {a: 85441/38088, c: 10844/4761, M1: 188/207, q1: 50/69, A1: 44/69, A2: 94/207} |
79449 | ${}A_{1}^{2}q_{1}$ + ${ }A_{1}^{2}M_{1}$ | 2.2548 | 2.3007 | 0.98 | [X:[], M:[0.7244], q:[0.7244], qb:[], phi:[], S:[], Sb:[], A:[0.6378, 0.4541], Ab:[]] | t^2.173 + t^2.724 + t^3.276 + 2*t^4.347 + 2*t^4.898 + 3*t^5.449 + t^6. - t^4.362/y - t^4.913/y - t^4.362*y - t^4.913*y | detail | |
79448 | ${}A_{1}^{2}q_{1}$ + ${ }A_{2}^{2}M_{1}$ | 2.2269 | 2.2486 | 0.9903 | [X:[], M:[1.087], q:[0.7389], qb:[], phi:[], S:[], Sb:[], A:[0.6305, 0.4565], Ab:[]] | 2*t^3.261 + t^3.783 + t^4.433 + t^4.956 + t^5.478 - t^4.369/y - t^4.892/y - t^4.369*y - t^4.892*y | detail | {a: 550607/247254, c: 1111973/494508, M1: 662/609, q1: 150/203, A1: 128/203, A2: 278/609} |
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 |
---|---|---|---|---|---|---|---|---|---|
79439 | SO5a2nf1 | ${}$ | 2.3273 | 2.3692 | 0.9823 | [X:[], M:[], q:[0.5975], qb:[], phi:[], S:[], Sb:[], A:[0.5671, 0.5671], Ab:[]] | 3*t^3.402 + t^3.585 + 3*t^5.195 - 4*t^6. - (2*t^4.701)/y - 2*t^4.701*y | detail |