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 |
|---|---|---|---|---|---|---|---|---|---|
| 79512 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{2}^{2}$ | 2.4283 | 2.5688 | 0.9453 | [X:[], M:[0.8751, 0.7495, 0.8751], q:[0.6252, 0.6252], qb:[], phi:[], S:[0.5625, 0.5625], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -2, 0], [0, 6, 6], [0, 0, -2]], q:[[-1, -6, -6], [1, 0, 0]], qb:[], phi:[], S:[[0, 1, 0], [0, 0, 1]], Sb:[], A:[], Ab:[]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }S_{1}S_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{2}S_{1}S_{2}$ | ${}$ | -5 | t^2.249 + 2*t^2.625 + t^3.375 + t^4.497 + 2*t^4.874 + 3*t^5.25 + 6*t^5.439 + t^5.623 - 5*t^6. + t^6.746 + 7*t^6.75 + 2*t^7.122 + 6*t^7.126 + 3*t^7.499 - 2*t^7.687 + t^7.872 + 4*t^7.876 + 6*t^8.064 - 2*t^8.249 - 10*t^8.625 + 26*t^8.814 + t^8.994 + 7*t^8.998 - (2*t^4.687)/y - (2*t^6.936)/y - (2*t^7.313)/y + (2*t^7.874)/y - (6*t^8.062)/y + t^8.25/y + t^8.623/y - 2*t^4.687*y - 2*t^6.936*y - 2*t^7.313*y + 2*t^7.874*y - 6*t^8.062*y + t^8.25*y + t^8.623*y | g2^6*g3^6*t^2.249 + t^2.625/g2^2 + t^2.625/g3^2 + g2*g3*t^3.375 + g2^12*g3^12*t^4.497 + g2^6*g3^4*t^4.874 + g2^4*g3^6*t^4.874 + t^5.25/g2^4 + t^5.25/g3^4 + t^5.25/(g2^2*g3^2) + g1^2*g2*t^5.439 + t^5.439/(g1^2*g2^11*g3^12) + t^5.439/(g1^2*g2^12*g3^11) + t^5.439/(g2^5*g3^6) + t^5.439/(g2^6*g3^5) + g1^2*g3*t^5.439 + g2^7*g3^7*t^5.623 - 3*t^6. - t^6./(g1^2*g2^6*g3^6) - g1^2*g2^6*g3^6*t^6. + g2^18*g3^18*t^6.746 + g2^4*t^6.75 + g2^3*g3*t^6.75 + 3*g2^2*g3^2*t^6.75 + g2*g3^3*t^6.75 + g3^4*t^6.75 + g2^12*g3^10*t^7.122 + g2^10*g3^12*t^7.122 + t^7.126/(g1^2*g2^11*g3^11) + t^7.126/(g2^4*g3^6) + (2*t^7.126)/(g2^5*g3^5) + t^7.126/(g2^6*g3^4) + g1^2*g2*g3*t^7.126 + g2^6*g3^2*t^7.499 + g2^4*g3^4*t^7.499 + g2^2*g3^6*t^7.499 - g2*t^7.687 - g3*t^7.687 + g2^13*g3^13*t^7.872 + t^7.876/g2^6 + t^7.876/g3^6 + t^7.876/(g2^2*g3^4) + t^7.876/(g2^4*g3^2) + t^8.064/(g1^2*g2^11*g3^14) + t^8.064/(g1^2*g2^14*g3^11) + t^8.064/(g2^5*g3^8) + t^8.064/(g2^8*g3^5) + (g1^2*g2*t^8.064)/g3^2 + (g1^2*g3*t^8.064)/g2^2 - 2*g2^6*g3^6*t^8.249 - (3*t^8.625)/g2^2 - t^8.625/(g1^2*g2^6*g3^8) - t^8.625/(g1^2*g2^8*g3^6) - (3*t^8.625)/g3^2 - g1^2*g2^6*g3^4*t^8.625 - g1^2*g2^4*g3^6*t^8.625 + g1^2*g2^3*t^8.814 + t^8.814/(g1^2*g2^9*g3^12) + (3*t^8.814)/(g1^2*g2^10*g3^11) + (3*t^8.814)/(g1^2*g2^11*g3^10) + t^8.814/(g1^2*g2^12*g3^9) + t^8.814/(g2^3*g3^6) + (4*t^8.814)/(g2^4*g3^5) + (4*t^8.814)/(g2^5*g3^4) + t^8.814/(g2^6*g3^3) + 3*g1^2*g2^2*g3*t^8.814 + 3*g1^2*g2*g3^2*t^8.814 + g1^2*g3^3*t^8.814 + g2^24*g3^24*t^8.994 + g2^10*g3^6*t^8.998 + g2^9*g3^7*t^8.998 + 3*g2^8*g3^8*t^8.998 + g2^7*g3^9*t^8.998 + g2^6*g3^10*t^8.998 - (g2*t^4.687)/y - (g3*t^4.687)/y - (g2^7*g3^6*t^6.936)/y - (g2^6*g3^7*t^6.936)/y - (g2*t^7.313)/(g3^2*y) - (g3*t^7.313)/(g2^2*y) + (g2^6*g3^4*t^7.874)/y + (g2^4*g3^6*t^7.874)/y - (g2^3*t^8.062)/y - (2*g2^2*g3*t^8.062)/y - (2*g2*g3^2*t^8.062)/y - (g3^3*t^8.062)/y + t^8.25/(g2^2*g3^2*y) + (g2^7*g3^7*t^8.623)/y - g2*t^4.687*y - g3*t^4.687*y - g2^7*g3^6*t^6.936*y - g2^6*g3^7*t^6.936*y - (g2*t^7.313*y)/g3^2 - (g3*t^7.313*y)/g2^2 + g2^6*g3^4*t^7.874*y + g2^4*g3^6*t^7.874*y - g2^3*t^8.062*y - 2*g2^2*g3*t^8.062*y - 2*g2*g3^2*t^8.062*y - g3^3*t^8.062*y + (t^8.25*y)/(g2^2*g3^2) + g2^7*g3^7*t^8.623*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 |
|---|---|---|---|---|---|---|---|---|
| 79599 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}S_{2}^{2}$ + ${ }M_{2}M_{3}$ | 2.3166 | 2.4859 | 0.9319 | [X:[], M:[0.6834, 1.0251, 0.9749], q:[0.4874, 0.4874], qb:[], phi:[], S:[0.6583, 0.5126], Sb:[], A:[], Ab:[]] | t^2.05 + t^2.925 + t^3.075 + t^3.513 + t^4.1 + 3*t^4.462 + 3*t^4.9 + t^4.975 + t^5.126 + t^5.849 - 3*t^6. - t^4.538/y - t^4.975/y - t^4.538*y - t^4.975*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 |
|---|---|---|---|---|---|---|---|---|---|
| 79483 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ | 2.418 | 2.5513 | 0.9477 | [X:[], M:[0.8558, 0.7417], q:[0.6292, 0.6292], qb:[], phi:[], S:[0.5721, 0.5515], Sb:[], A:[], Ab:[]] | t^2.225 + t^2.567 + t^3.309 + t^3.371 + t^4.45 + t^4.792 + t^5.135 + 3*t^5.429 + 3*t^5.491 + t^5.534 + t^5.596 + t^5.876 - 5*t^6. - t^4.655/y - t^4.716/y - t^4.655*y - t^4.716*y | detail |