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 |
|---|---|---|---|---|---|---|---|---|---|
| 79439 | SO5a2nf1 | ${}$ | 2.3273 | 2.3692 | 0.9823 | [X:[], M:[], q:[0.5975], qb:[], phi:[], S:[], Sb:[], A:[0.5671, 0.5671], Ab:[]] | [X:[], M:[], q:[[0, 3]], qb:[], phi:[], S:[], Sb:[], A:[[-1, -1], [1, 0]], Ab:[]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}A_{2}^{2}$, ${ }A_{1}^{2}$, ${ }A_{1}A_{2}$, ${ }q_{1}^{2}$, ${ }A_{1}^{2}q_{1}$, ${ }A_{1}A_{2}q_{1}$, ${ }A_{2}^{2}q_{1}$ | ${}$ | -4 | 3*t^3.402 + t^3.585 + 3*t^5.195 - 4*t^6. + 12*t^6.805 + 2*t^6.896 + 6*t^6.988 + t^7.17 - 3*t^7.61 - 2*t^7.701 - 3*t^7.793 + 14*t^8.598 + 2*t^8.689 + 3*t^8.78 - (2*t^4.701)/y - (2*t^6.494)/y + (2*t^7.299)/y - (10*t^8.104)/y - t^8.195/y - (2*t^8.286)/y + (2*t^8.909)/y - 2*t^4.701*y - 2*t^6.494*y + 2*t^7.299*y - 10*t^8.104*y - t^8.195*y - 2*t^8.286*y + 2*t^8.909*y | g1^2*t^3.402 + t^3.402/(g1^2*g2^2) + t^3.402/g2 + g2^6*t^3.585 + (g2*t^5.195)/g1^2 + g2^2*t^5.195 + g1^2*g2^3*t^5.195 - 2*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. + 2*g1^4*t^6.805 + (2*t^6.805)/(g1^4*g2^4) + (2*t^6.805)/(g1^2*g2^3) + (4*t^6.805)/g2^2 + (2*g1^2*t^6.805)/g2 + (g2*t^6.896)/g1 + g1*g2^2*t^6.896 + (2*g2^4*t^6.988)/g1^2 + 2*g2^5*t^6.988 + 2*g1^2*g2^6*t^6.988 + g2^12*t^7.17 - t^7.61/(g1^2*g2^5) - t^7.61/g2^4 - (g1^2*t^7.61)/g2^3 - g1*t^7.701 - t^7.701/(g1*g2) - (g2^2*t^7.793)/g1^2 - g2^3*t^7.793 - g1^2*g2^4*t^7.793 + (3*t^8.598)/g1^2 + t^8.598/(g1^4*g2) + 6*g2*t^8.598 + 3*g1^2*g2^2*t^8.598 + g1^4*g2^3*t^8.598 + (g2^4*t^8.689)/g1 + g1*g2^5*t^8.689 + (g2^7*t^8.78)/g1^2 + g2^8*t^8.78 + g1^2*g2^9*t^8.78 - (g1*t^4.701)/y - t^4.701/(g1*g2*y) - (g2^2*t^6.494)/(g1*y) - (g1*g2^3*t^6.494)/y + t^7.299/(g1*y) + (g1*g2*t^7.299)/y - (2*g1^3*t^8.104)/y - (2*t^8.104)/(g1^3*g2^3*y) - (3*t^8.104)/(g1*g2^2*y) - (3*g1*t^8.104)/(g2*y) - (g2^2*t^8.195)/y - (g2^5*t^8.286)/(g1*y) - (g1*g2^6*t^8.286)/y + t^8.909/(g1*g2^4*y) + (g1*t^8.909)/(g2^3*y) - g1*t^4.701*y - (t^4.701*y)/(g1*g2) - (g2^2*t^6.494*y)/g1 - g1*g2^3*t^6.494*y + (t^7.299*y)/g1 + g1*g2*t^7.299*y - 2*g1^3*t^8.104*y - (2*t^8.104*y)/(g1^3*g2^3) - (3*t^8.104*y)/(g1*g2^2) - (3*g1*t^8.104*y)/g2 - g2^2*t^8.195*y - (g2^5*t^8.286*y)/g1 - g1*g2^6*t^8.286*y + (t^8.909*y)/(g1*g2^4) + (g1*t^8.909*y)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 79443 | ${}A_{1}A_{2}M_{1}$ | 2.3393 | 2.3904 | 0.9786 | [X:[], M:[0.8636], q:[0.5907], qb:[], phi:[], S:[], Sb:[], A:[0.5682, 0.5682], Ab:[]] | t^2.591 + 2*t^3.409 + t^3.544 + 4*t^5.181 - 2*t^6. - (2*t^4.705)/y - 2*t^4.705*y | detail | |
| 79442 | ${}A_{1}^{2}M_{1}$ | 2.3401 | 2.3924 | 0.9781 | [X:[], M:[0.8436], q:[0.5911], qb:[], phi:[], S:[], Sb:[], A:[0.5782, 0.5581], Ab:[]] | t^2.531 + t^3.349 + t^3.409 + t^3.547 + t^5.062 + t^5.122 + t^5.182 + t^5.242 + t^5.88 - 2*t^6. - t^4.674/y - t^4.735/y - t^4.674*y - t^4.735*y | detail | |
| 79441 | ${}A_{1}^{2}q_{1}$ | 2.235 | 2.2629 | 0.9876 | [X:[], M:[], q:[0.7317], qb:[], phi:[], S:[], Sb:[], A:[0.6341, 0.4553], Ab:[]] | t^2.732 + t^3.268 + t^3.805 + t^4.39 + t^4.927 + 2*t^5.463 + t^6. - t^4.366/y - t^4.902/y - t^4.366*y - t^4.902*y | detail | {a: 180335/80688, c: 91295/40344, q1: 30/41, A1: 26/41, A2: 56/123} |
| 79445 | ${}A_{2}^{2}$ + ${ }A_{1}^{2}X_{1}$ | 1.1741 | 1.206 | 0.9736 | [X:[1.5686], M:[], q:[0.3528], qb:[], phi:[], S:[], Sb:[], A:[0.2157, 1.0], Ab:[]] | t^2.117 + t^2.353 + t^2.589 + t^3.411 + t^4.234 + t^4.47 + 3*t^4.706 + t^4.941 + t^5.177 + t^5.528 + t^5.764 - t^3.647/y - t^4.706/y - t^4.941/y - t^5.764/y - t^6./y - t^3.647*y - t^4.706*y - t^4.941*y - t^5.764*y - t^6.*y | detail | |
| 79444 | ${}M_{1}q_{1}^{2}$ | 2.345 | 2.3996 | 0.9772 | [X:[], M:[0.7573], q:[0.6213], qb:[], phi:[], S:[], Sb:[], A:[0.5631, 0.5631], Ab:[]] | t^2.272 + 3*t^3.379 + t^4.544 + 3*t^5.243 + 3*t^5.651 - 4*t^6. - (2*t^4.689)/y - 2*t^4.689*y | detail | |
| 79440 | ${}q_{1}^{2}$ | 2.1094 | 2.1094 | 1 | [X:[], M:[], q:[1.0], qb:[], phi:[], S:[], Sb:[], A:[0.5, 0.5], Ab:[]] | 3*t^3. + 9*t^6. - (2*t^4.5)/y - 2*t^4.5*y | detail | {a: 135/64, c: 135/64, q1: 1, A1: 1/2, A2: 1/2} |
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 |
|---|