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 |
|---|---|---|---|---|---|---|---|---|---|
| 79567 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{3}S_{1}^{2}$ | 2.4186 | 2.5716 | 0.9405 | [X:[], M:[0.8571, 0.8571, 0.8374], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5813, 0.5616], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, 0], [0, 0], [0, 2]], q:[[-1, 0], [1, 0]], qb:[], phi:[], S:[[0, -1], [0, 1]], Sb:[], A:[], Ab:[]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }S_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }M_{3}S_{2}^{2}$, ${ }M_{2}S_{2}^{2}$ | ${}$ | -5 | t^2.512 + 2*t^2.571 + t^3.369 + t^5.024 + 2*t^5.084 + 3*t^5.113 + 3*t^5.143 + 3*t^5.172 + t^5.881 + t^5.941 - 5*t^6. - t^6.059 + 2*t^6.739 + 2*t^6.798 + 6*t^6.857 + 2*t^6.916 + t^6.976 + t^7.536 + 2*t^7.596 + 3*t^7.625 + 3*t^7.655 + 2*t^7.685 + 4*t^7.714 - t^7.744 + t^8.394 + t^8.453 + 6*t^8.483 - 4*t^8.512 + 10*t^8.542 - 7*t^8.571 + 7*t^8.601 - 2*t^8.631 + 3*t^8.66 - t^4.685/y - t^4.744/y - t^7.197/y - (2*t^7.256)/y - t^7.315/y - (2*t^8.054)/y + (2*t^8.084)/y - (2*t^8.113)/y + t^8.143/y - t^8.172/y - t^8.232/y + t^8.881/y + (2*t^8.941)/y - t^4.685*y - t^4.744*y - t^7.197*y - 2*t^7.256*y - t^7.315*y - 2*t^8.054*y + 2*t^8.084*y - 2*t^8.113*y + t^8.143*y - t^8.172*y - t^8.232*y + t^8.881*y + 2*t^8.941*y | g2^2*t^2.512 + 2*t^2.571 + g2^2*t^3.369 + g2^4*t^5.024 + 2*g2^2*t^5.084 + g2*t^5.113 + (g2*t^5.113)/g1^2 + g1^2*g2*t^5.113 + 3*t^5.143 + t^5.172/g2 + t^5.172/(g1^2*g2) + (g1^2*t^5.172)/g2 + g2^4*t^5.881 + g2^2*t^5.941 - 3*t^6. - t^6./g1^2 - g1^2*t^6. - t^6.059/g2^2 + 2*g2^4*t^6.739 + 2*g2^2*t^6.798 + 4*t^6.857 + t^6.857/g1^2 + g1^2*t^6.857 + (2*t^6.916)/g2^2 + t^6.976/g2^4 + g2^6*t^7.536 + 2*g2^4*t^7.596 + g2^3*t^7.625 + (g2^3*t^7.625)/g1^2 + g1^2*g2^3*t^7.625 + 3*g2^2*t^7.655 + (g2*t^7.685)/g1^2 + g1^2*g2*t^7.685 + 4*t^7.714 - t^7.744/g2 + g2^6*t^8.394 + g2^4*t^8.453 + 2*g2^3*t^8.483 + (2*g2^3*t^8.483)/g1^2 + 2*g1^2*g2^3*t^8.483 - 2*g2^2*t^8.512 - (g2^2*t^8.512)/g1^2 - g1^2*g2^2*t^8.512 + 4*g2*t^8.542 + (3*g2*t^8.542)/g1^2 + 3*g1^2*g2*t^8.542 - 5*t^8.571 - t^8.571/g1^2 - g1^2*t^8.571 + (3*t^8.601)/g2 + (2*t^8.601)/(g1^2*g2) + (2*g1^2*t^8.601)/g2 - (2*t^8.631)/g2^2 + t^8.66/g2^3 + t^8.66/(g1^2*g2^3) + (g1^2*t^8.66)/g2^3 - (g2*t^4.685)/y - t^4.744/(g2*y) - (g2^3*t^7.197)/y - (2*g2*t^7.256)/y - t^7.315/(g2*y) - (2*g2^3*t^8.054)/y + (2*g2^2*t^8.084)/y - (2*g2*t^8.113)/y + t^8.143/y - t^8.172/(g2*y) - t^8.232/(g2^3*y) + (g2^4*t^8.881)/y + (2*g2^2*t^8.941)/y - g2*t^4.685*y - (t^4.744*y)/g2 - g2^3*t^7.197*y - 2*g2*t^7.256*y - (t^7.315*y)/g2 - 2*g2^3*t^8.054*y + 2*g2^2*t^8.084*y - 2*g2*t^8.113*y + t^8.143*y - (t^8.172*y)/g2 - (t^8.232*y)/g2^3 + g2^4*t^8.881*y + 2*g2^2*t^8.941*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 |
|---|---|---|---|---|---|---|---|---|
| 79668 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{3}S_{1}^{2}$ + ${ }M_{2}M_{3}$ | 2.2451 | 2.379 | 0.9437 | [X:[], M:[0.8571, 0.8571, 1.1429], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.4286, 0.7143], Sb:[], A:[], Ab:[]] | 2*t^2.571 + t^3.429 + t^4.286 + 3*t^4.714 + 3*t^5.143 + 3*t^5.571 - t^6. - t^4.286/y - t^5.143/y - t^4.286*y - t^5.143*y | detail | {a: 12321/5488, c: 816/343, M1: 6/7, M2: 6/7, M3: 8/7, q1: 4/7, q2: 4/7, S1: 3/7, S2: 5/7} |
| 79674 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{3}S_{1}^{2}$ + ${ }M_{3}^{2}$ | 2.3683 | 2.5112 | 0.9431 | [X:[], M:[0.8571, 0.8571, 1.0], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5, 0.6429], Sb:[], A:[], Ab:[]] | 2*t^2.571 + t^3. + t^3.857 + 3*t^4.929 + 3*t^5.143 + 3*t^5.357 + t^5.571 - 3*t^6. - t^4.5/y - t^4.929/y - t^4.5*y - t^4.929*y | detail | {a: 25995/10976, c: 27563/10976, M1: 6/7, M2: 6/7, M3: 1, q1: 4/7, q2: 4/7, S1: 1/2, S2: 9/14} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 79529 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ | 2.4052 | 2.5481 | 0.9439 | [X:[], M:[0.8571, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5714, 0.5714], Sb:[], A:[], Ab:[]] | 2*t^2.571 + 2*t^3.429 + 9*t^5.143 - 3*t^6. - (2*t^4.714)/y - 2*t^4.714*y | detail | {a: 825/343, c: 874/343, M1: 6/7, M2: 6/7, q1: 4/7, q2: 4/7, S1: 4/7, S2: 4/7} |