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 |
---|---|---|---|---|---|---|---|---|---|
79489 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ | 2.3962 | 2.5275 | 0.9481 | [X:[], M:[0.8247], q:[0.5877, 0.5877], qb:[], phi:[], S:[0.5877, 0.5498], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, 6]], q:[[-1, -6], [1, 0]], qb:[], phi:[], S:[[0, -3], [0, 4]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }S_{2}^{2}$, ${ }S_{1}S_{2}$, ${ }S_{1}^{2}$, ${ }M_{1}^{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }M_{1}S_{2}^{2}$ | ${}$ | -4 | t^2.474 + t^3.299 + t^3.412 + t^3.526 + t^4.948 + 3*t^5.175 + 3*t^5.289 + t^5.773 - 4*t^6. - t^6.114 + 2*t^6.597 + 2*t^6.711 + 5*t^6.825 + 6*t^6.938 + 3*t^7.052 + t^7.422 - t^7.649 - 4*t^7.763 - 3*t^7.877 + t^8.247 + 5*t^8.474 + 13*t^8.588 + 13*t^8.701 + 6*t^8.815 - t^4.649/y - t^4.763/y - t^7.123/y + t^7.351/y - (2*t^7.948)/y - (3*t^8.062)/y - (3*t^8.175)/y - (2*t^8.289)/y + t^8.773/y + t^8.886/y - t^4.649*y - t^4.763*y - t^7.123*y + t^7.351*y - 2*t^7.948*y - 3*t^8.062*y - 3*t^8.175*y - 2*t^8.289*y + t^8.773*y + t^8.886*y | g2^6*t^2.474 + g2^8*t^3.299 + g2*t^3.412 + t^3.526/g2^6 + g2^12*t^4.948 + t^5.175/(g1^2*g2^8) + t^5.175/g2^2 + g1^2*g2^4*t^5.175 + t^5.289/(g1^2*g2^15) + t^5.289/g2^9 + (g1^2*t^5.289)/g2^3 + g2^14*t^5.773 - 2*t^6. - t^6./(g1^2*g2^6) - g1^2*g2^6*t^6. - t^6.114/g2^7 + 2*g2^16*t^6.597 + 2*g2^9*t^6.711 + 5*g2^2*t^6.825 + t^6.938/(g1^2*g2^11) + (4*t^6.938)/g2^5 + g1^2*g2*t^6.938 + (3*t^7.052)/g2^12 + g2^18*t^7.422 - g2^4*t^7.649 - t^7.763/(g1^2*g2^9) - (2*t^7.763)/g2^3 - g1^2*g2^3*t^7.763 - t^7.877/(g1^2*g2^16) - t^7.877/g2^10 - (g1^2*t^7.877)/g2^4 + g2^20*t^8.247 + (2*t^8.474)/g1^2 + g2^6*t^8.474 + 2*g1^2*g2^12*t^8.474 + (4*t^8.588)/(g1^2*g2^7) + (5*t^8.588)/g2 + 4*g1^2*g2^5*t^8.588 + (4*t^8.701)/(g1^2*g2^14) + (5*t^8.701)/g2^8 + (4*g1^2*t^8.701)/g2^2 + (2*t^8.815)/(g1^2*g2^21) + (2*t^8.815)/g2^15 + (2*g1^2*t^8.815)/g2^9 - (g2^4*t^4.649)/y - t^4.763/(g2^3*y) - (g2^10*t^7.123)/y + t^7.351/(g2^4*y) - (2*g2^12*t^7.948)/y - (3*g2^5*t^8.062)/y - (3*t^8.175)/(g2^2*y) - (2*t^8.289)/(g2^9*y) + (g2^14*t^8.773)/y + (g2^7*t^8.886)/y - g2^4*t^4.649*y - (t^4.763*y)/g2^3 - g2^10*t^7.123*y + (t^7.351*y)/g2^4 - 2*g2^12*t^7.948*y - 3*g2^5*t^8.062*y - (3*t^8.175*y)/g2^2 - (2*t^8.289*y)/g2^9 + g2^14*t^8.773*y + g2^7*t^8.886*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 |
---|---|---|---|---|---|---|---|---|
79531 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }M_{2}S_{1}^{2}$ | 2.4115 | 2.5535 | 0.9444 | [X:[], M:[0.8152, 0.8152], q:[0.5924, 0.5924], qb:[], phi:[], S:[0.5924, 0.5434], Sb:[], A:[], Ab:[]] | 2*t^2.445 + t^3.261 + t^3.408 + 3*t^4.891 + 3*t^5.185 + 3*t^5.332 + 2*t^5.706 + t^5.853 - 5*t^6. - t^4.63/y - t^4.777/y - t^4.63*y - t^4.777*y | detail | |
79528 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{1}q_{2}S_{1}$ + ${ }M_{1}X_{1}$ | 2.2886 | 2.3858 | 0.9592 | [X:[1.3333], M:[0.6667], q:[0.6667, 0.6667], qb:[], phi:[], S:[0.6667, 0.4444], Sb:[], A:[], Ab:[]] | t^2.667 + t^3.333 + 2*t^4. + 4*t^5.333 - t^4.333/y - t^5./y - t^4.333*y - t^5.*y | detail | {a: 1483/648, c: 773/324, X1: 4/3, M1: 2/3, q1: 2/3, q2: 2/3, S1: 2/3, S2: 4/9} |
79518 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{1}^{2}S_{2}$ | 2.3462 | 2.4752 | 0.9479 | [X:[], M:[0.7985], q:[0.7338, 0.4677], qb:[], phi:[], S:[0.6008, 0.5323], Sb:[], A:[], Ab:[]] | t^2.395 + t^3.194 + t^3.399 + t^3.605 + t^4.403 + t^4.608 + t^4.791 + t^5.407 + t^5.589 - t^6. - t^4.597/y - t^4.802/y - t^4.597*y - t^4.802*y | detail | |
79530 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }q_{2}^{2}S_{1}$ | 2.3705 | 2.4976 | 0.9491 | [X:[], M:[0.775], q:[0.5312, 0.6938], qb:[], phi:[], S:[0.6125, 0.5167], Sb:[], A:[], Ab:[]] | t^2.325 + t^3.1 + t^3.388 + t^3.675 + t^4.65 + t^4.737 + t^5.025 + t^5.225 + t^5.425 + t^5.713 - t^6. - t^4.55/y - t^4.837/y - t^4.55*y - t^4.837*y | detail | |
79523 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }S_{2}^{2}$ + ${ }S_{1}^{2}X_{1}$ | 0.9814 | 1.1377 | 0.8627 | [X:[1.5], M:[1.5], q:[0.25, 0.25], qb:[], phi:[], S:[0.25, 1.0], Sb:[], A:[], Ab:[]] | 3*t^2.25 + 2*t^3. + 3*t^3.75 + 8*t^4.5 + 6*t^5.25 + 7*t^6. - t^3.75/y - t^5.25/y - (3*t^6.)/y - t^3.75*y - t^5.25*y - 3*t^6.*y | detail | {a: 1005/1024, c: 1165/1024, X1: 3/2, M1: 3/2, q1: 1/4, q2: 1/4, S1: 1/4, S2: 1} |
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 |
---|---|---|---|---|---|---|---|---|---|
79474 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ | 2.4061 | 2.5298 | 0.9511 | [X:[], M:[0.7345], q:[0.6327, 0.6327], qb:[], phi:[], S:[0.5612, 0.5612], Sb:[], A:[], Ab:[]] | t^2.204 + 3*t^3.367 + t^4.407 + 6*t^5.48 + 3*t^5.571 - 7*t^6. - (2*t^4.684)/y - 2*t^4.684*y | detail |