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 |
---|---|---|---|---|---|---|---|---|---|
79485 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ | 2.3431 | 2.4889 | 0.9414 | [X:[], M:[1.0], q:[0.5, 0.5], qb:[], phi:[], S:[0.5833, 0.5833], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, 0]], q:[[-1, 0], [1, 0]], qb:[], phi:[], S:[[0, -1], [0, 1]], Sb:[], A:[], Ab:[]] | 2 | {a: 3599/1536, c: 3823/1536, M1: 1, q1: 1/2, q2: 1/2, S1: 7/12, S2: 7/12} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }S_{1}^{2}$, ${ }S_{1}S_{2}$, ${ }S_{2}^{2}$, ${ }S_{1}^{2}$, ${ }S_{2}^{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{2}^{2}S_{2}$ | ${}$ | -6 | t^3. + 3*t^3.5 + 6*t^4.75 - 6*t^6. + 9*t^6.5 + 12*t^7. - 6*t^7.25 - 2*t^7.75 + 38*t^8.25 + t^8.5 - (2*t^4.75)/y + (2*t^7.25)/y - (2*t^7.75)/y - (10*t^8.25)/y - 2*t^4.75*y + 2*t^7.25*y - 2*t^7.75*y - 10*t^8.25*y | t^3. + t^3.5 + t^3.5/g2^2 + g2^2*t^3.5 + t^4.75/g2 + t^4.75/(g1^2*g2) + (g1^2*t^4.75)/g2 + g2*t^4.75 + (g2*t^4.75)/g1^2 + g1^2*g2*t^4.75 - 2*t^6. - t^6./g1^2 - g1^2*t^6. - t^6./g2^2 - g2^2*t^6. + 3*t^6.5 + t^6.5/g1^2 + g1^2*t^6.5 + (2*t^6.5)/g2^2 + 2*g2^2*t^6.5 + 4*t^7. + (2*t^7.)/g2^4 + (2*t^7.)/g2^2 + 2*g2^2*t^7. + 2*g2^4*t^7. - t^7.25/g2 - t^7.25/(g1^2*g2) - (g1^2*t^7.25)/g2 - g2*t^7.25 - (g2*t^7.25)/g1^2 - g1^2*g2*t^7.25 - t^7.75/g2 - g2*t^7.75 + (2*t^8.25)/g2^3 + (2*t^8.25)/(g1^2*g2^3) + (2*g1^2*t^8.25)/g2^3 + (5*t^8.25)/g2 + (4*t^8.25)/(g1^2*g2) + (4*g1^2*t^8.25)/g2 + 5*g2*t^8.25 + (4*g2*t^8.25)/g1^2 + 4*g1^2*g2*t^8.25 + 2*g2^3*t^8.25 + (2*g2^3*t^8.25)/g1^2 + 2*g1^2*g2^3*t^8.25 + t^8.5 - t^4.75/(g2*y) - (g2*t^4.75)/y + t^7.25/(g2*y) + (g2*t^7.25)/y - t^7.75/(g2*y) - (g2*t^7.75)/y - (2*t^8.25)/(g2^3*y) - (3*t^8.25)/(g2*y) - (3*g2*t^8.25)/y - (2*g2^3*t^8.25)/y - (t^4.75*y)/g2 - g2*t^4.75*y + (t^7.25*y)/g2 + g2*t^7.25*y - (t^7.75*y)/g2 - g2*t^7.75*y - (2*t^8.25*y)/g2^3 - (3*t^8.25*y)/g2 - 3*g2*t^8.25*y - 2*g2^3*t^8.25*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 |
---|---|---|---|---|---|---|---|---|
79492 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ | 2.3581 | 2.5155 | 0.9374 | [X:[], M:[1.0, 0.8149], q:[0.5, 0.5], qb:[], phi:[], S:[0.5741, 0.5926], Sb:[], A:[], Ab:[]] | t^2.445 + t^3. + t^3.445 + t^3.5 + 3*t^4.722 + 3*t^4.778 + t^4.889 + t^5.445 + t^5.889 - 4*t^6. - t^4.722/y - t^4.778/y - t^4.722*y - t^4.778*y | detail | |
79516 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}^{2}S_{1}$ | 2.2123 | 2.3581 | 0.9382 | [X:[], M:[1.0], q:[0.686, 0.314], qb:[], phi:[], S:[0.628, 0.5387], Sb:[], A:[], Ab:[]] | t^3. + t^3.232 + 2*t^3.5 + 2*t^3.768 + t^4.616 + t^5.384 - 2*t^6. - t^4.616/y - t^4.884/y - t^4.616*y - t^4.884*y | detail | {a: 95147/43008, c: 101419/43008, M1: 1, q1: 461/672, q2: 211/672, S1: 211/336, S2: 181/336} |
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 |