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 |
---|---|---|---|---|---|---|---|---|---|
3395 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6888 | 0.8814 | 0.7814 | [M:[0.7416, 0.7927, 0.685, 0.8493, 1.1507, 0.8493, 0.7672], q:[0.862, 0.3964], qb:[0.4529, 0.7544], phi:[0.3836]] | [M:[[2, 10], [-6, -6], [-7, 7], [3, -3], [-3, 3], [3, -3], [-2, 2]], q:[[1, -7], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}$ | -3 | t^2.055 + t^2.225 + 2*t^2.301 + t^2.378 + 2*t^2.548 + t^3.529 + t^3.868 + t^4.11 + t^4.28 + 2*t^4.357 + t^4.433 + t^4.45 + 2*t^4.526 + 6*t^4.603 + 2*t^4.68 + t^4.756 + 2*t^4.773 + 5*t^4.849 + 2*t^4.926 + 3*t^5.096 + t^5.584 + t^5.83 + t^5.907 - 3*t^6. + t^6.077 + t^6.093 + t^6.165 + t^6.17 + t^6.335 + 2*t^6.412 + 2*t^6.416 + t^6.488 + t^6.505 + 2*t^6.581 + 6*t^6.658 + t^6.674 + 2*t^6.735 + 2*t^6.751 + t^6.811 + 6*t^6.828 + 10*t^6.904 + 5*t^6.981 + 2*t^6.997 + 3*t^7.058 + 4*t^7.074 + t^7.134 + 10*t^7.151 + 3*t^7.227 + 2*t^7.304 + t^7.32 + 5*t^7.397 + 2*t^7.474 - t^7.567 + t^7.639 + 3*t^7.643 + t^7.736 + t^7.885 + t^7.962 - 4*t^8.055 + 2*t^8.132 + t^8.208 + t^8.221 - 4*t^8.225 + t^8.285 - 8*t^8.301 + t^8.318 - 3*t^8.378 + t^8.39 + t^8.395 + t^8.455 + 2*t^8.467 + t^8.543 - 9*t^8.548 + t^8.56 + 2*t^8.637 + 2*t^8.641 + 6*t^8.713 + 2*t^8.717 + t^8.73 + 2*t^8.79 - t^8.794 + 2*t^8.806 + t^8.866 + 6*t^8.883 + t^8.899 + 10*t^8.96 + 3*t^8.964 + 2*t^8.976 - t^4.151/y - t^6.206/y - t^6.376/y - (2*t^6.452)/y - t^6.529/y - t^6.699/y + t^7.28/y + (2*t^7.357)/y + t^7.433/y + (2*t^7.526)/y + (5*t^7.603)/y + (2*t^7.68)/y + (3*t^7.773)/y + (6*t^7.849)/y + (3*t^7.926)/y + (2*t^8.096)/y - t^8.261/y - t^8.431/y - (2*t^8.507)/y - t^8.6/y - (2*t^8.677)/y - (4*t^8.754)/y - t^4.151*y - t^6.206*y - t^6.376*y - 2*t^6.452*y - t^6.529*y - t^6.699*y + t^7.28*y + 2*t^7.357*y + t^7.433*y + 2*t^7.526*y + 5*t^7.603*y + 2*t^7.68*y + 3*t^7.773*y + 6*t^7.849*y + 3*t^7.926*y + 2*t^8.096*y - t^8.261*y - t^8.431*y - 2*t^8.507*y - t^8.6*y - 2*t^8.677*y - 4*t^8.754*y | (g2^7*t^2.055)/g1^7 + g1^2*g2^10*t^2.225 + (2*g2^2*t^2.301)/g1^2 + t^2.378/(g1^6*g2^6) + (2*g1^3*t^2.548)/g2^3 + t^3.529/(g1^7*g2^5) + g1^11*g2*t^3.868 + (g2^14*t^4.11)/g1^14 + (g2^17*t^4.28)/g1^5 + (2*g2^9*t^4.357)/g1^9 + (g2*t^4.433)/g1^13 + g1^4*g2^20*t^4.45 + 2*g2^12*t^4.526 + (6*g2^4*t^4.603)/g1^4 + (2*t^4.68)/(g1^8*g2^4) + t^4.756/(g1^12*g2^12) + 2*g1^5*g2^7*t^4.773 + (5*g1*t^4.849)/g2 + (2*t^4.926)/(g1^3*g2^9) + (3*g1^6*t^5.096)/g2^6 + (g2^2*t^5.584)/g1^14 + t^5.83/(g1^9*g2^3) + t^5.907/(g1^13*g2^11) - 3*t^6. + t^6.077/(g1^4*g2^8) + g1^13*g2^11*t^6.093 + (g2^21*t^6.165)/g1^21 + g1^9*g2^3*t^6.17 + (g2^24*t^6.335)/g1^12 + (2*g2^16*t^6.412)/g1^16 + (2*g1^14*t^6.416)/g2^2 + (g2^8*t^6.488)/g1^20 + (g2^27*t^6.505)/g1^3 + (2*g2^19*t^6.581)/g1^7 + (6*g2^11*t^6.658)/g1^11 + g1^6*g2^30*t^6.674 + (2*g2^3*t^6.735)/g1^15 + 2*g1^2*g2^22*t^6.751 + t^6.811/(g1^19*g2^5) + (6*g2^14*t^6.828)/g1^2 + (10*g2^6*t^6.904)/g1^6 + (5*t^6.981)/(g1^10*g2^2) + 2*g1^7*g2^17*t^6.997 + (3*t^7.058)/(g1^14*g2^10) + 4*g1^3*g2^9*t^7.074 + t^7.134/(g1^18*g2^18) + (10*g2*t^7.151)/g1 + (3*t^7.227)/(g1^5*g2^7) + (2*t^7.304)/(g1^9*g2^15) + g1^8*g2^4*t^7.32 + (5*g1^4*t^7.397)/g2^4 + (2*t^7.474)/g2^12 - (g1^13*t^7.567)/g2 + (g2^9*t^7.639)/g1^21 + (3*g1^9*t^7.643)/g2^9 + g1^22*g2^2*t^7.736 + (g2^4*t^7.885)/g1^16 + t^7.962/(g1^20*g2^4) - (4*g2^7*t^8.055)/g1^7 + (2*t^8.132)/(g1^11*g2) + t^8.208/(g1^15*g2^9) + (g2^28*t^8.221)/g1^28 - 4*g1^2*g2^10*t^8.225 + t^8.285/(g1^19*g2^17) - (8*g2^2*t^8.301)/g1^2 + g1^15*g2^21*t^8.318 - (3*t^8.378)/(g1^6*g2^6) + (g2^31*t^8.39)/g1^19 + g1^11*g2^13*t^8.395 + t^8.455/(g1^10*g2^14) + (2*g2^23*t^8.467)/g1^23 + (g2^15*t^8.543)/g1^27 - (9*g1^3*t^8.548)/g2^3 + (g2^34*t^8.56)/g1^10 + (2*g2^26*t^8.637)/g1^14 + 2*g1^16*g2^8*t^8.641 + (6*g2^18*t^8.713)/g1^18 + 2*g1^12*t^8.717 + (g2^37*t^8.73)/g1 + (2*g2^10*t^8.79)/g1^22 - (g1^8*t^8.794)/g2^8 + (2*g2^29*t^8.806)/g1^5 + (g2^2*t^8.866)/g1^26 + (6*g2^21*t^8.883)/g1^9 + g1^8*g2^40*t^8.899 + (10*g2^13*t^8.96)/g1^13 + (3*g1^17*t^8.964)/g2^5 + 2*g1^4*g2^32*t^8.976 - (g2*t^4.151)/(g1*y) - (g2^8*t^6.206)/(g1^8*y) - (g1*g2^11*t^6.376)/y - (2*g2^3*t^6.452)/(g1^3*y) - t^6.529/(g1^7*g2^5*y) - (g1^2*t^6.699)/(g2^2*y) + (g2^17*t^7.28)/(g1^5*y) + (2*g2^9*t^7.357)/(g1^9*y) + (g2*t^7.433)/(g1^13*y) + (2*g2^12*t^7.526)/y + (5*g2^4*t^7.603)/(g1^4*y) + (2*t^7.68)/(g1^8*g2^4*y) + (3*g1^5*g2^7*t^7.773)/y + (6*g1*t^7.849)/(g2*y) + (3*t^7.926)/(g1^3*g2^9*y) + (2*g1^6*t^8.096)/(g2^6*y) - (g2^15*t^8.261)/(g1^15*y) - (g2^18*t^8.431)/(g1^6*y) - (2*g2^10*t^8.507)/(g1^10*y) - (g1^3*g2^21*t^8.6)/y - (2*g2^13*t^8.677)/(g1*y) - (4*g2^5*t^8.754)/(g1^5*y) - (g2*t^4.151*y)/g1 - (g2^8*t^6.206*y)/g1^8 - g1*g2^11*t^6.376*y - (2*g2^3*t^6.452*y)/g1^3 - (t^6.529*y)/(g1^7*g2^5) - (g1^2*t^6.699*y)/g2^2 + (g2^17*t^7.28*y)/g1^5 + (2*g2^9*t^7.357*y)/g1^9 + (g2*t^7.433*y)/g1^13 + 2*g2^12*t^7.526*y + (5*g2^4*t^7.603*y)/g1^4 + (2*t^7.68*y)/(g1^8*g2^4) + 3*g1^5*g2^7*t^7.773*y + (6*g1*t^7.849*y)/g2 + (3*t^7.926*y)/(g1^3*g2^9) + (2*g1^6*t^8.096*y)/g2^6 - (g2^15*t^8.261*y)/g1^15 - (g2^18*t^8.431*y)/g1^6 - (2*g2^10*t^8.507*y)/g1^10 - g1^3*g2^21*t^8.6*y - (2*g2^13*t^8.677*y)/g1 - (4*g2^5*t^8.754*y)/g1^5 |
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
2842 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ | 0.6706 | 0.8484 | 0.7904 | [M:[0.7464, 0.7935, 0.6948, 0.8451, 1.1549, 0.8451], q:[0.8569, 0.3967], qb:[0.4484, 0.7582], phi:[0.385]] | t^2.084 + t^2.239 + t^2.31 + t^2.38 + 2*t^2.535 + t^3.535 + t^3.69 + t^3.845 + t^4.169 + t^4.324 + t^4.394 + t^4.465 + t^4.478 + t^4.549 + 4*t^4.62 + t^4.69 + t^4.761 + 2*t^4.775 + 3*t^4.845 + 2*t^4.916 + 3*t^5.071 + t^5.62 + t^5.775 + t^5.916 + t^5.929 - 2*t^6. - t^4.155/y - t^4.155*y | detail |