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 |
---|---|---|---|---|---|---|---|---|---|
5217 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7212 | 0.9361 | 0.7705 | [M:[0.8314, 1.0562, 1.1686, 0.719, 0.8314, 0.6967, 0.9438, 0.6745], q:[0.4046, 0.7641], qb:[0.4268, 0.517], phi:[0.4719]] | [M:[[-12], [4], [12], [-20], [-12], [14], [-4], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{1}^{2}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | -2 | t^2.023 + t^2.09 + t^2.157 + 2*t^2.494 + t^2.765 + 2*t^2.831 + t^3.573 + t^3.843 + t^4.047 + t^4.114 + 3*t^4.18 + 2*t^4.247 + t^4.314 + 3*t^4.518 + 2*t^4.584 + 2*t^4.651 + t^4.788 + 3*t^4.855 + 3*t^4.922 + 5*t^4.988 + 2*t^5.259 + 4*t^5.326 + t^5.529 + 3*t^5.596 + 3*t^5.663 + t^5.866 - 2*t^6. + t^6.067 + t^6.07 + t^6.137 + 3*t^6.204 + 3*t^6.27 + 4*t^6.337 + 3*t^6.404 + t^6.471 + 3*t^6.541 + 4*t^6.608 + 7*t^6.674 + 2*t^6.741 + 2*t^6.808 + t^6.811 + 3*t^6.878 + 5*t^6.945 + 10*t^7.012 + 5*t^7.078 + 4*t^7.145 + 3*t^7.282 + 6*t^7.349 + 3*t^7.416 + 6*t^7.482 + t^7.553 + 4*t^7.619 + 4*t^7.686 + 6*t^7.753 + 7*t^7.82 + t^7.89 + t^8.09 + t^8.094 + t^8.157 + t^8.16 - t^8.224 + 3*t^8.227 + 4*t^8.294 + 8*t^8.361 + 4*t^8.427 + 2*t^8.561 + 3*t^8.564 + t^8.628 + 4*t^8.631 + 9*t^8.698 + 2*t^8.765 - t^8.831 + t^8.835 + 3*t^8.898 + 3*t^8.902 + 2*t^8.965 + 5*t^8.968 - t^4.416/y - t^6.439/y - t^6.506/y - t^6.573/y - t^6.91/y + t^7.114/y + t^7.18/y + (2*t^7.518)/y + (3*t^7.584)/y + (2*t^7.651)/y + t^7.788/y + (3*t^7.855)/y + (4*t^7.922)/y + (3*t^7.988)/y + (3*t^8.259)/y + (5*t^8.326)/y + t^8.392/y - t^8.463/y - t^8.529/y + t^8.596/y + t^8.663/y + t^8.866/y - t^4.416*y - t^6.439*y - t^6.506*y - t^6.573*y - t^6.91*y + t^7.114*y + t^7.18*y + 2*t^7.518*y + 3*t^7.584*y + 2*t^7.651*y + t^7.788*y + 3*t^7.855*y + 4*t^7.922*y + 3*t^7.988*y + 3*t^8.259*y + 5*t^8.326*y + t^8.392*y - t^8.463*y - t^8.529*y + t^8.596*y + t^8.663*y + t^8.866*y | g1^48*t^2.023 + g1^14*t^2.09 + t^2.157/g1^20 + (2*t^2.494)/g1^12 + g1^30*t^2.765 + (2*t^2.831)/g1^4 + t^3.573/g1^22 + g1^20*t^3.843 + g1^96*t^4.047 + g1^62*t^4.114 + 3*g1^28*t^4.18 + (2*t^4.247)/g1^6 + t^4.314/g1^40 + 3*g1^36*t^4.518 + 2*g1^2*t^4.584 + (2*t^4.651)/g1^32 + g1^78*t^4.788 + 3*g1^44*t^4.855 + 3*g1^10*t^4.922 + (5*t^4.988)/g1^24 + 2*g1^18*t^5.259 + (4*t^5.326)/g1^16 + g1^60*t^5.529 + 3*g1^26*t^5.596 + (3*t^5.663)/g1^8 + g1^68*t^5.866 - 2*t^6. + t^6.067/g1^34 + g1^144*t^6.07 + g1^110*t^6.137 + 3*g1^76*t^6.204 + 3*g1^42*t^6.27 + 4*g1^8*t^6.337 + (3*t^6.404)/g1^26 + t^6.471/g1^60 + 3*g1^84*t^6.541 + 4*g1^50*t^6.608 + 7*g1^16*t^6.674 + (2*t^6.741)/g1^18 + (2*t^6.808)/g1^52 + g1^126*t^6.811 + 3*g1^92*t^6.878 + 5*g1^58*t^6.945 + 10*g1^24*t^7.012 + (5*t^7.078)/g1^10 + (4*t^7.145)/g1^44 + 3*g1^66*t^7.282 + 6*g1^32*t^7.349 + (3*t^7.416)/g1^2 + (6*t^7.482)/g1^36 + g1^108*t^7.553 + 4*g1^74*t^7.619 + 4*g1^40*t^7.686 + 6*g1^6*t^7.753 + (7*t^7.82)/g1^28 + g1^116*t^7.89 + g1^14*t^8.09 + g1^192*t^8.094 + t^8.157/g1^20 + g1^158*t^8.16 - t^8.224/g1^54 + 3*g1^124*t^8.227 + 4*g1^90*t^8.294 + 8*g1^56*t^8.361 + 4*g1^22*t^8.427 + (2*t^8.561)/g1^46 + 3*g1^132*t^8.564 + t^8.628/g1^80 + 4*g1^98*t^8.631 + 9*g1^64*t^8.698 + 2*g1^30*t^8.765 - t^8.831/g1^4 + g1^174*t^8.835 + (3*t^8.898)/g1^38 + 3*g1^140*t^8.902 + (2*t^8.965)/g1^72 + 5*g1^106*t^8.968 - t^4.416/(g1^2*y) - (g1^46*t^6.439)/y - (g1^12*t^6.506)/y - t^6.573/(g1^22*y) - t^6.91/(g1^14*y) + (g1^62*t^7.114)/y + (g1^28*t^7.18)/y + (2*g1^36*t^7.518)/y + (3*g1^2*t^7.584)/y + (2*t^7.651)/(g1^32*y) + (g1^78*t^7.788)/y + (3*g1^44*t^7.855)/y + (4*g1^10*t^7.922)/y + (3*t^7.988)/(g1^24*y) + (3*g1^18*t^8.259)/y + (5*t^8.326)/(g1^16*y) + t^8.392/(g1^50*y) - (g1^94*t^8.463)/y - (g1^60*t^8.529)/y + (g1^26*t^8.596)/y + t^8.663/(g1^8*y) + (g1^68*t^8.866)/y - (t^4.416*y)/g1^2 - g1^46*t^6.439*y - g1^12*t^6.506*y - (t^6.573*y)/g1^22 - (t^6.91*y)/g1^14 + g1^62*t^7.114*y + g1^28*t^7.18*y + 2*g1^36*t^7.518*y + 3*g1^2*t^7.584*y + (2*t^7.651*y)/g1^32 + g1^78*t^7.788*y + 3*g1^44*t^7.855*y + 4*g1^10*t^7.922*y + (3*t^7.988*y)/g1^24 + 3*g1^18*t^8.259*y + (5*t^8.326*y)/g1^16 + (t^8.392*y)/g1^50 - g1^94*t^8.463*y - g1^60*t^8.529*y + g1^26*t^8.596*y + (t^8.663*y)/g1^8 + g1^68*t^8.866*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 |
---|---|---|---|---|---|---|---|---|
6764 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{4}X_{1}$ | 0.5576 | 0.7169 | 0.7778 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.7097, 0.8387, 0.9032, 1.1613], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | 2*t^2.129 + t^2.516 + 2*t^2.71 + t^2.903 + t^3.484 + t^3.677 + t^4.065 + 3*t^4.258 + t^4.452 + 2*t^4.645 + 4*t^4.839 + 3*t^5.032 + 2*t^5.226 + 3*t^5.419 + 4*t^5.613 + t^5.806 - 2*t^6. - t^4.355/y - t^4.355*y | detail | {a: 265803/476656, c: 170861/238328, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 22/31, M6: 26/31, M7: 28/31, M8: 36/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3541 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.7004 | 0.895 | 0.7826 | [M:[0.8302, 1.0566, 1.1698, 0.7171, 0.8302, 0.698, 0.9434], q:[0.4056, 0.7641], qb:[0.4246, 0.5188], phi:[0.4717]] | t^2.094 + t^2.151 + 2*t^2.491 + t^2.773 + 2*t^2.83 + t^3.566 + t^3.849 + t^3.963 + 2*t^4.188 + 2*t^4.245 + t^4.302 + t^4.528 + 2*t^4.585 + 2*t^4.642 + t^4.867 + 3*t^4.924 + 5*t^4.981 + 2*t^5.264 + 4*t^5.321 + t^5.546 + 2*t^5.603 + 3*t^5.66 - 2*t^6. - t^4.415/y - t^4.415*y | detail |