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 |
|---|---|---|---|---|---|---|---|---|---|
| 1059 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ | 0.6382 | 0.7991 | 0.7986 | [M:[1.0473, 1.1509, 0.7736, 0.7264, 0.8491, 1.0], q:[0.7877, 0.2877], qb:[0.665, 0.5614], phi:[0.4245]] | [M:[[12], [-4], [6], [-6], [4], [0]], q:[[-1], [-1]], qb:[[-11], [5]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}q_{1}q_{2}$ | ${}$ | -2 | t^2.179 + t^2.321 + 2*t^2.547 + t^3. + t^3.142 + t^3.226 + t^4.047 + t^4.132 + 2*t^4.358 + t^4.5 + 2*t^4.642 + 2*t^4.726 + t^4.868 + t^4.953 + 3*t^5.095 + t^5.264 + 2*t^5.321 + t^5.405 + t^5.463 + 3*t^5.547 + t^5.689 + t^5.774 - 2*t^6. + 2*t^6.226 + t^6.284 + t^6.368 + 2*t^6.537 + t^6.595 + 2*t^6.679 + t^6.821 + 2*t^6.905 + t^6.963 + t^7.047 + t^7.132 + 4*t^7.189 + 3*t^7.274 + t^7.358 + t^7.415 + t^7.443 + 2*t^7.5 + t^7.585 + 6*t^7.642 + t^7.726 + 2*t^7.784 + t^7.811 + 3*t^7.868 + t^8.01 + 3*t^8.095 - 3*t^8.179 + t^8.236 + t^8.264 - t^8.321 + t^8.405 + t^8.463 + t^8.49 - 2*t^8.547 + t^8.605 + 2*t^8.689 + 2*t^8.716 + t^8.774 + t^8.831 - t^4.274/y - t^6.453/y - t^6.595/y - t^6.821/y + t^7.132/y - t^7.415/y + t^7.5/y + (3*t^7.726)/y + (2*t^7.868)/y + t^7.953/y + (2*t^8.095)/y + t^8.179/y + (2*t^8.321)/y + t^8.405/y + t^8.463/y + (3*t^8.547)/y - t^8.632/y + (2*t^8.689)/y + t^8.774/y - t^8.915/y - t^4.274*y - t^6.453*y - t^6.595*y - t^6.821*y + t^7.132*y - t^7.415*y + t^7.5*y + 3*t^7.726*y + 2*t^7.868*y + t^7.953*y + 2*t^8.095*y + t^8.179*y + 2*t^8.321*y + t^8.405*y + t^8.463*y + 3*t^8.547*y - t^8.632*y + 2*t^8.689*y + t^8.774*y - t^8.915*y | t^2.179/g1^6 + g1^6*t^2.321 + 2*g1^4*t^2.547 + t^3. + g1^12*t^3.142 + t^3.226/g1^2 + g1^4*t^4.047 + t^4.132/g1^10 + (2*t^4.358)/g1^12 + t^4.5 + 2*g1^12*t^4.642 + (2*t^4.726)/g1^2 + g1^10*t^4.868 + t^4.953/g1^4 + 3*g1^8*t^5.095 + t^5.264/g1^20 + 2*g1^6*t^5.321 + t^5.405/g1^8 + g1^18*t^5.463 + 3*g1^4*t^5.547 + g1^16*t^5.689 + g1^2*t^5.774 - 2*t^6. + (2*t^6.226)/g1^2 + g1^24*t^6.284 + g1^10*t^6.368 + (2*t^6.537)/g1^18 + g1^8*t^6.595 + (2*t^6.679)/g1^6 + g1^6*t^6.821 + (2*t^6.905)/g1^8 + g1^18*t^6.963 + g1^4*t^7.047 + t^7.132/g1^10 + 4*g1^16*t^7.189 + 3*g1^2*t^7.274 + t^7.358/g1^12 + g1^14*t^7.415 + t^7.443/g1^26 + 2*t^7.5 + t^7.585/g1^14 + 6*g1^12*t^7.642 + t^7.726/g1^2 + 2*g1^24*t^7.784 + t^7.811/g1^16 + 3*g1^10*t^7.868 + g1^22*t^8.01 + 3*g1^8*t^8.095 - (3*t^8.179)/g1^6 + g1^20*t^8.236 + t^8.264/g1^20 - g1^6*t^8.321 + t^8.405/g1^8 + g1^18*t^8.463 + t^8.49/g1^22 - 2*g1^4*t^8.547 + g1^30*t^8.605 + 2*g1^16*t^8.689 + (2*t^8.716)/g1^24 + g1^2*t^8.774 + g1^28*t^8.831 - (g1^2*t^4.274)/y - t^6.453/(g1^4*y) - (g1^8*t^6.595)/y - (g1^6*t^6.821)/y + t^7.132/(g1^10*y) - (g1^14*t^7.415)/y + t^7.5/y + (3*t^7.726)/(g1^2*y) + (2*g1^10*t^7.868)/y + t^7.953/(g1^4*y) + (2*g1^8*t^8.095)/y + t^8.179/(g1^6*y) + (2*g1^6*t^8.321)/y + t^8.405/(g1^8*y) + (g1^18*t^8.463)/y + (3*g1^4*t^8.547)/y - t^8.632/(g1^10*y) + (2*g1^16*t^8.689)/y + (g1^2*t^8.774)/y - (g1^14*t^8.915)/y - g1^2*t^4.274*y - (t^6.453*y)/g1^4 - g1^8*t^6.595*y - g1^6*t^6.821*y + (t^7.132*y)/g1^10 - g1^14*t^7.415*y + t^7.5*y + (3*t^7.726*y)/g1^2 + 2*g1^10*t^7.868*y + (t^7.953*y)/g1^4 + 2*g1^8*t^8.095*y + (t^8.179*y)/g1^6 + 2*g1^6*t^8.321*y + (t^8.405*y)/g1^8 + g1^18*t^8.463*y + 3*g1^4*t^8.547*y - (t^8.632*y)/g1^10 + 2*g1^16*t^8.689*y + g1^2*t^8.774*y - g1^14*t^8.915*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 |
|---|---|---|---|---|---|---|---|---|
| 1650 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}X_{1}$ | 0.6069 | 0.7458 | 0.8138 | [X:[1.3333], M:[1.1667, 1.1111, 0.8333, 0.6667, 0.8889, 1.0], q:[0.7778, 0.2778], qb:[0.5556, 0.6111], phi:[0.4444]] | t^2.5 + 2*t^2.667 + t^3. + t^3.167 + t^3.5 + t^3.833 + 2*t^4. + t^4.167 + t^4.667 + t^4.833 + t^5. + t^5.167 + 3*t^5.333 + t^5.5 + 3*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 1573/2592, c: 1933/2592, X1: 4/3, M1: 7/6, M2: 10/9, M3: 5/6, M4: 2/3, M5: 8/9, M6: 1, q1: 7/9, q2: 5/18, qb1: 5/9, qb2: 11/18, phi1: 4/9} |
| 1648 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{5}$ | 0.6338 | 0.7939 | 0.7983 | [M:[1.125, 1.125, 0.8125, 0.6875, 0.875, 1.0], q:[0.7813, 0.2813], qb:[0.5938, 0.5938], phi:[0.4375]] | t^2.063 + t^2.438 + 2*t^2.625 + t^3. + t^3.188 + t^3.375 + t^3.938 + 3*t^4.125 + t^4.5 + 2*t^4.688 + 4*t^4.875 + t^5.063 + 4*t^5.25 + 2*t^5.438 + 3*t^5.625 + 2*t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 83067/131072, c: 104059/131072, M1: 9/8, M2: 9/8, M3: 13/16, M4: 11/16, M5: 7/8, M6: 1, q1: 25/32, q2: 9/32, qb1: 19/32, qb2: 19/32, phi1: 7/16} |
| 1649 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{3}X_{1}$ | 0.557 | 0.6976 | 0.7984 | [X:[1.375], M:[0.75, 1.25, 0.625, 0.875, 0.75, 1.0], q:[0.8125, 0.3125], qb:[0.9375, 0.4375], phi:[0.375]] | 3*t^2.25 + t^2.625 + t^3. + t^3.375 + 2*t^3.75 + 5*t^4.5 + 4*t^4.875 + 5*t^5.25 + 4*t^6. - t^4.125/y - t^4.125*y | detail | {a: 4563/8192, c: 5715/8192, X1: 11/8, M1: 3/4, M2: 5/4, M3: 5/8, M4: 7/8, M5: 3/4, M6: 1, q1: 13/16, q2: 5/16, qb1: 15/16, qb2: 7/16, phi1: 3/8} |
| 1647 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6452 | 0.8111 | 0.7955 | [M:[1.037, 1.1543, 0.7685, 0.7315, 0.8457, 1.0, 0.9228], q:[0.7886, 0.2886], qb:[0.6744, 0.5571], phi:[0.4228]] | t^2.195 + t^2.305 + 2*t^2.537 + t^2.768 + t^3. + t^3.111 + t^4.037 + t^4.158 + 2*t^4.389 + t^4.5 + 2*t^4.611 + 2*t^4.732 + t^4.842 + 2*t^4.963 + 4*t^5.074 + 4*t^5.305 + t^5.315 + t^5.416 + 3*t^5.537 + t^5.648 + t^5.879 - 2*t^6. - t^4.268/y - t^4.268*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 663 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7021 | 0.8823 | 0.7958 | [M:[0.9637, 1.1255, 0.9715, 0.6883, 0.8745, 0.6805], q:[0.7814, 0.4411], qb:[0.5951, 0.4334], phi:[0.4372]] | t^2.041 + t^2.065 + 2*t^2.623 + t^2.891 + t^2.915 + t^3.644 + t^3.668 + t^3.912 + t^4.083 + t^4.106 + 2*t^4.13 + t^4.397 + t^4.421 + 2*t^4.665 + 2*t^4.688 + t^4.883 + t^4.933 + 2*t^4.956 + t^4.979 + 3*t^5.247 + t^5.515 + t^5.538 + t^5.686 + 2*t^5.709 + t^5.732 + t^5.782 + t^5.806 + t^5.829 + t^5.953 - 3*t^6. - t^4.312/y - t^4.312*y | detail |