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 |
|---|---|---|---|---|---|---|---|---|---|
| 46787 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6525 | 0.8144 | 0.8012 | [M:[1.1532, 0.7165, 0.8468, 0.8211, 0.7945], q:[0.4106, 0.4363], qb:[0.873, 0.7426], phi:[0.3844]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [7, 9]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | t^2.149 + t^2.306 + t^2.383 + t^2.463 + t^2.54 + t^3.46 + t^3.694 + t^3.771 + t^3.928 + t^4.299 + t^4.456 + t^4.533 + 2*t^4.613 + 2*t^4.69 + t^4.767 + t^4.77 + 3*t^4.847 + t^4.924 + t^4.927 + t^5.004 + t^5.081 + t^5.609 + t^5.843 + t^5.92 - t^6. + 2*t^6.077 + t^6.154 + 2*t^6.234 + 2*t^6.311 + t^6.391 + t^6.448 + t^6.468 + t^6.605 + t^6.682 + 2*t^6.762 + 2*t^6.839 + t^6.916 + 2*t^6.919 + 3*t^6.996 + 2*t^7.073 + t^7.076 + t^7.15 + 2*t^7.153 + 3*t^7.23 + t^7.233 + t^7.307 + t^7.31 + t^7.387 + t^7.39 + t^7.464 + t^7.467 + t^7.541 + t^7.621 + t^7.698 + t^7.758 + t^7.855 + t^7.992 + t^8.069 - 2*t^8.149 + 2*t^8.226 - t^8.229 + t^8.304 - 2*t^8.306 - t^8.383 + 3*t^8.461 - 4*t^8.463 + t^8.538 - t^8.54 + t^8.598 + 3*t^8.618 + 2*t^8.695 + t^8.755 + 3*t^8.775 + t^8.832 + 2*t^8.852 + t^8.854 + 2*t^8.911 + t^8.932 + 2*t^8.989 - t^4.153/y - t^6.303/y - t^6.46/y - t^6.537/y - t^6.617/y + t^7.456/y + t^7.533/y + t^7.613/y + (3*t^7.69)/y + (2*t^7.77)/y + (3*t^7.847)/y + t^7.924/y + (2*t^8.004)/y - t^8.452/y - t^8.686/y - t^8.766/y + t^8.843/y - t^4.153*y - t^6.303*y - t^6.46*y - t^6.537*y - t^6.617*y + t^7.456*y + t^7.533*y + t^7.613*y + 3*t^7.69*y + 2*t^7.77*y + 3*t^7.847*y + t^7.924*y + 2*t^8.004*y - t^8.452*y - t^8.686*y - t^8.766*y + t^8.843*y | g1^2*g2^4*t^2.149 + t^2.306/(g1^2*g2^2) + g1^7*g2^9*t^2.383 + t^2.463/(g1^6*g2^8) + g1^3*g2^3*t^2.54 + t^3.46/(g1^3*g2^3) + g1^2*g2^2*t^3.694 + g1^11*g2^13*t^3.771 + g1^7*g2^7*t^3.928 + g1^4*g2^8*t^4.299 + g2^2*t^4.456 + g1^9*g2^13*t^4.533 + (2*t^4.613)/(g1^4*g2^4) + 2*g1^5*g2^7*t^4.69 + g1^14*g2^18*t^4.767 + t^4.77/(g1^8*g2^10) + 3*g1*g2*t^4.847 + g1^10*g2^12*t^4.924 + t^4.927/(g1^12*g2^16) + t^5.004/(g1^3*g2^5) + g1^6*g2^6*t^5.081 + (g2*t^5.609)/g1 + g1^4*g2^6*t^5.843 + g1^13*g2^17*t^5.92 - t^6. + 2*g1^9*g2^11*t^6.077 + g1^18*g2^22*t^6.154 + 2*g1^5*g2^5*t^6.234 + 2*g1^14*g2^16*t^6.311 + (g1*t^6.391)/g2 + g1^6*g2^12*t^6.448 + g1^10*g2^10*t^6.468 + g1^2*g2^6*t^6.605 + g1^11*g2^17*t^6.682 + (2*t^6.762)/g1^2 + 2*g1^7*g2^11*t^6.839 + g1^16*g2^22*t^6.916 + (2*t^6.919)/(g1^6*g2^6) + 3*g1^3*g2^5*t^6.996 + 2*g1^12*g2^16*t^7.073 + t^7.076/(g1^10*g2^12) + g1^21*g2^27*t^7.15 + (2*t^7.153)/(g1*g2) + 3*g1^8*g2^10*t^7.23 + t^7.233/(g1^14*g2^18) + g1^17*g2^21*t^7.307 + t^7.31/(g1^5*g2^7) + g1^4*g2^4*t^7.387 + t^7.39/(g1^18*g2^24) + g1^13*g2^15*t^7.464 + t^7.467/(g1^9*g2^13) + g1^22*g2^26*t^7.541 + g1^9*g2^9*t^7.621 + g1^18*g2^20*t^7.698 + g1*g2^5*t^7.758 + g1^14*g2^14*t^7.855 + g1^6*g2^10*t^7.992 + g1^15*g2^21*t^8.069 - 2*g1^2*g2^4*t^8.149 + 2*g1^11*g2^15*t^8.226 - t^8.229/(g1^11*g2^13) + g1^20*g2^26*t^8.304 - (2*t^8.306)/(g1^2*g2^2) - g1^7*g2^9*t^8.383 + 3*g1^16*g2^20*t^8.461 - (4*t^8.463)/(g1^6*g2^8) + g1^25*g2^31*t^8.538 - g1^3*g2^3*t^8.54 + g1^8*g2^16*t^8.598 + 3*g1^12*g2^14*t^8.618 + 2*g1^21*g2^25*t^8.695 + g1^4*g2^10*t^8.755 + 3*g1^8*g2^8*t^8.775 + g1^13*g2^21*t^8.832 + 2*g1^17*g2^19*t^8.852 + t^8.854/(g1^5*g2^9) + 2*g2^4*t^8.911 + g1^4*g2^2*t^8.932 + 2*g1^9*g2^15*t^8.989 - t^4.153/(g1*g2*y) - (g1*g2^3*t^6.303)/y - t^6.46/(g1^3*g2^3*y) - (g1^6*g2^8*t^6.537)/y - t^6.617/(g1^7*g2^9*y) + (g2^2*t^7.456)/y + (g1^9*g2^13*t^7.533)/y + t^7.613/(g1^4*g2^4*y) + (3*g1^5*g2^7*t^7.69)/y + (2*t^7.77)/(g1^8*g2^10*y) + (3*g1*g2*t^7.847)/y + (g1^10*g2^12*t^7.924)/y + (2*t^8.004)/(g1^3*g2^5*y) - (g1^3*g2^7*t^8.452)/y - (g1^8*g2^12*t^8.686)/y - t^8.766/(g1^5*g2^5*y) + (g1^4*g2^6*t^8.843)/y - (t^4.153*y)/(g1*g2) - g1*g2^3*t^6.303*y - (t^6.46*y)/(g1^3*g2^3) - g1^6*g2^8*t^6.537*y - (t^6.617*y)/(g1^7*g2^9) + g2^2*t^7.456*y + g1^9*g2^13*t^7.533*y + (t^7.613*y)/(g1^4*g2^4) + 3*g1^5*g2^7*t^7.69*y + (2*t^7.77*y)/(g1^8*g2^10) + 3*g1*g2*t^7.847*y + g1^10*g2^12*t^7.924*y + (2*t^8.004*y)/(g1^3*g2^5) - g1^3*g2^7*t^8.452*y - g1^8*g2^12*t^8.686*y - (t^8.766*y)/(g1^5*g2^5) + g1^4*g2^6*t^8.843*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 |
|---|---|---|---|---|---|---|---|---|
| 46915 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ | 0.57 | 0.6947 | 0.8205 | [X:[1.4014], M:[1.1972, 0.9977, 0.8028, 0.5986, 1.0023], q:[0.2993, 0.5035], qb:[0.703, 0.8979], phi:[0.3991]] | t^2.394 + t^2.408 + t^2.993 + t^3.007 + t^3.592 + t^3.606 + t^3.62 + t^4.204 + t^4.218 + t^4.789 + 2*t^4.803 + t^4.817 + t^5.401 + t^5.415 + t^5.986 - t^4.197/y - t^4.197*y | detail | |
| 47268 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.6006 | 0.757 | 0.7934 | [M:[1.2513, 1.0, 0.7487, 0.6685, 0.9144], q:[0.3342, 0.4144], qb:[0.6658, 0.9171], phi:[0.4171]] | t^2.005 + t^2.246 + t^2.503 + t^2.743 + t^3. + t^3.241 + t^3.497 + t^3.738 + t^3.754 + t^4.011 + t^4.251 + t^4.492 + t^4.508 + 3*t^4.749 + t^4.989 + 2*t^5.005 + 3*t^5.246 + 2*t^5.487 + t^5.503 + 3*t^5.743 + 2*t^5.984 - t^4.251/y - t^4.251*y | detail | |
| 48251 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6708 | 0.8471 | 0.7919 | [M:[1.1466, 0.7084, 0.8534, 0.8203, 0.7975, 0.7644], q:[0.4101, 0.4433], qb:[0.8814, 0.7364], phi:[0.3822]] | t^2.125 + 2*t^2.293 + t^2.393 + t^2.461 + t^2.56 + t^3.44 + t^3.806 + t^3.974 + t^4.251 + 2*t^4.418 + t^4.518 + 4*t^4.586 + 3*t^4.686 + 2*t^4.754 + t^4.785 + 4*t^4.853 + t^4.922 + t^4.953 + t^5.021 + t^5.121 + t^5.565 + t^5.733 + t^5.932 - 2*t^6. - t^4.147/y - t^4.147*y | detail | |
| 46893 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.4674 | 0.5477 | 0.8533 | [X:[1.7143, 1.4286], M:[0.8571, 0.2857, 1.1429, 0.8571, 0.8571], q:[0.4286, 0.7143], qb:[1.2857, 0.4286], phi:[0.2857]] | 3*t^2.571 + t^3.429 + t^4.286 + 6*t^5.143 - t^6. - t^3.857/y - t^3.857*y | detail | {a: 2565/5488, c: 1503/2744, X1: 12/7, X2: 10/7, M1: 6/7, M2: 2/7, M3: 8/7, M4: 6/7, M5: 6/7, q1: 3/7, q2: 5/7, qb1: 9/7, qb2: 3/7, phi1: 2/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46225 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6366 | 0.7855 | 0.8105 | [M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | t^2.21 + t^2.293 + t^2.376 + t^2.56 + t^3.44 + t^3.522 + t^3.707 + t^3.892 + t^3.974 + t^4.421 + t^4.503 + 2*t^4.586 + t^4.669 + t^4.751 + t^4.771 + 2*t^4.853 + t^4.936 + t^5.121 + t^5.65 + t^5.733 + t^5.815 + t^5.898 - t^6. - t^4.147/y - t^4.147*y | detail |