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 |
|---|---|---|---|---|---|---|---|---|---|
| 55917 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6888 | 0.8731 | 0.7889 | [M:[1.2, 0.9495, 0.8, 0.8498, 0.7003, 0.8], q:[0.4249, 0.3751], qb:[0.6255, 0.7751], phi:[0.4498]] | [M:[[0], [-6], [0], [-2], [4], [0]], q:[[-1], [1]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.101 + 2*t^2.4 + t^2.55 + t^2.699 + t^2.849 + t^3.002 + t^3.6 + t^3.75 + 2*t^4.202 + t^4.351 + 3*t^4.501 + t^4.65 + 4*t^4.8 + 3*t^4.95 + 3*t^5.099 + 2*t^5.103 + 2*t^5.249 + t^5.398 + 2*t^5.402 + t^5.548 + t^5.551 + t^5.697 + 2*t^5.701 + t^5.85 - t^6. + t^6.004 + t^6.15 + t^6.299 + 2*t^6.303 + t^6.449 + t^6.452 + 4*t^6.602 - t^6.748 + 3*t^6.751 + 5*t^6.901 + 4*t^7.05 + 6*t^7.2 + 3*t^7.204 + 4*t^7.35 + t^7.353 + 5*t^7.499 + 4*t^7.503 + 5*t^7.649 + t^7.652 + 3*t^7.798 + 5*t^7.802 + 2*t^7.948 + 3*t^7.951 + 2*t^8.097 + 2*t^8.105 + 2*t^8.247 + t^8.396 - 2*t^8.4 + 4*t^8.404 + t^8.546 - t^8.55 + 2*t^8.553 - 2*t^8.699 + 6*t^8.703 - 2*t^8.849 + 3*t^8.852 - t^8.998 - t^4.35/y - t^6.45/y - t^6.75/y - t^6.899/y - t^7.049/y - t^7.198/y + (3*t^7.501)/y + (2*t^7.65)/y + (3*t^7.8)/y + (4*t^7.95)/y + (2*t^8.099)/y + t^8.103/y + (4*t^8.249)/y + t^8.398/y + (2*t^8.402)/y + t^8.548/y + (2*t^8.701)/y + t^8.85/y - t^4.35*y - t^6.45*y - t^6.75*y - t^6.899*y - t^7.049*y - t^7.198*y + 3*t^7.501*y + 2*t^7.65*y + 3*t^7.8*y + 4*t^7.95*y + 2*t^8.099*y + t^8.103*y + 4*t^8.249*y + t^8.398*y + 2*t^8.402*y + t^8.548*y + 2*t^8.701*y + t^8.85*y | g1^4*t^2.101 + 2*t^2.4 + t^2.55/g1^2 + t^2.699/g1^4 + t^2.849/g1^6 + g1^8*t^3.002 + t^3.6 + t^3.75/g1^2 + 2*g1^8*t^4.202 + g1^6*t^4.351 + 3*g1^4*t^4.501 + g1^2*t^4.65 + 4*t^4.8 + (3*t^4.95)/g1^2 + (3*t^5.099)/g1^4 + 2*g1^12*t^5.103 + (2*t^5.249)/g1^6 + t^5.398/g1^8 + 2*g1^8*t^5.402 + t^5.548/g1^10 + g1^6*t^5.551 + t^5.697/g1^12 + 2*g1^4*t^5.701 + g1^2*t^5.85 - t^6. + g1^16*t^6.004 + t^6.15/g1^2 + t^6.299/g1^4 + 2*g1^12*t^6.303 + t^6.449/g1^6 + g1^10*t^6.452 + 4*g1^8*t^6.602 - t^6.748/g1^10 + 3*g1^6*t^6.751 + 5*g1^4*t^6.901 + 4*g1^2*t^7.05 + 6*t^7.2 + 3*g1^16*t^7.204 + (4*t^7.35)/g1^2 + g1^14*t^7.353 + (5*t^7.499)/g1^4 + 4*g1^12*t^7.503 + (5*t^7.649)/g1^6 + g1^10*t^7.652 + (3*t^7.798)/g1^8 + 5*g1^8*t^7.802 + (2*t^7.948)/g1^10 + 3*g1^6*t^7.951 + (2*t^8.097)/g1^12 + 2*g1^20*t^8.105 + (2*t^8.247)/g1^14 + t^8.396/g1^16 - 2*t^8.4 + 4*g1^16*t^8.404 + t^8.546/g1^18 - t^8.55/g1^2 + 2*g1^14*t^8.553 - (2*t^8.699)/g1^4 + 6*g1^12*t^8.703 - (2*t^8.849)/g1^6 + 3*g1^10*t^8.852 - t^8.998/g1^8 - t^4.35/(g1^2*y) - (g1^2*t^6.45)/y - t^6.75/(g1^2*y) - t^6.899/(g1^4*y) - t^7.049/(g1^6*y) - t^7.198/(g1^8*y) + (3*g1^4*t^7.501)/y + (2*g1^2*t^7.65)/y + (3*t^7.8)/y + (4*t^7.95)/(g1^2*y) + (2*t^8.099)/(g1^4*y) + (g1^12*t^8.103)/y + (4*t^8.249)/(g1^6*y) + t^8.398/(g1^8*y) + (2*g1^8*t^8.402)/y + t^8.548/(g1^10*y) + (2*g1^4*t^8.701)/y + (g1^2*t^8.85)/y - (t^4.35*y)/g1^2 - g1^2*t^6.45*y - (t^6.75*y)/g1^2 - (t^6.899*y)/g1^4 - (t^7.049*y)/g1^6 - (t^7.198*y)/g1^8 + 3*g1^4*t^7.501*y + 2*g1^2*t^7.65*y + 3*t^7.8*y + (4*t^7.95*y)/g1^2 + (2*t^8.099*y)/g1^4 + g1^12*t^8.103*y + (4*t^8.249*y)/g1^6 + (t^8.398*y)/g1^8 + 2*g1^8*t^8.402*y + (t^8.548*y)/g1^10 + 2*g1^4*t^8.701*y + g1^2*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 57585 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{7}$ | 0.7053 | 0.9021 | 0.7818 | [M:[1.2, 0.9495, 0.8, 0.8498, 0.7003, 0.8, 0.8], q:[0.4249, 0.3751], qb:[0.6255, 0.7751], phi:[0.4498]] | t^2.101 + 3*t^2.4 + t^2.55 + t^2.699 + t^2.849 + t^3.002 + t^3.75 + 2*t^4.202 + t^4.351 + 4*t^4.501 + t^4.65 + 7*t^4.8 + 4*t^4.95 + 4*t^5.099 + 2*t^5.103 + 3*t^5.249 + t^5.398 + 3*t^5.402 + t^5.548 + t^5.551 + t^5.697 + t^5.701 + t^5.85 - 3*t^6. - t^4.35/y - t^4.35*y | detail | |
| 57583 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ | 0.6858 | 0.8715 | 0.7869 | [M:[1.2, 0.9859, 0.8, 0.862, 0.6761, 0.8, 1.0141], q:[0.431, 0.369], qb:[0.5831, 0.769], phi:[0.462]] | t^2.028 + 2*t^2.4 + t^2.586 + t^2.772 + t^2.856 + t^3.042 + t^3.6 + t^3.786 + 2*t^4.056 + t^4.242 + 3*t^4.428 + t^4.614 + 4*t^4.8 + 2*t^4.885 + 2*t^4.986 + t^5.07 + 3*t^5.172 + 2*t^5.256 + 3*t^5.442 + 3*t^5.628 + t^5.713 + t^5.814 + t^5.899 - t^6. - t^4.386/y - t^4.386*y | detail | |
| 57575 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}X_{1}$ | 0.6574 | 0.8249 | 0.797 | [X:[1.36], M:[1.2, 1.04, 0.8, 0.88, 0.64, 0.8], q:[0.44, 0.36], qb:[0.52, 0.76], phi:[0.48]] | 2*t^2.4 + 2*t^2.64 + t^2.88 + t^3.12 + t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 3*t^4.8 + 4*t^5.04 + 5*t^5.28 + 3*t^5.52 + t^5.76 - t^4.44/y - t^4.44*y | detail | {a: 32871/50000, c: 20623/25000, X1: 34/25, M1: 6/5, M2: 26/25, M3: 4/5, M4: 22/25, M5: 16/25, M6: 4/5, q1: 11/25, q2: 9/25, qb1: 13/25, qb2: 19/25, phi1: 12/25} |
| 57577 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{5}X_{1}$ | 0.6647 | 0.8313 | 0.7995 | [X:[1.3333], M:[1.2, 1.0, 0.8, 0.8667, 0.6667, 0.8], q:[0.4333, 0.3667], qb:[0.5667, 0.7667], phi:[0.4667]] | 2*t^2.4 + t^2.6 + 2*t^2.8 + t^3. + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + 2*t^5. + 5*t^5.2 + 3*t^5.4 + 3*t^5.6 + t^5.8 - t^4.4/y - t^4.4*y | detail | {a: 997/1500, c: 1247/1500, X1: 4/3, M1: 6/5, M2: 1, M3: 4/5, M4: 13/15, M5: 2/3, M6: 4/5, q1: 13/30, q2: 11/30, qb1: 17/30, qb2: 23/30, phi1: 7/15} |
| 57580 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6723 | 0.8441 | 0.7964 | [M:[1.2, 0.9495, 0.8, 0.8498, 0.7003, 0.8, 1.2], q:[0.4249, 0.3751], qb:[0.6255, 0.7751], phi:[0.4498]] | t^2.101 + t^2.4 + t^2.55 + t^2.699 + t^2.849 + t^3.002 + 2*t^3.6 + t^3.75 + 2*t^4.202 + t^4.351 + 2*t^4.501 + t^4.65 + 2*t^4.8 + 2*t^4.95 + 2*t^5.099 + 2*t^5.103 + t^5.249 + t^5.398 + t^5.402 + t^5.548 + t^5.551 + t^5.697 + 3*t^5.701 + t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail | |
| 57578 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6683 | 0.8338 | 0.8015 | [M:[1.2, 0.9442, 0.8, 0.8481, 0.7038, 0.8, 1.2962], q:[0.424, 0.376], qb:[0.6317, 0.776], phi:[0.4481]] | 2*t^2.4 + t^2.544 + t^2.688 + t^2.833 + t^3.023 + t^3.6 + t^3.744 + t^3.888 + t^4.223 + t^4.367 + t^4.512 + 3*t^4.8 + 2*t^4.944 + 3*t^5.088 + t^5.135 + 2*t^5.233 + t^5.377 + 2*t^5.423 + t^5.521 + t^5.567 + t^5.665 + t^5.712 - t^6. - t^4.344/y - t^4.344*y | detail | |
| 57586 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.7078 | 0.9082 | 0.7793 | [M:[1.2, 0.9549, 0.8, 0.8516, 0.6967, 0.8, 0.7484], q:[0.4258, 0.3742], qb:[0.6193, 0.7742], phi:[0.4516]] | t^2.09 + t^2.245 + 2*t^2.4 + t^2.555 + t^2.71 + t^2.865 + t^2.98 + t^3.6 + 2*t^4.18 + 2*t^4.335 + 4*t^4.49 + 3*t^4.645 + 5*t^4.8 + 4*t^4.955 + 2*t^5.071 + 4*t^5.11 + t^5.226 + 2*t^5.265 + 2*t^5.38 + t^5.42 + t^5.535 + t^5.574 + 2*t^5.69 + t^5.729 + t^5.845 + t^5.961 - t^6. - t^4.355/y - t^4.355*y | detail | |
| 57584 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6919 | 0.8774 | 0.7887 | [M:[1.2, 0.8996, 0.8, 0.8332, 0.7336, 0.8, 0.9328], q:[0.4166, 0.3834], qb:[0.6838, 0.7834], phi:[0.4332]] | t^2.201 + 2*t^2.4 + t^2.5 + t^2.599 + t^2.699 + t^2.799 + t^3.6 + t^3.7 + 2*t^4.401 + t^4.501 + 3*t^4.601 + t^4.7 + 4*t^4.8 + 3*t^4.9 + 4*t^4.999 + 2*t^5.099 + 3*t^5.199 + 2*t^5.298 + 2*t^5.398 + t^5.402 + t^5.497 + t^5.597 + t^5.801 - t^6. - t^4.3/y - t^4.3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48167 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7001 | 0.8886 | 0.7878 | [M:[1.1679, 1.0164, 0.8321, 0.7865, 0.7628, 0.6715], q:[0.3932, 0.4389], qb:[0.5903, 0.7746], phi:[0.4507]] | t^2.015 + t^2.288 + t^2.359 + t^2.496 + t^2.704 + t^3.049 + t^3.088 + t^3.504 + t^3.849 + t^4.029 + t^4.095 + 2*t^4.303 + t^4.374 + t^4.44 + t^4.511 + t^4.577 + t^4.648 + 2*t^4.719 + t^4.785 + t^4.856 + t^4.894 + 2*t^4.993 + 2*t^5.064 + t^5.102 + t^5.201 + t^5.338 + t^5.376 + t^5.409 + t^5.447 + t^5.518 + t^5.584 + t^5.754 + 2*t^5.792 + t^5.863 - 2*t^6. - t^4.352/y - t^4.352*y | detail |