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 |
|---|---|---|---|---|---|---|---|---|---|
| 3189 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5978 | 0.762 | 0.7845 | [M:[1.0258, 0.6737, 0.9742, 0.7254, 1.2746, 1.0258, 0.7981], q:[0.6373, 0.3369], qb:[0.3885, 0.9378], phi:[0.4249]] | [M:[[14], [-22], [-14], [6], [-6], [14], [-32]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -1 | t^2.021 + t^2.176 + t^2.394 + t^2.549 + 2*t^3.077 + t^3.296 + t^3.451 + t^3.824 + t^4.042 + t^4.197 + t^4.352 + t^4.415 + 2*t^4.57 + 2*t^4.725 + t^4.789 + t^4.944 + 3*t^5.099 + 2*t^5.254 + t^5.317 + 3*t^5.472 + 2*t^5.627 + t^5.69 + 2*t^5.845 - t^6. + t^6.063 + 2*t^6.155 + 2*t^6.218 + 2*t^6.373 + t^6.437 + t^6.528 + 3*t^6.592 + 2*t^6.746 + t^6.81 + t^6.901 + 2*t^6.965 - t^7.056 + 5*t^7.12 + t^7.183 + 2*t^7.275 + 2*t^7.338 + 4*t^7.493 + 4*t^7.648 + t^7.711 + 2*t^7.803 + 4*t^7.866 + 2*t^8.084 + t^8.176 + 3*t^8.239 + t^8.331 + t^8.394 + t^8.458 + t^8.549 + 4*t^8.613 + 3*t^8.768 + t^8.831 + 3*t^8.986 - t^4.275/y - t^6.296/y - t^6.669/y - t^6.824/y + (2*t^7.197)/y - t^7.352/y + t^7.415/y + (2*t^7.57)/y + (2*t^7.725)/y + t^7.88/y + t^7.944/y + (2*t^8.099)/y + (3*t^8.254)/y + (4*t^8.472)/y + (3*t^8.627)/y + (2*t^8.845)/y - t^4.275*y - t^6.296*y - t^6.669*y - t^6.824*y + 2*t^7.197*y - t^7.352*y + t^7.415*y + 2*t^7.57*y + 2*t^7.725*y + t^7.88*y + t^7.944*y + 2*t^8.099*y + 3*t^8.254*y + 4*t^8.472*y + 3*t^8.627*y + 2*t^8.845*y | t^2.021/g1^22 + g1^6*t^2.176 + t^2.394/g1^32 + t^2.549/g1^4 + 2*g1^14*t^3.077 + t^3.296/g1^24 + g1^4*t^3.451 + t^3.824/g1^6 + t^4.042/g1^44 + t^4.197/g1^16 + g1^12*t^4.352 + t^4.415/g1^54 + (2*t^4.57)/g1^26 + 2*g1^2*t^4.725 + t^4.789/g1^64 + t^4.944/g1^36 + (3*t^5.099)/g1^8 + 2*g1^20*t^5.254 + t^5.317/g1^46 + (3*t^5.472)/g1^18 + 2*g1^10*t^5.627 + t^5.69/g1^56 + (2*t^5.845)/g1^28 - t^6. + t^6.063/g1^66 + 2*g1^28*t^6.155 + (2*t^6.218)/g1^38 + (2*t^6.373)/g1^10 + t^6.437/g1^76 + g1^18*t^6.528 + (3*t^6.592)/g1^48 + (2*t^6.746)/g1^20 + t^6.81/g1^86 + g1^8*t^6.901 + (2*t^6.965)/g1^58 - g1^36*t^7.056 + (5*t^7.12)/g1^30 + t^7.183/g1^96 + (2*t^7.275)/g1^2 + (2*t^7.338)/g1^68 + (4*t^7.493)/g1^40 + (4*t^7.648)/g1^12 + t^7.711/g1^78 + 2*g1^16*t^7.803 + (4*t^7.866)/g1^50 + (2*t^8.084)/g1^88 + g1^6*t^8.176 + (3*t^8.239)/g1^60 + g1^34*t^8.331 + t^8.394/g1^32 + t^8.458/g1^98 + t^8.549/g1^4 + (4*t^8.613)/g1^70 + (3*t^8.768)/g1^42 + t^8.831/g1^108 + (3*t^8.986)/g1^80 - t^4.275/(g1^2*y) - t^6.296/(g1^24*y) - t^6.669/(g1^34*y) - t^6.824/(g1^6*y) + (2*t^7.197)/(g1^16*y) - (g1^12*t^7.352)/y + t^7.415/(g1^54*y) + (2*t^7.57)/(g1^26*y) + (2*g1^2*t^7.725)/y + (g1^30*t^7.88)/y + t^7.944/(g1^36*y) + (2*t^8.099)/(g1^8*y) + (3*g1^20*t^8.254)/y + (4*t^8.472)/(g1^18*y) + (3*g1^10*t^8.627)/y + (2*t^8.845)/(g1^28*y) - (t^4.275*y)/g1^2 - (t^6.296*y)/g1^24 - (t^6.669*y)/g1^34 - (t^6.824*y)/g1^6 + (2*t^7.197*y)/g1^16 - g1^12*t^7.352*y + (t^7.415*y)/g1^54 + (2*t^7.57*y)/g1^26 + 2*g1^2*t^7.725*y + g1^30*t^7.88*y + (t^7.944*y)/g1^36 + (2*t^8.099*y)/g1^8 + 3*g1^20*t^8.254*y + (4*t^8.472*y)/g1^18 + 3*g1^10*t^8.627*y + (2*t^8.845*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5060 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.5805 | 0.7354 | 0.7894 | [M:[0.9565, 0.7826, 1.0435, 0.6957, 1.3043, 0.9565, 0.9565], q:[0.6522, 0.3913], qb:[0.3043, 0.913], phi:[0.4348]] | t^2.087 + t^2.348 + t^2.609 + 3*t^2.87 + t^3.391 + t^3.652 + t^3.913 + t^4.174 + t^4.435 + 3*t^4.696 + 4*t^4.957 + 4*t^5.217 + 3*t^5.478 + 6*t^5.739 - t^4.304/y - t^4.304*y | detail | {a: 113013/194672, c: 71583/97336, M1: 22/23, M2: 18/23, M3: 24/23, M4: 16/23, M5: 30/23, M6: 22/23, M7: 22/23, q1: 15/23, q2: 9/23, qb1: 7/23, qb2: 21/23, phi1: 10/23} |
| 5066 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{8}$ | 0.6177 | 0.7989 | 0.7732 | [M:[1.0242, 0.6763, 0.9758, 0.7246, 1.2754, 1.0242, 0.8019, 0.7246], q:[0.6377, 0.3382], qb:[0.3865, 0.9372], phi:[0.4251]] | t^2.029 + 2*t^2.174 + t^2.406 + t^2.551 + 2*t^3.072 + t^3.304 + t^3.449 + t^4.058 + 2*t^4.203 + 3*t^4.348 + t^4.435 + 3*t^4.58 + 3*t^4.725 + t^4.812 + t^4.957 + 3*t^5.101 + 4*t^5.246 + t^5.333 + 4*t^5.478 + 3*t^5.623 + t^5.71 + t^5.855 - 2*t^6. - t^4.275/y - t^4.275*y | detail | {a: 2941/4761, c: 7607/9522, M1: 212/207, M2: 140/207, M3: 202/207, M4: 50/69, M5: 88/69, M6: 212/207, M7: 166/207, M8: 50/69, q1: 44/69, q2: 70/207, qb1: 80/207, qb2: 194/207, phi1: 88/207} |
| 5059 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}^{2}$ | 0.5703 | 0.7226 | 0.7892 | [M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.9375, 1.0], q:[0.6563, 0.4063], qb:[0.2813, 0.9063], phi:[0.4375]] | t^2.063 + t^2.438 + t^2.625 + 2*t^2.813 + t^3. + t^3.375 + t^3.75 + t^3.938 + t^4.125 + t^4.5 + 2*t^4.688 + 3*t^4.875 + 2*t^5.063 + 3*t^5.25 + 3*t^5.438 + 3*t^5.625 + 3*t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 74745/131072, c: 94713/131072, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 15/16, M7: 1, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16} |
| 5065 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.611 | 0.7849 | 0.7783 | [M:[1.0286, 0.6694, 0.9714, 0.7265, 1.2735, 1.0286, 0.7918, 0.849], q:[0.6367, 0.3347], qb:[0.3919, 0.9388], phi:[0.4245]] | t^2.008 + t^2.18 + t^2.375 + 2*t^2.547 + 2*t^3.086 + t^3.282 + t^3.82 + t^4.016 + t^4.188 + t^4.359 + t^4.383 + 3*t^4.555 + 3*t^4.727 + t^4.751 + 2*t^4.922 + 5*t^5.094 + 2*t^5.265 + t^5.29 + 2*t^5.461 + 3*t^5.633 + t^5.657 + 2*t^5.828 - 2*t^6. - t^4.273/y - t^4.273*y | detail | |
| 5063 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6081 | 0.7779 | 0.7817 | [M:[1.0076, 0.7024, 0.9924, 0.7175, 1.2825, 1.0076, 0.8398, 0.8702], q:[0.6412, 0.3512], qb:[0.3664, 0.9313], phi:[0.4275]] | t^2.107 + t^2.153 + t^2.519 + t^2.565 + t^2.61 + 2*t^3.023 + t^3.435 + t^3.847 + t^4.214 + t^4.26 + t^4.305 + t^4.626 + 2*t^4.672 + 3*t^4.718 + t^4.763 + t^5.039 + t^5.084 + 4*t^5.13 + 3*t^5.175 + t^5.221 + 2*t^5.542 + 2*t^5.588 + 2*t^5.633 + t^5.954 - t^6. - t^4.282/y - t^4.282*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2103 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5827 | 0.7345 | 0.7934 | [M:[1.0027, 0.71, 0.9973, 0.7155, 1.2845, 1.0027], q:[0.6423, 0.355], qb:[0.3605, 0.9296], phi:[0.4282]] | t^2.13 + t^2.146 + t^2.569 + 2*t^3.008 + t^3.414 + t^3.431 + t^3.447 + t^3.854 + t^4.26 + t^4.276 + t^4.293 + t^4.699 + 2*t^4.715 + 3*t^5.138 + 2*t^5.155 + t^5.544 + t^5.561 + 3*t^5.577 + t^5.594 + t^5.984 - t^6. - t^4.285/y - t^4.285*y | detail |