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 |
|---|---|---|---|---|---|---|---|---|---|
| 4388 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}M_{8}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5928 | 0.7556 | 0.7846 | [M:[0.6694, 1.151, 1.0285, 0.7265, 0.9715, 1.2735, 0.9715, 0.7265], q:[0.9388, 0.3918], qb:[0.3347, 0.6367], phi:[0.4245]] | [M:[[22], [-4], [-14], [-6], [14], [6], [14], [-6]], q:[[-5], [-17]], qb:[[11], [3]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$ | ${}$ | -3 | t^2.008 + 2*t^2.18 + 2*t^2.914 + t^3.282 + 2*t^3.453 + t^3.624 + t^4.017 + 2*t^4.188 + 3*t^4.359 + t^4.727 + 2*t^4.923 + 4*t^5.094 + t^5.29 + 3*t^5.461 + 4*t^5.633 + 2*t^5.804 + 2*t^5.829 - 3*t^6. + t^6.025 - t^6.171 + 4*t^6.196 + 5*t^6.367 + 4*t^6.539 + t^6.564 + t^6.735 + 2*t^6.906 + 2*t^6.931 + t^7.077 + 3*t^7.102 + t^7.249 + 3*t^7.273 + t^7.298 - 2*t^7.445 + 3*t^7.47 + 5*t^7.641 + 4*t^7.812 + 2*t^7.837 + 3*t^7.983 + t^8.008 + t^8.033 - 7*t^8.18 + 4*t^8.204 - 2*t^8.351 + 7*t^8.376 + 6*t^8.547 + t^8.572 + 4*t^8.718 + 4*t^8.743 - 5*t^8.914 + 2*t^8.939 - t^4.273/y - t^6.282/y - t^6.453/y + t^7.188/y + (2*t^7.359)/y + (2*t^7.923)/y + (5*t^8.094)/y + t^8.265/y + (3*t^8.461)/y + (4*t^8.633)/y + (2*t^8.804)/y + t^8.829/y - t^4.273*y - t^6.282*y - t^6.453*y + t^7.188*y + 2*t^7.359*y + 2*t^7.923*y + 5*t^8.094*y + t^8.265*y + 3*t^8.461*y + 4*t^8.633*y + 2*t^8.804*y + t^8.829*y | g1^22*t^2.008 + (2*t^2.18)/g1^6 + 2*g1^14*t^2.914 + g1^24*t^3.282 + (2*t^3.453)/g1^4 + t^3.624/g1^32 + g1^44*t^4.017 + 2*g1^16*t^4.188 + (3*t^4.359)/g1^12 + t^4.727/g1^2 + 2*g1^36*t^4.923 + 4*g1^8*t^5.094 + g1^46*t^5.29 + 3*g1^18*t^5.461 + (4*t^5.633)/g1^10 + (2*t^5.804)/g1^38 + 2*g1^28*t^5.829 - 3*t^6. + g1^66*t^6.025 - t^6.171/g1^28 + 4*g1^38*t^6.196 + 5*g1^10*t^6.367 + (4*t^6.539)/g1^18 + g1^48*t^6.564 + g1^20*t^6.735 + (2*t^6.906)/g1^8 + 2*g1^58*t^6.931 + t^7.077/g1^36 + 3*g1^30*t^7.102 + t^7.249/g1^64 + 3*g1^2*t^7.273 + g1^68*t^7.298 - (2*t^7.445)/g1^26 + 3*g1^40*t^7.47 + 5*g1^12*t^7.641 + (4*t^7.812)/g1^16 + 2*g1^50*t^7.837 + (3*t^7.983)/g1^44 + g1^22*t^8.008 + g1^88*t^8.033 - (7*t^8.18)/g1^6 + 4*g1^60*t^8.204 - (2*t^8.351)/g1^34 + 7*g1^32*t^8.376 + 6*g1^4*t^8.547 + g1^70*t^8.572 + (4*t^8.718)/g1^24 + 4*g1^42*t^8.743 - 5*g1^14*t^8.914 + 2*g1^80*t^8.939 - (g1^2*t^4.273)/y - (g1^24*t^6.282)/y - t^6.453/(g1^4*y) + (g1^16*t^7.188)/y + (2*t^7.359)/(g1^12*y) + (2*g1^36*t^7.923)/y + (5*g1^8*t^8.094)/y + t^8.265/(g1^20*y) + (3*g1^18*t^8.461)/y + (4*t^8.633)/(g1^10*y) + (2*t^8.804)/(g1^38*y) + (g1^28*t^8.829)/y - g1^2*t^4.273*y - g1^24*t^6.282*y - (t^6.453*y)/g1^4 + g1^16*t^7.188*y + (2*t^7.359*y)/g1^12 + 2*g1^36*t^7.923*y + 5*g1^8*t^8.094*y + (t^8.265*y)/g1^20 + 3*g1^18*t^8.461*y + (4*t^8.633*y)/g1^10 + (2*t^8.804*y)/g1^38 + g1^28*t^8.829*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 |
|---|---|---|---|---|---|---|---|---|
| 5869 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}M_{8}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5774 | 0.735 | 0.7856 | [M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 1.0435, 0.6957], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | 2*t^2.087 + t^2.348 + 3*t^3.13 + 2*t^3.391 + t^3.652 + 3*t^4.174 + 2*t^4.435 + 2*t^4.696 + 6*t^5.217 + 6*t^5.478 + 2*t^5.739 - 2*t^6. - t^4.304/y - t^4.304*y | detail | {a: 56199/97336, c: 17885/24334, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 24/23, M8: 16/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
| 5879 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}M_{8}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6031 | 0.7725 | 0.7807 | [M:[0.7048, 1.1446, 1.006, 0.7169, 0.994, 1.2831, 0.994, 0.7169, 0.8675], q:[0.9307, 0.3644], qb:[0.3524, 0.6416], phi:[0.4277]] | t^2.115 + 2*t^2.151 + t^2.602 + 2*t^2.982 + 2*t^3.434 + t^3.47 + t^4.229 + 2*t^4.265 + 3*t^4.301 + 2*t^4.717 + 2*t^4.753 + 2*t^5.096 + 4*t^5.133 + t^5.205 + t^5.548 + 6*t^5.584 + 2*t^5.62 + 2*t^5.964 - 3*t^6. - t^4.283/y - t^4.283*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2368 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}M_{8}$ | 0.7059 | 0.8668 | 0.8143 | [M:[0.8637, 1.0409, 1.0545, 0.9727, 0.9455, 1.0273, 0.9455, 0.9727], q:[0.5955, 0.5408], qb:[0.4319, 0.5137], phi:[0.4796]] | t^2.591 + 2*t^2.837 + 2*t^2.918 + t^3.123 + t^3.327 + t^4.03 + t^4.275 + t^4.357 + 2*t^4.521 + t^4.602 + t^4.683 + t^4.766 + t^4.847 + t^5.011 + t^5.182 + 2*t^5.428 + t^5.509 + 2*t^5.673 + t^5.714 + 2*t^5.755 + 2*t^5.836 + 2*t^5.959 - 4*t^6. - t^4.439/y - t^4.439*y | detail |