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 |
|---|---|---|---|---|---|---|---|---|---|
| 6279 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{9}$ | 0.693 | 0.8711 | 0.7956 | [X:[1.3093], M:[1.1512, 0.6907, 0.921, 0.921, 1.079, 0.763, 0.8488, 0.8488, 0.921], q:[0.5034, 0.3454], qb:[0.5756, 0.7336], phi:[0.4605]] | [X:[[6]], M:[[-10], [-6], [-8], [-8], [8], [-24], [10], [10], [-8]], q:[[13], [-3]], qb:[[-5], [11]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{9}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{9}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{9}$, ${ }M_{8}M_{9}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{9}$, ${ }M_{4}M_{9}$, ${ }M_{9}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}$ | -4 | t^2.289 + 2*t^2.546 + 4*t^2.763 + 2*t^3.928 + t^4.144 + t^4.402 + t^4.578 + 2*t^4.619 + 2*t^4.835 + 4*t^5.052 + 4*t^5.093 + 7*t^5.309 + 8*t^5.526 - 4*t^6. + t^6.433 + t^6.474 + 5*t^6.691 + t^6.867 + 4*t^6.907 + 2*t^6.948 + 2*t^7.124 + 3*t^7.165 + 4*t^7.341 + 6*t^7.381 + 7*t^7.598 + 4*t^7.639 + 8*t^7.815 + 9*t^7.856 + 11*t^8.072 + 9*t^8.289 - t^8.33 - 7*t^8.546 + t^8.722 - 15*t^8.763 + t^8.804 - t^8.98 - t^4.381/y - t^6.67/y - t^6.928/y - (3*t^7.144)/y + (3*t^7.619)/y + (3*t^7.835)/y + (4*t^8.052)/y + (2*t^8.093)/y + (8*t^8.309)/y + (6*t^8.526)/y - t^8.959/y - t^4.381*y - t^6.67*y - t^6.928*y - 3*t^7.144*y + 3*t^7.619*y + 3*t^7.835*y + 4*t^8.052*y + 2*t^8.093*y + 8*t^8.309*y + 6*t^8.526*y - t^8.959*y | t^2.289/g1^24 + 2*g1^10*t^2.546 + (4*t^2.763)/g1^8 + 2*g1^6*t^3.928 + t^4.144/g1^12 + g1^22*t^4.402 + t^4.578/g1^48 + 2*g1^4*t^4.619 + (2*t^4.835)/g1^14 + (4*t^5.052)/g1^32 + 4*g1^20*t^5.093 + 7*g1^2*t^5.309 + (8*t^5.526)/g1^16 - 4*t^6. + t^6.433/g1^36 + g1^16*t^6.474 + (5*t^6.691)/g1^2 + t^6.867/g1^72 + (4*t^6.907)/g1^20 + 2*g1^32*t^6.948 + (2*t^7.124)/g1^38 + 3*g1^14*t^7.165 + (4*t^7.341)/g1^56 + (6*t^7.381)/g1^4 + (7*t^7.598)/g1^22 + 4*g1^30*t^7.639 + (8*t^7.815)/g1^40 + 9*g1^12*t^7.856 + (11*t^8.072)/g1^6 + (9*t^8.289)/g1^24 - g1^28*t^8.33 - 7*g1^10*t^8.546 + t^8.722/g1^60 - (15*t^8.763)/g1^8 + g1^44*t^8.804 - t^8.98/g1^26 - t^4.381/(g1^4*y) - t^6.67/(g1^28*y) - (g1^6*t^6.928)/y - (3*t^7.144)/(g1^12*y) + (3*g1^4*t^7.619)/y + (3*t^7.835)/(g1^14*y) + (4*t^8.052)/(g1^32*y) + (2*g1^20*t^8.093)/y + (8*g1^2*t^8.309)/y + (6*t^8.526)/(g1^16*y) - t^8.959/(g1^52*y) - (t^4.381*y)/g1^4 - (t^6.67*y)/g1^28 - g1^6*t^6.928*y - (3*t^7.144*y)/g1^12 + 3*g1^4*t^7.619*y + (3*t^7.835*y)/g1^14 + (4*t^8.052*y)/g1^32 + 2*g1^20*t^8.093*y + 8*g1^2*t^8.309*y + (6*t^8.526*y)/g1^16 - (t^8.959*y)/g1^52 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 4713 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{5}$ | 0.6861 | 0.8591 | 0.7986 | [X:[1.3036], M:[1.1607, 0.6964, 0.9285, 0.9285, 1.0715, 0.7856, 0.8393, 0.8393], q:[0.4911, 0.3482], qb:[0.5803, 0.7233], phi:[0.4643]] | t^2.357 + 2*t^2.518 + 3*t^2.786 + t^3.214 + 2*t^3.911 + t^4.178 + t^4.34 + 2*t^4.607 + t^4.714 + 2*t^4.875 + 4*t^5.036 + 3*t^5.142 + 5*t^5.304 + 5*t^5.571 + 2*t^5.732 - t^6. - t^4.393/y - t^4.393*y | detail |