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 |
|---|---|---|---|---|---|---|---|---|---|
| 57120 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.69 | 0.8775 | 0.7863 | [M:[1.0553, 0.7237, 0.8342, 1.1658, 1.0553, 0.8342, 0.6934], q:[0.5125, 0.4323], qb:[0.7638, 0.402], phi:[0.4724]] | [M:[[4], [-20], [-12], [12], [4], [-12], [14]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | -2 | t^2.08 + t^2.171 + 2*t^2.503 + t^2.743 + 2*t^3.166 + t^3.588 + t^3.829 + t^4.011 + 2*t^4.16 + 2*t^4.251 + t^4.342 + t^4.492 + 2*t^4.583 + 2*t^4.674 + t^4.823 + t^4.914 + 3*t^5.005 + 4*t^5.246 + 2*t^5.337 + t^5.487 + 4*t^5.668 + 2*t^5.909 - 2*t^6. + 2*t^6.091 + t^6.182 + t^6.241 + 6*t^6.332 + t^6.423 + 3*t^6.513 + 2*t^6.572 + 3*t^6.663 + 5*t^6.754 + 2*t^6.845 + 2*t^6.904 + 3*t^6.995 + t^7.086 + 4*t^7.177 + t^7.235 + 4*t^7.326 + 3*t^7.417 + 4*t^7.508 + t^7.567 + t^7.599 + t^7.658 + 5*t^7.749 + 3*t^7.84 + 4*t^7.989 + t^8.022 - 2*t^8.08 + 3*t^8.171 + t^8.23 + t^8.262 + 2*t^8.321 + t^8.353 + 5*t^8.412 - t^8.503 + 4*t^8.594 + 4*t^8.652 + 3*t^8.685 + 8*t^8.834 + 2*t^8.925 + 2*t^8.984 - t^4.417/y - t^6.497/y - t^6.588/y - t^6.92/y + (2*t^7.251)/y + t^7.583/y + (2*t^7.674)/y + t^7.823/y + (2*t^7.914)/y + t^8.005/y + (5*t^8.246)/y + (3*t^8.337)/y - t^8.577/y + (4*t^8.668)/y + (3*t^8.909)/y - t^4.417*y - t^6.497*y - t^6.588*y - t^6.92*y + 2*t^7.251*y + t^7.583*y + 2*t^7.674*y + t^7.823*y + 2*t^7.914*y + t^8.005*y + 5*t^8.246*y + 3*t^8.337*y - t^8.577*y + 4*t^8.668*y + 3*t^8.909*y | g1^14*t^2.08 + t^2.171/g1^20 + (2*t^2.503)/g1^12 + g1^30*t^2.743 + 2*g1^4*t^3.166 + t^3.588/g1^22 + g1^20*t^3.829 + t^4.011/g1^48 + 2*g1^28*t^4.16 + (2*t^4.251)/g1^6 + t^4.342/g1^40 + g1^36*t^4.492 + 2*g1^2*t^4.583 + (2*t^4.674)/g1^32 + g1^44*t^4.823 + g1^10*t^4.914 + (3*t^5.005)/g1^24 + 4*g1^18*t^5.246 + (2*t^5.337)/g1^16 + g1^60*t^5.487 + (4*t^5.668)/g1^8 + 2*g1^34*t^5.909 - 2*t^6. + (2*t^6.091)/g1^34 + t^6.182/g1^68 + g1^42*t^6.241 + 6*g1^8*t^6.332 + t^6.423/g1^26 + (3*t^6.513)/g1^60 + 2*g1^50*t^6.572 + 3*g1^16*t^6.663 + (5*t^6.754)/g1^18 + (2*t^6.845)/g1^52 + 2*g1^58*t^6.904 + 3*g1^24*t^6.995 + t^7.086/g1^10 + (4*t^7.177)/g1^44 + g1^66*t^7.235 + 4*g1^32*t^7.326 + (3*t^7.417)/g1^2 + (4*t^7.508)/g1^36 + g1^74*t^7.567 + t^7.599/g1^70 + g1^40*t^7.658 + 5*g1^6*t^7.749 + (3*t^7.84)/g1^28 + 4*g1^48*t^7.989 + t^8.022/g1^96 - 2*g1^14*t^8.08 + (3*t^8.171)/g1^20 + g1^90*t^8.23 + t^8.262/g1^54 + 2*g1^56*t^8.321 + t^8.353/g1^88 + 5*g1^22*t^8.412 - t^8.503/g1^12 + (4*t^8.594)/g1^46 + 4*g1^64*t^8.652 + (3*t^8.685)/g1^80 + (8*t^8.834)/g1^4 + (2*t^8.925)/g1^38 + 2*g1^72*t^8.984 - t^4.417/(g1^2*y) - (g1^12*t^6.497)/y - t^6.588/(g1^22*y) - t^6.92/(g1^14*y) + (2*t^7.251)/(g1^6*y) + (g1^2*t^7.583)/y + (2*t^7.674)/(g1^32*y) + (g1^44*t^7.823)/y + (2*g1^10*t^7.914)/y + t^8.005/(g1^24*y) + (5*g1^18*t^8.246)/y + (3*t^8.337)/(g1^16*y) - (g1^26*t^8.577)/y + (4*t^8.668)/(g1^8*y) + (3*g1^34*t^8.909)/y - (t^4.417*y)/g1^2 - g1^12*t^6.497*y - (t^6.588*y)/g1^22 - (t^6.92*y)/g1^14 + (2*t^7.251*y)/g1^6 + g1^2*t^7.583*y + (2*t^7.674*y)/g1^32 + g1^44*t^7.823*y + 2*g1^10*t^7.914*y + (t^8.005*y)/g1^24 + 5*g1^18*t^8.246*y + (3*t^8.337*y)/g1^16 - g1^26*t^8.577*y + (4*t^8.668*y)/g1^8 + 3*g1^34*t^8.909*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 |
|---|---|---|---|---|---|---|---|---|
| 58860 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6838 | 0.8683 | 0.7875 | [M:[1.0603, 0.6987, 0.8192, 1.1808, 1.0603, 0.8192, 0.7109, 1.0481], q:[0.5362, 0.4035], qb:[0.7651, 0.4157], phi:[0.4699]] | t^2.096 + t^2.133 + 2*t^2.458 + t^3.144 + 2*t^3.181 + t^3.506 + t^3.831 + t^3.904 + t^4.192 + 2*t^4.229 + 2*t^4.265 + 2*t^4.554 + 2*t^4.59 + t^4.627 + 3*t^4.915 + t^5.24 + 3*t^5.277 + 2*t^5.313 + 2*t^5.602 + 4*t^5.638 + t^5.927 + 2*t^5.964 - 2*t^6. - t^4.41/y - t^4.41*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55550 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6694 | 0.8378 | 0.799 | [M:[1.0556, 0.7218, 0.8331, 1.1669, 1.0556, 0.8331], q:[0.5143, 0.4301], qb:[0.7639, 0.403], phi:[0.4722]] | t^2.165 + 2*t^2.499 + t^2.752 + 2*t^3.167 + t^3.582 + t^3.835 + t^3.916 + t^3.997 + t^4.168 + t^4.25 + t^4.331 + t^4.502 + 2*t^4.665 + t^4.917 + 3*t^4.998 + 2*t^5.251 + 2*t^5.332 + t^5.504 + 3*t^5.666 + t^5.919 - 2*t^6. - t^4.417/y - t^4.417*y | detail |