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 |
|---|---|---|---|---|---|---|---|---|---|
| 250 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ | 0.6621 | 0.7871 | 0.8412 | [M:[1.0, 1.1646, 0.9238, 1.0], q:[0.7912, 0.5381], qb:[0.4619, 0.5381], phi:[0.4177]] | [M:[[7, 1], [-4, 0], [14, 0], [-7, -1]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$ | ${}M_{1}^{2}$, ${ }M_{4}^{2}$ | -2 | t^2.771 + 2*t^3. + t^3.494 + t^3.759 + 2*t^3.988 + t^4.024 + 2*t^4.253 + 3*t^4.482 + t^5.543 - 2*t^6. - 2*t^6.229 + t^6.531 + 2*t^6.759 + t^6.796 + 3*t^6.988 + 2*t^7.024 + 3*t^7.253 + 4*t^7.482 + t^7.518 + 2*t^7.747 + t^7.784 + 3*t^7.976 + 2*t^8.012 + t^8.049 + 3*t^8.241 + 2*t^8.278 + t^8.314 + 4*t^8.469 + 2*t^8.506 + 2*t^8.735 - 3*t^8.771 + 5*t^8.963 - t^4.253/y - t^7.024/y + t^7.482/y + (2*t^8.771)/y - t^4.253*y - t^7.024*y + t^7.482*y + 2*t^8.771*y | g1^14*t^2.771 + t^3./(g1^7*g2) + g1^7*g2*t^3. + t^3.494/g1^4 + g1^6*t^3.759 + t^3.988/(g1^15*g2) + (g2*t^3.988)/g1 + g1^16*t^4.024 + t^4.253/(g1^5*g2) + g1^9*g2*t^4.253 + t^4.482/g1^12 + t^4.482/(g1^26*g2^2) + g1^2*g2^2*t^4.482 + g1^28*t^5.543 - 2*t^6. - t^6.229/(g1^21*g2) - (g2*t^6.229)/g1^7 + g1^20*t^6.531 + t^6.759/(g1*g2) + g1^13*g2*t^6.759 + g1^30*t^6.796 + t^6.988/g1^8 + t^6.988/(g1^22*g2^2) + g1^6*g2^2*t^6.988 + (g1^9*t^7.024)/g2 + g1^23*g2*t^7.024 + g1^2*t^7.253 + t^7.253/(g1^12*g2^2) + g1^16*g2^2*t^7.253 + t^7.482/(g1^33*g2^3) + t^7.482/(g1^19*g2) + (g2*t^7.482)/g1^5 + g1^9*g2^3*t^7.482 + g1^12*t^7.518 + t^7.747/(g1^9*g2) + g1^5*g2*t^7.747 + g1^22*t^7.784 + t^7.976/g1^16 + t^7.976/(g1^30*g2^2) + (g2^2*t^7.976)/g1^2 + (g1*t^8.012)/g2 + g1^15*g2*t^8.012 + g1^32*t^8.049 + t^8.241/g1^6 + t^8.241/(g1^20*g2^2) + g1^8*g2^2*t^8.241 + (g1^11*t^8.278)/g2 + g1^25*g2*t^8.278 + g1^42*t^8.314 + t^8.469/(g1^41*g2^3) + t^8.469/(g1^27*g2) + (g2*t^8.469)/g1^13 + g1*g2^3*t^8.469 + t^8.506/(g1^10*g2^2) + g1^18*g2^2*t^8.506 + t^8.735/(g1^31*g2^3) + g1^11*g2^3*t^8.735 - 3*g1^14*t^8.771 + t^8.963/g1^24 + t^8.963/(g1^52*g2^4) + t^8.963/(g1^38*g2^2) + (g2^2*t^8.963)/g1^10 + g1^4*g2^4*t^8.963 - (g1^2*t^4.253)/y - (g1^16*t^7.024)/y + t^7.482/(g1^12*y) + (g1^7*t^8.771)/(g2*y) + (g1^21*g2*t^8.771)/y - g1^2*t^4.253*y - g1^16*t^7.024*y + (t^7.482*y)/g1^12 + (g1^7*t^8.771*y)/g2 + g1^21*g2*t^8.771*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 |
|---|---|---|---|---|---|---|---|---|
| 401 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}^{2}$ | 0.6582 | 0.7832 | 0.8404 | [M:[1.0, 1.1429, 1.0, 1.0], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | 3*t^3. + t^3.429 + 3*t^3.857 + 6*t^4.286 - 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 129/196, c: 307/392, M1: 1, M2: 8/7, M3: 1, M4: 1, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
| 400 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6814 | 0.8225 | 0.8284 | [M:[1.0, 1.1613, 0.9353, 1.0, 0.742], q:[0.7903, 0.5323], qb:[0.4677, 0.5323], phi:[0.4193]] | t^2.226 + t^2.806 + 2*t^3. + t^3.484 + 2*t^3.968 + t^4.064 + 2*t^4.258 + 4*t^4.452 + t^5.032 + 2*t^5.226 + t^5.612 + t^5.71 - 2*t^6. - t^4.258/y - t^4.258*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 |
|---|---|---|---|---|---|---|---|---|---|
| 159 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6845 | 0.8095 | 0.8456 | [M:[0.8373, 1.2823, 0.8373, 0.8373], q:[0.8206, 0.5813], qb:[0.5813, 0.5813], phi:[0.3588]] | 3*t^2.512 + t^3.847 + 3*t^4.206 + 6*t^4.565 + 6*t^5.024 - 9*t^6. - t^4.077/y - t^4.077*y | detail |