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 |
|---|---|---|---|---|---|---|---|---|---|
| 55466 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6532 | 0.8187 | 0.7978 | [X:[1.5674], M:[0.4326, 1.1891, 0.7837, 0.8652, 0.838, 0.7022], q:[0.7973, 0.7701], qb:[0.4462, 0.3647], phi:[0.4054]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-14], [36]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.107 + t^2.351 + t^2.433 + t^2.514 + t^2.596 + t^3.404 + t^3.567 + t^3.649 + t^3.73 + t^4.213 + t^4.458 + t^4.539 + 2*t^4.621 + 3*t^4.702 + 3*t^4.865 + 2*t^4.947 + t^5.028 + t^5.11 + t^5.191 + t^5.511 + t^5.674 + t^5.756 + 3*t^5.837 + t^5.919 - t^6. + 2*t^6.081 + 2*t^6.163 + t^6.32 + t^6.326 + t^6.565 + t^6.646 + 2*t^6.728 + 4*t^6.809 + 2*t^6.972 + 4*t^7.053 + 2*t^7.135 + 2*t^7.216 + 4*t^7.298 + 3*t^7.379 + 2*t^7.461 + 2*t^7.542 + t^7.618 + t^7.624 + t^7.705 + t^7.781 + t^7.787 + t^7.862 + 3*t^7.944 + 2*t^8.025 - t^8.107 + t^8.188 + 4*t^8.27 - t^8.351 + t^8.427 + t^8.433 - t^8.514 - t^8.596 + t^8.671 + t^8.677 + t^8.753 + 2*t^8.834 + 4*t^8.916 + t^8.921 - t^4.216/y - t^6.323/y - t^6.567/y - t^6.73/y - t^6.812/y + t^7.458/y + t^7.539/y + (2*t^7.621)/y + (2*t^7.702)/y + t^7.784/y + (2*t^7.865)/y + (2*t^7.947)/y + t^8.028/y + (2*t^8.11)/y - t^8.43/y + t^8.511/y + (2*t^8.756)/y + t^8.837/y - t^4.216*y - t^6.323*y - t^6.567*y - t^6.73*y - t^6.812*y + t^7.458*y + t^7.539*y + 2*t^7.621*y + 2*t^7.702*y + t^7.784*y + 2*t^7.865*y + 2*t^7.947*y + t^8.028*y + 2*t^8.11*y - t^8.43*y + t^8.511*y + 2*t^8.756*y + t^8.837*y | g1^36*t^2.107 + g1^6*t^2.351 + t^2.433/g1^4 + t^2.514/g1^14 + t^2.596/g1^24 + g1^24*t^3.404 + g1^4*t^3.567 + t^3.649/g1^6 + t^3.73/g1^16 + g1^72*t^4.213 + g1^42*t^4.458 + g1^32*t^4.539 + 2*g1^22*t^4.621 + 3*g1^12*t^4.702 + (3*t^4.865)/g1^8 + (2*t^4.947)/g1^18 + t^5.028/g1^28 + t^5.11/g1^38 + t^5.191/g1^48 + g1^60*t^5.511 + g1^40*t^5.674 + g1^30*t^5.756 + 3*g1^20*t^5.837 + g1^10*t^5.919 - t^6. + (2*t^6.081)/g1^10 + (2*t^6.163)/g1^20 + g1^108*t^6.32 + t^6.326/g1^40 + g1^78*t^6.565 + g1^68*t^6.646 + 2*g1^58*t^6.728 + 4*g1^48*t^6.809 + 2*g1^28*t^6.972 + 4*g1^18*t^7.053 + 2*g1^8*t^7.135 + (2*t^7.216)/g1^2 + (4*t^7.298)/g1^12 + (3*t^7.379)/g1^22 + (2*t^7.461)/g1^32 + (2*t^7.542)/g1^42 + g1^96*t^7.618 + t^7.624/g1^52 + t^7.705/g1^62 + g1^76*t^7.781 + t^7.787/g1^72 + g1^66*t^7.862 + 3*g1^56*t^7.944 + 2*g1^46*t^8.025 - g1^36*t^8.107 + g1^26*t^8.188 + 4*g1^16*t^8.27 - g1^6*t^8.351 + g1^144*t^8.427 + t^8.433/g1^4 - t^8.514/g1^14 - t^8.596/g1^24 + g1^114*t^8.671 + t^8.677/g1^34 + g1^104*t^8.753 + 2*g1^94*t^8.834 + 4*g1^84*t^8.916 + t^8.921/g1^64 - t^4.216/(g1^2*y) - (g1^34*t^6.323)/y - (g1^4*t^6.567)/y - t^6.73/(g1^16*y) - t^6.812/(g1^26*y) + (g1^42*t^7.458)/y + (g1^32*t^7.539)/y + (2*g1^22*t^7.621)/y + (2*g1^12*t^7.702)/y + (g1^2*t^7.784)/y + (2*t^7.865)/(g1^8*y) + (2*t^7.947)/(g1^18*y) + t^8.028/(g1^28*y) + (2*t^8.11)/(g1^38*y) - (g1^70*t^8.43)/y + (g1^60*t^8.511)/y + (2*g1^30*t^8.756)/y + (g1^20*t^8.837)/y - (t^4.216*y)/g1^2 - g1^34*t^6.323*y - g1^4*t^6.567*y - (t^6.73*y)/g1^16 - (t^6.812*y)/g1^26 + g1^42*t^7.458*y + g1^32*t^7.539*y + 2*g1^22*t^7.621*y + 2*g1^12*t^7.702*y + g1^2*t^7.784*y + (2*t^7.865*y)/g1^8 + (2*t^7.947*y)/g1^18 + (t^8.028*y)/g1^28 + (2*t^8.11*y)/g1^38 - g1^70*t^8.43*y + g1^60*t^8.511*y + 2*g1^30*t^8.756*y + g1^20*t^8.837*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 |
|---|---|---|---|---|---|---|---|---|
| 57025 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.669 | 0.8463 | 0.7905 | [X:[1.5691], M:[0.4309, 1.1897, 0.7845, 0.8619, 0.8361, 0.7072, 0.8103], q:[0.7974, 0.7716], qb:[0.4438, 0.3665], phi:[0.4052]] | t^2.122 + t^2.354 + 2*t^2.431 + t^2.508 + t^2.586 + t^3.414 + t^3.646 + t^3.724 + t^4.243 + t^4.475 + 2*t^4.552 + 2*t^4.63 + 3*t^4.707 + t^4.785 + 5*t^4.862 + 3*t^4.939 + 2*t^5.017 + t^5.094 + t^5.171 + t^5.536 + t^5.768 + 4*t^5.845 - 2*t^6. - t^4.215/y - t^4.215*y | detail | {a: 131507/196566, c: 332699/393132, X1: 284/181, M1: 78/181, M2: 646/543, M3: 142/181, M4: 156/181, M5: 454/543, M6: 128/181, M7: 440/543, q1: 433/543, q2: 419/543, qb1: 241/543, qb2: 199/543, phi1: 220/543} |
| 57019 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{2}$ | 0.5734 | 0.7088 | 0.8089 | [X:[1.6667, 1.3333], M:[0.3333, 1.2222, 0.8333, 0.6667, 0.7222, 1.0], q:[0.8056, 0.8611], qb:[0.3056, 0.4722], phi:[0.3889]] | t^2.167 + t^2.333 + t^2.5 + t^3. + t^3.333 + t^3.5 + t^3.667 + 2*t^4. + t^4.5 + 3*t^4.667 + 2*t^5. + 2*t^5.167 + t^5.333 + t^5.667 + 2*t^5.833 - t^6. - t^4.167/y - t^4.167*y | detail | {a: 1321/2304, c: 1633/2304, X1: 5/3, X2: 4/3, M1: 1/3, M2: 11/9, M3: 5/6, M4: 2/3, M5: 13/18, M6: 1, q1: 29/36, q2: 31/36, qb1: 11/36, qb2: 17/36, phi1: 7/18} |
| 57024 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ | 0.666 | 0.8404 | 0.7925 | [X:[1.5789], M:[0.4211, 1.193, 0.7894, 0.8423, 0.8247, 0.7366, 0.8423], q:[0.7982, 0.7806], qb:[0.4299, 0.3771], phi:[0.4035]] | t^2.21 + t^2.368 + t^2.421 + t^2.474 + 2*t^2.527 + t^3.579 + t^3.632 + t^3.685 + t^4.42 + t^4.578 + t^4.631 + 2*t^4.684 + 4*t^4.737 + 3*t^4.842 + 3*t^4.895 + 2*t^4.948 + 2*t^5.001 + 3*t^5.054 + t^5.789 + 2*t^5.894 - 2*t^6. - t^4.211/y - t^4.211*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47188 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6329 | 0.7805 | 0.8109 | [X:[1.5742], M:[0.4258, 1.1914, 0.7871, 0.8516, 0.8301], q:[0.7978, 0.7763], qb:[0.4366, 0.372], phi:[0.4043]] | t^2.361 + t^2.426 + t^2.49 + t^2.555 + t^3.445 + t^3.574 + t^3.639 + t^3.703 + t^3.832 + t^4.658 + 2*t^4.723 + 3*t^4.852 + 2*t^4.916 + t^4.981 + t^5.045 + t^5.11 + 2*t^5.871 + t^5.935 - t^6. - t^4.213/y - t^4.213*y | detail |