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 |
|---|---|---|---|---|---|---|---|---|---|
| 2809 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.5788 | 0.7216 | 0.802 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.8571], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 1815/3136, c: 2263/3136, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 6/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$ | ${}$ | -1 | t^2.143 + 2*t^2.571 + t^3. + 2*t^3.214 + 2*t^3.643 + t^3.857 + t^4.286 + 3*t^4.714 + 4*t^5.143 + 2*t^5.357 + t^5.571 + 4*t^5.786 - t^6. + 4*t^6.214 + 4*t^6.429 + 4*t^6.857 - 2*t^7.071 + 6*t^7.286 + 2*t^7.5 + 5*t^7.714 + 4*t^7.929 - 2*t^8.143 + 6*t^8.357 + 2*t^8.786 - t^4.286/y - (2*t^6.857)/y + (4*t^7.714)/y + (2*t^8.143)/y + (2*t^8.357)/y + (2*t^8.571)/y + (6*t^8.786)/y - t^4.286*y - 2*t^6.857*y + 4*t^7.714*y + 2*t^8.143*y + 2*t^8.357*y + 2*t^8.571*y + 6*t^8.786*y | t^2.143 + 2*t^2.571 + t^3. + t^3.214/g1^2 + g1^2*t^3.214 + t^3.643/g1^2 + g1^2*t^3.643 + t^3.857 + t^4.286 + 3*t^4.714 + 4*t^5.143 + t^5.357/g1^2 + g1^2*t^5.357 + t^5.571 + (2*t^5.786)/g1^2 + 2*g1^2*t^5.786 - t^6. + (2*t^6.214)/g1^2 + 2*g1^2*t^6.214 + 2*t^6.429 + t^6.429/g1^4 + g1^4*t^6.429 + 2*t^6.857 + t^6.857/g1^4 + g1^4*t^6.857 - t^7.071/g1^2 - g1^2*t^7.071 + 4*t^7.286 + t^7.286/g1^4 + g1^4*t^7.286 + t^7.5/g1^2 + g1^2*t^7.5 + 5*t^7.714 + (2*t^7.929)/g1^2 + 2*g1^2*t^7.929 - 2*t^8.143 + (3*t^8.357)/g1^2 + 3*g1^2*t^8.357 - 2*t^8.571 + t^8.571/g1^4 + g1^4*t^8.571 + t^8.786/g1^2 + g1^2*t^8.786 - t^4.286/y - (2*t^6.857)/y + (4*t^7.714)/y + (2*t^8.143)/y + t^8.357/(g1^2*y) + (g1^2*t^8.357)/y + (2*t^8.571)/y + (3*t^8.786)/(g1^2*y) + (3*g1^2*t^8.786)/y - t^4.286*y - 2*t^6.857*y + 4*t^7.714*y + 2*t^8.143*y + (t^8.357*y)/g1^2 + g1^2*t^8.357*y + 2*t^8.571*y + (3*t^8.786*y)/g1^2 + 3*g1^2*t^8.786*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 |
|---|---|---|---|---|---|---|---|---|
| 3333 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.5969 | 0.755 | 0.7906 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.8571, 0.7557], q:[0.3364, 0.6636], qb:[0.3779, 0.9079], phi:[0.4286]] | t^2.143 + t^2.267 + 2*t^2.571 + t^3. + t^3.124 + t^3.304 + t^3.553 + t^3.857 + t^4.286 + t^4.41 + t^4.534 + 3*t^4.714 + 2*t^4.839 + 4*t^5.143 + 2*t^5.267 + t^5.391 + t^5.447 + 2*t^5.571 + 2*t^5.696 + t^5.82 + t^5.876 - t^6. - t^4.286/y - t^4.286*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1797 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.5662 | 0.7001 | 0.8087 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | t^2.143 + t^2.571 + t^3. + 2*t^3.214 + t^3.429 + 2*t^3.643 + t^3.857 + t^4.286 + 2*t^4.714 + 2*t^5.143 + 2*t^5.357 + t^5.571 + 2*t^5.786 - t^4.286/y - t^4.286*y | detail | {a: 12429/21952, c: 15369/21952, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |