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 |
|---|---|---|---|---|---|---|---|---|---|
| 2401 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6196 | 0.8021 | 0.7724 | [M:[1.0, 0.8407, 0.6991, 0.7611, 1.1593, 1.2389, 0.6815], q:[0.7699, 0.2301], qb:[0.6106, 0.5486], phi:[0.4602]] | [M:[[0], [-8], [10], [-12], [8], [12], [-16]], q:[[1], [-1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{7}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.044 + t^2.097 + t^2.336 + t^2.522 + 2*t^2.761 + t^3. + t^3.478 + t^3.717 + t^4.089 + 2*t^4.142 + t^4.194 + t^4.381 + t^4.433 + t^4.567 + t^4.619 + 2*t^4.672 + 2*t^4.806 + 3*t^4.858 + 2*t^5.044 + 3*t^5.097 + 2*t^5.283 + t^5.336 + 5*t^5.522 + t^5.575 + 2*t^5.761 + t^5.814 - 2*t^6. + t^6.053 + t^6.133 + t^6.186 + 3*t^6.239 + t^6.292 + 3*t^6.478 + t^6.531 + t^6.611 + t^6.664 + 2*t^6.717 + 2*t^6.769 + 2*t^6.85 + 3*t^6.903 + 2*t^6.956 + 2*t^7.008 + 2*t^7.089 + 3*t^7.142 + 4*t^7.194 + 2*t^7.328 + t^7.381 + 5*t^7.433 + 5*t^7.567 + 5*t^7.619 + 2*t^7.672 + 3*t^7.806 + 5*t^7.858 + t^8.044 - t^8.097 + 2*t^8.15 + t^8.178 + t^8.231 + 7*t^8.283 + 3*t^8.389 + t^8.575 + t^8.628 + t^8.656 + t^8.708 - 5*t^8.761 + 4*t^8.814 + 2*t^8.867 + 2*t^8.894 + t^8.947 - t^4.381/y - t^6.425/y - t^6.478/y + t^7.381/y + t^7.433/y + t^7.567/y + (2*t^7.619)/y + (2*t^7.806)/y + (3*t^7.858)/y + t^8.044/y + (3*t^8.097)/y + (3*t^8.283)/y + (2*t^8.336)/y - t^8.469/y + (2*t^8.522)/y + (3*t^8.761)/y + (2*t^8.814)/y - t^4.381*y - t^6.425*y - t^6.478*y + t^7.381*y + t^7.433*y + t^7.567*y + 2*t^7.619*y + 2*t^7.806*y + 3*t^7.858*y + t^8.044*y + 3*t^8.097*y + 3*t^8.283*y + 2*t^8.336*y - t^8.469*y + 2*t^8.522*y + 3*t^8.761*y + 2*t^8.814*y | t^2.044/g1^16 + g1^10*t^2.097 + g1^14*t^2.336 + t^2.522/g1^8 + (2*t^2.761)/g1^4 + t^3. + g1^8*t^3.478 + g1^12*t^3.717 + t^4.089/g1^32 + (2*t^4.142)/g1^6 + g1^20*t^4.194 + t^4.381/g1^2 + g1^24*t^4.433 + t^4.567/g1^24 + g1^2*t^4.619 + 2*g1^28*t^4.672 + (2*t^4.806)/g1^20 + 3*g1^6*t^4.858 + (2*t^5.044)/g1^16 + 3*g1^10*t^5.097 + (2*t^5.283)/g1^12 + g1^14*t^5.336 + (5*t^5.522)/g1^8 + g1^18*t^5.575 + (2*t^5.761)/g1^4 + g1^22*t^5.814 - 2*t^6. + g1^26*t^6.053 + t^6.133/g1^48 + t^6.186/g1^22 + 3*g1^4*t^6.239 + g1^30*t^6.292 + 3*g1^8*t^6.478 + g1^34*t^6.531 + t^6.611/g1^40 + t^6.664/g1^14 + 2*g1^12*t^6.717 + 2*g1^38*t^6.769 + (2*t^6.85)/g1^36 + (3*t^6.903)/g1^10 + 2*g1^16*t^6.956 + 2*g1^42*t^7.008 + (2*t^7.089)/g1^32 + (3*t^7.142)/g1^6 + 4*g1^20*t^7.194 + (2*t^7.328)/g1^28 + t^7.381/g1^2 + 5*g1^24*t^7.433 + (5*t^7.567)/g1^24 + 5*g1^2*t^7.619 + 2*g1^28*t^7.672 + (3*t^7.806)/g1^20 + 5*g1^6*t^7.858 + t^8.044/g1^16 - g1^10*t^8.097 + 2*g1^36*t^8.15 + t^8.178/g1^64 + t^8.231/g1^38 + (7*t^8.283)/g1^12 + 3*g1^40*t^8.389 + g1^18*t^8.575 + g1^44*t^8.628 + t^8.656/g1^56 + t^8.708/g1^30 - (5*t^8.761)/g1^4 + 4*g1^22*t^8.814 + 2*g1^48*t^8.867 + (2*t^8.894)/g1^52 + t^8.947/g1^26 - t^4.381/(g1^2*y) - t^6.425/(g1^18*y) - (g1^8*t^6.478)/y + t^7.381/(g1^2*y) + (g1^24*t^7.433)/y + t^7.567/(g1^24*y) + (2*g1^2*t^7.619)/y + (2*t^7.806)/(g1^20*y) + (3*g1^6*t^7.858)/y + t^8.044/(g1^16*y) + (3*g1^10*t^8.097)/y + (3*t^8.283)/(g1^12*y) + (2*g1^14*t^8.336)/y - t^8.469/(g1^34*y) + (2*t^8.522)/(g1^8*y) + (3*t^8.761)/(g1^4*y) + (2*g1^22*t^8.814)/y - (t^4.381*y)/g1^2 - (t^6.425*y)/g1^18 - g1^8*t^6.478*y + (t^7.381*y)/g1^2 + g1^24*t^7.433*y + (t^7.567*y)/g1^24 + 2*g1^2*t^7.619*y + (2*t^7.806*y)/g1^20 + 3*g1^6*t^7.858*y + (t^8.044*y)/g1^16 + 3*g1^10*t^8.097*y + (3*t^8.283*y)/g1^12 + 2*g1^14*t^8.336*y - (t^8.469*y)/g1^34 + (2*t^8.522*y)/g1^8 + (3*t^8.761*y)/g1^4 + 2*g1^22*t^8.814*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 |
|---|---|---|---|---|---|---|---|---|
| 4445 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}X_{1}$ | 0.5966 | 0.7557 | 0.7895 | [X:[1.3636], M:[1.0, 0.8182, 0.7273, 0.7273, 1.1818, 1.2727, 0.6364], q:[0.7727, 0.2273], qb:[0.5909, 0.5909], phi:[0.4545]] | t^2.182 + 2*t^2.455 + 2*t^2.727 + t^3. + t^3.545 + t^3.818 + 2*t^4.091 + t^4.364 + 2*t^4.636 + 6*t^4.909 + 5*t^5.182 + 5*t^5.455 + 2*t^5.727 - 2*t^6. - t^4.364/y - t^4.364*y | detail | {a: 105/176, c: 133/176, X1: 15/11, M1: 1, M2: 9/11, M3: 8/11, M4: 8/11, M5: 13/11, M6: 14/11, M7: 7/11, q1: 17/22, q2: 5/22, qb1: 13/22, qb2: 13/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1360 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.5988 | 0.7618 | 0.7861 | [M:[1.0, 0.8429, 0.6963, 0.7644, 1.1571, 1.2356], q:[0.7696, 0.2304], qb:[0.6126, 0.5445], phi:[0.4607]] | t^2.089 + t^2.325 + t^2.529 + 2*t^2.764 + t^3. + t^3.471 + t^3.707 + t^3.942 + t^4.147 + t^4.178 + t^4.414 + t^4.618 + 2*t^4.649 + 3*t^4.853 + t^5.058 + 3*t^5.089 + 2*t^5.293 + t^5.325 + 4*t^5.529 + t^5.56 + t^5.764 + t^5.796 - 2*t^6. - t^4.382/y - t^4.382*y | detail |