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 |
|---|---|---|---|---|---|---|---|---|---|
| 47898 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ | 1.3298 | 1.5548 | 0.8553 | [X:[1.4], q:[0.5, 0.3], qb:[0.5, 0.3], phi:[0.4]] | [X:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 5319/4000, c: 6219/4000, X1: 7/5, q1: 1/2, q2: 3/10, qb1: 1/2, qb2: 3/10, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${2}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ 2}\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ 3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$ | 8 | 3*t^2.4 + 2*t^3. + 3*t^3.6 + 3*t^4.2 + 2*t^4.5 + 8*t^4.8 + 2*t^5.1 + 5*t^5.4 + 2*t^5.7 + 8*t^6. + 4*t^6.3 + 10*t^6.6 + 6*t^6.9 + 22*t^7.2 + 8*t^7.5 + 16*t^7.8 + 8*t^8.1 + 20*t^8.4 + 12*t^8.7 - t^4.2/y - t^5.4/y - (3*t^6.6)/y - t^7.2/y + (3*t^8.4)/y - t^4.2*y - t^5.4*y - 3*t^6.6*y - t^7.2*y + 3*t^8.4*y | t^2.4 + (g1*t^2.4)/g2 + (g2*t^2.4)/g1 + 2*t^3. + t^3.6 + (g1*t^3.6)/g2 + (g2*t^3.6)/g1 + 3*t^4.2 + t^4.5/(g1*g2^2) + g1*g2^2*t^4.5 + 2*t^4.8 + (g1^2*t^4.8)/g2^2 + (2*g1*t^4.8)/g2 + (2*g2*t^4.8)/g1 + (g2^2*t^4.8)/g1^2 + t^5.1/(g1^2*g2) + g1^2*g2*t^5.1 + 3*t^5.4 + (g1*t^5.4)/g2 + (g2*t^5.4)/g1 + t^5.7/(g1*g2^2) + g1*g2^2*t^5.7 + 2*t^6. + (g1^2*t^6.)/g2^2 + (2*g1*t^6.)/g2 + (2*g2*t^6.)/g1 + (g2^2*t^6.)/g1^2 + t^6.3/g2^3 + t^6.3/(g1^2*g2) + g1^2*g2*t^6.3 + g2^3*t^6.3 + 4*t^6.6 + (3*g1*t^6.6)/g2 + (3*g2*t^6.6)/g1 + t^6.9/g2^3 + (2*t^6.9)/(g1*g2^2) + 2*g1*g2^2*t^6.9 + g2^3*t^6.9 + 8*t^7.2 + (g1^3*t^7.2)/g2^3 + (3*g1^2*t^7.2)/g2^2 + (3*g1*t^7.2)/g2 + (3*g2*t^7.2)/g1 + (3*g2^2*t^7.2)/g1^2 + (g2^3*t^7.2)/g1^3 + t^7.5/g1^3 + g1^3*t^7.5 + t^7.5/(g1*g2^2) + (2*t^7.5)/(g1^2*g2) + 2*g1^2*g2*t^7.5 + g1*g2^2*t^7.5 + 4*t^7.8 + (g1^2*t^7.8)/g2^2 + (5*g1*t^7.8)/g2 + (5*g2*t^7.8)/g1 + (g2^2*t^7.8)/g1^2 + t^8.1/g1^3 + g1^3*t^8.1 + t^8.1/g2^3 + t^8.1/(g1*g2^2) + t^8.1/(g1^2*g2) + g1^2*g2*t^8.1 + g1*g2^2*t^8.1 + g2^3*t^8.1 + 10*t^8.4 + (g1^3*t^8.4)/g2^3 + (3*g1^2*t^8.4)/g2^2 + (g1*t^8.4)/g2 + (g2*t^8.4)/g1 + (3*g2^2*t^8.4)/g1^2 + (g2^3*t^8.4)/g1^3 + t^8.7/g1^3 + g1^3*t^8.7 + (g1*t^8.7)/g2^4 + (3*t^8.7)/(g1*g2^2) + t^8.7/(g1^2*g2) + g1^2*g2*t^8.7 + 3*g1*g2^2*t^8.7 + (g2^4*t^8.7)/g1 - t^4.2/y - t^5.4/y - t^6.6/y - (g1*t^6.6)/(g2*y) - (g2*t^6.6)/(g1*y) - t^7.2/y - t^8.4/y + (2*g1*t^8.4)/(g2*y) + (2*g2*t^8.4)/(g1*y) - t^4.2*y - t^5.4*y - t^6.6*y - (g1*t^6.6*y)/g2 - (g2*t^6.6*y)/g1 - t^7.2*y - t^8.4*y + (2*g1*t^8.4*y)/g2 + (2*g2*t^8.4*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57410 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3463 | 1.5838 | 0.85 | [X:[1.4], M:[0.8], q:[0.5, 0.3], qb:[0.5, 0.3], phi:[0.4]] | 4*t^2.4 + 2*t^3. + 2*t^3.6 + 3*t^4.2 + 2*t^4.5 + 12*t^4.8 + 2*t^5.1 + 7*t^5.4 + 2*t^5.7 + 7*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 1077/800, c: 1267/800, X1: 7/5, M1: 4/5, q1: 1/2, q2: 3/10, qb1: 1/2, qb2: 3/10, phi1: 2/5} |
| 57402 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.1657 | 1.3907 | 0.8382 | [X:[1.4], q:[0.6296, 0.4852], qb:[0.3704, 0.1148], phi:[0.4]] | t^2.233 + t^2.4 + t^2.567 + 3*t^3. + t^3.433 + t^3.6 + 2*t^3.767 + 4*t^4.2 + t^4.467 + 3*t^4.633 + 2*t^4.8 + 3*t^4.967 + t^5.133 + 2*t^5.233 + 5*t^5.4 + t^5.567 + t^5.667 + 2*t^5.833 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 18651/16000, c: 22251/16000, X1: 7/5, q1: 17/27, q2: 131/270, qb1: 10/27, qb2: 31/270, phi1: 2/5} |
| 57408 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.2814 | 1.5064 | 0.8506 | [X:[1.4], q:[0.6273, 0.3455], qb:[0.3727, 0.2545], phi:[0.4]] | t^2.155 + t^2.4 + t^2.645 + 2*t^3. + t^3.355 + t^3.6 + 2*t^3.845 + 4*t^4.2 + t^4.309 + 2*t^4.555 + 2*t^4.8 + 3*t^5.045 + 2*t^5.155 + t^5.291 + 4*t^5.4 + t^5.509 + t^5.645 + 2*t^5.755 + t^5.891 + 3*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 225531/176000, c: 265131/176000, X1: 7/5, q1: 69/110, q2: 19/55, qb1: 41/110, qb2: 14/55, phi1: 2/5} |
| 57409 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 1.3232 | 1.5482 | 0.8547 | [X:[1.4], q:[0.5259, 0.337], qb:[0.4741, 0.263], phi:[0.4]] | t^2.367 + t^2.4 + t^2.433 + 2*t^3. + t^3.567 + t^3.6 + t^3.633 + 4*t^4.2 + t^4.733 + 2*t^4.767 + 3*t^4.8 + 3*t^4.833 + t^4.867 + 2*t^5.367 + 4*t^5.4 + t^5.433 + t^5.933 + 3*t^5.967 + 3*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 21171/16000, c: 24771/16000, X1: 7/5, q1: 71/135, q2: 91/270, qb1: 64/135, qb2: 71/270, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47873 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.4741 | 1.6841 | 0.8753 | [q:[0.5, 0.4923], qb:[0.5, 0.4923], phi:[0.3359]] | t^2.015 + t^2.954 + 2*t^2.977 + t^3. + t^3.023 + t^3.962 + 2*t^3.985 + t^4.008 + t^4.031 + 2*t^4.969 + 4*t^4.992 + 2*t^5.015 + t^5.038 + 2*t^5.462 + 2*t^5.485 + t^5.908 + 2*t^5.931 + 4*t^5.954 + 2*t^5.977 + t^6. - t^4.008/y - t^5.015/y - t^4.008*y - t^5.015*y | detail |