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 |
|---|---|---|---|---|---|---|---|---|---|
| 2034 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6502 | 0.8109 | 0.8018 | [X:[1.5709], M:[0.4291, 1.1903, 0.7855, 0.8582, 0.7855, 0.8339], q:[0.7976, 0.7733], qb:[0.4412, 0.3685], phi:[0.4048]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6], [-14]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | 2*t^2.356 + t^2.429 + t^2.502 + t^2.574 + t^3.426 + t^3.571 + t^3.716 + t^3.862 + t^4.64 + 4*t^4.713 + t^4.785 + 4*t^4.858 + 3*t^4.931 + t^5.004 + t^5.076 + t^5.149 + t^5.782 + 2*t^5.855 + 2*t^5.927 - 2*t^6. + 2*t^6.073 + t^6.145 + t^6.218 + 2*t^6.291 + t^6.363 + t^6.436 + t^6.851 + 5*t^7.069 + 2*t^7.142 + 4*t^7.215 + 6*t^7.287 + 3*t^7.36 + 4*t^7.433 + 3*t^7.505 + 2*t^7.578 + t^7.651 + 2*t^7.723 + t^8.066 + t^8.138 + t^8.211 + 3*t^8.284 - 5*t^8.356 + 2*t^8.429 - 2*t^8.502 + 2*t^8.647 + 3*t^8.72 + 2*t^8.793 + 2*t^8.865 + t^8.938 - t^4.215/y - (2*t^6.571)/y - t^6.716/y - t^6.789/y + t^7.64/y + (2*t^7.713)/y + (2*t^7.785)/y + (4*t^7.858)/y + (3*t^7.931)/y + t^8.004/y + t^8.076/y + (2*t^8.782)/y + t^8.855/y - t^4.215*y - 2*t^6.571*y - t^6.716*y - t^6.789*y + t^7.64*y + 2*t^7.713*y + 2*t^7.785*y + 4*t^7.858*y + 3*t^7.931*y + t^8.004*y + t^8.076*y + 2*t^8.782*y + t^8.855*y | 2*g1^6*t^2.356 + t^2.429/g1^4 + t^2.502/g1^14 + t^2.574/g1^24 + g1^24*t^3.426 + g1^4*t^3.571 + t^3.716/g1^16 + t^3.862/g1^36 + g1^22*t^4.64 + 4*g1^12*t^4.713 + g1^2*t^4.785 + (4*t^4.858)/g1^8 + (3*t^4.931)/g1^18 + t^5.004/g1^28 + t^5.076/g1^38 + t^5.149/g1^48 + g1^30*t^5.782 + 2*g1^20*t^5.855 + 2*g1^10*t^5.927 - 2*t^6. + (2*t^6.073)/g1^10 + t^6.145/g1^20 + t^6.218/g1^30 + (2*t^6.291)/g1^40 + t^6.363/g1^50 + t^6.436/g1^60 + g1^48*t^6.851 + 5*g1^18*t^7.069 + 2*g1^8*t^7.142 + (4*t^7.215)/g1^2 + (6*t^7.287)/g1^12 + (3*t^7.36)/g1^22 + (4*t^7.433)/g1^32 + (3*t^7.505)/g1^42 + (2*t^7.578)/g1^52 + t^7.651/g1^62 + (2*t^7.723)/g1^72 + g1^46*t^8.066 + g1^36*t^8.138 + g1^26*t^8.211 + 3*g1^16*t^8.284 - 5*g1^6*t^8.356 + (2*t^8.429)/g1^4 - (2*t^8.502)/g1^14 + (2*t^8.647)/g1^34 + (3*t^8.72)/g1^44 + (2*t^8.793)/g1^54 + (2*t^8.865)/g1^64 + t^8.938/g1^74 - t^4.215/(g1^2*y) - (2*g1^4*t^6.571)/y - t^6.716/(g1^16*y) - t^6.789/(g1^26*y) + (g1^22*t^7.64)/y + (2*g1^12*t^7.713)/y + (2*g1^2*t^7.785)/y + (4*t^7.858)/(g1^8*y) + (3*t^7.931)/(g1^18*y) + t^8.004/(g1^28*y) + t^8.076/(g1^38*y) + (2*g1^30*t^8.782)/y + (g1^20*t^8.855)/y - (t^4.215*y)/g1^2 - 2*g1^4*t^6.571*y - (t^6.716*y)/g1^16 - (t^6.789*y)/g1^26 + g1^22*t^7.64*y + 2*g1^12*t^7.713*y + 2*g1^2*t^7.785*y + (4*t^7.858*y)/g1^8 + (3*t^7.931*y)/g1^18 + (t^8.004*y)/g1^28 + (t^8.076*y)/g1^38 + 2*g1^30*t^8.782*y + g1^20*t^8.855*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 |
|---|---|---|---|---|---|---|---|---|
| 3100 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.6128 | 0.7674 | 0.7985 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.7368, 0.9474], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | 2*t^2.211 + t^2.526 + 2*t^2.842 + t^3.158 + t^3.474 + 2*t^4.105 + 4*t^4.421 + 2*t^4.737 + 5*t^5.053 + 5*t^5.368 + 4*t^5.684 - t^6. - t^4.263/y - t^4.263*y | detail | {a: 67251/109744, c: 42109/54872, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 14/19, M6: 18/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19} |
| 3101 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.6392 | 0.7923 | 0.8068 | [X:[1.5504], M:[0.4496, 1.1835, 0.7752, 0.8991, 0.7752, 0.8578, 1.1009], q:[0.7959, 0.7546], qb:[0.4702, 0.3463], phi:[0.4083]] | 2*t^2.326 + t^2.45 + t^2.573 + 2*t^3.303 + t^3.55 + t^3.798 + t^4.046 + t^4.527 + 4*t^4.651 + t^4.775 + 4*t^4.899 + t^5.023 + 3*t^5.628 + 3*t^5.752 + 3*t^5.876 - 3*t^6. - t^4.225/y - t^4.225*y | detail | |
| 3102 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6689 | 0.8447 | 0.7919 | [X:[1.5643], M:[0.4357, 1.1881, 0.7821, 0.8714, 0.7821, 0.8417, 0.7524], q:[0.797, 0.7673], qb:[0.4506, 0.3613], phi:[0.406]] | t^2.257 + 2*t^2.346 + t^2.436 + t^2.525 + t^2.614 + t^3.386 + t^3.564 + t^3.921 + t^4.514 + 3*t^4.604 + 5*t^4.693 + 2*t^4.782 + 5*t^4.871 + 3*t^4.961 + t^5.05 + t^5.139 + t^5.229 + t^5.643 + t^5.732 + 3*t^5.821 + 2*t^5.911 - 2*t^6. - t^4.218/y - t^4.218*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 |
|---|---|---|---|---|---|---|---|---|---|
| 863 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6363 | 0.7867 | 0.8088 | [X:[1.5607], M:[0.4393, 1.1869, 0.7803, 0.8786, 0.7803], q:[0.7967, 0.764], qb:[0.4557, 0.3574], phi:[0.4066]] | 2*t^2.341 + t^2.439 + t^2.636 + t^3.364 + t^3.462 + t^3.561 + t^3.757 + t^3.954 + t^4.584 + 4*t^4.682 + t^4.78 + 2*t^4.879 + 2*t^4.977 + t^5.272 + t^5.705 + 4*t^5.803 + 2*t^5.902 - 2*t^6. - t^4.22/y - t^4.22*y | detail |