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 |
|---|---|---|---|---|---|---|---|---|---|
| 681 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6782 | 0.8333 | 0.8139 | [M:[1.0, 1.1204, 0.9582, 0.8796, 0.7592], q:[0.7801, 0.4189], qb:[0.5811, 0.4607], phi:[0.4398]] | [M:[[0], [4], [-18], [-4], [-8]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}q_{1}q_{2}$ | ${}$ | -2 | t^2.278 + 2*t^2.639 + t^2.875 + t^3. + t^3.597 + t^3.833 + t^3.958 + 2*t^4.084 + t^4.319 + t^4.445 + t^4.555 + t^4.806 + 2*t^4.916 + t^5.152 + 4*t^5.278 + t^5.513 + t^5.639 + t^5.749 + t^5.875 - 2*t^6. + t^6.11 - t^6.125 + 2*t^6.236 + 3*t^6.472 - t^6.487 + 3*t^6.597 + t^6.707 + 3*t^6.722 + 2*t^6.833 + 2*t^6.958 + 3*t^7.084 + 2*t^7.194 - t^7.319 + 2*t^7.43 + 4*t^7.555 + t^7.666 + 2*t^7.791 - t^7.806 + 7*t^7.916 + t^8.027 + t^8.042 + 3*t^8.152 + t^8.167 - t^8.278 + 2*t^8.388 + t^8.513 + t^8.528 + t^8.624 - 4*t^8.639 + 3*t^8.749 - 3*t^8.764 + 2*t^8.875 + 2*t^8.89 + t^8.985 - t^4.319/y - t^6.597/y - t^6.958/y - t^7.194/y + t^7.445/y + t^7.681/y + (2*t^7.916)/y + t^8.042/y + t^8.152/y + (2*t^8.278)/y + (2*t^8.513)/y + (2*t^8.639)/y + t^8.875/y - t^4.319*y - t^6.597*y - t^6.958*y - t^7.194*y + t^7.445*y + t^7.681*y + 2*t^7.916*y + t^8.042*y + t^8.152*y + 2*t^8.278*y + 2*t^8.513*y + 2*t^8.639*y + t^8.875*y | t^2.278/g1^8 + (2*t^2.639)/g1^4 + t^2.875/g1^18 + t^3. + t^3.597/g1^10 + t^3.833/g1^24 + t^3.958/g1^6 + 2*g1^12*t^4.084 + t^4.319/g1^2 + g1^16*t^4.445 + t^4.555/g1^16 + g1^20*t^4.806 + (2*t^4.916)/g1^12 + t^5.152/g1^26 + (4*t^5.278)/g1^8 + t^5.513/g1^22 + t^5.639/g1^4 + t^5.749/g1^36 + t^5.875/g1^18 - 2*t^6. + t^6.11/g1^32 - g1^18*t^6.125 + (2*t^6.236)/g1^14 + (3*t^6.472)/g1^28 - g1^22*t^6.487 + (3*t^6.597)/g1^10 + t^6.707/g1^42 + 3*g1^8*t^6.722 + (2*t^6.833)/g1^24 + (2*t^6.958)/g1^6 + 3*g1^12*t^7.084 + (2*t^7.194)/g1^20 - t^7.319/g1^2 + (2*t^7.43)/g1^34 + (4*t^7.555)/g1^16 + t^7.666/g1^48 + (2*t^7.791)/g1^30 - g1^20*t^7.806 + (7*t^7.916)/g1^12 + t^8.027/g1^44 + g1^6*t^8.042 + (3*t^8.152)/g1^26 + g1^24*t^8.167 - t^8.278/g1^8 + (2*t^8.388)/g1^40 + t^8.513/g1^22 + g1^28*t^8.528 + t^8.624/g1^54 - (4*t^8.639)/g1^4 + (3*t^8.749)/g1^36 - 3*g1^14*t^8.764 + (2*t^8.875)/g1^18 + 2*g1^32*t^8.89 + t^8.985/g1^50 - t^4.319/(g1^2*y) - t^6.597/(g1^10*y) - t^6.958/(g1^6*y) - t^7.194/(g1^20*y) + (g1^16*t^7.445)/y + (g1^2*t^7.681)/y + (2*t^7.916)/(g1^12*y) + (g1^6*t^8.042)/y + t^8.152/(g1^26*y) + (2*t^8.278)/(g1^8*y) + (2*t^8.513)/(g1^22*y) + (2*t^8.639)/(g1^4*y) + t^8.875/(g1^18*y) - (t^4.319*y)/g1^2 - (t^6.597*y)/g1^10 - (t^6.958*y)/g1^6 - (t^7.194*y)/g1^20 + g1^16*t^7.445*y + g1^2*t^7.681*y + (2*t^7.916*y)/g1^12 + g1^6*t^8.042*y + (t^8.152*y)/g1^26 + (2*t^8.278*y)/g1^8 + (2*t^8.513*y)/g1^22 + (2*t^8.639*y)/g1^4 + (t^8.875*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1094 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ | 0.6472 | 0.7915 | 0.8178 | [M:[1.0, 1.0769, 1.1538, 0.9231, 0.8462], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | t^2.538 + 2*t^2.769 + t^3. + t^3.462 + 2*t^3.692 + 2*t^3.923 + 2*t^4.154 + t^4.385 + t^4.615 + t^5.077 + 2*t^5.308 + 3*t^5.538 - t^6. - t^4.385/y - t^4.385*y | detail | {a: 1422/2197, c: 13911/17576, M1: 1, M2: 14/13, M3: 15/13, M4: 12/13, M5: 11/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |
| 1091 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6636 | 0.8114 | 0.8179 | [M:[1.0, 1.0909, 1.0909, 0.9091, 0.8182], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | t^2.455 + 2*t^2.727 + t^3. + t^3.273 + 3*t^3.818 + 2*t^4.091 + 3*t^4.364 + t^4.909 + 2*t^5.182 + 4*t^5.455 + t^5.727 - 2*t^6. - t^4.364/y - t^4.364*y | detail | {a: 14133/21296, c: 17279/21296, M1: 1, M2: 12/11, M3: 12/11, M4: 10/11, M5: 9/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11} |
| 1092 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6767 | 0.8295 | 0.8158 | [M:[1.0, 1.1111, 1.0, 0.8889, 0.7778], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | t^2.333 + 2*t^2.667 + 2*t^3. + t^3.667 + 4*t^4. + 2*t^4.333 + 2*t^4.667 + 2*t^5. + 5*t^5.333 + 2*t^5.667 - t^6. - t^4.333/y - t^4.333*y | detail | {a: 877/1296, c: 1075/1296, M1: 1, M2: 10/9, M3: 1, M4: 8/9, M5: 7/9, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, phi1: 4/9} |
| 1095 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6985 | 0.8713 | 0.8016 | [M:[1.0, 1.1171, 0.9731, 0.8829, 0.7658, 0.7026], q:[0.7793, 0.428], qb:[0.572, 0.4549], phi:[0.4415]] | t^2.108 + t^2.297 + 2*t^2.649 + t^2.919 + t^3. + t^3.622 + t^3.973 + 2*t^4.054 + t^4.215 + t^4.324 + 2*t^4.405 + t^4.595 + 3*t^4.756 + 2*t^4.946 + t^5.027 + t^5.108 + t^5.217 + 4*t^5.297 + t^5.568 + t^5.649 + t^5.729 + t^5.839 + t^5.919 - 2*t^6. - t^4.324/y - t^4.324*y | detail | |
| 1093 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6949 | 0.8621 | 0.8061 | [M:[1.0, 1.1163, 0.9767, 0.8837, 0.7674, 0.7907], q:[0.7791, 0.4302], qb:[0.5698, 0.4535], phi:[0.4419]] | t^2.302 + t^2.372 + 2*t^2.651 + t^2.93 + t^3. + t^3.907 + t^3.977 + 2*t^4.047 + t^4.326 + t^4.396 + t^4.604 + t^4.674 + 2*t^4.744 + 2*t^4.953 + 2*t^5.023 + t^5.232 + 5*t^5.302 + t^5.372 + t^5.581 + t^5.651 + t^5.86 - 2*t^6. - t^4.326/y - t^4.326*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 |
|---|---|---|---|---|---|---|---|---|---|
| 416 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.6597 | 0.7994 | 0.8252 | [M:[1.0, 1.1177, 0.9704, 0.8823], q:[0.7794, 0.4264], qb:[0.5736, 0.456], phi:[0.4412]] | 2*t^2.647 + t^2.911 + t^3. + t^3.617 + t^3.706 + t^3.882 + t^3.97 + 2*t^4.059 + t^4.323 + t^4.412 + t^4.765 + 3*t^5.294 + t^5.558 + t^5.647 + t^5.822 - 2*t^6. - t^4.323/y - t^4.323*y | detail |