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 |
|---|
# | 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 |
|---|---|---|---|---|---|---|---|---|---|
| 51684 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6587 | 0.832 | 0.7917 | [X:[1.5568], M:[0.4432, 1.1856, 0.7784, 0.8863, 0.6705, 0.7424], q:[0.7964, 0.7604], qb:[0.4612, 0.3532], phi:[0.4072]] | [X:[[12]], M:[[-12], [4], [6], [-24], [36], [16]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.011 + t^2.227 + t^2.335 + t^2.443 + t^2.659 + t^3.341 + t^3.449 + t^3.557 + t^3.665 + t^4.023 + t^4.239 + t^4.347 + 2*t^4.455 + 2*t^4.563 + 4*t^4.67 + 3*t^4.886 + t^4.994 + t^5.318 + t^5.352 + t^5.46 + 2*t^5.568 + 2*t^5.676 + 4*t^5.784 + 2*t^5.892 - t^6. + t^6.034 + t^6.108 + t^6.25 - t^6.324 + t^6.358 + 2*t^6.466 + 2*t^6.574 + 6*t^6.682 + 3*t^6.79 + 6*t^6.898 + 4*t^7.006 + 3*t^7.114 + 3*t^7.33 + t^7.364 - t^7.437 + t^7.472 + 2*t^7.58 + t^7.653 + 2*t^7.688 + 5*t^7.796 + 4*t^7.904 + t^7.977 + 4*t^8.011 + t^8.046 + 4*t^8.119 + t^8.227 + t^8.262 - 2*t^8.335 + t^8.37 - 2*t^8.443 + 2*t^8.478 - t^8.551 + 2*t^8.586 - 5*t^8.659 + 6*t^8.693 - t^8.767 + 3*t^8.801 + 8*t^8.909 - t^8.983 - t^4.222/y - t^6.233/y - t^6.449/y - t^6.557/y - t^6.881/y + t^7.239/y + t^7.347/y + t^7.455/y + (2*t^7.563)/y + (2*t^7.67)/y + t^7.778/y + (2*t^7.886)/y + (2*t^7.994)/y + t^8.102/y + t^8.21/y - t^8.245/y + t^8.352/y + t^8.568/y + (2*t^8.676)/y + (2*t^8.784)/y + t^8.892/y - t^4.222*y - t^6.233*y - t^6.449*y - t^6.557*y - t^6.881*y + t^7.239*y + t^7.347*y + t^7.455*y + 2*t^7.563*y + 2*t^7.67*y + t^7.778*y + 2*t^7.886*y + 2*t^7.994*y + t^8.102*y + t^8.21*y - t^8.245*y + t^8.352*y + t^8.568*y + 2*t^8.676*y + 2*t^8.784*y + t^8.892*y | g1^36*t^2.011 + g1^16*t^2.227 + g1^6*t^2.335 + t^2.443/g1^4 + t^2.659/g1^24 + g1^24*t^3.341 + g1^14*t^3.449 + g1^4*t^3.557 + t^3.665/g1^6 + g1^72*t^4.023 + g1^52*t^4.239 + g1^42*t^4.347 + 2*g1^32*t^4.455 + 2*g1^22*t^4.563 + 4*g1^12*t^4.67 + (3*t^4.886)/g1^8 + t^4.994/g1^18 + t^5.318/g1^48 + g1^60*t^5.352 + g1^50*t^5.46 + 2*g1^40*t^5.568 + 2*g1^30*t^5.676 + 4*g1^20*t^5.784 + 2*g1^10*t^5.892 - t^6. + g1^108*t^6.034 + t^6.108/g1^10 + g1^88*t^6.25 - t^6.324/g1^30 + g1^78*t^6.358 + 2*g1^68*t^6.466 + 2*g1^58*t^6.574 + 6*g1^48*t^6.682 + 3*g1^38*t^6.79 + 6*g1^28*t^6.898 + 4*g1^18*t^7.006 + 3*g1^8*t^7.114 + (3*t^7.33)/g1^12 + g1^96*t^7.364 - t^7.437/g1^22 + g1^86*t^7.472 + 2*g1^76*t^7.58 + t^7.653/g1^42 + 2*g1^66*t^7.688 + 5*g1^56*t^7.796 + 4*g1^46*t^7.904 + t^7.977/g1^72 + 4*g1^36*t^8.011 + g1^144*t^8.046 + 4*g1^26*t^8.119 + g1^16*t^8.227 + g1^124*t^8.262 - 2*g1^6*t^8.335 + g1^114*t^8.37 - (2*t^8.443)/g1^4 + 2*g1^104*t^8.478 - t^8.551/g1^14 + 2*g1^94*t^8.586 - (5*t^8.659)/g1^24 + 6*g1^84*t^8.693 - t^8.767/g1^34 + 3*g1^74*t^8.801 + 8*g1^64*t^8.909 - t^8.983/g1^54 - t^4.222/(g1^2*y) - (g1^34*t^6.233)/y - (g1^14*t^6.449)/y - (g1^4*t^6.557)/y - t^6.881/(g1^26*y) + (g1^52*t^7.239)/y + (g1^42*t^7.347)/y + (g1^32*t^7.455)/y + (2*g1^22*t^7.563)/y + (2*g1^12*t^7.67)/y + (g1^2*t^7.778)/y + (2*t^7.886)/(g1^8*y) + (2*t^7.994)/(g1^18*y) + t^8.102/(g1^28*y) + t^8.21/(g1^38*y) - (g1^70*t^8.245)/y + (g1^60*t^8.352)/y + (g1^40*t^8.568)/y + (2*g1^30*t^8.676)/y + (2*g1^20*t^8.784)/y + (g1^10*t^8.892)/y - (t^4.222*y)/g1^2 - g1^34*t^6.233*y - g1^14*t^6.449*y - g1^4*t^6.557*y - (t^6.881*y)/g1^26 + g1^52*t^7.239*y + g1^42*t^7.347*y + g1^32*t^7.455*y + 2*g1^22*t^7.563*y + 2*g1^12*t^7.67*y + g1^2*t^7.778*y + (2*t^7.886*y)/g1^8 + (2*t^7.994*y)/g1^18 + (t^8.102*y)/g1^28 + (t^8.21*y)/g1^38 - g1^70*t^8.245*y + g1^60*t^8.352*y + g1^40*t^8.568*y + 2*g1^30*t^8.676*y + 2*g1^20*t^8.784*y + g1^10*t^8.892*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 |
|---|
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 56298 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6743 | 0.8589 | 0.7851 | [X:[1.5584], M:[0.4416, 1.1861, 0.7792, 0.8832, 0.6753, 0.7446, 0.8139], q:[0.7965, 0.7619], qb:[0.4589, 0.355], phi:[0.4069]] | t^2.026 + t^2.234 + t^2.338 + 2*t^2.442 + t^2.649 + t^3.351 + t^3.454 + t^3.662 + t^4.052 + t^4.259 + t^4.363 + 3*t^4.467 + 2*t^4.571 + 5*t^4.675 + t^4.779 + 5*t^4.883 + t^4.987 + t^5.091 + t^5.299 + t^5.376 + t^5.48 + t^5.584 + 2*t^5.688 + 4*t^5.792 + 2*t^5.896 - 2*t^6. - t^4.221/y - t^4.221*y | detail | |
| 56278 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}X_{2}$ | 0.4942 | 0.6013 | 0.8218 | [X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 1.1429, 0.9524], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]] | t^2.286 + t^2.571 + t^2.857 + 2*t^3.429 + t^3.714 + 2*t^4.286 + 2*t^4.571 + t^5.143 + t^5.429 + 2*t^5.714 - t^6. - t^4.143/y - t^4.143*y | detail | {a: 339/686, c: 825/1372, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 8/7, M6: 20/21, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21} |
| 56277 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{4}X_{2}$ | 0.5279 | 0.6433 | 0.8206 | [X:[1.6923, 1.3846], M:[0.3077, 1.2308, 0.8462, 0.6154, 1.0769, 0.9231], q:[0.8077, 0.8846], qb:[0.2692, 0.5], phi:[0.3846]] | t^2.308 + t^2.538 + t^2.769 + t^3.231 + t^3.462 + t^3.692 + t^3.923 + t^4.154 + 2*t^4.615 + 3*t^5.077 + t^5.538 + t^5.769 - t^6. - t^4.154/y - t^4.154*y | detail | {a: 9279/17576, c: 11307/17576, X1: 22/13, X2: 18/13, M1: 4/13, M2: 16/13, M3: 11/13, M4: 8/13, M5: 14/13, M6: 12/13, q1: 21/26, q2: 23/26, qb1: 7/26, qb2: 1/2, phi1: 5/13} |
| 56297 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6721 | 0.8536 | 0.7873 | [X:[1.5631], M:[0.4369, 1.1877, 0.7816, 0.8737, 0.6894, 0.7509, 0.843], q:[0.7969, 0.7662], qb:[0.4522, 0.3601], phi:[0.4061]] | t^2.068 + t^2.253 + t^2.345 + t^2.437 + t^2.529 + t^2.621 + t^3.379 + t^3.563 + t^3.655 + t^4.137 + t^4.321 + t^4.413 + 2*t^4.505 + 3*t^4.597 + 4*t^4.689 + t^4.782 + 4*t^4.874 + 2*t^4.966 + t^5.058 + t^5.15 + t^5.242 + t^5.447 + 2*t^5.631 + t^5.724 + 3*t^5.816 + 2*t^5.908 - t^6. - t^4.218/y - t^4.218*y | detail | |
| 56296 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ | 0.6699 | 0.8489 | 0.7892 | [X:[1.5685], M:[0.4315, 1.1895, 0.7842, 0.8631, 0.7054, 0.758, 0.8631], q:[0.7974, 0.7711], qb:[0.4447, 0.3658], phi:[0.4053]] | t^2.116 + t^2.274 + t^2.353 + t^2.432 + 2*t^2.589 + t^3.49 + t^3.568 + t^3.647 + t^4.233 + t^4.39 + t^4.469 + 2*t^4.548 + 2*t^4.627 + 5*t^4.705 + 4*t^4.863 + 2*t^4.942 + t^5.021 + 3*t^5.178 + t^5.606 + t^5.685 + t^5.764 + 3*t^5.842 + 2*t^5.921 - 2*t^6. - t^4.216/y - t^4.216*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 |
|---|
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| No data available in table | |||||||||
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 |
|---|
| Loading... |
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 |
|---|
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 48300 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6395 | 0.796 | 0.8033 | [X:[1.5608], M:[0.4392, 1.1869, 0.7804, 0.8784, 0.6823], q:[0.7967, 0.7641], qb:[0.4556, 0.3575], phi:[0.4065]] | t^2.047 + t^2.341 + t^2.439 + t^2.635 + t^3.365 + t^3.463 + t^3.561 + t^3.659 + t^3.757 + t^4.094 + t^4.388 + t^4.486 + t^4.584 + 3*t^4.682 + 2*t^4.878 + t^4.976 + t^5.271 + t^5.412 + t^5.51 + t^5.608 + t^5.706 + 4*t^5.804 + t^5.902 - t^6. - t^4.22/y - t^4.22*y | detail |