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 |
|---|---|---|---|---|---|---|---|---|---|
| 4713 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{5}$ | 0.6861 | 0.8591 | 0.7986 | [X:[1.3036], M:[1.1607, 0.6964, 0.9285, 0.9285, 1.0715, 0.7856, 0.8393, 0.8393], q:[0.4911, 0.3482], qb:[0.5803, 0.7233], phi:[0.4643]] | [X:[[6]], M:[[-10], [-6], [-8], [-8], [8], [-24], [10], [10]], q:[[13], [-3]], qb:[[-5], [11]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{5}\phi_{1}^{2}$ | -1 | t^2.357 + 2*t^2.518 + 3*t^2.786 + t^3.214 + 2*t^3.911 + t^4.178 + t^4.34 + 2*t^4.607 + t^4.714 + 2*t^4.875 + 4*t^5.036 + 3*t^5.142 + 5*t^5.304 + 5*t^5.571 + 2*t^5.732 - t^6. + 2*t^6.429 + t^6.535 + 3*t^6.696 + 2*t^6.858 + 3*t^6.964 + t^7.071 + 4*t^7.125 + 2*t^7.232 + 5*t^7.393 + 3*t^7.499 + 5*t^7.554 + 5*t^7.66 + 7*t^7.822 + 5*t^7.928 + 6*t^8.089 + 3*t^8.25 + 4*t^8.357 - 2*t^8.518 + t^8.679 - 6*t^8.786 + t^8.892 + 4*t^8.947 - t^4.393/y - t^6.75/y - t^6.911/y - (2*t^7.178)/y + (2*t^7.607)/y + (3*t^7.875)/y + (2*t^8.036)/y + (3*t^8.142)/y + (6*t^8.304)/y + (4*t^8.571)/y + (2*t^8.732)/y - t^4.393*y - t^6.75*y - t^6.911*y - 2*t^7.178*y + 2*t^7.607*y + 3*t^7.875*y + 2*t^8.036*y + 3*t^8.142*y + 6*t^8.304*y + 4*t^8.571*y + 2*t^8.732*y | t^2.357/g1^24 + 2*g1^10*t^2.518 + (3*t^2.786)/g1^8 + g1^8*t^3.214 + 2*g1^6*t^3.911 + t^4.178/g1^12 + g1^22*t^4.34 + 2*g1^4*t^4.607 + t^4.714/g1^48 + (2*t^4.875)/g1^14 + 4*g1^20*t^5.036 + (3*t^5.142)/g1^32 + 5*g1^2*t^5.304 + (5*t^5.571)/g1^16 + 2*g1^18*t^5.732 - t^6. + 2*g1^16*t^6.429 + t^6.535/g1^36 + (3*t^6.696)/g1^2 + 2*g1^32*t^6.858 + (3*t^6.964)/g1^20 + t^7.071/g1^72 + 4*g1^14*t^7.125 + (2*t^7.232)/g1^38 + (5*t^7.393)/g1^4 + (3*t^7.499)/g1^56 + 5*g1^30*t^7.554 + (5*t^7.66)/g1^22 + 7*g1^12*t^7.822 + (5*t^7.928)/g1^40 + (6*t^8.089)/g1^6 + 3*g1^28*t^8.25 + (4*t^8.357)/g1^24 - 2*g1^10*t^8.518 + g1^44*t^8.679 - (6*t^8.786)/g1^8 + t^8.892/g1^60 + 4*g1^26*t^8.947 - t^4.393/(g1^4*y) - t^6.75/(g1^28*y) - (g1^6*t^6.911)/y - (2*t^7.178)/(g1^12*y) + (2*g1^4*t^7.607)/y + (3*t^7.875)/(g1^14*y) + (2*g1^20*t^8.036)/y + (3*t^8.142)/(g1^32*y) + (6*g1^2*t^8.304)/y + (4*t^8.571)/(g1^16*y) + (2*g1^18*t^8.732)/y - (t^4.393*y)/g1^4 - (t^6.75*y)/g1^28 - g1^6*t^6.911*y - (2*t^7.178*y)/g1^12 + 2*g1^4*t^7.607*y + (3*t^7.875*y)/g1^14 + 2*g1^20*t^8.036*y + (3*t^8.142*y)/g1^32 + 6*g1^2*t^8.304*y + (4*t^8.571*y)/g1^16 + 2*g1^18*t^8.732*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 |
|---|---|---|---|---|---|---|---|---|
| 6278 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{9}$ | 0.6798 | 0.8487 | 0.801 | [X:[1.2977], M:[1.1704, 0.7023, 0.9364, 0.9364, 1.0636, 0.8091, 0.8296, 0.8296, 1.0636], q:[0.4784, 0.3511], qb:[0.5852, 0.7125], phi:[0.4682]] | t^2.427 + 2*t^2.489 + 2*t^2.809 + 2*t^3.191 + 2*t^3.893 + t^4.214 + t^4.275 + 2*t^4.595 + t^4.854 + 2*t^4.916 + 4*t^4.977 + 2*t^5.236 + 3*t^5.298 + 3*t^5.618 + 4*t^5.68 - t^4.405/y - t^4.405*y | detail | |
| 6279 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{9}$ | 0.693 | 0.8711 | 0.7956 | [X:[1.3093], M:[1.1512, 0.6907, 0.921, 0.921, 1.079, 0.763, 0.8488, 0.8488, 0.921], q:[0.5034, 0.3454], qb:[0.5756, 0.7336], phi:[0.4605]] | t^2.289 + 2*t^2.546 + 4*t^2.763 + 2*t^3.928 + t^4.144 + t^4.402 + t^4.578 + 2*t^4.619 + 2*t^4.835 + 4*t^5.052 + 4*t^5.093 + 7*t^5.309 + 8*t^5.526 - 4*t^6. - t^4.381/y - t^4.381*y | detail | |
| 6276 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{9}$ | 0.6703 | 0.8332 | 0.8045 | [X:[1.2892], M:[1.1846, 0.7108, 0.9477, 0.9477, 1.0523, 0.8431, 0.8154, 0.8154, 1.1569], q:[0.46, 0.3554], qb:[0.5923, 0.6969], phi:[0.4738]] | 2*t^2.446 + 3*t^2.843 + t^3.157 + t^3.471 + 2*t^3.868 + t^4.181 + t^4.265 + 2*t^4.578 + 4*t^4.892 + 5*t^5.289 + 2*t^5.603 + 4*t^5.686 + 2*t^5.917 - t^6. - t^4.422/y - t^4.422*y | detail | |
| 6277 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}M_{9}$ | 0.6725 | 0.8362 | 0.8042 | [X:[1.3096], M:[1.1507, 0.6904, 0.9206, 0.9206, 1.0794, 0.7618, 0.8493, 0.8493, 1.1507], q:[0.504, 0.3452], qb:[0.5754, 0.7342], phi:[0.4603]] | t^2.285 + t^2.548 + 3*t^2.762 + t^3.238 + t^3.452 + 2*t^3.929 + t^4.143 + t^4.405 + t^4.571 + 2*t^4.619 + t^4.833 + 3*t^5.047 + 2*t^5.096 + 2*t^5.31 + 5*t^5.524 + t^5.738 + t^5.786 - t^4.381/y - t^4.381*y | detail | |
| 6280 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{5}$ + ${ }M_{9}\phi_{1}q_{1}q_{2}$ | 0.7067 | 0.8987 | 0.7863 | [X:[1.3043], M:[1.1594, 0.6957, 0.9275, 0.9275, 1.0725, 0.7826, 0.8406, 0.8406, 0.6957], q:[0.4928, 0.3478], qb:[0.5797, 0.7246], phi:[0.4638]] | t^2.087 + t^2.348 + 2*t^2.522 + 3*t^2.783 + t^3.217 + t^3.913 + 2*t^4.174 + t^4.348 + t^4.435 + 4*t^4.609 + t^4.696 + 5*t^4.87 + 4*t^5.043 + 3*t^5.13 + 6*t^5.304 + 5*t^5.565 + 2*t^5.739 - t^4.391/y - t^4.391*y | detail | {a: 2243/3174, c: 5705/6348, X1: 30/23, M1: 80/69, M2: 16/23, M3: 64/69, M4: 64/69, M5: 74/69, M6: 18/23, M7: 58/69, M8: 58/69, M9: 16/23, q1: 34/69, q2: 8/23, qb1: 40/69, qb2: 50/69, phi1: 32/69} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2611 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ | 0.6961 | 0.8694 | 0.8006 | [X:[1.3228], M:[1.1287, 0.6772, 0.8059, 1.0, 1.0, 0.8059, 0.8713, 0.8713], q:[0.5327, 0.3386], qb:[0.6614, 0.6614], phi:[0.4515]] | 2*t^2.418 + 2*t^2.614 + t^2.709 + 2*t^3. + 2*t^3.968 + 2*t^4.354 + t^4.551 + 3*t^4.835 + 2*t^4.937 + 2*t^5.032 + 2*t^5.127 + 3*t^5.228 + 5*t^5.323 + 4*t^5.418 + 2*t^5.614 + 2*t^5.709 - 3*t^6. - t^4.354/y - t^4.354*y | detail |