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 |
|---|---|---|---|---|---|---|---|---|---|
| 4799 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{6}M_{7}$ | 0.6396 | 0.787 | 0.8126 | [M:[0.8811, 0.7189, 0.7595, 0.8405, 1.1595, 0.7595, 1.2405, 1.2811], q:[0.7595, 0.3595], qb:[0.4811, 0.8], phi:[0.4]] | [M:[[2], [-2], [-1], [1], [-1], [-1], [1], [2]], q:[[-1], [-1]], qb:[[2], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.278 + t^2.4 + t^2.522 + t^2.643 + t^3.357 + t^3.478 + t^3.722 + t^3.843 + t^4.087 + 2*t^4.557 + 2*t^4.678 + t^4.8 + 3*t^4.922 + 2*t^5.043 + t^5.287 + 3*t^5.757 + t^5.878 - t^6. + 2*t^6.122 + t^6.243 + t^6.365 + 2*t^6.487 + t^6.608 + t^6.713 + t^6.73 + t^6.835 + 2*t^6.957 + 2*t^7.078 + 2*t^7.2 + 3*t^7.322 + 3*t^7.443 + 3*t^7.565 + t^7.687 + t^7.808 + t^7.913 + 2*t^7.93 + 2*t^8.035 + t^8.157 + t^8.173 - t^8.278 + t^8.4 - t^8.522 - t^8.643 + 3*t^8.765 + t^8.887 - t^4.2/y - t^6.478/y - t^6.6/y - t^6.843/y + t^7.557/y + t^7.678/y + (2*t^7.8)/y + (3*t^7.922)/y + t^8.043/y + t^8.165/y + t^8.635/y + t^8.757/y + t^8.878/y - t^4.2*y - t^6.478*y - t^6.6*y - t^6.843*y + t^7.557*y + t^7.678*y + 2*t^7.8*y + 3*t^7.922*y + t^8.043*y + t^8.165*y + t^8.635*y + t^8.757*y + t^8.878*y | t^2.278/g1 + t^2.4 + g1*t^2.522 + g1^2*t^2.643 + t^3.357/g1^2 + t^3.478/g1 + g1*t^3.722 + g1^2*t^3.843 + g1^4*t^4.087 + (2*t^4.557)/g1^2 + (2*t^4.678)/g1 + t^4.8 + 3*g1*t^4.922 + 2*g1^2*t^5.043 + g1^4*t^5.287 + (3*t^5.757)/g1^2 + t^5.878/g1 - t^6. + 2*g1*t^6.122 + g1^2*t^6.243 + g1^3*t^6.365 + 2*g1^4*t^6.487 + g1^5*t^6.608 + t^6.713/g1^4 + g1^6*t^6.73 + t^6.835/g1^3 + (2*t^6.957)/g1^2 + (2*t^7.078)/g1 + 2*t^7.2 + 3*g1*t^7.322 + 3*g1^2*t^7.443 + 3*g1^3*t^7.565 + g1^4*t^7.687 + g1^5*t^7.808 + t^7.913/g1^4 + 2*g1^6*t^7.93 + (2*t^8.035)/g1^3 + t^8.157/g1^2 + g1^8*t^8.173 - t^8.278/g1 + t^8.4 - g1*t^8.522 - g1^2*t^8.643 + 3*g1^3*t^8.765 + g1^4*t^8.887 - t^4.2/y - t^6.478/(g1*y) - t^6.6/y - (g1^2*t^6.843)/y + t^7.557/(g1^2*y) + t^7.678/(g1*y) + (2*t^7.8)/y + (3*g1*t^7.922)/y + (g1^2*t^8.043)/y + (g1^3*t^8.165)/y + t^8.635/(g1^3*y) + t^8.757/(g1^2*y) + t^8.878/(g1*y) - t^4.2*y - (t^6.478*y)/g1 - t^6.6*y - g1^2*t^6.843*y + (t^7.557*y)/g1^2 + (t^7.678*y)/g1 + 2*t^7.8*y + 3*g1*t^7.922*y + g1^2*t^8.043*y + g1^3*t^8.165*y + (t^8.635*y)/g1^3 + (t^8.757*y)/g1^2 + (t^8.878*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 |
|---|---|---|---|---|---|---|---|---|
| 6403 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{6}M_{7}$ + ${ }M_{7}M_{9}$ | 0.6583 | 0.8208 | 0.802 | [M:[0.8889, 0.7111, 0.7556, 0.8444, 1.1556, 0.7556, 1.2444, 1.2889, 0.7556], q:[0.7556, 0.3556], qb:[0.4889, 0.8], phi:[0.4]] | 2*t^2.267 + t^2.4 + t^2.533 + t^2.667 + t^3.333 + t^3.467 + t^3.867 + t^4.133 + 4*t^4.533 + 3*t^4.667 + 2*t^4.8 + 4*t^4.933 + 2*t^5.067 + t^5.333 + t^5.6 + 4*t^5.733 + t^5.867 - 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 11849/18000, c: 7387/9000, M1: 8/9, M2: 32/45, M3: 34/45, M4: 38/45, M5: 52/45, M6: 34/45, M7: 56/45, M8: 58/45, M9: 34/45, q1: 34/45, q2: 16/45, qb1: 22/45, qb2: 4/5, phi1: 2/5} |
| 6402 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{6}M_{7}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6231 | 0.758 | 0.8219 | [M:[0.8811, 0.7189, 0.7595, 0.8405, 1.1595, 0.7595, 1.2405, 1.2811, 1.2], q:[0.7595, 0.3595], qb:[0.4811, 0.8], phi:[0.4]] | t^2.278 + t^2.522 + t^2.643 + t^3.357 + t^3.478 + t^3.6 + t^3.722 + t^3.843 + t^4.087 + 2*t^4.557 + t^4.678 + 2*t^4.922 + t^5.043 + t^5.287 + 2*t^5.757 + t^5.878 - t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2652 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6637 | 0.8211 | 0.8083 | [M:[1.0146, 0.7862, 0.9689, 0.832, 1.168, 0.7178, 1.0311, 1.2138], q:[0.5922, 0.3931], qb:[0.4389, 0.7749], phi:[0.4502]] | t^2.153 + t^2.496 + t^2.701 + t^3.044 + t^3.093 + t^3.504 + t^3.641 + t^3.709 + t^3.984 + t^4.101 + 2*t^4.307 + t^4.444 + t^4.649 + t^4.855 + t^4.904 + t^4.992 + 2*t^5.197 + t^5.247 + t^5.589 + t^5.657 + t^5.745 + 2*t^5.795 - 2*t^6. - t^4.351/y - t^4.351*y | detail |