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 |
|---|---|---|---|---|---|---|---|---|---|
| 2014 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6744 | 0.8431 | 0.7999 | [M:[0.8409, 1.0795, 1.0, 1.1591, 0.6819, 0.8409], q:[0.3892, 0.7699], qb:[0.4517, 0.5483], phi:[0.4602]] | [M:[[-8], [4], [0], [8], [-16], [-8]], q:[[7], [1]], qb:[[-15], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{1}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | t^2.046 + 2*t^2.523 + t^2.812 + t^3. + t^3.239 + t^3.665 + t^3.716 + t^3.903 + 2*t^4.091 + t^4.193 + t^4.381 + 2*t^4.568 + t^4.67 + t^4.858 + 4*t^5.046 + t^5.284 + 2*t^5.335 + t^5.523 + t^5.625 + 3*t^5.761 + t^5.949 - 2*t^6. + t^6.051 + 2*t^6.137 + t^6.188 + 3*t^6.239 - t^6.29 + 2*t^6.426 + t^6.528 + 4*t^6.614 + 3*t^6.716 + 4*t^6.903 - t^6.954 + t^7.005 + 4*t^7.091 - t^7.142 + 2*t^7.193 + 2*t^7.33 + t^7.381 + t^7.432 + t^7.483 + 4*t^7.568 + t^7.619 + t^7.756 + 4*t^7.807 + t^7.858 + t^7.909 + 2*t^7.995 - t^8.046 + t^8.097 + t^8.147 + 3*t^8.182 - t^8.233 + 6*t^8.284 - 2*t^8.335 + t^8.386 + t^8.437 + 3*t^8.472 - 6*t^8.523 + 3*t^8.574 + 4*t^8.659 + t^8.71 + 6*t^8.761 - 5*t^8.812 + 2*t^8.863 + 4*t^8.949 - t^4.381/y - t^6.426/y - t^6.903/y + (2*t^7.568)/y + (2*t^7.858)/y + (2*t^8.046)/y + t^8.284/y + (3*t^8.335)/y - t^8.472/y + (2*t^8.523)/y + t^8.71/y + (3*t^8.761)/y + t^8.812/y - t^4.381*y - t^6.426*y - t^6.903*y + 2*t^7.568*y + 2*t^7.858*y + 2*t^8.046*y + t^8.284*y + 3*t^8.335*y - t^8.472*y + 2*t^8.523*y + t^8.71*y + 3*t^8.761*y + t^8.812*y | t^2.046/g1^16 + (2*t^2.523)/g1^8 + g1^22*t^2.812 + t^3. + g1^4*t^3.239 + t^3.665/g1^14 + g1^12*t^3.716 + t^3.903/g1^10 + (2*t^4.091)/g1^32 + g1^20*t^4.193 + t^4.381/g1^2 + (2*t^4.568)/g1^24 + g1^28*t^4.67 + g1^6*t^4.858 + (4*t^5.046)/g1^16 + t^5.284/g1^12 + 2*g1^14*t^5.335 + t^5.523/g1^8 + g1^44*t^5.625 + (3*t^5.761)/g1^4 + t^5.949/g1^26 - 2*t^6. + g1^26*t^6.051 + (2*t^6.137)/g1^48 + t^6.188/g1^22 + 3*g1^4*t^6.239 - g1^30*t^6.29 + (2*t^6.426)/g1^18 + g1^34*t^6.528 + (4*t^6.614)/g1^40 + 3*g1^12*t^6.716 + (4*t^6.903)/g1^10 - g1^16*t^6.954 + g1^42*t^7.005 + (4*t^7.091)/g1^32 - t^7.142/g1^6 + 2*g1^20*t^7.193 + (2*t^7.33)/g1^28 + t^7.381/g1^2 + g1^24*t^7.432 + g1^50*t^7.483 + (4*t^7.568)/g1^24 + g1^2*t^7.619 + t^7.756/g1^46 + (4*t^7.807)/g1^20 + g1^6*t^7.858 + g1^32*t^7.909 + (2*t^7.995)/g1^42 - t^8.046/g1^16 + g1^10*t^8.097 + g1^36*t^8.147 + (3*t^8.182)/g1^64 - t^8.233/g1^38 + (6*t^8.284)/g1^12 - 2*g1^14*t^8.335 + g1^40*t^8.386 + g1^66*t^8.437 + (3*t^8.472)/g1^34 - (6*t^8.523)/g1^8 + 3*g1^18*t^8.574 + (4*t^8.659)/g1^56 + t^8.71/g1^30 + (6*t^8.761)/g1^4 - 5*g1^22*t^8.812 + 2*g1^48*t^8.863 + (4*t^8.949)/g1^26 - t^4.381/(g1^2*y) - t^6.426/(g1^18*y) - t^6.903/(g1^10*y) + (2*t^7.568)/(g1^24*y) + (2*g1^6*t^7.858)/y + (2*t^8.046)/(g1^16*y) + t^8.284/(g1^12*y) + (3*g1^14*t^8.335)/y - t^8.472/(g1^34*y) + (2*t^8.523)/(g1^8*y) + t^8.71/(g1^30*y) + (3*t^8.761)/(g1^4*y) + (g1^22*t^8.812)/y - (t^4.381*y)/g1^2 - (t^6.426*y)/g1^18 - (t^6.903*y)/g1^10 + (2*t^7.568*y)/g1^24 + 2*g1^6*t^7.858*y + (2*t^8.046*y)/g1^16 + (t^8.284*y)/g1^12 + 3*g1^14*t^8.335*y - (t^8.472*y)/g1^34 + (2*t^8.523*y)/g1^8 + (t^8.71*y)/g1^30 + (3*t^8.761*y)/g1^4 + g1^22*t^8.812*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 |
|---|---|---|---|---|---|---|---|---|
| 3062 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.695 | 0.8825 | 0.7875 | [M:[0.8422, 1.0789, 1.0, 1.1578, 0.6844, 0.8422, 0.6972], q:[0.3881, 0.7697], qb:[0.4541, 0.5459], phi:[0.4606]] | t^2.053 + t^2.092 + 2*t^2.527 + t^2.802 + t^3. + t^3.237 + t^3.672 + t^3.71 + 2*t^4.107 + t^4.145 + 2*t^4.183 + t^4.382 + 2*t^4.58 + 2*t^4.618 + t^4.657 + t^4.855 + t^4.893 + 4*t^5.053 + t^5.092 + t^5.29 + 3*t^5.328 + t^5.527 + t^5.604 + 4*t^5.763 + t^5.802 - 2*t^6. - t^4.382/y - t^4.382*y | detail | |
| 3061 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6931 | 0.8774 | 0.79 | [M:[0.8369, 1.0816, 1.0, 1.1631, 0.6738, 0.8369, 0.7553], q:[0.3927, 0.7704], qb:[0.4442, 0.5558], phi:[0.4592]] | t^2.021 + t^2.266 + 2*t^2.511 + t^2.846 + t^3. + t^3.245 + t^3.644 + t^3.888 + 2*t^4.043 + t^4.223 + t^4.287 + t^4.378 + 3*t^4.532 + t^4.713 + 2*t^4.777 + t^4.867 + 4*t^5.021 + t^5.112 + 2*t^5.266 + 2*t^5.356 + 2*t^5.511 + t^5.691 + 2*t^5.755 + 2*t^5.91 - 2*t^6. - t^4.378/y - t^4.378*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 |
|---|---|---|---|---|---|---|---|---|---|
| 828 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ | 0.7059 | 0.868 | 0.8133 | [M:[0.9254, 1.0373, 1.0, 1.0746, 0.8508, 0.9254], q:[0.4792, 0.5954], qb:[0.4462, 0.5538], phi:[0.4814]] | t^2.552 + 2*t^2.776 + t^3. + t^3.099 + t^3.112 + t^3.125 + t^4.121 + t^4.22 + t^4.319 + t^4.444 + t^4.543 + t^4.569 + t^4.668 + t^4.767 + t^4.892 + t^5.017 + t^5.105 + 2*t^5.329 + 3*t^5.552 + t^5.664 + t^5.776 + t^5.875 + 2*t^5.888 + t^5.901 - 3*t^6. - t^4.444/y - t^4.444*y | detail |