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 |
|---|---|---|---|---|---|---|---|---|---|
| 881 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6383 | 0.8085 | 0.7895 | [M:[0.7923, 1.2077, 0.7923, 0.6923, 1.1539, 1.1384], q:[0.75, 0.4577], qb:[0.4039, 0.3884], phi:[0.5]] | [M:[[1, 1], [-1, -1], [1, 1], [-2, 0], [1, 0], [0, 1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.077 + 2*t^2.377 + t^3. + 2*t^3.415 + 2*t^3.462 + t^3.83 + t^3.877 + t^4.038 + t^4.085 + t^4.154 + t^4.246 + 2*t^4.454 + 3*t^4.754 + t^5.077 + 2*t^5.377 + 2*t^5.492 + 2*t^5.538 + 3*t^5.792 + 3*t^5.838 + t^5.907 - 3*t^6. - t^6.046 + t^6.115 + 2*t^6.207 - t^6.208 + t^6.23 + 2*t^6.254 + t^6.323 + 2*t^6.415 + 2*t^6.462 + 2*t^6.53 + 6*t^6.83 + 3*t^6.877 + 2*t^6.923 - t^7.038 - t^7.085 + 4*t^7.131 + t^7.154 + 2*t^7.246 + 2*t^7.292 + 2*t^7.454 + 2*t^7.569 + 2*t^7.615 + t^7.661 + t^7.707 + 3*t^7.754 + 4*t^7.869 + 3*t^7.915 - t^7.962 + t^7.984 - 2*t^8.077 - t^8.123 + 4*t^8.169 + t^8.192 + 4*t^8.215 + 2*t^8.284 + t^8.307 + t^8.331 - 6*t^8.377 + t^8.4 - 2*t^8.423 + 2*t^8.492 + t^8.493 + 3*t^8.584 - 2*t^8.585 + 2*t^8.607 + 3*t^8.631 + 2*t^8.792 + 2*t^8.838 + 6*t^8.907 + 2*t^8.954 - t^4.5/y - t^6.577/y - t^6.877/y + t^7.038/y + t^7.085/y + (2*t^7.454)/y + t^7.754/y - t^7.915/y - t^7.962/y + t^8.077/y + t^8.123/y + (2*t^8.377)/y + t^8.423/y + (2*t^8.492)/y + (2*t^8.538)/y - t^8.654/y + (4*t^8.792)/y + (4*t^8.838)/y + t^8.907/y - t^4.5*y - t^6.577*y - t^6.877*y + t^7.038*y + t^7.085*y + 2*t^7.454*y + t^7.754*y - t^7.915*y - t^7.962*y + t^8.077*y + t^8.123*y + 2*t^8.377*y + t^8.423*y + 2*t^8.492*y + 2*t^8.538*y - t^8.654*y + 4*t^8.792*y + 4*t^8.838*y + t^8.907*y | t^2.077/g1^2 + 2*g1*g2*t^2.377 + t^3. + 2*g2*t^3.415 + 2*g1*t^3.462 + g2^2*t^3.83 + g1*g2*t^3.877 + t^4.038/g1 + t^4.085/g2 + t^4.154/g1^4 + t^4.246/(g1^2*g2^2) + (2*g2*t^4.454)/g1 + 3*g1^2*g2^2*t^4.754 + t^5.077/g1^2 + 2*g1*g2*t^5.377 + (2*g2*t^5.492)/g1^2 + (2*t^5.538)/g1 + 3*g1*g2^2*t^5.792 + 3*g1^2*g2*t^5.838 + (g2^2*t^5.907)/g1^2 - 3*t^6. - (g1*t^6.046)/g2 + t^6.115/g1^3 + 2*g1*g2^3*t^6.207 - t^6.208/(g1*g2^2) + t^6.23/g1^6 + 2*g1^2*g2^2*t^6.254 + t^6.323/(g1^4*g2^2) + 2*g2*t^6.415 + 2*g1*t^6.462 + (2*g2*t^6.53)/g1^3 + 6*g2^2*t^6.83 + 3*g1*g2*t^6.877 + 2*g1^2*t^6.923 - t^7.038/g1 - t^7.085/g2 + 4*g1^3*g2^3*t^7.131 + t^7.154/g1^4 + 2*g2^3*t^7.246 + 2*g1*g2^2*t^7.292 + (2*g2*t^7.454)/g1 + (2*g2*t^7.569)/g1^4 + (2*t^7.615)/g1^3 + g2^4*t^7.661 + g1*g2^3*t^7.707 + 3*g1^2*g2^2*t^7.754 + (4*g2^2*t^7.869)/g1 + 3*g2*t^7.915 - g1*t^7.962 + (g2^2*t^7.984)/g1^4 - (2*t^8.077)/g1^2 - t^8.123/(g1*g2) + 4*g1^2*g2^3*t^8.169 + t^8.192/g1^5 + 4*g1^3*g2^2*t^8.215 + (2*g2^3*t^8.284)/g1 + t^8.307/g1^8 + t^8.331/(g1^2*g2^3) - 6*g1*g2*t^8.377 + t^8.4/(g1^6*g2^2) - 2*g1^2*t^8.423 + (2*g2*t^8.492)/g1^2 + t^8.493/(g1^4*g2^4) + 3*g1^2*g2^4*t^8.584 - (2*t^8.585)/g2 + (2*g2*t^8.607)/g1^5 + 3*g1^3*g2^3*t^8.631 + 2*g1*g2^2*t^8.792 + 2*g1^2*g2*t^8.838 + (6*g2^2*t^8.907)/g1^2 + (2*g2*t^8.954)/g1 - t^4.5/y - t^6.577/(g1^2*y) - (g1*g2*t^6.877)/y + t^7.038/(g1*y) + t^7.085/(g2*y) + (2*g2*t^7.454)/(g1*y) + (g1^2*g2^2*t^7.754)/y - (g2*t^7.915)/y - (g1*t^7.962)/y + t^8.077/(g1^2*y) + t^8.123/(g1*g2*y) + (2*g1*g2*t^8.377)/y + (g1^2*t^8.423)/y + (2*g2*t^8.492)/(g1^2*y) + (2*t^8.538)/(g1*y) - t^8.654/(g1^4*y) + (4*g1*g2^2*t^8.792)/y + (4*g1^2*g2*t^8.838)/y + (g2^2*t^8.907)/(g1^2*y) - t^4.5*y - (t^6.577*y)/g1^2 - g1*g2*t^6.877*y + (t^7.038*y)/g1 + (t^7.085*y)/g2 + (2*g2*t^7.454*y)/g1 + g1^2*g2^2*t^7.754*y - g2*t^7.915*y - g1*t^7.962*y + (t^8.077*y)/g1^2 + (t^8.123*y)/(g1*g2) + 2*g1*g2*t^8.377*y + g1^2*t^8.423*y + (2*g2*t^8.492*y)/g1^2 + (2*t^8.538*y)/g1 - (t^8.654*y)/g1^4 + 4*g1*g2^2*t^8.792*y + 4*g1^2*g2*t^8.838*y + (g2^2*t^8.907*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1371 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6297 | 0.7927 | 0.7943 | [M:[0.7935, 1.2065, 0.7935, 0.8043, 1.0978, 1.1957], q:[0.75, 0.4565], qb:[0.3478, 0.4457], phi:[0.5]] | 2*t^2.381 + t^2.413 + t^3. + 2*t^3.294 + 2*t^3.587 + t^3.881 + t^3.913 + t^4.174 + t^4.206 + t^4.239 + 3*t^4.761 + 2*t^4.794 + t^4.826 + 2*t^5.381 + t^5.413 + 3*t^5.674 + t^5.706 + 3*t^5.968 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 1373 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6587 | 0.8471 | 0.7777 | [M:[0.7978, 1.2022, 0.7978, 0.6887, 1.1557, 1.1422, 0.7022], q:[0.75, 0.4522], qb:[0.4057, 0.3922], phi:[0.5]] | t^2.066 + t^2.107 + 2*t^2.393 + t^3. + 2*t^3.426 + 2*t^3.467 + t^3.853 + t^4.033 + t^4.074 + t^4.132 + t^4.173 + 2*t^4.213 + 2*t^4.46 + 2*t^4.5 + 3*t^4.787 + t^5.066 + t^5.107 + 2*t^5.393 + 2*t^5.493 + 4*t^5.533 + 2*t^5.574 + 3*t^5.82 + 3*t^5.86 + t^5.919 - 3*t^6. - t^4.5/y - t^4.5*y | detail | |
| 1372 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6586 | 0.8461 | 0.7784 | [M:[0.7995, 1.2005, 0.7995, 0.7005, 1.1497, 1.1497, 0.7005], q:[0.75, 0.4505], qb:[0.3997, 0.3997], phi:[0.5]] | 2*t^2.102 + 2*t^2.398 + t^3. + 4*t^3.449 + t^3.898 + 2*t^4.051 + 4*t^4.203 + 4*t^4.5 + 3*t^4.797 + 2*t^5.102 + 2*t^5.398 + 8*t^5.551 + 6*t^5.848 - 3*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 567 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6514 | 0.8288 | 0.7859 | [M:[0.8067, 1.1933, 0.8067, 0.7089, 1.1456], q:[0.75, 0.4433], qb:[0.3956, 0.4111], phi:[0.5]] | t^2.127 + 2*t^2.42 + t^2.517 + t^3. + 2*t^3.437 + t^3.483 + t^3.92 + t^3.967 + t^4.017 + t^4.063 + t^4.16 + t^4.253 + 2*t^4.547 + t^4.643 + 3*t^4.84 + 2*t^4.937 + t^5.033 + t^5.127 + 2*t^5.42 + t^5.517 + 2*t^5.563 + t^5.61 + 3*t^5.857 + t^5.903 + t^5.953 - 2*t^6. - t^4.5/y - t^4.5*y | detail |