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 |
|---|---|---|---|---|---|---|---|---|---|
| 46579 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6848 | 0.8448 | 0.8106 | [M:[0.9816, 0.9816, 1.1193, 0.7798, 0.7798], q:[0.578, 0.4404], qb:[0.4404, 0.7798], phi:[0.4404]] | [M:[[1, -7], [-1, -11], [0, 4], [1, 3], [-1, -1]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$ | ${}$ | -4 | 2*t^2.339 + t^2.642 + 2*t^2.945 + t^3.358 + 3*t^3.963 + t^4.073 + 2*t^4.376 + 3*t^4.679 + t^4.789 + 2*t^4.982 + 5*t^5.284 + 2*t^5.697 + 3*t^5.89 - 4*t^6. + 6*t^6.303 + 2*t^6.605 + 4*t^6.716 + 4*t^6.908 + 4*t^7.018 + 2*t^7.129 + 3*t^7.321 + t^7.431 + 6*t^7.624 + 6*t^7.927 + 2*t^8.037 + t^8.147 + 6*t^8.229 - 6*t^8.339 + 5*t^8.642 + t^8.752 + 4*t^8.835 + t^8.863 - 6*t^8.945 - t^4.321/y - (2*t^6.661)/y - (2*t^7.266)/y + (2*t^7.376)/y + t^7.679/y + (4*t^7.982)/y + (4*t^8.284)/y + (2*t^8.587)/y + (2*t^8.697)/y + t^8.89/y - t^4.321*y - 2*t^6.661*y - 2*t^7.266*y + 2*t^7.376*y + t^7.679*y + 4*t^7.982*y + 4*t^8.284*y + 2*t^8.587*y + 2*t^8.697*y + t^8.89*y | t^2.339/(g1*g2) + g1*g2^3*t^2.339 + t^2.642/g2^4 + t^2.945/(g1*g2^11) + (g1*t^2.945)/g2^7 + g2^4*t^3.358 + t^3.963/(g1^2*g2^10) + t^3.963/g2^6 + (g1^2*t^3.963)/g2^2 + g2^12*t^4.073 + (g2^5*t^4.376)/g1 + g1*g2^9*t^4.376 + t^4.679/(g1^2*g2^2) + g2^2*t^4.679 + g1^2*g2^6*t^4.679 + g2^20*t^4.789 + t^4.982/(g1*g2^5) + (g1*t^4.982)/g2 + t^5.284/(g1^2*g2^12) + (3*t^5.284)/g2^8 + (g1^2*t^5.284)/g2^4 + (g2^3*t^5.697)/g1 + g1*g2^7*t^5.697 + t^5.89/(g1^2*g2^22) + t^5.89/g2^18 + (g1^2*t^5.89)/g2^14 - 2*t^6. - t^6./(g1^2*g2^4) - g1^2*g2^4*t^6. + t^6.303/(g1^3*g2^11) + (2*t^6.303)/(g1*g2^7) + (2*g1*t^6.303)/g2^3 + g1^3*g2*t^6.303 + t^6.605/(g1^2*g2^14) + (g1^2*t^6.605)/g2^6 + (g2^4*t^6.716)/g1^2 + 2*g2^8*t^6.716 + g1^2*g2^12*t^6.716 + t^6.908/(g1^3*g2^21) + t^6.908/(g1*g2^17) + (g1*t^6.908)/g2^13 + (g1^3*t^6.908)/g2^9 + t^7.018/(g1^3*g2^3) + (g2*t^7.018)/g1 + g1*g2^5*t^7.018 + g1^3*g2^9*t^7.018 + (g2^19*t^7.129)/g1 + g1*g2^23*t^7.129 + t^7.321/(g1^2*g2^6) + t^7.321/g2^2 + g1^2*g2^2*t^7.321 + g2^16*t^7.431 + t^7.624/(g1^3*g2^13) + (2*t^7.624)/(g1*g2^9) + (2*g1*t^7.624)/g2^5 + (g1^3*t^7.624)/g2 + t^7.927/(g1^4*g2^20) + t^7.927/(g1^2*g2^16) + (2*t^7.927)/g2^12 + (g1^2*t^7.927)/g2^8 + (g1^4*t^7.927)/g2^4 + (g2^2*t^8.037)/g1^2 + g1^2*g2^10*t^8.037 + g2^24*t^8.147 + t^8.229/(g1^3*g2^23) + (2*t^8.229)/(g1*g2^19) + (2*g1*t^8.229)/g2^15 + (g1^3*t^8.229)/g2^11 - (3*t^8.339)/(g1*g2) - 3*g1*g2^3*t^8.339 + g1^2*t^8.642 + t^8.642/(g1^4*g2^12) + t^8.642/(g1^2*g2^8) + t^8.642/g2^4 + g1^4*g2^4*t^8.642 + (g2^10*t^8.752)/g1^2 - g2^14*t^8.752 + g1^2*g2^18*t^8.752 + t^8.835/(g1^3*g2^33) + t^8.835/(g1*g2^29) + (g1*t^8.835)/g2^25 + (g1^3*t^8.835)/g2^21 + g2^32*t^8.863 - (3*t^8.945)/(g1*g2^11) - (3*g1*t^8.945)/g2^7 - t^4.321/(g2^2*y) - t^6.661/(g1*g2^3*y) - (g1*g2*t^6.661)/y - t^7.266/(g1*g2^13*y) - (g1*t^7.266)/(g2^9*y) + (g2^5*t^7.376)/(g1*y) + (g1*g2^9*t^7.376)/y + (g2^2*t^7.679)/y + (2*t^7.982)/(g1*g2^5*y) + (2*g1*t^7.982)/(g2*y) + t^8.284/(g1^2*g2^12*y) + (2*t^8.284)/(g2^8*y) + (g1^2*t^8.284)/(g2^4*y) + t^8.587/(g1*g2^15*y) + (g1*t^8.587)/(g2^11*y) + (g2^3*t^8.697)/(g1*y) + (g1*g2^7*t^8.697)/y + t^8.89/(g2^18*y) - (t^4.321*y)/g2^2 - (t^6.661*y)/(g1*g2^3) - g1*g2*t^6.661*y - (t^7.266*y)/(g1*g2^13) - (g1*t^7.266*y)/g2^9 + (g2^5*t^7.376*y)/g1 + g1*g2^9*t^7.376*y + g2^2*t^7.679*y + (2*t^7.982*y)/(g1*g2^5) + (2*g1*t^7.982*y)/g2 + (t^8.284*y)/(g1^2*g2^12) + (2*t^8.284*y)/g2^8 + (g1^2*t^8.284*y)/g2^4 + (t^8.587*y)/(g1*g2^15) + (g1*t^8.587*y)/g2^11 + (g2^3*t^8.697*y)/g1 + g1*g2^7*t^8.697*y + (t^8.89*y)/g2^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 48163 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.7056 | 0.8857 | 0.7967 | [M:[0.9833, 0.9833, 1.1185, 0.7796, 0.7796, 0.6778], q:[0.576, 0.4407], qb:[0.4407, 0.7796], phi:[0.4407]] | t^2.033 + 2*t^2.339 + t^2.644 + 2*t^2.95 + t^3.356 + 2*t^3.967 + 2*t^4.067 + 4*t^4.372 + 4*t^4.678 + t^4.778 + 4*t^4.983 + 5*t^5.289 + t^5.389 + 2*t^5.695 + 3*t^5.9 - 2*t^6. - t^4.322/y - t^4.322*y | detail | |
| 47146 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7056 | 0.886 | 0.7965 | [M:[0.9809, 0.9847, 1.1188, 0.7778, 0.7816, 0.6744], q:[0.5766, 0.4425], qb:[0.4387, 0.7797], phi:[0.4406]] | t^2.023 + t^2.333 + t^2.345 + t^2.644 + t^2.943 + t^2.954 + t^3.356 + t^3.954 + t^3.966 + t^4.046 + t^4.069 + t^4.357 + 2*t^4.368 + t^4.379 + 2*t^4.667 + t^4.678 + t^4.689 + t^4.781 + t^4.966 + 2*t^4.977 + t^4.988 + t^5.276 + 3*t^5.287 + t^5.299 + t^5.379 + t^5.69 + t^5.701 + t^5.885 + t^5.897 + t^5.908 + t^5.977 - 2*t^6. - t^4.322/y - t^4.322*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46238 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6675 | 0.8146 | 0.8195 | [M:[0.9667, 0.9917, 1.1204, 0.7676], q:[0.581, 0.4523], qb:[0.4273, 0.7801], phi:[0.4398]] | t^2.303 + t^2.639 + t^2.9 + t^2.975 + t^3.361 + t^3.622 + t^3.883 + t^3.958 + t^4.033 + t^4.083 + t^4.344 + t^4.419 + t^4.605 + t^4.805 + t^4.942 + t^5.203 + 2*t^5.278 + t^5.664 + t^5.8 + t^5.875 + t^5.95 - 2*t^6. - t^4.319/y - t^4.319*y | detail |