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 |
|---|---|---|---|---|---|---|---|---|---|
| 1799 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.599 | 0.7629 | 0.7852 | [M:[1.0, 0.8383, 1.1617, 0.6765], q:[0.2298, 0.7702], qb:[0.6085, 0.5533], phi:[0.4596]] | [M:[[0], [-8], [8], [-16]], q:[[-1], [1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | t^2.03 + t^2.349 + t^2.515 + 2*t^2.757 + t^3. + t^3.485 + t^3.728 + t^3.893 + t^4.059 + t^4.136 + t^4.379 + t^4.544 + 2*t^4.698 + 2*t^4.787 + t^4.864 + 2*t^5.03 + 2*t^5.107 + 2*t^5.272 + t^5.349 + 5*t^5.515 + 2*t^5.757 + t^5.923 - 2*t^6. + t^6.077 + t^6.089 + 2*t^6.243 + t^6.408 + 2*t^6.485 + t^6.574 + 2*t^6.651 + t^6.728 + 2*t^6.816 + 2*t^6.893 - t^6.97 + 2*t^7.047 + 2*t^7.059 + t^7.136 + t^7.213 + 2*t^7.302 + 4*t^7.456 + 5*t^7.544 + t^7.621 + t^7.698 + 4*t^7.787 + 3*t^7.864 - t^7.941 + t^7.953 + 2*t^8.03 + t^8.107 + t^8.118 + t^8.184 + 7*t^8.272 - 3*t^8.349 + 2*t^8.426 + t^8.438 + t^8.603 + 2*t^8.68 - 5*t^8.757 + 2*t^8.834 + 2*t^8.846 + t^8.923 - t^4.379/y - t^6.408/y - t^7.136/y + t^7.379/y + t^7.544/y + t^7.621/y + (2*t^7.787)/y + t^7.864/y + t^8.03/y + (2*t^8.107)/y + (2*t^8.272)/y + (2*t^8.349)/y - t^8.438/y + (3*t^8.515)/y + (3*t^8.757)/y + t^8.834/y + t^8.923/y - t^4.379*y - t^6.408*y - t^7.136*y + t^7.379*y + t^7.544*y + t^7.621*y + 2*t^7.787*y + t^7.864*y + t^8.03*y + 2*t^8.107*y + 2*t^8.272*y + 2*t^8.349*y - t^8.438*y + 3*t^8.515*y + 3*t^8.757*y + t^8.834*y + t^8.923*y | t^2.03/g1^16 + g1^14*t^2.349 + t^2.515/g1^8 + (2*t^2.757)/g1^4 + t^3. + g1^8*t^3.485 + g1^12*t^3.728 + t^3.893/g1^10 + t^4.059/g1^32 + t^4.136/g1^6 + t^4.379/g1^2 + t^4.544/g1^24 + 2*g1^28*t^4.698 + (2*t^4.787)/g1^20 + g1^6*t^4.864 + (2*t^5.03)/g1^16 + 2*g1^10*t^5.107 + (2*t^5.272)/g1^12 + g1^14*t^5.349 + (5*t^5.515)/g1^8 + (2*t^5.757)/g1^4 + t^5.923/g1^26 - 2*t^6. + g1^26*t^6.077 + t^6.089/g1^48 + 2*g1^4*t^6.243 + t^6.408/g1^18 + 2*g1^8*t^6.485 + t^6.574/g1^40 + (2*t^6.651)/g1^14 + g1^12*t^6.728 + (2*t^6.816)/g1^36 + (2*t^6.893)/g1^10 - g1^16*t^6.97 + 2*g1^42*t^7.047 + (2*t^7.059)/g1^32 + t^7.136/g1^6 + g1^20*t^7.213 + (2*t^7.302)/g1^28 + 4*g1^24*t^7.456 + (5*t^7.544)/g1^24 + g1^2*t^7.621 + g1^28*t^7.698 + (4*t^7.787)/g1^20 + 3*g1^6*t^7.864 - g1^32*t^7.941 + t^7.953/g1^42 + (2*t^8.03)/g1^16 + g1^10*t^8.107 + t^8.118/g1^64 + g1^36*t^8.184 + (7*t^8.272)/g1^12 - 3*g1^14*t^8.349 + 2*g1^40*t^8.426 + t^8.438/g1^34 + t^8.603/g1^56 + (2*t^8.68)/g1^30 - (5*t^8.757)/g1^4 + 2*g1^22*t^8.834 + (2*t^8.846)/g1^52 + t^8.923/g1^26 - t^4.379/(g1^2*y) - t^6.408/(g1^18*y) - t^7.136/(g1^6*y) + t^7.379/(g1^2*y) + t^7.544/(g1^24*y) + (g1^2*t^7.621)/y + (2*t^7.787)/(g1^20*y) + (g1^6*t^7.864)/y + t^8.03/(g1^16*y) + (2*g1^10*t^8.107)/y + (2*t^8.272)/(g1^12*y) + (2*g1^14*t^8.349)/y - t^8.438/(g1^34*y) + (3*t^8.515)/(g1^8*y) + (3*t^8.757)/(g1^4*y) + (g1^22*t^8.834)/y + t^8.923/(g1^26*y) - (t^4.379*y)/g1^2 - (t^6.408*y)/g1^18 - (t^7.136*y)/g1^6 + (t^7.379*y)/g1^2 + (t^7.544*y)/g1^24 + g1^2*t^7.621*y + (2*t^7.787*y)/g1^20 + g1^6*t^7.864*y + (t^8.03*y)/g1^16 + 2*g1^10*t^8.107*y + (2*t^8.272*y)/g1^12 + 2*g1^14*t^8.349*y - (t^8.438*y)/g1^34 + (3*t^8.515*y)/g1^8 + (3*t^8.757*y)/g1^4 + g1^22*t^8.834*y + (t^8.923*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2813 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.5988 | 0.7622 | 0.7855 | [M:[1.0, 0.8462, 1.1538, 0.6923], q:[0.2308, 0.7692], qb:[0.6154, 0.5385], phi:[0.4615]] | t^2.077 + t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + t^3.692 + t^3.923 + 2*t^4.154 + t^4.385 + 3*t^4.615 + 3*t^4.846 + 4*t^5.077 + 3*t^5.308 + 5*t^5.538 + 2*t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 2631/4394, c: 13397/17576, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, q1: 3/13, q2: 10/13, qb1: 8/13, qb2: 7/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 363 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.7027 | 0.862 | 0.8151 | [M:[1.0, 0.9335, 1.0665, 0.867], q:[0.4519, 0.5481], qb:[0.4817, 0.5848], phi:[0.4834]] | t^2.601 + t^2.801 + t^2.9 + t^3. + t^3.089 + t^3.11 + t^3.199 + t^4.161 + t^4.251 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.739 + t^4.849 + t^4.959 + t^5.202 + t^5.402 + t^5.501 + t^5.601 + t^5.701 + 2*t^5.801 + t^5.9 + t^5.99 - 2*t^6. - t^4.45/y - t^4.45*y | detail |