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 |
|---|---|---|---|---|---|---|---|---|---|
| 50878 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7261 | 0.8959 | 0.8105 | [M:[1.0, 1.0, 1.0, 1.0866, 0.8268, 0.8268, 0.8268], q:[0.4134, 0.5866], qb:[0.5866, 0.5866], phi:[0.4567]] | [M:[[0, 0], [-2, 2], [2, -2], [2, 2], [-2, -6], [-6, -2], [-4, -4]], q:[[-2, -2], [2, 2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$ | ${}M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | -4 | 3*t^2.481 + 3*t^3. + t^3.26 + t^3.851 + 3*t^4.37 + 6*t^4.89 + 6*t^4.961 + 6*t^5.481 + 3*t^5.74 - 4*t^6. + 3*t^6.26 + 3*t^6.331 - 3*t^6.519 + 9*t^6.851 + 15*t^7.37 + 10*t^7.442 + t^7.701 + 6*t^7.89 + 9*t^7.961 + 9*t^8.221 - 3*t^8.409 - 15*t^8.481 + 12*t^8.74 + 6*t^8.812 - t^4.37/y - (3*t^6.851)/y + (3*t^7.89)/y + (3*t^7.961)/y + (9*t^8.481)/y + (3*t^8.74)/y - t^4.37*y - 3*t^6.851*y + 3*t^7.89*y + 3*t^7.961*y + 9*t^8.481*y + 3*t^8.74*y | t^2.481/(g1^2*g2^6) + t^2.481/(g1^4*g2^4) + t^2.481/(g1^6*g2^2) + t^3. + (g1^2*t^3.)/g2^2 + (g2^2*t^3.)/g1^2 + g1^2*g2^2*t^3.26 + t^3.851/(g1^5*g2^5) + (g1*t^4.37)/g2^3 + t^4.37/(g1*g2) + (g2*t^4.37)/g1^3 + (g1^7*t^4.89)/g2 + g1^5*g2*t^4.89 + 2*g1^3*g2^3*t^4.89 + g1*g2^5*t^4.89 + (g2^7*t^4.89)/g1 + t^4.961/(g1^4*g2^12) + t^4.961/(g1^6*g2^10) + (2*t^4.961)/(g1^8*g2^8) + t^4.961/(g1^10*g2^6) + t^4.961/(g1^12*g2^4) + t^5.481/g1^8 + t^5.481/g2^8 + t^5.481/(g1^2*g2^6) + (2*t^5.481)/(g1^4*g2^4) + t^5.481/(g1^6*g2^2) + t^5.74/g1^4 + t^5.74/g2^4 + t^5.74/(g1^2*g2^2) - 2*t^6. - (g1^2*t^6.)/g2^2 - (g2^2*t^6.)/g1^2 + g1^4*t^6.26 + g1^2*g2^2*t^6.26 + g2^4*t^6.26 + t^6.331/(g1^7*g2^11) + t^6.331/(g1^9*g2^9) + t^6.331/(g1^11*g2^7) - g1^6*g2^2*t^6.519 - g1^4*g2^4*t^6.519 - g1^2*g2^6*t^6.519 + t^6.851/(g1*g2^9) + (2*t^6.851)/(g1^3*g2^7) + (3*t^6.851)/(g1^5*g2^5) + (2*t^6.851)/(g1^7*g2^3) + t^6.851/(g1^9*g2) + (g1^5*t^7.37)/g2^7 + (2*g1^3*t^7.37)/g2^5 + (3*g1*t^7.37)/g2^3 + (3*t^7.37)/(g1*g2) + (3*g2*t^7.37)/g1^3 + (2*g2^3*t^7.37)/g1^5 + (g2^5*t^7.37)/g1^7 + t^7.442/(g1^6*g2^18) + t^7.442/(g1^8*g2^16) + (2*t^7.442)/(g1^10*g2^14) + (2*t^7.442)/(g1^12*g2^12) + (2*t^7.442)/(g1^14*g2^10) + t^7.442/(g1^16*g2^8) + t^7.442/(g1^18*g2^6) + t^7.701/(g1^10*g2^10) + (g1^9*t^7.89)/g2^3 + (g1^7*t^7.89)/g2 + g1^5*g2*t^7.89 + g1*g2^5*t^7.89 + (g2^7*t^7.89)/g1 + (g2^9*t^7.89)/g1^3 + t^7.961/(g1^2*g2^14) + t^7.961/(g1^4*g2^12) + (2*t^7.961)/(g1^6*g2^10) + t^7.961/(g1^8*g2^8) + (2*t^7.961)/(g1^10*g2^6) + t^7.961/(g1^12*g2^4) + t^7.961/(g1^14*g2^2) + t^8.221/(g1^2*g2^10) + (2*t^8.221)/(g1^4*g2^8) + (3*t^8.221)/(g1^6*g2^6) + (2*t^8.221)/(g1^8*g2^4) + t^8.221/(g1^10*g2^2) - g1^9*g2^5*t^8.409 - g1^7*g2^7*t^8.409 - g1^5*g2^9*t^8.409 - t^8.481/g1^8 - t^8.481/g2^8 - (4*t^8.481)/(g1^2*g2^6) - (5*t^8.481)/(g1^4*g2^4) - (4*t^8.481)/(g1^6*g2^2) + (2*t^8.74)/g1^4 + (2*g1^2*t^8.74)/g2^6 + (2*t^8.74)/g2^4 + (4*t^8.74)/(g1^2*g2^2) + (2*g2^2*t^8.74)/g1^6 + t^8.812/(g1^9*g2^17) + t^8.812/(g1^11*g2^15) + (2*t^8.812)/(g1^13*g2^13) + t^8.812/(g1^15*g2^11) + t^8.812/(g1^17*g2^9) - t^4.37/(g1*g2*y) - t^6.851/(g1^3*g2^7*y) - t^6.851/(g1^5*g2^5*y) - t^6.851/(g1^7*g2^3*y) + (g1^5*g2*t^7.89)/y + (g1^3*g2^3*t^7.89)/y + (g1*g2^5*t^7.89)/y + t^7.961/(g1^6*g2^10*y) + t^7.961/(g1^8*g2^8*y) + t^7.961/(g1^10*g2^6*y) + t^8.481/(g1^8*y) + t^8.481/(g2^8*y) + (2*t^8.481)/(g1^2*g2^6*y) + (3*t^8.481)/(g1^4*g2^4*y) + (2*t^8.481)/(g1^6*g2^2*y) + t^8.74/(g1^4*y) + t^8.74/(g2^4*y) + t^8.74/(g1^2*g2^2*y) - (t^4.37*y)/(g1*g2) - (t^6.851*y)/(g1^3*g2^7) - (t^6.851*y)/(g1^5*g2^5) - (t^6.851*y)/(g1^7*g2^3) + g1^5*g2*t^7.89*y + g1^3*g2^3*t^7.89*y + g1*g2^5*t^7.89*y + (t^7.961*y)/(g1^6*g2^10) + (t^7.961*y)/(g1^8*g2^8) + (t^7.961*y)/(g1^10*g2^6) + (t^8.481*y)/g1^8 + (t^8.481*y)/g2^8 + (2*t^8.481*y)/(g1^2*g2^6) + (3*t^8.481*y)/(g1^4*g2^4) + (2*t^8.481*y)/(g1^6*g2^2) + (t^8.74*y)/g1^4 + (t^8.74*y)/g2^4 + (t^8.74*y)/(g1^2*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 56160 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{8}$ | 0.7274 | 0.8989 | 0.8092 | [M:[1.0, 1.0276, 0.9724, 1.0866, 0.7993, 0.8544, 0.8268, 0.9724], q:[0.4134, 0.5866], qb:[0.559, 0.6142], phi:[0.4567]] | t^2.398 + t^2.481 + t^2.563 + 2*t^2.917 + t^3. + t^3.26 + t^3.851 + t^4.287 + t^4.37 + t^4.453 + t^4.724 + t^4.796 + t^4.807 + t^4.878 + 2*t^4.89 + 2*t^4.961 + t^4.972 + t^5.044 + t^5.055 + t^5.127 + 2*t^5.315 + 2*t^5.398 + 2*t^5.481 + t^5.658 + t^5.74 + t^5.823 + 2*t^5.834 - 3*t^6. - t^4.37/y - t^4.37*y | detail | |
| 56161 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.7465 | 0.934 | 0.7992 | [M:[1.0, 1.0, 1.0, 1.0817, 0.8367, 0.8367, 0.8367, 0.7042], q:[0.4183, 0.5817], qb:[0.5817, 0.5817], phi:[0.4592]] | t^2.112 + 3*t^2.51 + 3*t^3. + t^3.245 + t^4.225 + 3*t^4.378 + 3*t^4.622 + 6*t^4.867 + 6*t^5.02 + 3*t^5.112 + t^5.357 + 6*t^5.51 + 3*t^5.755 - 4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47015 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.7124 | 0.8709 | 0.818 | [M:[1.0, 1.0, 1.0, 1.0712, 0.8576, 0.8576], q:[0.4288, 0.5712], qb:[0.5712, 0.5712], phi:[0.4644]] | 2*t^2.573 + 3*t^3. + t^3.214 + t^3.427 + t^3.966 + 3*t^4.393 + 6*t^4.82 + 3*t^5.146 + 3*t^5.573 + 2*t^5.786 - 2*t^6. - t^4.393/y - t^4.393*y | detail |