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 |
---|---|---|---|---|---|---|---|---|---|
1396 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7291 | 0.9105 | 0.8008 | [M:[1.0, 0.9026, 0.8539, 1.0487, 1.0, 0.6704], q:[0.573, 0.427], qb:[0.573, 0.5243], phi:[0.4757]] | [M:[[0], [-4], [-6], [2], [0], [7]], q:[[3], [-3]], qb:[[3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}M_{1}M_{5}$ | -1 | t^2.011 + t^2.562 + t^2.708 + t^2.854 + 2*t^3. + t^3.146 + t^3.292 + t^4.022 + t^4.281 + 2*t^4.427 + 2*t^4.573 + 3*t^4.719 + 4*t^4.865 + 2*t^5.011 + t^5.124 + t^5.157 + t^5.27 + t^5.303 + 2*t^5.416 + t^5.562 + 3*t^5.708 + 2*t^5.854 - t^6. + t^6.034 + t^6.146 + 2*t^6.292 + t^6.438 + 3*t^6.584 + 3*t^6.73 + t^6.843 + 4*t^6.876 + t^6.989 + 2*t^7.022 + 3*t^7.135 + t^7.168 + 4*t^7.281 + t^7.315 + 6*t^7.427 + 5*t^7.573 + t^7.685 + 6*t^7.719 + t^7.832 + 5*t^7.865 + 2*t^7.978 + t^8.045 + 2*t^8.124 + 2*t^8.157 + 2*t^8.27 + 2*t^8.303 + 2*t^8.416 + t^8.449 - t^8.562 + 3*t^8.595 - 2*t^8.708 + 3*t^8.741 - t^8.854 + 4*t^8.888 - t^4.427/y - t^6.438/y - t^6.989/y - t^7.135/y + t^7.573/y + (2*t^7.719)/y + (2*t^7.865)/y + (2*t^8.011)/y + t^8.157/y + t^8.27/y + t^8.303/y + (2*t^8.416)/y - t^8.449/y + (3*t^8.562)/y + (3*t^8.708)/y + (4*t^8.854)/y - t^4.427*y - t^6.438*y - t^6.989*y - t^7.135*y + t^7.573*y + 2*t^7.719*y + 2*t^7.865*y + 2*t^8.011*y + t^8.157*y + t^8.27*y + t^8.303*y + 2*t^8.416*y - t^8.449*y + 3*t^8.562*y + 3*t^8.708*y + 4*t^8.854*y | g1^7*t^2.011 + t^2.562/g1^6 + t^2.708/g1^4 + t^2.854/g1^2 + 2*t^3. + g1^2*t^3.146 + g1^4*t^3.292 + g1^14*t^4.022 + t^4.281/g1^3 + (2*t^4.427)/g1 + 2*g1*t^4.573 + 3*g1^3*t^4.719 + 4*g1^5*t^4.865 + 2*g1^7*t^5.011 + t^5.124/g1^12 + g1^9*t^5.157 + t^5.27/g1^10 + g1^11*t^5.303 + (2*t^5.416)/g1^8 + t^5.562/g1^6 + (3*t^5.708)/g1^4 + (2*t^5.854)/g1^2 - t^6. + g1^21*t^6.034 + g1^2*t^6.146 + 2*g1^4*t^6.292 + g1^6*t^6.438 + 3*g1^8*t^6.584 + 3*g1^10*t^6.73 + t^6.843/g1^9 + 4*g1^12*t^6.876 + t^6.989/g1^7 + 2*g1^14*t^7.022 + (3*t^7.135)/g1^5 + g1^16*t^7.168 + (4*t^7.281)/g1^3 + g1^18*t^7.315 + (6*t^7.427)/g1 + 5*g1*t^7.573 + t^7.685/g1^18 + 6*g1^3*t^7.719 + t^7.832/g1^16 + 5*g1^5*t^7.865 + (2*t^7.978)/g1^14 + g1^28*t^8.045 + (2*t^8.124)/g1^12 + 2*g1^9*t^8.157 + (2*t^8.27)/g1^10 + 2*g1^11*t^8.303 + (2*t^8.416)/g1^8 + g1^13*t^8.449 - t^8.562/g1^6 + 3*g1^15*t^8.595 - (2*t^8.708)/g1^4 + 3*g1^17*t^8.741 - t^8.854/g1^2 + 4*g1^19*t^8.888 - t^4.427/(g1*y) - (g1^6*t^6.438)/y - t^6.989/(g1^7*y) - t^7.135/(g1^5*y) + (g1*t^7.573)/y + (2*g1^3*t^7.719)/y + (2*g1^5*t^7.865)/y + (2*g1^7*t^8.011)/y + (g1^9*t^8.157)/y + t^8.27/(g1^10*y) + (g1^11*t^8.303)/y + (2*t^8.416)/(g1^8*y) - (g1^13*t^8.449)/y + (3*t^8.562)/(g1^6*y) + (3*t^8.708)/(g1^4*y) + (4*t^8.854)/(g1^2*y) - (t^4.427*y)/g1 - g1^6*t^6.438*y - (t^6.989*y)/g1^7 - (t^7.135*y)/g1^5 + g1*t^7.573*y + 2*g1^3*t^7.719*y + 2*g1^5*t^7.865*y + 2*g1^7*t^8.011*y + g1^9*t^8.157*y + (t^8.27*y)/g1^10 + g1^11*t^8.303*y + (2*t^8.416*y)/g1^8 - g1^13*t^8.449*y + (3*t^8.562*y)/g1^6 + (3*t^8.708*y)/g1^4 + (4*t^8.854*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 |
---|---|---|---|---|---|---|---|---|
2460 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.7338 | 0.918 | 0.7994 | [M:[1.0, 0.8941, 0.8412, 1.0529, 1.0, 0.6853, 0.9471], q:[0.5794, 0.4206], qb:[0.5794, 0.5265], phi:[0.4735]] | t^2.056 + t^2.523 + t^2.682 + 2*t^2.841 + 2*t^3. + t^3.318 + t^4.112 + t^4.262 + 2*t^4.421 + 2*t^4.579 + 3*t^4.738 + 5*t^4.897 + t^5.047 + 2*t^5.056 + t^5.206 + 3*t^5.365 + t^5.374 + 2*t^5.523 + 4*t^5.682 + 3*t^5.841 - 2*t^6. - t^4.421/y - t^4.421*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 |
---|---|---|---|---|---|---|---|---|---|
912 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.7083 | 0.8692 | 0.8149 | [M:[1.0, 0.9016, 0.8525, 1.0492, 1.0], q:[0.5738, 0.4262], qb:[0.5738, 0.5246], phi:[0.4754]] | t^2.557 + t^2.705 + t^2.852 + 2*t^3. + t^3.148 + t^3.295 + t^3.984 + t^4.279 + 2*t^4.426 + t^4.574 + 2*t^4.721 + 3*t^4.869 + t^5.115 + t^5.262 + 2*t^5.41 + t^5.557 + 3*t^5.705 + 2*t^5.852 - t^6. - t^4.426/y - t^4.426*y | detail |