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 |
---|---|---|---|---|---|---|---|---|---|
55308 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7683 | 0.9711 | 0.7912 | [M:[0.7551, 0.7551, 1.0, 1.0, 0.8775, 0.8775, 0.6837], q:[0.6837, 0.5612], qb:[0.5612, 0.4388], phi:[0.4388]] | [M:[[1, 5], [-1, 3], [-1, -1], [1, 1], [0, 2], [0, 2], [0, -3]], q:[[0, -3], [-1, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$ | ${}M_{3}^{2}$, ${ }M_{4}^{2}$ | -3 | t^2.051 + 2*t^2.265 + 3*t^2.633 + 2*t^3. + t^4.102 + 4*t^4.316 + 3*t^4.53 + 7*t^4.684 + 6*t^4.898 + 4*t^5.051 + 9*t^5.265 + t^5.419 + 2*t^5.633 - 3*t^6. + t^6.153 + 6*t^6.581 + 5*t^6.735 + 4*t^6.796 + 16*t^6.949 + 4*t^7.102 + 9*t^7.163 + 22*t^7.316 + t^7.47 + 16*t^7.53 + 8*t^7.684 + 12*t^7.898 - 6*t^8.051 + t^8.204 - 6*t^8.265 - 4*t^8.419 - 14*t^8.633 + 3*t^8.786 + 8*t^8.847 - t^4.316/y - t^6.367/y - (2*t^6.581)/y - (3*t^6.949)/y + (2*t^7.316)/y + t^7.53/y + (6*t^7.684)/y + (6*t^7.898)/y + (4*t^8.051)/y + (8*t^8.265)/y - t^8.419/y + (4*t^8.633)/y - (3*t^8.847)/y - t^4.316*y - t^6.367*y - 2*t^6.581*y - 3*t^6.949*y + 2*t^7.316*y + t^7.53*y + 6*t^7.684*y + 6*t^7.898*y + 4*t^8.051*y + 8*t^8.265*y - t^8.419*y + 4*t^8.633*y - 3*t^8.847*y | t^2.051/g2^3 + (g2^3*t^2.265)/g1 + g1*g2^5*t^2.265 + 3*g2^2*t^2.633 + t^3./(g1*g2) + g1*g2*t^3. + t^4.102/g2^6 + (2*t^4.316)/g1 + 2*g1*g2^2*t^4.316 + (g2^6*t^4.53)/g1^2 + g2^8*t^4.53 + g1^2*g2^10*t^4.53 + t^4.684/(g1^2*g2^3) + (5*t^4.684)/g2 + g1^2*g2*t^4.684 + (3*g2^5*t^4.898)/g1 + 3*g1*g2^7*t^4.898 + (2*t^5.051)/(g1*g2^4) + (2*g1*t^5.051)/g2^2 + (g2^2*t^5.265)/g1^2 + 7*g2^4*t^5.265 + g1^2*g2^6*t^5.265 + t^5.419/g2^5 + (g2*t^5.633)/g1 + g1*g2^3*t^5.633 - 3*t^6. + t^6.153/g2^9 + (2*g2^3*t^6.581)/g1^2 + 2*g2^5*t^6.581 + 2*g1^2*g2^7*t^6.581 + t^6.735/(g1^2*g2^6) + (3*t^6.735)/g2^4 + (g1^2*t^6.735)/g2^2 + (g2^9*t^6.796)/g1^3 + (g2^11*t^6.796)/g1 + g1*g2^13*t^6.796 + g1^3*g2^15*t^6.796 + t^6.949/g1^3 + (7*g2^2*t^6.949)/g1 + 7*g1*g2^4*t^6.949 + g1^3*g2^6*t^6.949 + (2*t^7.102)/(g1*g2^7) + (2*g1*t^7.102)/g2^5 + (3*g2^8*t^7.163)/g1^2 + 3*g2^10*t^7.163 + 3*g1^2*g2^12*t^7.163 + (5*t^7.316)/(g1^2*g2) + 12*g2*t^7.316 + 5*g1^2*g2^3*t^7.316 + t^7.47/g2^8 + (g2^5*t^7.53)/g1^3 + (7*g2^7*t^7.53)/g1 + 7*g1*g2^9*t^7.53 + g1^3*g2^11*t^7.53 + 3*g1*t^7.684 + t^7.684/(g1^3*g2^4) + (3*t^7.684)/(g1*g2^2) + g1^3*g2^2*t^7.684 + (g2^4*t^7.898)/g1^2 + 10*g2^6*t^7.898 + g1^2*g2^8*t^7.898 - t^8.051/(g1^2*g2^5) - (4*t^8.051)/g2^3 - (g1^2*t^8.051)/g2 + t^8.204/g2^12 - (3*g2^3*t^8.265)/g1 - 3*g1*g2^5*t^8.265 - (2*t^8.419)/(g1*g2^6) - (2*g1*t^8.419)/g2^4 - t^8.633/g1^2 - 12*g2^2*t^8.633 - g1^2*g2^4*t^8.633 + t^8.786/(g1^2*g2^9) + t^8.786/g2^7 + (g1^2*t^8.786)/g2^5 + (2*g2^6*t^8.847)/g1^3 + (2*g2^8*t^8.847)/g1 + 2*g1*g2^10*t^8.847 + 2*g1^3*g2^12*t^8.847 - (g2*t^4.316)/y - t^6.367/(g2^2*y) - (g2^4*t^6.581)/(g1*y) - (g1*g2^6*t^6.581)/y - (3*g2^3*t^6.949)/y + t^7.316/(g1*y) + (g1*g2^2*t^7.316)/y + (g2^8*t^7.53)/y + (6*t^7.684)/(g2*y) + (3*g2^5*t^7.898)/(g1*y) + (3*g1*g2^7*t^7.898)/y + (2*t^8.051)/(g1*g2^4*y) + (2*g1*t^8.051)/(g2^2*y) + (g2^2*t^8.265)/(g1^2*y) + (6*g2^4*t^8.265)/y + (g1^2*g2^6*t^8.265)/y - t^8.419/(g2^5*y) + (2*g2*t^8.633)/(g1*y) + (2*g1*g2^3*t^8.633)/y - (g2^7*t^8.847)/(g1^2*y) - (g2^9*t^8.847)/y - (g1^2*g2^11*t^8.847)/y - g2*t^4.316*y - (t^6.367*y)/g2^2 - (g2^4*t^6.581*y)/g1 - g1*g2^6*t^6.581*y - 3*g2^3*t^6.949*y + (t^7.316*y)/g1 + g1*g2^2*t^7.316*y + g2^8*t^7.53*y + (6*t^7.684*y)/g2 + (3*g2^5*t^7.898*y)/g1 + 3*g1*g2^7*t^7.898*y + (2*t^8.051*y)/(g1*g2^4) + (2*g1*t^8.051*y)/g2^2 + (g2^2*t^8.265*y)/g1^2 + 6*g2^4*t^8.265*y + g1^2*g2^6*t^8.265*y - (t^8.419*y)/g2^5 + (2*g2*t^8.633*y)/g1 + 2*g1*g2^3*t^8.633*y - (g2^7*t^8.847*y)/g1^2 - g2^9*t^8.847*y - g1^2*g2^11*t^8.847*y |
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
47033 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7476 | 0.931 | 0.803 | [M:[0.7516, 0.7516, 1.0, 1.0, 0.8758, 0.8758], q:[0.6863, 0.5621], qb:[0.5621, 0.4379], phi:[0.4379]] | 2*t^2.255 + 3*t^2.627 + 2*t^3. + t^3.941 + 2*t^4.314 + 3*t^4.51 + 4*t^4.686 + 6*t^4.882 + 2*t^5.059 + 9*t^5.255 + t^5.432 + 2*t^5.627 - 3*t^6. - t^4.314/y - t^4.314*y | detail |