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 |
---|---|---|---|---|---|---|---|---|---|
8399 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1^3q_2^2$ + $ M_2\phi_1q_1^2$ | 1.1682 | 1.32 | 0.885 | [X:[1.6428], M:[0.7143, 0.7143], q:[0.5535, 0.375], qb:[], phi:[0.1786]] | [X:[[4]], M:[[-8], [-8]], q:[[5], [7]], qb:[], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_2$, $ \phi_1^4$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1\phi_1^4$, $ M_2\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ M_1q_1q_2$, $ M_2q_1q_2$, $ \phi_1^4q_1q_2$, $ M_1\phi_1q_2^2$, $ M_2\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ X_1$, $ M_1\phi_1q_1q_2$, $ M_2\phi_1q_1q_2$, $ q_1^2q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1^2q_2^4$ | $M_1\phi_1^2q_1q_2$, $ M_2\phi_1^2q_1q_2$ | 0 | 3*t^2.14 + 2*t^2.79 + t^3.32 + t^3.86 + 6*t^4.29 + t^4.39 + 8*t^4.93 + 2*t^5.46 + 3*t^5.57 + 2*t^6.11 + 10*t^6.43 + 3*t^6.64 + 15*t^7.07 + 3*t^7.18 + t^7.61 + 13*t^7.71 - 3*t^8.14 + 6*t^8.25 + 4*t^8.36 + 15*t^8.57 - 7*t^8.68 + t^8.79 + 3*t^8.89 + t^8.14/y^2 - (3*t^8.68)/y^2 - t^3.54/y - t^4.61/y - (3*t^5.68)/y - (2*t^6.32)/y - (3*t^6.75)/y - t^6.86/y + (3*t^7.29)/y - t^7.39/y - (6*t^7.82)/y + (5*t^7.93)/y - (2*t^8.46)/y + t^8.57/y - (6*t^8.89)/y - t^3.54*y - t^4.61*y - 3*t^5.68*y - 2*t^6.32*y - 3*t^6.75*y - t^6.86*y + 3*t^7.29*y - t^7.39*y - 6*t^7.82*y + 5*t^7.93*y - 2*t^8.46*y + t^8.57*y - 6*t^8.89*y + t^8.14*y^2 - 3*t^8.68*y^2 | (3*t^2.14)/g1^8 + 2*g1^12*t^2.79 + g1^10*t^3.32 + g1^8*t^3.86 + (6*t^4.29)/g1^16 + g1^6*t^4.39 + 8*g1^4*t^4.93 + 2*g1^2*t^5.46 + 3*g1^24*t^5.57 + 2*g1^22*t^6.11 + (10*t^6.43)/g1^24 + 3*g1^20*t^6.64 + (15*t^7.07)/g1^4 + 3*g1^18*t^7.18 + t^7.61/g1^6 + 13*g1^16*t^7.71 - (3*t^8.14)/g1^8 + 6*g1^14*t^8.25 + 4*g1^36*t^8.36 + (15*t^8.57)/g1^32 - (7*t^8.68)/g1^10 + g1^12*t^8.79 + 3*g1^34*t^8.89 + t^8.14/(g1^8*y^2) - (3*t^8.68)/(g1^10*y^2) - t^3.54/(g1^2*y) - t^4.61/(g1^6*y) - (3*t^5.68)/(g1^10*y) - (2*g1^10*t^6.32)/y - (3*t^6.75)/(g1^14*y) - (g1^8*t^6.86)/y + (3*t^7.29)/(g1^16*y) - (g1^6*t^7.39)/y - (6*t^7.82)/(g1^18*y) + (5*g1^4*t^7.93)/y - (2*g1^2*t^8.46)/y + (g1^24*t^8.57)/y - (6*t^8.89)/(g1^22*y) - (t^3.54*y)/g1^2 - (t^4.61*y)/g1^6 - (3*t^5.68*y)/g1^10 - 2*g1^10*t^6.32*y - (3*t^6.75*y)/g1^14 - g1^8*t^6.86*y + (3*t^7.29*y)/g1^16 - g1^6*t^7.39*y - (6*t^7.82*y)/g1^18 + 5*g1^4*t^7.93*y - 2*g1^2*t^8.46*y + g1^24*t^8.57*y - (6*t^8.89*y)/g1^22 + (t^8.14*y^2)/g1^8 - (3*t^8.68*y^2)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
8596 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1^3q_2^2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ | 1.1885 | 1.3579 | 0.8752 | [X:[1.6448], M:[0.7105, 0.7105, 0.7105], q:[0.556, 0.3783], qb:[], phi:[0.1776]] | 4*t^2.13 + 2*t^2.8 + t^3.34 + 10*t^4.26 + t^4.4 + 10*t^4.93 + 3*t^5.47 + 3*t^5.61 - 3*t^6. - t^3.53/y - t^4.6/y - (4*t^5.66)/y - t^3.53*y - t^4.6*y - 4*t^5.66*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
8195 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1\phi_1^3q_2^2$ | 1.148 | 1.2828 | 0.8949 | [X:[1.6406], M:[0.7189], q:[0.5507, 0.371], qb:[], phi:[0.1797]] | 2*t^2.16 + 2*t^2.77 + t^3.3 + 2*t^3.84 + 3*t^4.31 + t^4.38 + 6*t^4.92 + t^5.46 + 3*t^5.53 + t^6. - t^3.54/y - t^4.62/y - (2*t^5.7)/y - t^3.54*y - t^4.62*y - 2*t^5.7*y | detail |