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 |
---|---|---|---|---|---|---|---|---|---|
45086 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ q_2^4$ | 1.7197 | 1.8009 | 0.9549 | [X:[1.4], M:[0.8], q:[0.6, 0.5], qb:[], phi:[0.3]] | [X:[[0]], M:[[0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 55029/32000, c: 57629/32000, X1: 7/5, M1: 4/5, q1: 3/5, q2: 1/2, phi1: 3/10} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ q_2^2$, $ \phi_1^2q_2$, $ q_1q_2$, $ \phi_1^4$, $ q_1^2$, $ \phi_1q_1q_2$, $ X_1$, $ M_1^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$, $ M_1q_2^2$, $ M_1q_1q_2$ | $\phi_1^3q_1q_2$ | 1 | t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 2*t^4.2 + 2*t^4.8 + t^5.1 + 2*t^5.4 + t^5.7 + t^6. + 6*t^6.6 + 3*t^6.9 + 6*t^7.2 + 4*t^7.5 + 6*t^7.8 + 3*t^8.1 + 6*t^8.4 + 2*t^8.7 - t^3.9/y - t^5.4/y - (2*t^5.7)/y - t^6.3/y - t^6.9/y - (2*t^7.2)/y - (2*t^7.5)/y - t^7.8/y - (2*t^8.1)/y + t^8.4/y - (3*t^8.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y - t^6.3*y - t^6.9*y - 2*t^7.2*y - 2*t^7.5*y - t^7.8*y - 2*t^8.1*y + t^8.4*y - 3*t^8.7*y | t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 2*t^4.2 + 2*t^4.8 + t^5.1 + 2*t^5.4 + t^5.7 + t^6. + 6*t^6.6 + 3*t^6.9 + 6*t^7.2 + 4*t^7.5 + 6*t^7.8 + 3*t^8.1 + 6*t^8.4 + 2*t^8.7 - t^3.9/y - t^5.4/y - (2*t^5.7)/y - t^6.3/y - t^6.9/y - (2*t^7.2)/y - (2*t^7.5)/y - t^7.8/y - (2*t^8.1)/y + t^8.4/y - (3*t^8.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y - t^6.3*y - t^6.9*y - 2*t^7.2*y - 2*t^7.5*y - t^7.8*y - 2*t^8.1*y + t^8.4*y - 3*t^8.7*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 |
---|---|---|---|---|---|---|---|---|
45173 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ + $ q_2^4$ + $ M_2\phi_1^4$ | 1.7362 | 1.8299 | 0.9488 | [X:[1.4], M:[0.8, 0.8], q:[0.6, 0.5], qb:[], phi:[0.3]] | 2*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + 2*t^4.2 + 4*t^4.8 + t^5.1 + 3*t^5.4 + 3*t^5.7 + t^6. - t^3.9/y - t^5.4/y - (2*t^5.7)/y - t^3.9*y - t^5.4*y - 2*t^5.7*y | detail | {a: 55557/32000, c: 58557/32000, X1: 7/5, M1: 4/5, M2: 4/5, q1: 3/5, q2: 1/2, phi1: 3/10} |
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 |
---|---|---|---|---|---|---|---|---|---|
44956 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ | 1.7222 | 1.8077 | 0.9527 | [X:[1.3878], M:[0.7755], q:[0.6122, 0.4694], qb:[], phi:[0.3061]] | t^2.33 + t^2.82 + 2*t^3.24 + 2*t^3.67 + 2*t^4.16 + 2*t^4.65 + t^5.08 + t^5.14 + t^5.51 + t^5.57 + t^5.63 - t^3.92/y - t^5.33/y - (2*t^5.76)/y - t^3.92*y - t^5.33*y - 2*t^5.76*y | detail |