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 |
---|---|---|---|---|---|---|---|---|---|
45002 | SO5adj1nf2 | $M_1\phi_1q_1q_2$ + $ \phi_1^4q_1$ + $ q_1^4$ | 1.8016 | 1.9344 | 0.9313 | [X:[], M:[0.75], q:[0.5, 0.375], qb:[], phi:[0.375]] | [X:[], M:[[0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 29517/16384, c: 31693/16384, M1: 3/4, q1: 1/2, q2: 3/8, phi1: 3/8} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1^2$, $ q_2^2$, $ q_1q_2$, $ q_1^2$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1q_2^2$, $ \phi_1^2q_2^2$, $ q_2^4$, $ M_1q_1q_2$, $ \phi_1^2q_1q_2$, $ q_1q_2^3$, $ M_1q_1^2$, $ \phi_1^2q_1^2$, $ q_1^2q_2^2$, $ M_1\phi_1^2q_2$, $ \phi_1^4q_2$, $ q_1^3q_2$, $ \phi_1^2q_2^3$ | $M_1\phi_1^2q_1$, $ \phi_1^3q_1q_2$, $ 2\phi_1^2q_1q_2^2$ | 4 | 3*t^2.25 + t^2.62 + t^3. + t^3.38 + t^3.75 + 8*t^4.5 + 4*t^4.88 + 5*t^5.25 + 3*t^5.62 + 4*t^6. + t^6.38 + 16*t^6.75 + 10*t^7.12 + 14*t^7.5 + 10*t^7.88 + 10*t^8.25 + 2*t^8.62 - t^4.12/y - t^5.25/y - t^5.62/y - (4*t^6.38)/y - t^6.75/y - t^7.12/y - t^7.5/y - t^7.88/y + t^8.25/y - (7*t^8.62)/y - t^4.12*y - t^5.25*y - t^5.62*y - 4*t^6.38*y - t^6.75*y - t^7.12*y - t^7.5*y - t^7.88*y + t^8.25*y - 7*t^8.62*y | 3*t^2.25 + t^2.62 + t^3. + t^3.38 + t^3.75 + 8*t^4.5 + 4*t^4.88 + 5*t^5.25 + 3*t^5.62 + 4*t^6. + t^6.38 + 16*t^6.75 + 10*t^7.12 + 14*t^7.5 + 10*t^7.88 + 10*t^8.25 + 2*t^8.62 - t^4.12/y - t^5.25/y - t^5.62/y - (4*t^6.38)/y - t^6.75/y - t^7.12/y - t^7.5/y - t^7.88/y + t^8.25/y - (7*t^8.62)/y - t^4.12*y - t^5.25*y - t^5.62*y - 4*t^6.38*y - t^6.75*y - t^7.12*y - t^7.5*y - t^7.88*y + t^8.25*y - 7*t^8.62*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 |
---|---|---|---|---|---|---|---|---|
45200 | $M_1\phi_1q_1q_2$ + $ \phi_1^4q_1$ + $ q_1^4$ + $ M_2\phi_1^2q_2$ | 1.8127 | 1.9534 | 0.928 | [X:[], M:[0.75, 0.875], q:[0.5, 0.375], qb:[], phi:[0.375]] | 3*t^2.25 + 2*t^2.62 + t^3. + t^3.75 + 8*t^4.5 + 7*t^4.88 + 7*t^5.25 + t^5.62 + 3*t^6. - t^4.12/y - t^5.25/y - t^5.62/y - t^4.12*y - t^5.25*y - t^5.62*y | detail | {a: 7425/4096, c: 8001/4096, M1: 3/4, M2: 7/8, q1: 1/2, q2: 3/8, phi1: 3/8} |
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 |
---|---|---|---|---|---|---|---|---|---|
44947 | SO5adj1nf2 | $M_1\phi_1q_1q_2$ + $ \phi_1^4q_1$ | 1.8087 | 1.9438 | 0.9305 | [X:[], M:[0.7752], q:[0.4496, 0.3876], qb:[], phi:[0.3876]] | 3*t^2.33 + t^2.51 + t^2.7 + t^3.49 + t^3.67 + 8*t^4.65 + 4*t^4.84 + 5*t^5.02 + t^5.21 + t^5.39 + 2*t^5.81 + 3*t^6. - t^4.16/y - t^5.33/y - t^5.51/y - t^4.16*y - t^5.33*y - t^5.51*y | detail |