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 |
---|---|---|---|---|---|---|---|---|---|
45218 | SO5adj1nf2 | $q_1^4$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ + $ M_3\phi_1^2q_2$ | 1.8237 | 1.9583 | 0.9313 | [X:[], M:[0.6933, 1.04, 0.8467], q:[0.5, 0.46], qb:[], phi:[0.3467]] | [X:[], M:[[-2], [-3], [-1]], q:[[0], [3]], qb:[], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1^2$, $ M_3$, $ q_2^2$, $ q_1^2$, $ M_2$, $ \phi_1^2q_1$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_1q_2^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_3^2$, $ M_1q_1^2$, $ \phi_1^2q_1^2$, $ M_1M_2$, $ M_2\phi_1^2$, $ M_3q_2^2$, $ q_2^4$, $ M_3q_1^2$, $ M_2M_3$, $ M_1\phi_1^2q_1$, $ \phi_1^4q_1$, $ q_1^2q_2^2$ | $\phi_1^3q_1q_2$ | 0 | 2*t^2.08 + t^2.54 + t^2.76 + t^3. + t^3.12 + t^3.58 + 4*t^4.16 + 2*t^4.62 + 3*t^4.84 + t^4.96 + 4*t^5.08 + 2*t^5.2 + t^5.3 + t^5.52 + t^5.54 + 3*t^5.66 + t^5.76 + t^6.12 + 7*t^6.24 + t^6.34 + 4*t^6.7 + 5*t^6.92 + t^7.04 + 8*t^7.16 + 4*t^7.28 + 3*t^7.38 + t^7.5 + 3*t^7.6 + 4*t^7.62 + t^7.72 + 6*t^7.74 + 4*t^7.84 + t^7.96 + t^8.06 + 2*t^8.08 + 3*t^8.2 + t^8.28 + t^8.3 + 11*t^8.32 + 2*t^8.42 + t^8.52 + 2*t^8.66 - t^8.76 + 7*t^8.78 - t^8.88 - t^4.04/y - t^5.42/y - t^5.54/y - (3*t^6.12)/y - t^6.58/y - t^6.8/y - t^7.04/y - (2*t^7.5)/y - t^7.62/y + (2*t^7.84)/y + t^8.08/y - t^8.18/y - (4*t^8.2)/y - t^8.42/y + t^8.76/y - (2*t^8.88)/y - t^4.04*y - t^5.42*y - t^5.54*y - 3*t^6.12*y - t^6.58*y - t^6.8*y - t^7.04*y - 2*t^7.5*y - t^7.62*y + 2*t^7.84*y + t^8.08*y - t^8.18*y - 4*t^8.2*y - t^8.42*y + t^8.76*y - 2*t^8.88*y | (2*t^2.08)/g1^2 + t^2.54/g1 + g1^6*t^2.76 + t^3. + t^3.12/g1^3 + t^3.58/g1^2 + (4*t^4.16)/g1^4 + (2*t^4.62)/g1^3 + 3*g1^4*t^4.84 + g1*t^4.96 + (4*t^5.08)/g1^2 + (2*t^5.2)/g1^5 + g1^5*t^5.3 + g1^12*t^5.52 + t^5.54/g1 + (3*t^5.66)/g1^4 + g1^6*t^5.76 + t^6.12/g1^3 + (7*t^6.24)/g1^6 + g1^4*t^6.34 + (4*t^6.7)/g1^5 + 5*g1^2*t^6.92 + t^7.04/g1 + (8*t^7.16)/g1^4 + (4*t^7.28)/g1^7 + 3*g1^3*t^7.38 + t^7.5 + 3*g1^10*t^7.6 + (4*t^7.62)/g1^3 + g1^7*t^7.72 + (6*t^7.74)/g1^6 + 4*g1^4*t^7.84 + g1*t^7.96 + g1^11*t^8.06 + (2*t^8.08)/g1^2 + (3*t^8.2)/g1^5 + g1^18*t^8.28 + g1^5*t^8.3 + (11*t^8.32)/g1^8 + 2*g1^2*t^8.42 + g1^12*t^8.52 + (2*t^8.66)/g1^4 - g1^6*t^8.76 + (7*t^8.78)/g1^7 - g1^3*t^8.88 - t^4.04/(g1*y) - (g1^2*t^5.42)/y - t^5.54/(g1*y) - (3*t^6.12)/(g1^3*y) - t^6.58/(g1^2*y) - (g1^5*t^6.8)/y - t^7.04/(g1*y) - (2*t^7.5)/y - t^7.62/(g1^3*y) + (2*g1^4*t^7.84)/y + t^8.08/(g1^2*y) - (g1^8*t^8.18)/y - (4*t^8.2)/(g1^5*y) - (g1^2*t^8.42)/y + (g1^6*t^8.76)/y - (2*g1^3*t^8.88)/y - (t^4.04*y)/g1 - g1^2*t^5.42*y - (t^5.54*y)/g1 - (3*t^6.12*y)/g1^3 - (t^6.58*y)/g1^2 - g1^5*t^6.8*y - (t^7.04*y)/g1 - 2*t^7.5*y - (t^7.62*y)/g1^3 + 2*g1^4*t^7.84*y + (t^8.08*y)/g1^2 - g1^8*t^8.18*y - (4*t^8.2*y)/g1^5 - g1^2*t^8.42*y + g1^6*t^8.76*y - 2*g1^3*t^8.88*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 |
---|---|---|---|---|---|---|---|---|
45275 | $q_1^4$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ + $ M_3\phi_1^2q_2$ + $ M_1M_2$ + $ q_2^2X_1$ | 1.724 | 1.8302 | 0.9419 | [X:[1.4], M:[0.8, 1.2, 0.9], q:[0.5, 0.3], qb:[], phi:[0.4]] | 2*t^2.4 + t^2.7 + t^3. + t^3.6 + t^3.9 + 2*t^4.2 + 5*t^4.8 + 2*t^5.1 + 3*t^5.4 + t^5.7 + 2*t^6. - t^4.2/y - t^5.1/y - t^5.7/y - t^4.2*y - t^5.1*y - t^5.7*y | detail | {a: 55167/32000, c: 58567/32000, X1: 7/5, M1: 4/5, M2: 6/5, M3: 9/10, q1: 1/2, q2: 3/10, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
45088 | SO5adj1nf2 | $q_1^4$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ | 1.8104 | 1.9354 | 0.9354 | [X:[], M:[0.6961, 1.0441], q:[0.5, 0.4559], qb:[], phi:[0.348]] | 2*t^2.09 + t^2.74 + t^3. + t^3.13 + t^3.46 + t^3.59 + 4*t^4.18 + 3*t^4.82 + t^4.96 + 3*t^5.09 + 2*t^5.22 + t^5.47 + 2*t^5.54 + 2*t^5.68 + t^5.74 - t^4.04/y - t^5.41/y - t^5.54/y - t^4.04*y - t^5.41*y - t^5.54*y | detail |