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 |
---|---|---|---|---|---|---|---|---|---|
55458 | SU2adj1nf3 | $M_1\phi_1^2$ + $ M_1^2$ | 0.8477 | 1.0039 | 0.8444 | [X:[], M:[1.0], q:[0.6667, 0.6667, 0.6667], qb:[0.6667, 0.6667, 0.6667], phi:[0.5]] | [X:[], M:[[0, 0, 0, 0, 0]], q:[[-1, -1, -1, -1, -1], [1, 0, 0, 0, 0], [0, 1, 0, 0, 0]], qb:[[0, 0, 1, 0, 0], [0, 0, 0, 1, 0], [0, 0, 0, 0, 1]], phi:[[0, 0, 0, 0, 0]]] | 5 | {a: 217/256, c: 257/256, M1: 1, q1: 2/3, q2: 2/3, q3: 2/3, qb1: 2/3, qb2: 2/3, qb3: 2/3, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ q_1\tilde{q}_3$, $ \phi_1q_2^2$, $ \phi_1q_2q_3$, $ \phi_1q_1\tilde{q}_3$ | . | -35 | t^3. + 15*t^4. + 21*t^5.5 - 35*t^6. + 15*t^7. - 35*t^7.5 + 126*t^8. - t^4.5/y - t^4.5*y | t^3. + g1*g2*t^4. + g1*g3*t^4. + g2*g3*t^4. + t^4./(g1*g2*g3*g4) + g1*g4*t^4. + g2*g4*t^4. + g3*g4*t^4. + t^4./(g1*g2*g3*g5) + t^4./(g1*g2*g4*g5) + t^4./(g1*g3*g4*g5) + t^4./(g2*g3*g4*g5) + g1*g5*t^4. + g2*g5*t^4. + g3*g5*t^4. + g4*g5*t^4. + g1^2*t^5.5 + g1*g2*t^5.5 + g2^2*t^5.5 + g1*g3*t^5.5 + g2*g3*t^5.5 + g3^2*t^5.5 + t^5.5/(g1*g2*g3*g4) + g1*g4*t^5.5 + g2*g4*t^5.5 + g3*g4*t^5.5 + g4^2*t^5.5 + t^5.5/(g1^2*g2^2*g3^2*g4^2*g5^2) + t^5.5/(g1*g2*g3*g5) + t^5.5/(g1*g2*g4*g5) + t^5.5/(g1*g3*g4*g5) + t^5.5/(g2*g3*g4*g5) + g1*g5*t^5.5 + g2*g5*t^5.5 + g3*g5*t^5.5 + g4*g5*t^5.5 + g5^2*t^5.5 - 5*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 - (g1*t^6.)/g3 - (g2*t^6.)/g3 - (g3*t^6.)/g1 - (g3*t^6.)/g2 - (g1*t^6.)/g4 - (g2*t^6.)/g4 - (g3*t^6.)/g4 - (g4*t^6.)/g1 - (g4*t^6.)/g2 - (g4*t^6.)/g3 - t^6./(g1*g2*g3*g4*g5^2) - (g1*t^6.)/g5 - (g2*t^6.)/g5 - (g3*t^6.)/g5 - t^6./(g1*g2*g3*g4^2*g5) - t^6./(g1*g2*g3^2*g4*g5) - t^6./(g1*g2^2*g3*g4*g5) - t^6./(g1^2*g2*g3*g4*g5) - (g4*t^6.)/g5 - (g5*t^6.)/g1 - (g5*t^6.)/g2 - (g5*t^6.)/g3 - (g5*t^6.)/g4 - g1^2*g2*g3*g4*g5*t^6. - g1*g2^2*g3*g4*g5*t^6. - g1*g2*g3^2*g4*g5*t^6. - g1*g2*g3*g4^2*g5*t^6. - g1*g2*g3*g4*g5^2*t^6. + g1*g2*t^7. + g1*g3*t^7. + g2*g3*t^7. + t^7./(g1*g2*g3*g4) + g1*g4*t^7. + g2*g4*t^7. + g3*g4*t^7. + t^7./(g1*g2*g3*g5) + t^7./(g1*g2*g4*g5) + t^7./(g1*g3*g4*g5) + t^7./(g2*g3*g4*g5) + g1*g5*t^7. + g2*g5*t^7. + g3*g5*t^7. + g4*g5*t^7. - 5*t^7.5 - (g1*t^7.5)/g2 - (g2*t^7.5)/g1 - (g1*t^7.5)/g3 - (g2*t^7.5)/g3 - (g3*t^7.5)/g1 - (g3*t^7.5)/g2 - (g1*t^7.5)/g4 - (g2*t^7.5)/g4 - (g3*t^7.5)/g4 - (g4*t^7.5)/g1 - (g4*t^7.5)/g2 - (g4*t^7.5)/g3 - t^7.5/(g1*g2*g3*g4*g5^2) - (g1*t^7.5)/g5 - (g2*t^7.5)/g5 - (g3*t^7.5)/g5 - t^7.5/(g1*g2*g3*g4^2*g5) - t^7.5/(g1*g2*g3^2*g4*g5) - t^7.5/(g1*g2^2*g3*g4*g5) - t^7.5/(g1^2*g2*g3*g4*g5) - (g4*t^7.5)/g5 - (g5*t^7.5)/g1 - (g5*t^7.5)/g2 - (g5*t^7.5)/g3 - (g5*t^7.5)/g4 - g1^2*g2*g3*g4*g5*t^7.5 - g1*g2^2*g3*g4*g5*t^7.5 - g1*g2*g3^2*g4*g5*t^7.5 - g1*g2*g3*g4^2*g5*t^7.5 - g1*g2*g3*g4*g5^2*t^7.5 + t^8./g1^2 + t^8./g2^2 + (3*t^8.)/(g1*g2) + g1^2*g2^2*t^8. + t^8./g3^2 + (3*t^8.)/(g1*g3) + (3*t^8.)/(g2*g3) + g1^2*g2*g3*t^8. + g1*g2^2*g3*t^8. + g1^2*g3^2*t^8. + g1*g2*g3^2*t^8. + g2^2*g3^2*t^8. + t^8./g4^2 + t^8./(g1^2*g2^2*g3^2*g4^2) + (3*t^8.)/(g1*g4) + (3*t^8.)/(g2*g4) + (3*t^8.)/(g3*g4) + (g1*t^8.)/(g2*g3*g4) + (g2*t^8.)/(g1*g3*g4) + (g3*t^8.)/(g1*g2*g4) + g1^2*g2*g4*t^8. + g1*g2^2*g4*t^8. + (g4*t^8.)/(g1*g2*g3) + g1^2*g3*g4*t^8. + 3*g1*g2*g3*g4*t^8. + g2^2*g3*g4*t^8. + g1*g3^2*g4*t^8. + g2*g3^2*g4*t^8. + g1^2*g4^2*t^8. + g1*g2*g4^2*t^8. + g2^2*g4^2*t^8. + g1*g3*g4^2*t^8. + g2*g3*g4^2*t^8. + g3^2*g4^2*t^8. + t^8./g5^2 + t^8./(g1^2*g2^2*g3^2*g5^2) + t^8./(g1^2*g2^2*g4^2*g5^2) + t^8./(g1^2*g3^2*g4^2*g5^2) + t^8./(g2^2*g3^2*g4^2*g5^2) + t^8./(g1*g2*g3^2*g4^2*g5^2) + t^8./(g1*g2^2*g3*g4^2*g5^2) + t^8./(g1^2*g2*g3*g4^2*g5^2) + t^8./(g1*g2^2*g3^2*g4*g5^2) + t^8./(g1^2*g2*g3^2*g4*g5^2) + t^8./(g1^2*g2^2*g3*g4*g5^2) + (3*t^8.)/(g1*g5) + (3*t^8.)/(g2*g5) + (3*t^8.)/(g3*g5) + (g1*t^8.)/(g2*g3*g5) + (g2*t^8.)/(g1*g3*g5) + (g3*t^8.)/(g1*g2*g5) + t^8./(g1*g2^2*g3^2*g4^2*g5) + t^8./(g1^2*g2*g3^2*g4^2*g5) + t^8./(g1^2*g2^2*g3*g4^2*g5) + (3*t^8.)/(g4*g5) + (g1*t^8.)/(g2*g4*g5) + (g2*t^8.)/(g1*g4*g5) + t^8./(g1^2*g2^2*g3^2*g4*g5) + (g1*t^8.)/(g3*g4*g5) + (g2*t^8.)/(g3*g4*g5) + (g3*t^8.)/(g1*g4*g5) + (g3*t^8.)/(g2*g4*g5) + (g4*t^8.)/(g1*g2*g5) + (g4*t^8.)/(g1*g3*g5) + (g4*t^8.)/(g2*g3*g5) + g1^2*g2*g5*t^8. + g1*g2^2*g5*t^8. + (g5*t^8.)/(g1*g2*g3) + g1^2*g3*g5*t^8. + 3*g1*g2*g3*g5*t^8. + g2^2*g3*g5*t^8. + g1*g3^2*g5*t^8. + g2*g3^2*g5*t^8. + (g5*t^8.)/(g1*g2*g4) + (g5*t^8.)/(g1*g3*g4) + (g5*t^8.)/(g2*g3*g4) + g1^2*g4*g5*t^8. + 3*g1*g2*g4*g5*t^8. + g2^2*g4*g5*t^8. + 3*g1*g3*g4*g5*t^8. + 3*g2*g3*g4*g5*t^8. + g3^2*g4*g5*t^8. + g1*g4^2*g5*t^8. + g2*g4^2*g5*t^8. + g3*g4^2*g5*t^8. + g1^2*g5^2*t^8. + g1*g2*g5^2*t^8. + g2^2*g5^2*t^8. + g1*g3*g5^2*t^8. + g2*g3*g5^2*t^8. + g3^2*g5^2*t^8. + g1*g4*g5^2*t^8. + g2*g4*g5^2*t^8. + g3*g4*g5^2*t^8. + g4^2*g5^2*t^8. + g1^2*g2^2*g3^2*g4^2*g5^2*t^8. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|
55654 | $M_1\phi_1^2$ + $ M_1^2$ + $ \phi_1q_2^2$ | 0.8433 | 0.9995 | 0.8437 | [X:[], M:[1.0], q:[0.65, 0.75, 0.65], qb:[0.65, 0.65, 0.65], phi:[0.5]] | t^3. + 10*t^3.9 + 5*t^4.2 + 15*t^5.4 - 24*t^6. - t^4.5/y - t^4.5*y | detail | {a: 5397/6400, c: 6397/6400, M1: 1, q1: 13/20, q2: 3/4, q3: 13/20, qb1: 13/20, qb2: 13/20, qb3: 13/20, phi1: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
55432 | SU2adj1nf3 | $M_1\phi_1^2$ | 0.872 | 1.0666 | 0.8176 | [X:[], M:[0.8251], q:[0.6084, 0.6084, 0.6084], qb:[0.6084, 0.6084, 0.6084], phi:[0.5875]] | t^2.48 + 15*t^3.65 + t^4.95 + 21*t^5.41 - 36*t^6. - t^4.76/y - t^4.76*y | detail |