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 |
---|---|---|---|---|---|---|---|---|---|
159 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ | 0.6845 | 0.8095 | 0.8456 | [X:[], M:[0.8373, 1.2823, 0.8373, 0.8373], q:[0.8206, 0.5813], qb:[0.5813, 0.5813], phi:[0.3588]] | [X:[], M:[[-7, -7, 0], [4, 4, 4], [-7, 0, -7], [0, -7, -7]], q:[[1, 1, 1], [7, 0, 0]], qb:[[0, 7, 0], [0, 0, 7]], phi:[[-2, -2, -2]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_3$, $ M_4$, $ M_2$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_3^2$, $ M_4^2$, $ M_3M_4$, $ M_1M_4$, $ M_1M_3$ | . | -9 | 3*t^2.51 + t^3.85 + 3*t^4.21 + 6*t^4.56 + 6*t^5.02 - 9*t^6. + 6*t^6.72 + 10*t^7.08 + 10*t^7.54 + 6*t^8.41 - 21*t^8.51 + 10*t^8.77 - t^4.08/y - (3*t^6.59)/y + (3*t^7.56)/y + (3*t^8.02)/y - t^4.08*y - 3*t^6.59*y + 3*t^7.56*y + 3*t^8.02*y | t^2.51/(g1^7*g2^7) + t^2.51/(g1^7*g3^7) + t^2.51/(g2^7*g3^7) + g1^4*g2^4*g3^4*t^3.85 + g1^8*g2*g3*t^4.21 + g1*g2^8*g3*t^4.21 + g1*g2*g3^8*t^4.21 + (g1^12*t^4.56)/(g2^2*g3^2) + (g1^5*g2^5*t^4.56)/g3^2 + (g2^12*t^4.56)/(g1^2*g3^2) + (g1^5*g3^5*t^4.56)/g2^2 + (g2^5*g3^5*t^4.56)/g1^2 + (g3^12*t^4.56)/(g1^2*g2^2) + t^5.02/(g1^14*g2^14) + t^5.02/(g1^14*g3^14) + t^5.02/(g2^14*g3^14) + t^5.02/(g1^7*g2^7*g3^14) + t^5.02/(g1^7*g2^14*g3^7) + t^5.02/(g1^14*g2^7*g3^7) - 3*t^6. - (g1^7*t^6.)/g2^7 - (g2^7*t^6.)/g1^7 - (g1^7*t^6.)/g3^7 - (g2^7*t^6.)/g3^7 - (g3^7*t^6.)/g1^7 - (g3^7*t^6.)/g2^7 + (g1^8*t^6.72)/(g2^6*g3^6) + (g1*g2*t^6.72)/g3^6 + (g2^8*t^6.72)/(g1^6*g3^6) + (g1*g3*t^6.72)/g2^6 + (g2*g3*t^6.72)/g1^6 + (g3^8*t^6.72)/(g1^6*g2^6) + (g1^12*t^7.08)/(g2^9*g3^9) + (g1^5*t^7.08)/(g2^2*g3^9) + (g2^5*t^7.08)/(g1^2*g3^9) + (g2^12*t^7.08)/(g1^9*g3^9) + (g1^5*t^7.08)/(g2^9*g3^2) + t^7.08/(g1^2*g2^2*g3^2) + (g2^5*t^7.08)/(g1^9*g3^2) + (g3^5*t^7.08)/(g1^2*g2^9) + (g3^5*t^7.08)/(g1^9*g2^2) + (g3^12*t^7.08)/(g1^9*g2^9) + t^7.54/(g1^21*g2^21) + t^7.54/(g1^21*g3^21) + t^7.54/(g2^21*g3^21) + t^7.54/(g1^7*g2^14*g3^21) + t^7.54/(g1^14*g2^7*g3^21) + t^7.54/(g1^7*g2^21*g3^14) + t^7.54/(g1^14*g2^14*g3^14) + t^7.54/(g1^21*g2^7*g3^14) + t^7.54/(g1^14*g2^21*g3^7) + t^7.54/(g1^21*g2^14*g3^7) + g1^16*g2^2*g3^2*t^8.41 + g1^9*g2^9*g3^2*t^8.41 + g1^2*g2^16*g3^2*t^8.41 + g1^9*g2^2*g3^9*t^8.41 + g1^2*g2^9*g3^9*t^8.41 + g1^2*g2^2*g3^16*t^8.41 - t^8.51/g1^14 - t^8.51/g2^14 - (4*t^8.51)/(g1^7*g2^7) - t^8.51/g3^14 - (g1^7*t^8.51)/(g2^7*g3^14) - (g2^7*t^8.51)/(g1^7*g3^14) - (4*t^8.51)/(g1^7*g3^7) - (g1^7*t^8.51)/(g2^14*g3^7) - (4*t^8.51)/(g2^7*g3^7) - (g2^7*t^8.51)/(g1^14*g3^7) - (g3^7*t^8.51)/(g1^7*g2^14) - (g3^7*t^8.51)/(g1^14*g2^7) + (g1^20*t^8.77)/(g2*g3) + (g1^13*g2^6*t^8.77)/g3 + (g1^6*g2^13*t^8.77)/g3 + (g2^20*t^8.77)/(g1*g3) + (g1^13*g3^6*t^8.77)/g2 + g1^6*g2^6*g3^6*t^8.77 + (g2^13*g3^6*t^8.77)/g1 + (g1^6*g3^13*t^8.77)/g2 + (g2^6*g3^13*t^8.77)/g1 + (g3^20*t^8.77)/(g1*g2) - t^4.08/(g1^2*g2^2*g3^2*y) - t^6.59/(g1^2*g2^9*g3^9*y) - t^6.59/(g1^9*g2^2*g3^9*y) - t^6.59/(g1^9*g2^9*g3^2*y) + (g1^5*g2^5*t^7.56)/(g3^2*y) + (g1^5*g3^5*t^7.56)/(g2^2*y) + (g2^5*g3^5*t^7.56)/(g1^2*y) + t^8.02/(g1^7*g2^7*g3^14*y) + t^8.02/(g1^7*g2^14*g3^7*y) + t^8.02/(g1^14*g2^7*g3^7*y) - (t^4.08*y)/(g1^2*g2^2*g3^2) - (t^6.59*y)/(g1^2*g2^9*g3^9) - (t^6.59*y)/(g1^9*g2^2*g3^9) - (t^6.59*y)/(g1^9*g2^9*g3^2) + (g1^5*g2^5*t^7.56*y)/g3^2 + (g1^5*g3^5*t^7.56*y)/g2^2 + (g2^5*g3^5*t^7.56*y)/g1^2 + (t^8.02*y)/(g1^7*g2^7*g3^14) + (t^8.02*y)/(g1^7*g2^14*g3^7) + (t^8.02*y)/(g1^14*g2^7*g3^7) |
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 |
---|---|---|---|---|---|---|---|---|
250 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ | 0.6621 | 0.7871 | 0.8412 | [X:[], M:[1.0, 1.1646, 0.9238, 1.0], q:[0.7912, 0.5381], qb:[0.4619, 0.5381], phi:[0.4177]] | t^2.77 + 2*t^3. + t^3.49 + t^3.76 + 2*t^3.99 + t^4.02 + 2*t^4.25 + 3*t^4.48 + t^5.54 - 2*t^6. - t^4.25/y - t^4.25*y | detail | |
252 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ | 0.6697 | 0.7947 | 0.8427 | [X:[], M:[0.8882, 1.2067, 0.8882, 1.0], q:[0.8017, 0.6118], qb:[0.5, 0.5], phi:[0.3966]] | 2*t^2.66 + t^3. + t^3.62 + 2*t^3.91 + 3*t^4.19 + t^4.24 + 2*t^4.53 + t^4.86 + 3*t^5.33 - 4*t^6. - t^4.19/y - t^4.19*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 |
---|---|---|---|---|---|---|---|---|---|
100 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ | 0.6732 | 0.7929 | 0.8491 | [X:[], M:[0.8614, 1.2464, 0.8614], q:[0.8116, 0.596], qb:[0.5426, 0.5426], phi:[0.3768]] | 2*t^2.58 + t^3.26 + t^3.74 + 2*t^4.06 + t^4.22 + 3*t^4.39 + 2*t^4.55 + t^4.71 + 3*t^5.17 - 5*t^6. - t^4.13/y - t^4.13*y | detail |