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 |
---|---|---|---|---|---|---|---|---|---|
2713 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ | 0.6359 | 0.8312 | 0.765 | [X:[], M:[1.0, 0.8754, 0.6721, 0.6721], q:[0.7656, 0.2344], qb:[0.5623, 0.5623], phi:[0.4689]] | [X:[], M:[[0, 0], [-8, -8], [-9, -1], [-1, -9]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_3M_4$, $ M_3^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_2M_4$, $ M_2M_3$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_4\phi_1q_2^2$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_1M_4$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2\phi_1q_2^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_4\phi_1q_2\tilde{q}_2$, $ M_3\phi_1q_2\tilde{q}_2$ | . | -5 | 2*t^2.02 + 2*t^2.39 + t^2.63 + 2*t^2.81 + t^3. + 2*t^3.8 + 3*t^4.03 + 4*t^4.41 + 2*t^4.64 + 6*t^4.78 + 4*t^4.83 + 2*t^5.02 + 4*t^5.2 + t^5.25 + 2*t^5.39 + 2*t^5.44 + 4*t^5.63 + 5*t^5.81 - 5*t^6. + 4*t^6.05 + 3*t^6.19 - t^6.37 + 6*t^6.42 + 2*t^6.61 + 3*t^6.66 + 10*t^6.8 + 6*t^6.85 - 4*t^6.98 + 3*t^7.03 + 8*t^7.17 + 8*t^7.22 + 2*t^7.27 + 2*t^7.41 + 4*t^7.46 + 10*t^7.59 + 8*t^7.64 + 2*t^7.78 + 8*t^7.83 + t^7.88 - 3*t^7.97 - 4*t^8.02 + 7*t^8.07 + 8*t^8.2 + 4*t^8.25 - 14*t^8.39 + 13*t^8.44 + 6*t^8.58 + 3*t^8.63 + 4*t^8.68 - 4*t^8.76 + 2*t^8.81 + 8*t^8.86 - t^4.41/y - (2*t^6.42)/y - t^7.22/y + (4*t^7.41)/y + t^7.59/y + (2*t^7.64)/y + (2*t^7.78)/y + (4*t^7.83)/y + (4*t^8.02)/y + (4*t^8.2)/y + (4*t^8.39)/y - t^8.44/y + (2*t^8.63)/y + (6*t^8.81)/y - t^4.41*y - 2*t^6.42*y - t^7.22*y + 4*t^7.41*y + t^7.59*y + 2*t^7.64*y + 2*t^7.78*y + 4*t^7.83*y + 4*t^8.02*y + 4*t^8.2*y + 4*t^8.39*y - t^8.44*y + 2*t^8.63*y + 6*t^8.81*y | t^2.02/(g1*g2^9) + t^2.02/(g1^9*g2) + (g1^7*t^2.39)/g2 + (g2^7*t^2.39)/g1 + t^2.63/(g1^8*g2^8) + (2*t^2.81)/(g1^4*g2^4) + t^3. + (g1^5*t^3.8)/g2^3 + (g2^5*t^3.8)/g1^3 + t^4.03/(g1^2*g2^18) + t^4.03/(g1^10*g2^10) + t^4.03/(g1^18*g2^2) + (g1^6*t^4.41)/g2^10 + (2*t^4.41)/(g1^2*g2^2) + (g2^6*t^4.41)/g1^10 + t^4.64/(g1^9*g2^17) + t^4.64/(g1^17*g2^9) + (2*g1^14*t^4.78)/g2^2 + 2*g1^6*g2^6*t^4.78 + (2*g2^14*t^4.78)/g1^2 + (2*t^4.83)/(g1^5*g2^13) + (2*t^4.83)/(g1^13*g2^5) + t^5.02/(g1*g2^9) + t^5.02/(g1^9*g2) + (2*g1^3*t^5.2)/g2^5 + (2*g2^3*t^5.2)/g1^5 + t^5.25/(g1^16*g2^16) + (g1^7*t^5.39)/g2 + (g2^7*t^5.39)/g1 + (2*t^5.44)/(g1^12*g2^12) + (4*t^5.63)/(g1^8*g2^8) + (g1^4*t^5.81)/g2^12 + (3*t^5.81)/(g1^4*g2^4) + (g2^4*t^5.81)/g1^12 - 3*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + t^6.05/(g1^3*g2^27) + t^6.05/(g1^11*g2^19) + t^6.05/(g1^19*g2^11) + t^6.05/(g1^27*g2^3) + (g1^12*t^6.19)/g2^4 + g1^4*g2^4*t^6.19 + (g2^12*t^6.19)/g1^4 - g1^8*g2^8*t^6.37 + (g1^5*t^6.42)/g2^19 + (2*t^6.42)/(g1^3*g2^11) + (2*t^6.42)/(g1^11*g2^3) + (g2^5*t^6.42)/g1^19 + (g1*t^6.61)/g2^7 + (g2*t^6.61)/g1^7 + t^6.66/(g1^10*g2^26) + t^6.66/(g1^18*g2^18) + t^6.66/(g1^26*g2^10) + (2*g1^13*t^6.8)/g2^11 + (3*g1^5*t^6.8)/g2^3 + (3*g2^5*t^6.8)/g1^3 + (2*g2^13*t^6.8)/g1^11 + (2*t^6.85)/(g1^6*g2^22) + (2*t^6.85)/(g1^14*g2^14) + (2*t^6.85)/(g1^22*g2^6) - 2*g1^9*g2*t^6.98 - 2*g1*g2^9*t^6.98 + t^7.03/(g1^2*g2^18) + t^7.03/(g1^10*g2^10) + t^7.03/(g1^18*g2^2) + (2*g1^21*t^7.17)/g2^3 + 2*g1^13*g2^5*t^7.17 + 2*g1^5*g2^13*t^7.17 + (2*g2^21*t^7.17)/g1^3 + (2*g1^2*t^7.22)/g2^14 + (4*t^7.22)/(g1^6*g2^6) + (2*g2^2*t^7.22)/g1^14 + t^7.27/(g1^17*g2^25) + t^7.27/(g1^25*g2^17) + (g1^6*t^7.41)/g2^10 + (g2^6*t^7.41)/g1^10 + (2*t^7.46)/(g1^13*g2^21) + (2*t^7.46)/(g1^21*g2^13) + (4*g1^10*t^7.59)/g2^6 + 2*g1^2*g2^2*t^7.59 + (4*g2^10*t^7.59)/g1^6 + (4*t^7.64)/(g1^9*g2^17) + (4*t^7.64)/(g1^17*g2^9) + (g1^14*t^7.78)/g2^2 + (g2^14*t^7.78)/g1^2 + (g1^3*t^7.83)/g2^21 + (3*t^7.83)/(g1^5*g2^13) + (3*t^7.83)/(g1^13*g2^5) + (g2^3*t^7.83)/g1^21 + t^7.88/(g1^24*g2^24) - g1^18*g2^2*t^7.97 - g1^10*g2^10*t^7.97 - g1^2*g2^18*t^7.97 - (g1^7*t^8.02)/g2^17 - t^8.02/(g1*g2^9) - t^8.02/(g1^9*g2) - (g2^7*t^8.02)/g1^17 + t^8.07/(g1^4*g2^36) + t^8.07/(g1^12*g2^28) + (3*t^8.07)/(g1^20*g2^20) + t^8.07/(g1^28*g2^12) + t^8.07/(g1^36*g2^4) + (g1^11*t^8.2)/g2^13 + (3*g1^3*t^8.2)/g2^5 + (3*g2^3*t^8.2)/g1^5 + (g2^11*t^8.2)/g1^13 + (4*t^8.25)/(g1^16*g2^16) - (g1^15*t^8.39)/g2^9 - (6*g1^7*t^8.39)/g2 - (6*g2^7*t^8.39)/g1 - (g2^15*t^8.39)/g1^9 + (g1^4*t^8.44)/g2^28 + (2*t^8.44)/(g1^4*g2^20) + (7*t^8.44)/(g1^12*g2^12) + (2*t^8.44)/(g1^20*g2^4) + (g2^4*t^8.44)/g1^28 + (2*g1^19*t^8.58)/g2^5 + g1^11*g2^3*t^8.58 + g1^3*g2^11*t^8.58 + (2*g2^19*t^8.58)/g1^5 + t^8.63/g1^16 + t^8.63/g2^16 + t^8.63/(g1^8*g2^8) + t^8.68/(g1^11*g2^35) + t^8.68/(g1^19*g2^27) + t^8.68/(g1^27*g2^19) + t^8.68/(g1^35*g2^11) - 2*g1^15*g2^7*t^8.76 - 2*g1^7*g2^15*t^8.76 + (2*g1^12*t^8.81)/g2^20 + (g1^4*t^8.81)/g2^12 - (4*t^8.81)/(g1^4*g2^4) + (g2^4*t^8.81)/g1^12 + (2*g2^12*t^8.81)/g1^20 + (2*t^8.86)/(g1^7*g2^31) + (2*t^8.86)/(g1^15*g2^23) + (2*t^8.86)/(g1^23*g2^15) + (2*t^8.86)/(g1^31*g2^7) - t^4.41/(g1^2*g2^2*y) - t^6.42/(g1^3*g2^11*y) - t^6.42/(g1^11*g2^3*y) - t^7.22/(g1^6*g2^6*y) + (g1^6*t^7.41)/(g2^10*y) + (2*t^7.41)/(g1^2*g2^2*y) + (g2^6*t^7.41)/(g1^10*y) + (g1^2*g2^2*t^7.59)/y + t^7.64/(g1^9*g2^17*y) + t^7.64/(g1^17*g2^9*y) + (2*g1^6*g2^6*t^7.78)/y + (2*t^7.83)/(g1^5*g2^13*y) + (2*t^7.83)/(g1^13*g2^5*y) + (2*t^8.02)/(g1*g2^9*y) + (2*t^8.02)/(g1^9*g2*y) + (2*g1^3*t^8.2)/(g2^5*y) + (2*g2^3*t^8.2)/(g1^5*y) + (2*g1^7*t^8.39)/(g2*y) + (2*g2^7*t^8.39)/(g1*y) - t^8.44/(g1^4*g2^20*y) + t^8.44/(g1^12*g2^12*y) - t^8.44/(g1^20*g2^4*y) + (2*t^8.63)/(g1^8*g2^8*y) + (g1^4*t^8.81)/(g2^12*y) + (4*t^8.81)/(g1^4*g2^4*y) + (g2^4*t^8.81)/(g1^12*y) - (t^4.41*y)/(g1^2*g2^2) - (t^6.42*y)/(g1^3*g2^11) - (t^6.42*y)/(g1^11*g2^3) - (t^7.22*y)/(g1^6*g2^6) + (g1^6*t^7.41*y)/g2^10 + (2*t^7.41*y)/(g1^2*g2^2) + (g2^6*t^7.41*y)/g1^10 + g1^2*g2^2*t^7.59*y + (t^7.64*y)/(g1^9*g2^17) + (t^7.64*y)/(g1^17*g2^9) + 2*g1^6*g2^6*t^7.78*y + (2*t^7.83*y)/(g1^5*g2^13) + (2*t^7.83*y)/(g1^13*g2^5) + (2*t^8.02*y)/(g1*g2^9) + (2*t^8.02*y)/(g1^9*g2) + (2*g1^3*t^8.2*y)/g2^5 + (2*g2^3*t^8.2*y)/g1^5 + (2*g1^7*t^8.39*y)/g2 + (2*g2^7*t^8.39*y)/g1 - (t^8.44*y)/(g1^4*g2^20) + (t^8.44*y)/(g1^12*g2^12) - (t^8.44*y)/(g1^20*g2^4) + (2*t^8.63*y)/(g1^8*g2^8) + (g1^4*t^8.81*y)/g2^12 + (4*t^8.81*y)/(g1^4*g2^4) + (g2^4*t^8.81*y)/g1^12 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1715 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ | 0.6151 | 0.7899 | 0.7787 | [X:[], M:[1.0, 0.877, 0.6721], q:[0.7654, 0.2346], qb:[0.5625, 0.5605], phi:[0.4693]] | t^2.02 + 2*t^2.39 + t^2.63 + 2*t^2.82 + t^3. + t^3.79 + t^3.8 + t^3.98 + t^4.03 + t^4.4 + t^4.41 + t^4.65 + 2*t^4.77 + 4*t^4.78 + 2*t^4.83 + t^5.02 + 2*t^5.2 + 2*t^5.21 + t^5.26 + 2*t^5.39 + 2*t^5.45 + 4*t^5.63 + t^5.81 + 2*t^5.82 - 3*t^6. - t^4.41/y - t^4.41*y | detail |