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 |
---|---|---|---|---|---|---|---|---|---|
47092 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_6$ | 0.7054 | 0.8656 | 0.815 | [X:[], M:[1.0419, 0.8743, 0.9581, 1.0419, 0.9581, 0.9581], q:[0.521, 0.4371], qb:[0.6048, 0.521], phi:[0.479]] | [X:[], M:[[4, 12], [-20, 4], [-4, -12], [8, -8], [-8, 8], [-4, -12]], q:[[4, -4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-3, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_3$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ M_5M_6$, $ \phi_1^4$, $ M_5\phi_1^2$ | $M_3M_4$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$ | -1 | t^2.62 + 4*t^2.87 + t^3.13 + t^3.38 + t^4.06 + 2*t^4.31 + 4*t^4.56 + 2*t^4.81 + t^5.07 + t^5.25 + 3*t^5.5 + 7*t^5.75 - t^6. + t^6.68 + t^6.75 + 5*t^6.93 + 7*t^7.19 + 10*t^7.44 + 2*t^7.69 + t^7.87 + 3*t^7.94 + 4*t^8.12 + t^8.19 + 6*t^8.37 + t^8.44 + 9*t^8.62 - 7*t^8.87 - t^4.44/y - t^7.06/y - (2*t^7.31)/y + (2*t^7.56)/y + t^7.81/y + (4*t^8.5)/y + (7*t^8.75)/y - t^4.44*y - t^7.06*y - 2*t^7.31*y + 2*t^7.56*y + t^7.81*y + 4*t^8.5*y + 7*t^8.75*y | (g2^4*t^2.62)/g1^20 + (2*t^2.87)/(g1^4*g2^12) + t^2.87/(g1^6*g2^2) + (g2^8*t^2.87)/g1^8 + (g1^8*t^3.13)/g2^8 + g1^16*g2^16*t^3.38 + t^4.06/(g1^19*g2^17) + t^4.31/(g1^7*g2^13) + (g2^7*t^4.31)/g1^11 + (2*g1^5*t^4.56)/g2^9 + g1*g2^11*t^4.56 + (g2^31*t^4.56)/g1^3 + (g1^17*t^4.81)/g2^5 + g1^13*g2^15*t^4.81 + (g1^29*t^5.07)/g2 + (g2^8*t^5.25)/g1^40 + t^5.5/(g1^24*g2^8) + (g2^2*t^5.5)/g1^26 + (g2^12*t^5.5)/g1^28 + (2*t^5.75)/(g1^8*g2^24) + (2*t^5.75)/(g1^10*g2^14) + (2*t^5.75)/(g1^12*g2^4) + (g2^6*t^5.75)/g1^14 - 3*t^6. + (g1^4*t^6.)/g2^20 + (g1^2*t^6.)/g2^10 - g1^12*g2^4*t^6.25 + g1^10*g2^14*t^6.25 + t^6.68/(g1^39*g2^13) + g1^32*g2^32*t^6.75 + (2*t^6.93)/(g1^23*g2^29) + t^6.93/(g1^25*g2^19) + t^6.93/(g1^27*g2^9) + (g2^11*t^6.93)/g1^31 + (2*t^7.19)/(g1^11*g2^25) + (2*t^7.19)/(g1^15*g2^5) + (g2^5*t^7.19)/g1^17 + (g2^15*t^7.19)/g1^19 + (g2^35*t^7.19)/g1^23 + (3*g1*t^7.44)/g2^21 + t^7.44/(g1*g2^11) + (2*t^7.44)/(g1^3*g2) + (2*g2^19*t^7.44)/g1^7 + (g2^29*t^7.44)/g1^9 + (g2^39*t^7.44)/g1^11 + (2*g1^13*t^7.69)/g2^17 - (g1^11*t^7.69)/g2^7 + g1^9*g2^3*t^7.69 + g1^5*g2^23*t^7.69 - g1^3*g2^33*t^7.69 + (g2^12*t^7.87)/g1^60 + (2*g1^25*t^7.94)/g2^13 + g1^21*g2^7*t^7.94 - g1^19*g2^17*t^7.94 + g1^13*g2^47*t^7.94 + t^8.12/(g1^38*g2^34) + t^8.12/(g1^44*g2^4) + (g2^6*t^8.12)/g1^46 + (g2^16*t^8.12)/g1^48 + (g1^37*t^8.19)/g2^9 - g1^35*g2*t^8.19 + g1^29*g2^31*t^8.19 + (2*t^8.37)/g1^32 + t^8.37/(g1^26*g2^30) + (2*t^8.37)/(g1^30*g2^10) + (g2^10*t^8.37)/g1^34 + g1^45*g2^15*t^8.44 + (2*t^8.62)/(g1^12*g2^36) + (4*t^8.62)/(g1^14*g2^26) + t^8.62/(g1^16*g2^16) + (3*t^8.62)/(g1^18*g2^6) - (2*g2^4*t^8.62)/g1^20 + (g2^14*t^8.62)/g1^22 + t^8.87/g2^32 + (3*t^8.87)/(g1^2*g2^22) - (6*t^8.87)/(g1^4*g2^12) - t^8.87/(g1^6*g2^2) - (5*g2^8*t^8.87)/g1^8 + (g2^18*t^8.87)/g1^10 - (g2^28*t^8.87)/g1^12 + (g2^38*t^8.87)/g1^14 - t^4.44/(g1^3*g2*y) - (g2^3*t^7.06)/(g1^23*y) - t^7.31/(g1^7*g2^13*y) - t^7.31/(g1^9*g2^3*y) + (g1^3*g2*t^7.56)/y + (g1*g2^11*t^7.56)/y + (g1^17*t^7.81)/(g2^5*y) + (2*t^8.5)/(g1^24*g2^8*y) + (g2^2*t^8.5)/(g1^26*y) + (g2^12*t^8.5)/(g1^28*y) + t^8.75/(g1^8*g2^24*y) + (2*t^8.75)/(g1^10*g2^14*y) + (3*t^8.75)/(g1^12*g2^4*y) + (g2^6*t^8.75)/(g1^14*y) - (t^4.44*y)/(g1^3*g2) - (g2^3*t^7.06*y)/g1^23 - (t^7.31*y)/(g1^7*g2^13) - (t^7.31*y)/(g1^9*g2^3) + g1^3*g2*t^7.56*y + g1*g2^11*t^7.56*y + (g1^17*t^7.81*y)/g2^5 + (2*t^8.5*y)/(g1^24*g2^8) + (g2^2*t^8.5*y)/g1^26 + (g2^12*t^8.5*y)/g1^28 + (t^8.75*y)/(g1^8*g2^24) + (2*t^8.75*y)/(g1^10*g2^14) + (3*t^8.75*y)/(g1^12*g2^4) + (g2^6*t^8.75*y)/g1^14 |
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 |
---|---|---|---|---|---|---|---|---|
55629 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_6$ + $ M_4M_7$ | 0.7104 | 0.8752 | 0.8117 | [X:[], M:[1.0303, 0.8402, 0.9697, 1.0648, 0.9352, 0.9697, 0.9352], q:[0.5324, 0.4374], qb:[0.6274, 0.4979], phi:[0.4762]] | t^2.52 + 2*t^2.81 + t^2.86 + 2*t^2.91 + t^3.38 + t^4.05 + t^4.23 + t^4.34 + t^4.42 + t^4.52 + 2*t^4.62 + t^4.8 + t^4.91 + t^5.04 + t^5.19 + 2*t^5.33 + t^5.38 + t^5.43 + 2*t^5.61 + 2*t^5.66 + 3*t^5.71 + 2*t^5.77 + 2*t^5.82 - 4*t^6. - t^4.43/y - t^4.43*y | detail | |
50938 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_6$ + $ M_5\phi_1^2$ | 0.6977 | 0.8557 | 0.8153 | [X:[], M:[1.0564, 0.9812, 0.9436, 0.9812, 1.0188, 0.9436], q:[0.4906, 0.453], qb:[0.5282, 0.5658], phi:[0.4906]] | 2*t^2.83 + 3*t^2.94 + t^3.06 + t^3.28 + t^4.19 + t^4.3 + 2*t^4.42 + 2*t^4.53 + 2*t^4.64 + t^4.75 + t^4.87 + 2*t^5.66 + 4*t^5.77 + 5*t^5.89 - t^6. - t^4.47/y - t^4.47*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 |
---|---|---|---|---|---|---|---|---|---|
46784 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ | 0.7026 | 0.8611 | 0.8159 | [X:[], M:[1.0181, 0.8739, 0.9819, 1.054, 0.946], q:[0.527, 0.4549], qb:[0.5991, 0.4911], phi:[0.482]] | t^2.62 + t^2.84 + t^2.89 + t^2.95 + t^3.05 + t^3.16 + t^3.27 + t^4.18 + t^4.28 + 2*t^4.39 + t^4.5 + 2*t^4.61 + t^4.72 + t^4.82 + t^5.04 + t^5.24 + t^5.46 + t^5.51 + t^5.68 + t^5.73 + t^5.78 + t^5.84 + t^5.89 + t^5.95 - 2*t^6. - t^4.45/y - t^4.45*y | detail |