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 |
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6715 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ + $ M_8q_1\tilde{q}_1$ + $ M_9q_1\tilde{q}_2$ | 0.6803 | 0.9165 | 0.7423 | [X:[], M:[0.9615, 1.1156, 0.9615, 0.8844, 0.7018, 0.6733, 0.8844, 0.7789, 0.8559], q:[0.7404, 0.2982], qb:[0.4807, 0.4037], phi:[0.5193]] | [X:[], M:[[4], [-12], [4], [12], [5], [-18], [12], [-3], [-11]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_6$, $ M_5$, $ q_2\tilde{q}_2$, $ M_8$, $ q_2\tilde{q}_1$, $ M_9$, $ M_4$, $ M_7$, $ M_1$, $ M_3$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_5M_6$, $ M_6q_2\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_6M_8$, $ M_6q_2\tilde{q}_1$, $ M_5M_8$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_8q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_6M_9$, $ M_4M_6$, $ M_6M_7$, $ M_8^2$, $ M_5M_9$, $ \phi_1q_1q_2$, $ M_8q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_9q_2\tilde{q}_2$, $ M_4M_5$, $ M_5M_7$, $ M_4q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_1M_6$, $ M_3M_6$, $ M_8M_9$, $ M_9q_2\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ M_4M_8$, $ M_7M_8$, $ M_4q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_9^2$, $ M_1M_8$, $ M_3M_8$, $ M_4M_9$, $ M_7M_9$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_1M_9$, $ M_3M_9$, $ M_1M_4$, $ M_3M_4$, $ M_1M_7$, $ M_3M_7$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_8\phi_1q_2\tilde{q}_2$ | -2 | t^2.02 + 2*t^2.11 + 2*t^2.34 + t^2.57 + 2*t^2.65 + 2*t^2.88 + t^3.66 + t^4.04 + 2*t^4.13 + 4*t^4.21 + 2*t^4.36 + 5*t^4.44 + t^4.59 + 7*t^4.67 + 4*t^4.76 + 4*t^4.9 + 8*t^4.99 + t^5.14 + 6*t^5.22 + 3*t^5.31 + t^5.45 + 4*t^5.54 + 3*t^5.77 - 2*t^6. + t^6.06 + 2*t^6.15 + 2*t^6.23 + 6*t^6.32 + 2*t^6.38 + 5*t^6.46 + 8*t^6.55 + t^6.61 + 7*t^6.69 + 12*t^6.78 + 7*t^6.86 + 4*t^6.92 + 14*t^7.01 + 16*t^7.1 + t^7.16 + 10*t^7.24 + 18*t^7.33 + 6*t^7.41 + 3*t^7.47 + 11*t^7.56 + 13*t^7.64 + t^7.7 + 3*t^7.79 + 13*t^7.87 + 4*t^7.96 - 3*t^8.02 + t^8.08 - 2*t^8.11 + 2*t^8.17 + 6*t^8.19 + t^8.25 - 6*t^8.34 + 2*t^8.4 + 10*t^8.42 + 5*t^8.48 - 2*t^8.57 + t^8.63 + 4*t^8.65 + 7*t^8.71 + 10*t^8.8 + 6*t^8.88 + 4*t^8.94 + 9*t^8.97 - t^4.56/y - t^6.58/y - t^6.66/y - t^6.89/y + t^7.13/y + (2*t^7.36)/y + (3*t^7.44)/y + t^7.59/y + (6*t^7.67)/y + (4*t^7.76)/y + (5*t^7.9)/y + (9*t^7.99)/y + (7*t^8.22)/y + t^8.31/y + (3*t^8.45)/y + (5*t^8.54)/y - t^8.6/y + (2*t^8.77)/y - t^8.91/y - t^4.56*y - t^6.58*y - t^6.66*y - t^6.89*y + t^7.13*y + 2*t^7.36*y + 3*t^7.44*y + t^7.59*y + 6*t^7.67*y + 4*t^7.76*y + 5*t^7.9*y + 9*t^7.99*y + 7*t^8.22*y + t^8.31*y + 3*t^8.45*y + 5*t^8.54*y - t^8.6*y + 2*t^8.77*y - t^8.91*y | t^2.02/g1^18 + 2*g1^5*t^2.11 + (2*t^2.34)/g1^3 + t^2.57/g1^11 + 2*g1^12*t^2.65 + 2*g1^4*t^2.88 + g1^3*t^3.66 + t^4.04/g1^36 + (2*t^4.13)/g1^13 + 4*g1^10*t^4.21 + (2*t^4.36)/g1^21 + 5*g1^2*t^4.44 + t^4.59/g1^29 + (7*t^4.67)/g1^6 + 4*g1^17*t^4.76 + (4*t^4.9)/g1^14 + 8*g1^9*t^4.99 + t^5.14/g1^22 + 6*g1*t^5.22 + 3*g1^24*t^5.31 + t^5.45/g1^7 + 4*g1^16*t^5.54 + 3*g1^8*t^5.77 - 2*t^6. + t^6.06/g1^54 + (2*t^6.15)/g1^31 + (2*t^6.23)/g1^8 + 6*g1^15*t^6.32 + (2*t^6.38)/g1^39 + (5*t^6.46)/g1^16 + 8*g1^7*t^6.55 + t^6.61/g1^47 + (7*t^6.69)/g1^24 + (12*t^6.78)/g1 + 7*g1^22*t^6.86 + (4*t^6.92)/g1^32 + (14*t^7.01)/g1^9 + 16*g1^14*t^7.1 + t^7.16/g1^40 + (10*t^7.24)/g1^17 + 18*g1^6*t^7.33 + 6*g1^29*t^7.41 + (3*t^7.47)/g1^25 + (11*t^7.56)/g1^2 + 13*g1^21*t^7.64 + t^7.7/g1^33 + (3*t^7.79)/g1^10 + 13*g1^13*t^7.87 + 4*g1^36*t^7.96 - (3*t^8.02)/g1^18 + t^8.08/g1^72 - 2*g1^5*t^8.11 + (2*t^8.17)/g1^49 + 6*g1^28*t^8.19 + t^8.25/g1^26 - (6*t^8.34)/g1^3 + (2*t^8.4)/g1^57 + 10*g1^20*t^8.42 + (5*t^8.48)/g1^34 - (2*t^8.57)/g1^11 + t^8.63/g1^65 + 4*g1^12*t^8.65 + (7*t^8.71)/g1^42 + (10*t^8.8)/g1^19 + 6*g1^4*t^8.88 + (4*t^8.94)/g1^50 + 9*g1^27*t^8.97 - t^4.56/(g1^2*y) - t^6.58/(g1^20*y) - (g1^3*t^6.66)/y - t^6.89/(g1^5*y) + t^7.13/(g1^13*y) + (2*t^7.36)/(g1^21*y) + (3*g1^2*t^7.44)/y + t^7.59/(g1^29*y) + (6*t^7.67)/(g1^6*y) + (4*g1^17*t^7.76)/y + (5*t^7.9)/(g1^14*y) + (9*g1^9*t^7.99)/y + (7*g1*t^8.22)/y + (g1^24*t^8.31)/y + (3*t^8.45)/(g1^7*y) + (5*g1^16*t^8.54)/y - t^8.6/(g1^38*y) + (2*g1^8*t^8.77)/y - t^8.91/(g1^23*y) - (t^4.56*y)/g1^2 - (t^6.58*y)/g1^20 - g1^3*t^6.66*y - (t^6.89*y)/g1^5 + (t^7.13*y)/g1^13 + (2*t^7.36*y)/g1^21 + 3*g1^2*t^7.44*y + (t^7.59*y)/g1^29 + (6*t^7.67*y)/g1^6 + 4*g1^17*t^7.76*y + (5*t^7.9*y)/g1^14 + 9*g1^9*t^7.99*y + 7*g1*t^8.22*y + g1^24*t^8.31*y + (3*t^8.45*y)/g1^7 + 5*g1^16*t^8.54*y - (t^8.6*y)/g1^38 + 2*g1^8*t^8.77*y - (t^8.91*y)/g1^23 |
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 |
---|---|---|---|---|---|---|---|---|---|
5153 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ q_1q_2\tilde{q}_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ + $ M_8q_1\tilde{q}_1$ | 0.6684 | 0.897 | 0.7451 | [X:[], M:[0.9548, 1.1357, 0.9548, 0.8643, 0.6935, 0.7036, 0.8643, 0.7839], q:[0.7387, 0.3065], qb:[0.4774, 0.3869], phi:[0.5226]] | 2*t^2.08 + t^2.11 + 2*t^2.35 + 2*t^2.59 + 2*t^2.86 + t^3.38 + t^3.65 + 4*t^4.16 + 2*t^4.19 + t^4.22 + 5*t^4.43 + 2*t^4.46 + 4*t^4.67 + 5*t^4.7 + 8*t^4.94 + 2*t^4.97 + 3*t^5.19 + 4*t^5.22 + 6*t^5.46 + 5*t^5.73 + 2*t^5.97 - 2*t^6. - t^4.57/y - t^4.57*y | detail |