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 |
---|---|---|---|---|---|---|---|---|---|
3897 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ | 0.68 | 0.8625 | 0.7884 | [X:[], M:[0.816, 1.0613, 1.184, 0.6933, 0.6933, 1.04, 0.9387], q:[0.4187, 0.7653], qb:[0.3973, 0.5413], phi:[0.4693]] | [X:[], M:[[-12], [4], [12], [-20], [-20], [-30], [-4]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_5$, $ M_1$, $ M_7$, $ \phi_1^2$, $ M_6$, $ q_2\tilde{q}_1$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_5$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_4M_7$, $ M_5M_7$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_6$, $ M_5M_6$, $ M_1M_7$, $ M_1\phi_1^2$, $ M_1M_6$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_3M_4$, $ M_3M_5$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_6M_7$, $ M_6\phi_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_5\phi_1q_1\tilde{q}_1$ | . | -2 | 2*t^2.08 + t^2.45 + 2*t^2.82 + t^3.12 + t^3.49 + t^3.55 + t^3.79 + t^3.86 + 3*t^4.16 + t^4.22 + t^4.29 + 2*t^4.53 + t^4.66 + 5*t^4.9 + 2*t^5.2 + 2*t^5.26 + 2*t^5.57 + 4*t^5.63 + 2*t^5.87 + 4*t^5.94 - 2*t^6. - t^6.06 + 6*t^6.24 + 4*t^6.3 + t^6.37 - t^6.43 + 6*t^6.61 + 2*t^6.67 + t^6.74 + t^6.91 + 8*t^6.98 + t^7.1 + 4*t^7.28 + 6*t^7.34 - 2*t^7.41 + t^7.58 + 4*t^7.65 + 9*t^7.71 - 2*t^7.84 + 3*t^7.95 + 8*t^8.02 - 2*t^8.08 - 3*t^8.14 + 9*t^8.32 + 7*t^8.38 + 2*t^8.45 - 3*t^8.51 + 11*t^8.69 + 7*t^8.75 - 6*t^8.82 - 2*t^8.88 + t^8.94 + 2*t^8.99 - t^4.41/y - (2*t^6.49)/y + t^7.16/y - t^7.22/y + t^7.29/y + t^7.53/y + t^7.59/y + (4*t^7.9)/y + (2*t^8.2)/y + (2*t^8.26)/y + (2*t^8.33)/y + (3*t^8.63)/y + (2*t^8.87)/y + (5*t^8.94)/y - t^4.41*y - 2*t^6.49*y + t^7.16*y - t^7.22*y + t^7.29*y + t^7.53*y + t^7.59*y + 4*t^7.9*y + 2*t^8.2*y + 2*t^8.26*y + 2*t^8.33*y + 3*t^8.63*y + 2*t^8.87*y + 5*t^8.94*y | (2*t^2.08)/g1^20 + t^2.45/g1^12 + (2*t^2.82)/g1^4 + t^3.12/g1^30 + t^3.49/g1^22 + g1^12*t^3.55 + t^3.79/g1^48 + t^3.86/g1^14 + (3*t^4.16)/g1^40 + t^4.22/g1^6 + g1^28*t^4.29 + (2*t^4.53)/g1^32 + g1^36*t^4.66 + (5*t^4.9)/g1^24 + (2*t^5.2)/g1^50 + (2*t^5.26)/g1^16 + (2*t^5.57)/g1^42 + (4*t^5.63)/g1^8 + (2*t^5.87)/g1^68 + (4*t^5.94)/g1^34 - 2*t^6. - g1^34*t^6.06 + (6*t^6.24)/g1^60 + (4*t^6.3)/g1^26 + g1^8*t^6.37 - g1^42*t^6.43 + (6*t^6.61)/g1^52 + (2*t^6.67)/g1^18 + g1^16*t^6.74 + t^6.91/g1^78 + (8*t^6.98)/g1^44 + g1^24*t^7.1 + (4*t^7.28)/g1^70 + (6*t^7.34)/g1^36 - (2*t^7.41)/g1^2 + t^7.58/g1^96 + (4*t^7.65)/g1^62 + (9*t^7.71)/g1^28 - 2*g1^40*t^7.84 + (3*t^7.95)/g1^88 + (8*t^8.02)/g1^54 - (2*t^8.08)/g1^20 - 3*g1^14*t^8.14 + (9*t^8.32)/g1^80 + (7*t^8.38)/g1^46 + (2*t^8.45)/g1^12 - 3*g1^22*t^8.51 + (11*t^8.69)/g1^72 + (7*t^8.75)/g1^38 - (6*t^8.82)/g1^4 - 2*g1^30*t^8.88 + g1^64*t^8.94 + (2*t^8.99)/g1^98 - t^4.41/(g1^2*y) - (2*t^6.49)/(g1^22*y) + t^7.16/(g1^40*y) - t^7.22/(g1^6*y) + (g1^28*t^7.29)/y + t^7.53/(g1^32*y) + (g1^2*t^7.59)/y + (4*t^7.9)/(g1^24*y) + (2*t^8.2)/(g1^50*y) + (2*t^8.26)/(g1^16*y) + (2*g1^18*t^8.33)/y + (3*t^8.63)/(g1^8*y) + (2*t^8.87)/(g1^68*y) + (5*t^8.94)/(g1^34*y) - (t^4.41*y)/g1^2 - (2*t^6.49*y)/g1^22 + (t^7.16*y)/g1^40 - (t^7.22*y)/g1^6 + g1^28*t^7.29*y + (t^7.53*y)/g1^32 + g1^2*t^7.59*y + (4*t^7.9*y)/g1^24 + (2*t^8.2*y)/g1^50 + (2*t^8.26*y)/g1^16 + 2*g1^18*t^8.33*y + (3*t^8.63*y)/g1^8 + (2*t^8.87*y)/g1^68 + (5*t^8.94*y)/g1^34 |
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 |
---|---|---|---|---|---|---|---|---|
5481 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.7003 | 0.9002 | 0.7779 | [X:[], M:[0.8178, 1.0607, 1.1822, 0.6964, 0.6964, 1.0445, 0.9393, 0.7125], q:[0.417, 0.7652], qb:[0.4008, 0.5385], phi:[0.4696]] | 2*t^2.09 + t^2.14 + t^2.45 + 2*t^2.82 + t^3.13 + t^3.5 + t^3.55 + t^3.81 + 3*t^4.18 + 3*t^4.23 + 2*t^4.28 + 2*t^4.54 + t^4.59 + t^4.64 + 5*t^4.91 + 2*t^4.96 + 2*t^5.22 + 3*t^5.27 + 2*t^5.59 + 5*t^5.64 + t^5.68 + 2*t^5.9 + 3*t^5.95 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
5480 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7 | 0.8986 | 0.779 | [X:[], M:[0.8221, 1.0593, 1.1779, 0.7035, 0.7035, 1.0553, 0.9407, 0.7115], q:[0.4131, 0.7648], qb:[0.4091, 0.5316], phi:[0.4704]] | 2*t^2.11 + t^2.13 + t^2.47 + 2*t^2.82 + t^3.17 + t^3.52 + t^3.53 + t^3.88 + 3*t^4.22 + t^4.23 + 3*t^4.25 + t^4.27 + 2*t^4.58 + 2*t^4.6 + 5*t^4.93 + 2*t^4.96 + 2*t^5.28 + 2*t^5.29 + t^5.3 + 2*t^5.63 + 4*t^5.64 + t^5.66 + t^5.67 + 4*t^5.99 - 2*t^6. - t^4.41/y - t^4.41*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 |
---|---|---|---|---|---|---|---|---|---|
3411 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.6744 | 0.8525 | 0.7911 | [X:[], M:[0.818, 1.0607, 1.182, 0.6966, 0.6966, 1.0449], q:[0.4169, 0.7652], qb:[0.4011, 0.5382], phi:[0.4697]] | 2*t^2.09 + t^2.45 + t^2.82 + t^3.13 + t^3.18 + t^3.5 + t^3.55 + t^3.82 + t^3.86 + 3*t^4.18 + t^4.23 + t^4.27 + 2*t^4.54 + t^4.64 + 3*t^4.91 + 2*t^5.22 + 3*t^5.27 + 2*t^5.59 + 3*t^5.64 + 2*t^5.91 + 3*t^5.95 - t^6. - t^4.41/y - t^4.41*y | detail |