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 |
---|---|---|---|---|---|---|---|---|---|
55108 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_4M_6$ | 0.6203 | 0.7616 | 0.8145 | [X:[], M:[1.2091, 1.0056, 0.7909, 0.8927, 1.1073, 1.1073], q:[0.4463, 0.3446], qb:[0.5481, 0.7627], phi:[0.4746]] | [X:[], M:[[10], [-38], [-10], [14], [-14], [-14]], q:[[7], [-17]], qb:[[31], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ \phi_1^2$, $ M_2$, $ M_5$, $ M_6$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_1q_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_3M_5$, $ M_3M_6$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_3\phi_1q_2^2$ | . | -2 | t^2.37 + t^2.85 + t^3.02 + 2*t^3.32 + t^3.49 + t^3.63 + t^3.8 + t^3.93 + 2*t^4.1 + t^4.41 + t^4.71 + t^4.75 + t^5.22 + t^5.69 + 2*t^5.86 - 2*t^6. + t^6.03 + 2*t^6.17 - 2*t^6.31 + 3*t^6.34 + t^6.47 + t^6.51 - t^6.61 + 3*t^6.64 + 2*t^6.81 + 3*t^6.95 + t^6.98 + 3*t^7.12 + t^7.25 + t^7.29 + 3*t^7.42 + t^7.56 + 3*t^7.59 + 2*t^7.73 + t^7.9 + 2*t^8.03 + t^8.07 + 2*t^8.2 + t^8.24 + t^8.34 - 2*t^8.37 + t^8.51 + t^8.54 + t^8.64 - 2*t^8.68 + t^8.71 + 2*t^8.81 - 2*t^8.85 + t^8.88 - t^8.98 - t^4.42/y + t^7.1/y - t^7.27/y + t^7.41/y - t^7.44/y + t^7.58/y - t^7.75/y + t^8.22/y + t^8.39/y + (2*t^8.69)/y + (2*t^8.86)/y - t^4.42*y + t^7.1*y - t^7.27*y + t^7.41*y - t^7.44*y + t^7.58*y - t^7.75*y + t^8.22*y + t^8.39*y + 2*t^8.69*y + 2*t^8.86*y | t^2.37/g1^10 + t^2.85/g1^12 + t^3.02/g1^38 + (2*t^3.32)/g1^14 + t^3.49/g1^40 + g1^10*t^3.63 + t^3.8/g1^16 + g1^34*t^3.93 + 2*g1^8*t^4.1 + g1^32*t^4.41 + g1^56*t^4.71 + t^4.75/g1^20 + t^5.22/g1^22 + t^5.69/g1^24 + (2*t^5.86)/g1^50 - 2*t^6. + t^6.03/g1^76 + (2*t^6.17)/g1^26 - 2*g1^24*t^6.31 + (3*t^6.34)/g1^52 + t^6.47/g1^2 + t^6.51/g1^78 - g1^48*t^6.61 + (3*t^6.64)/g1^28 + (2*t^6.81)/g1^54 + (3*t^6.95)/g1^4 + t^6.98/g1^80 + (3*t^7.12)/g1^30 + g1^20*t^7.25 + t^7.29/g1^56 + (3*t^7.42)/g1^6 + g1^44*t^7.56 + (3*t^7.59)/g1^32 + 2*g1^18*t^7.73 + t^7.9/g1^8 + 2*g1^42*t^8.03 + t^8.07/g1^34 + 2*g1^16*t^8.2 + t^8.24/g1^60 + g1^66*t^8.34 - (2*t^8.37)/g1^10 + g1^40*t^8.51 + t^8.54/g1^36 + g1^90*t^8.64 - 2*g1^14*t^8.68 + t^8.71/g1^62 + 2*g1^64*t^8.81 - (2*t^8.85)/g1^12 + t^8.88/g1^88 - g1^38*t^8.98 - t^4.42/(g1^6*y) + (g1^8*t^7.1)/y - t^7.27/(g1^18*y) + (g1^32*t^7.41)/y - t^7.44/(g1^44*y) + (g1^6*t^7.58)/y - t^7.75/(g1^20*y) + t^8.22/(g1^22*y) + t^8.39/(g1^48*y) + (2*t^8.69)/(g1^24*y) + (2*t^8.86)/(g1^50*y) - (t^4.42*y)/g1^6 + g1^8*t^7.1*y - (t^7.27*y)/g1^18 + g1^32*t^7.41*y - (t^7.44*y)/g1^44 + g1^6*t^7.58*y - (t^7.75*y)/g1^20 + (t^8.22*y)/g1^22 + (t^8.39*y)/g1^48 + (2*t^8.69*y)/g1^24 + (2*t^8.86*y)/g1^50 |
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 |
---|---|---|---|---|---|---|---|---|
56784 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_4M_6$ + $ M_1M_7$ | 0.6374 | 0.7922 | 0.8046 | [X:[], M:[1.2115, 0.9961, 0.7885, 0.8962, 1.1038, 1.1038, 0.7885], q:[0.4481, 0.3404], qb:[0.5558, 0.7635], phi:[0.4731]] | 2*t^2.37 + t^2.84 + t^2.99 + 2*t^3.31 + t^3.46 + t^3.78 + t^3.96 + 2*t^4.11 + t^4.43 + 3*t^4.73 + t^4.75 + 2*t^5.2 + t^5.35 + 3*t^5.68 + 3*t^5.83 + t^5.98 - 3*t^6. - t^4.42/y - t^4.42*y | detail | |
56782 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_4M_6$ + $ M_2\phi_1^2$ | 0.6194 | 0.7594 | 0.8156 | [X:[], M:[1.2, 1.04, 0.8, 0.88, 1.12, 1.12], q:[0.44, 0.36], qb:[0.52, 0.76], phi:[0.48]] | t^2.4 + t^2.88 + t^3.12 + 2*t^3.36 + 2*t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + t^4.8 + t^5.28 + t^5.76 - t^4.44/y - t^4.44*y | detail | {a: 9678/15625, c: 23731/31250, M1: 6/5, M2: 26/25, M3: 4/5, M4: 22/25, M5: 28/25, M6: 28/25, q1: 11/25, q2: 9/25, qb1: 13/25, qb2: 19/25, phi1: 12/25} |
56783 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_4M_6$ + $ M_7\phi_1^2$ | 0.6159 | 0.7536 | 0.8172 | [X:[], M:[1.2041, 1.0243, 0.7959, 0.8858, 1.1142, 1.1142, 1.045], q:[0.4429, 0.353], qb:[0.5328, 0.7612], phi:[0.4775]] | t^2.39 + t^3.07 + t^3.13 + 2*t^3.34 + t^3.55 + t^3.61 + t^3.82 + t^3.88 + 2*t^4.09 + t^4.36 + t^4.63 + t^4.78 + t^5.52 + t^5.94 - 2*t^6. - t^4.43/y - t^4.43*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 |
---|---|---|---|---|---|---|---|---|---|
47054 | 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$ + $ \phi_1\tilde{q}_2^2$ | 0.6303 | 0.778 | 0.8102 | [X:[], M:[1.2039, 1.0252, 0.7961, 0.8855, 1.1145], q:[0.4427, 0.3534], qb:[0.5321, 0.7612], phi:[0.4777]] | t^2.39 + t^2.66 + t^2.87 + t^3.08 + t^3.34 + t^3.55 + t^3.61 + t^3.82 + t^3.88 + 2*t^4.09 + t^4.36 + t^4.63 + t^4.78 + t^5.04 + t^5.25 + t^5.31 + t^5.52 + t^5.73 + 2*t^5.94 - t^6. - t^4.43/y - t^4.43*y | detail |