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 |
---|---|---|---|---|---|---|---|---|---|
55085 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_1M_4$ + $ M_6q_2\tilde{q}_2$ | 0.6851 | 0.8534 | 0.8028 | [X:[], M:[1.085, 1.0326, 1.085, 0.915, 0.6799, 0.7975], q:[0.4837, 0.4313], qb:[0.4837, 0.7712], phi:[0.4575]] | [X:[], M:[[4], [-22], [4], [-4], [32], [14]], q:[[11], [-15]], qb:[[11], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_5M_6$, $ M_4M_5$, $ M_6^2$, $ M_5\phi_1^2$, $ M_2M_5$, $ M_4M_6$, $ M_6\phi_1^2$, $ M_1M_5$, $ M_4^2$, $ M_2M_6$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_5q_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_1\phi_1^2$ | -3 | t^2.04 + t^2.39 + 2*t^2.75 + t^3.1 + t^3.25 + 2*t^3.76 + t^4.08 + 2*t^4.12 + 3*t^4.27 + t^4.43 + 3*t^4.78 + 3*t^5.14 + t^5.29 + 4*t^5.49 + t^5.65 + 2*t^5.8 - 3*t^6. + t^6.12 + 2*t^6.16 + t^6.2 + 3*t^6.31 + t^6.47 + 4*t^6.51 + 3*t^6.67 + 3*t^6.82 + 3*t^6.86 + 5*t^7.02 + 4*t^7.18 - t^7.22 + t^7.33 - t^7.37 + 7*t^7.53 + t^7.69 - 2*t^7.73 + 2*t^7.84 + 4*t^7.88 + 2*t^8.04 + t^8.16 + 2*t^8.2 + 4*t^8.24 + 3*t^8.35 - t^8.39 + t^8.51 + 9*t^8.55 + 3*t^8.71 - 7*t^8.75 + 3*t^8.86 + 3*t^8.9 - t^4.37/y - t^6.41/y - t^6.76/y + t^7.27/y + t^7.43/y - t^7.47/y + (2*t^7.78)/y + t^7.98/y + (3*t^8.14)/y + t^8.29/y + t^8.33/y - t^8.45/y + (2*t^8.49)/y + t^8.65/y + t^8.8/y + (2*t^8.84)/y - t^4.37*y - t^6.41*y - t^6.76*y + t^7.27*y + t^7.43*y - t^7.47*y + 2*t^7.78*y + t^7.98*y + 3*t^8.14*y + t^8.29*y + t^8.33*y - t^8.45*y + 2*t^8.49*y + t^8.65*y + t^8.8*y + 2*t^8.84*y | g1^32*t^2.04 + g1^14*t^2.39 + (2*t^2.75)/g1^4 + t^3.1/g1^22 + g1^4*t^3.25 + 2*g1^12*t^3.76 + g1^64*t^4.08 + (2*t^4.12)/g1^6 + 3*g1^20*t^4.27 + g1^46*t^4.43 + 3*g1^28*t^4.78 + 3*g1^10*t^5.14 + g1^36*t^5.29 + (4*t^5.49)/g1^8 + g1^18*t^5.65 + 2*g1^44*t^5.8 - 3*t^6. + g1^96*t^6.12 + 2*g1^26*t^6.16 + t^6.2/g1^44 + 3*g1^52*t^6.31 + g1^78*t^6.47 + 4*g1^8*t^6.51 + 3*g1^34*t^6.67 + 3*g1^60*t^6.82 + (3*t^6.86)/g1^10 + 5*g1^16*t^7.02 + 4*g1^42*t^7.18 - t^7.22/g1^28 + g1^68*t^7.33 - t^7.37/g1^2 + 7*g1^24*t^7.53 + g1^50*t^7.69 - (2*t^7.73)/g1^20 + 2*g1^76*t^7.84 + 4*g1^6*t^7.88 + 2*g1^32*t^8.04 + g1^128*t^8.16 + 2*g1^58*t^8.2 + (4*t^8.24)/g1^12 + 3*g1^84*t^8.35 - g1^14*t^8.39 + g1^110*t^8.51 + 9*g1^40*t^8.55 + 3*g1^66*t^8.71 - (7*t^8.75)/g1^4 + 3*g1^92*t^8.86 + 3*g1^22*t^8.9 - t^4.37/(g1^2*y) - (g1^30*t^6.41)/y - (g1^12*t^6.76)/y + (g1^20*t^7.27)/y + (g1^46*t^7.43)/y - t^7.47/(g1^24*y) + (2*g1^28*t^7.78)/y + t^7.98/(g1^16*y) + (3*g1^10*t^8.14)/y + (g1^36*t^8.29)/y + t^8.33/(g1^34*y) - (g1^62*t^8.45)/y + (2*t^8.49)/(g1^8*y) + (g1^18*t^8.65)/y + (g1^44*t^8.8)/y + (2*t^8.84)/(g1^26*y) - (t^4.37*y)/g1^2 - g1^30*t^6.41*y - g1^12*t^6.76*y + g1^20*t^7.27*y + g1^46*t^7.43*y - (t^7.47*y)/g1^24 + 2*g1^28*t^7.78*y + (t^7.98*y)/g1^16 + 3*g1^10*t^8.14*y + g1^36*t^8.29*y + (t^8.33*y)/g1^34 - g1^62*t^8.45*y + (2*t^8.49*y)/g1^8 + g1^18*t^8.65*y + g1^44*t^8.8*y + (2*t^8.84*y)/g1^26 |
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 |
---|---|---|---|---|---|---|---|---|
56685 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_1M_4$ + $ M_6q_2\tilde{q}_2$ + $ M_5M_6$ | 0.6008 | 0.7421 | 0.8096 | [X:[], M:[1.1304, 0.7826, 1.1304, 0.8696, 1.0435, 0.9565], q:[0.6087, 0.2609], qb:[0.6087, 0.7826], phi:[0.4348]] | t^2.35 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.39 + 2*t^3.91 + 2*t^4.17 + t^4.7 + 3*t^4.96 + 4*t^5.22 + 3*t^5.48 + 3*t^5.74 - 2*t^6. - t^4.3/y - t^4.3*y | detail | {a: 14619/24334, c: 36115/48668, M1: 26/23, M2: 18/23, M3: 26/23, M4: 20/23, M5: 24/23, M6: 22/23, q1: 14/23, q2: 6/23, qb1: 14/23, qb2: 18/23, phi1: 10/23} |
56684 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_1M_4$ + $ M_6q_2\tilde{q}_2$ + $ M_5^2$ | 0.6188 | 0.7634 | 0.8107 | [X:[], M:[1.125, 0.8125, 1.125, 0.875, 1.0, 0.9375], q:[0.5938, 0.2812], qb:[0.5938, 0.7812], phi:[0.4375]] | t^2.44 + 2*t^2.62 + t^2.81 + t^3. + t^3.38 + 2*t^3.94 + 2*t^4.12 + 4*t^4.88 + 4*t^5.25 + 3*t^5.44 + 3*t^5.62 + t^5.81 - 2*t^6. - t^4.31/y - t^4.31*y | detail | {a: 81111/131072, c: 100055/131072, M1: 9/8, M2: 13/16, M3: 9/8, M4: 7/8, M5: 1, M6: 15/16, q1: 19/32, q2: 9/32, qb1: 19/32, qb2: 25/32, phi1: 7/16} |
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 |
---|---|---|---|---|---|---|---|---|---|
47020 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_3M_4$ + $ M_5\phi_1q_2^2$ + $ M_1M_4$ | 0.6687 | 0.8234 | 0.8121 | [X:[], M:[1.0874, 1.0193, 1.0874, 0.9126, 0.6991], q:[0.4903, 0.4223], qb:[0.4903, 0.7718], phi:[0.4563]] | t^2.1 + 2*t^2.74 + t^3.06 + t^3.26 + t^3.58 + 2*t^3.79 + 2*t^4.11 + t^4.19 + 3*t^4.31 + 2*t^4.84 + t^5.16 + t^5.36 + 3*t^5.48 + t^5.68 + 2*t^5.88 - 3*t^6. - t^4.37/y - t^4.37*y | detail |