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 |
---|---|---|---|---|---|---|---|---|---|
691 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ | 0.6687 | 0.8234 | 0.8121 | [X:[], M:[1.0874, 1.0874, 1.0193, 0.9126, 0.6991], q:[0.7718, 0.4223], qb:[0.4903, 0.4903], phi:[0.4563]] | [X:[], M:[[4], [4], [-22], [-4], [32]], q:[[1], [-15]], qb:[[11], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_3M_5$, $ M_1M_5$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_5q_1q_2$, $ M_5q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$ | $M_1\phi_1^2$ | -3 | 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^6.12 + t^6.29 + 2*t^6.32 + 3*t^6.41 + 2*t^6.52 + t^6.64 + 4*t^6.84 + 2*t^6.93 + 5*t^7.05 + t^7.25 + t^7.37 + t^7.46 + 4*t^7.57 + t^7.78 + 3*t^7.89 + 2*t^7.98 + t^8.1 + 4*t^8.21 + t^8.39 + 4*t^8.42 + 3*t^8.51 - t^8.53 + 7*t^8.62 - 6*t^8.74 - t^4.37/y - t^6.47/y + t^7.31/y - t^7.43/y + (2*t^7.84)/y + t^8.16/y + t^8.27/y + t^8.36/y + t^8.48/y - t^8.56/y + t^8.68/y + (2*t^8.8)/y + (2*t^8.88)/y - t^4.37*y - t^6.47*y + t^7.31*y - t^7.43*y + 2*t^7.84*y + t^8.16*y + t^8.27*y + t^8.36*y + t^8.48*y - t^8.56*y + t^8.68*y + 2*t^8.8*y + 2*t^8.88*y | g1^32*t^2.1 + (2*t^2.74)/g1^4 + t^3.06/g1^22 + g1^4*t^3.26 + t^3.58/g1^14 + 2*g1^12*t^3.79 + (2*t^4.11)/g1^6 + g1^64*t^4.19 + 3*g1^20*t^4.31 + 2*g1^28*t^4.84 + g1^10*t^5.16 + g1^36*t^5.36 + (3*t^5.48)/g1^8 + g1^18*t^5.68 + 2*g1^44*t^5.88 - 3*t^6. + t^6.12/g1^44 + g1^96*t^6.29 + (2*t^6.32)/g1^18 + 3*g1^52*t^6.41 + 2*g1^8*t^6.52 + t^6.64/g1^36 + (4*t^6.84)/g1^10 + 2*g1^60*t^6.93 + 5*g1^16*t^7.05 + g1^42*t^7.25 + t^7.37/g1^2 + g1^68*t^7.46 + 4*g1^24*t^7.57 + g1^50*t^7.78 + 3*g1^6*t^7.89 + 2*g1^76*t^7.98 + g1^32*t^8.1 + (4*t^8.21)/g1^12 + g1^128*t^8.39 + 4*g1^14*t^8.42 + 3*g1^84*t^8.51 - t^8.53/g1^30 + 7*g1^40*t^8.62 - (6*t^8.74)/g1^4 - t^4.37/(g1^2*y) - (g1^30*t^6.47)/y + (g1^20*t^7.31)/y - t^7.43/(g1^24*y) + (2*g1^28*t^7.84)/y + (g1^10*t^8.16)/y + t^8.27/(g1^34*y) + (g1^36*t^8.36)/y + t^8.48/(g1^8*y) - (g1^62*t^8.56)/y + (g1^18*t^8.68)/y + (2*t^8.8)/(g1^26*y) + (2*g1^44*t^8.88)/y - (t^4.37*y)/g1^2 - g1^30*t^6.47*y + g1^20*t^7.31*y - (t^7.43*y)/g1^24 + 2*g1^28*t^7.84*y + g1^10*t^8.16*y + (t^8.27*y)/g1^34 + g1^36*t^8.36*y + (t^8.48*y)/g1^8 - g1^62*t^8.56*y + g1^18*t^8.68*y + (2*t^8.8*y)/g1^26 + 2*g1^44*t^8.88*y |
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 |
---|---|---|---|---|---|---|---|---|
1113 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_1M_6$ | 0.6767 | 0.8366 | 0.8089 | [X:[], M:[1.0884, 1.0884, 1.0137, 0.9116, 0.7073, 0.9116], q:[0.7721, 0.4184], qb:[0.4931, 0.4931], phi:[0.4558]] | t^2.12 + 3*t^2.73 + t^3.04 + t^3.57 + 2*t^3.8 + 2*t^4.1 + t^4.24 + 3*t^4.33 + 3*t^4.86 + t^5.16 + 6*t^5.47 + t^5.69 + t^5.78 + 2*t^5.92 - 5*t^6. - t^4.37/y - t^4.37*y | detail | |
1112 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ | 0.613 | 0.7537 | 0.8134 | [X:[], M:[1.125, 1.125, 0.8125, 0.875, 1.0], q:[0.7812, 0.2812], qb:[0.5938, 0.5938], phi:[0.4375]] | t^2.44 + 2*t^2.62 + t^3. + t^3.19 + t^3.38 + 2*t^3.94 + 2*t^4.12 + 4*t^4.88 + 3*t^5.25 + t^5.44 + 3*t^5.62 + 2*t^5.81 - 2*t^6. - t^4.31/y - t^4.31*y | detail | {a: 2511/4096, c: 3087/4096, M1: 9/8, M2: 9/8, M3: 13/16, M4: 7/8, M5: 1, q1: 25/32, q2: 9/32, qb1: 19/32, qb2: 19/32, phi1: 7/16} |
1114 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_6q_1q_2$ | 0.6851 | 0.8534 | 0.8028 | [X:[], M:[1.085, 1.085, 1.0326, 0.915, 0.6799, 0.7975], q:[0.7712, 0.4313], qb:[0.4837, 0.4837], phi:[0.4575]] | 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^4.37/y - t^4.37*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 |
---|---|---|---|---|---|---|---|---|---|
419 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_4$ + $ M_1M_4$ | 0.6483 | 0.7846 | 0.8263 | [X:[], M:[1.09, 1.09, 1.005, 0.91], q:[0.7725, 0.4125], qb:[0.4975, 0.4975], phi:[0.455]] | 2*t^2.73 + t^3.02 + t^3.27 + t^3.56 + 2*t^3.81 + t^3.84 + 2*t^4.1 + 3*t^4.35 + 3*t^5.46 - 3*t^6. - t^4.37/y - t^4.37*y | detail |