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 |
---|---|---|---|---|---|---|---|---|---|
44978 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ | 1.8097 | 1.9292 | 0.9381 | [X:[], M:[0.8324, 1.0547], q:[0.448, 0.4726], qb:[], phi:[0.3598]] | [X:[], M:[[-1, 2], [0, -6]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ M_1$, $ q_1^2$, $ q_1q_2$, $ M_2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_1q_1^2$, $ M_1q_1q_2$, $ M_2\phi_1^2$, $ q_1^4$, $ q_1^3q_2$, $ q_1^2q_2^2$, $ M_1M_2$, $ \phi_1^4q_2$, $ M_2q_1^2$ | $2\phi_1^3q_1q_2$ | 0 | t^2.16 + t^2.5 + t^2.69 + t^2.76 + t^3.16 + t^3.58 + t^3.84 + 2*t^4.32 + t^4.66 + 2*t^4.85 + 2*t^4.92 + 2*t^4.99 + t^5.19 + t^5.26 + t^5.32 + t^5.38 + t^5.45 + t^5.52 + t^5.66 + t^5.74 + t^5.85 + t^6.26 + t^6.33 + 2*t^6.34 + 2*t^6.48 + t^6.53 + t^6.6 + t^6.81 + 3*t^7.01 + 2*t^7.08 + 2*t^7.15 + 2*t^7.34 + 3*t^7.42 + 2*t^7.48 + 2*t^7.49 + 2*t^7.53 + 3*t^7.61 + 4*t^7.68 + 2*t^7.76 + t^7.82 + t^7.87 + 2*t^7.89 + t^7.95 + 2*t^8.01 + t^8.02 + t^8.06 + t^8.14 + 2*t^8.16 + t^8.21 - t^8.23 + t^8.29 + t^8.35 + t^8.42 + t^8.49 + t^8.5 + t^8.54 + t^8.57 + 3*t^8.64 + t^8.83 + t^8.84 + t^8.95 + t^8.97 - t^4.08/y - t^5.42/y - t^5.5/y - (2*t^6.24)/y - t^6.58/y - t^6.77/y - t^6.84/y - t^7.24/y - t^7.58/y - t^7.66/y + t^7.85/y - t^7.99/y - t^8.11/y - t^8.19/y + t^8.32/y - (3*t^8.4)/y + t^8.45/y - t^8.59/y + t^8.66/y + t^8.85/y - t^8.93/y - t^4.08*y - t^5.42*y - t^5.5*y - 2*t^6.24*y - t^6.58*y - t^6.77*y - t^6.84*y - t^7.24*y - t^7.58*y - t^7.66*y + t^7.85*y - t^7.99*y - t^8.11*y - t^8.19*y + t^8.32*y - 3*t^8.4*y + t^8.45*y - t^8.59*y + t^8.66*y + t^8.85*y - t^8.93*y | t^2.16/(g1^2*g2^2) + (g2^2*t^2.5)/g1 + g1^6*t^2.69 + g1^3*g2^3*t^2.76 + t^3.16/g2^6 + (g2*t^3.58)/g1^2 + g1^2*g2^2*t^3.84 + (2*t^4.32)/(g1^4*g2^4) + t^4.66/g1^3 + (2*g1^4*t^4.85)/g2^2 + 2*g1*g2*t^4.92 + (2*g2^4*t^4.99)/g1^2 + g1^5*g2^2*t^5.19 + g1^2*g2^5*t^5.26 + t^5.32/(g1^2*g2^8) + g1^12*t^5.38 + g1^9*g2^3*t^5.45 + g1^6*g2^6*t^5.52 + t^5.66/(g1*g2^4) + t^5.74/(g1^4*g2) + (g1^6*t^5.85)/g2^6 + g1^4*g2*t^6.26 + t^6.33/g2^12 + 2*g1*g2^4*t^6.34 + (2*t^6.48)/(g1^6*g2^6) + g1^8*g2^2*t^6.53 + g1^5*g2^5*t^6.6 + t^6.81/(g1^5*g2^2) + (3*g1^2*t^7.01)/g2^4 + (2*t^7.08)/(g1*g2) + (2*g2^2*t^7.15)/g1^4 + 2*g1^3*t^7.34 + 3*g2^3*t^7.42 + (2*t^7.48)/(g1^4*g2^10) + (2*g2^6*t^7.49)/g1^3 + (2*g1^10*t^7.53)/g2^2 + 3*g1^7*g2*t^7.61 + 4*g1^4*g2^4*t^7.68 + 2*g1*g2^7*t^7.76 + t^7.82/(g1^3*g2^6) + g1^11*g2^2*t^7.87 + (2*t^7.89)/(g1^6*g2^3) + g1^8*g2^5*t^7.95 + (2*g1^4*t^8.01)/g2^8 + g1^5*g2^8*t^8.02 + g1^18*t^8.06 + g1^15*g2^3*t^8.14 + (2*t^8.16)/(g1^2*g2^2) + g1^12*g2^6*t^8.21 - (g2*t^8.23)/g1^5 + g1^9*g2^9*t^8.29 + (g1^5*t^8.35)/g2^4 + (g1^2*t^8.42)/g2 + t^8.49/(g1^2*g2^14) + (g2^2*t^8.5)/g1 + (g1^12*t^8.54)/g2^6 + (g2^5*t^8.57)/g1^4 + (3*t^8.64)/(g1^8*g2^8) + t^8.83/(g1*g2^10) + g2^6*t^8.84 + g1^10*g2*t^8.95 + t^8.97/(g1^7*g2^4) - t^4.08/(g1*g2*y) - (g1^2*t^5.42)/(g2*y) - (g2^2*t^5.5)/(g1*y) - (2*t^6.24)/(g1^3*g2^3*y) - (g2*t^6.58)/(g1^2*y) - (g1^5*t^6.77)/(g2*y) - (g1^2*g2^2*t^6.84)/y - t^7.24/(g1*g2^7*y) - t^7.58/(g2^3*y) - t^7.66/(g1^3*y) + (g1^4*t^7.85)/(g2^2*y) - (g2^4*t^7.99)/(g1^2*y) - (g1^8*t^8.11)/(g2*y) - (g1^5*g2^2*t^8.19)/y + t^8.32/(g1^2*g2^8*y) - (3*t^8.4)/(g1^5*g2^5*y) + (g1^9*g2^3*t^8.45)/y - (g1^2*t^8.59)/(g2^7*y) + t^8.66/(g1*g2^4*y) + (g1^6*t^8.85)/(g2^6*y) - (g1^3*t^8.93)/(g2^3*y) - (t^4.08*y)/(g1*g2) - (g1^2*t^5.42*y)/g2 - (g2^2*t^5.5*y)/g1 - (2*t^6.24*y)/(g1^3*g2^3) - (g2*t^6.58*y)/g1^2 - (g1^5*t^6.77*y)/g2 - g1^2*g2^2*t^6.84*y - (t^7.24*y)/(g1*g2^7) - (t^7.58*y)/g2^3 - (t^7.66*y)/g1^3 + (g1^4*t^7.85*y)/g2^2 - (g2^4*t^7.99*y)/g1^2 - (g1^8*t^8.11*y)/g2 - g1^5*g2^2*t^8.19*y + (t^8.32*y)/(g1^2*g2^8) - (3*t^8.4*y)/(g1^5*g2^5) + g1^9*g2^3*t^8.45*y - (g1^2*t^8.59*y)/g2^7 + (t^8.66*y)/(g1*g2^4) + (g1^6*t^8.85*y)/g2^6 - (g1^3*t^8.93*y)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
45036 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ | 1.7197 | 1.8009 | 0.9549 | [X:[1.4015], M:[0.803, 0.9925], q:[0.5985, 0.5038], qb:[], phi:[0.2992]] | t^2.41 + t^2.98 + 2*t^3.31 + 2*t^3.59 + 2*t^4.2 + 2*t^4.82 + t^5.1 + 2*t^5.39 + t^5.72 + t^5.95 - t^3.9/y - t^5.41/y - (2*t^5.69)/y - t^3.9*y - t^5.41*y - 2*t^5.69*y | detail | |
45008 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2q_2$ | 1.8259 | 1.9584 | 0.9324 | [X:[], M:[0.8386, 1.044, 0.8008], q:[0.4402, 0.478], qb:[], phi:[0.3606]] | t^2.16 + t^2.4 + t^2.52 + t^2.64 + t^2.75 + t^3.13 + t^3.84 + 2*t^4.33 + t^4.57 + t^4.68 + 3*t^4.8 + 3*t^4.92 + 2*t^5.03 + t^5.04 + 2*t^5.16 + t^5.27 + t^5.28 + t^5.3 + t^5.4 + t^5.51 + t^5.53 + t^5.65 + t^5.77 - t^4.08/y - t^5.4/y - t^5.52/y - t^4.08*y - t^5.4*y - t^5.52*y | detail | |
45066 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3\phi_1^2$ | 1.7896 | 1.8921 | 0.9458 | [X:[], M:[0.8313, 1.0608, 1.2766], q:[0.4452, 0.4696], qb:[], phi:[0.3617]] | t^2.49 + t^2.67 + t^2.74 + t^3.18 + t^3.58 + 2*t^3.83 + t^4.34 + t^4.84 + t^4.91 + 2*t^4.99 + t^5.17 + t^5.24 + t^5.34 + t^5.42 + t^5.49 + t^5.68 + t^5.85 - t^6. - t^4.09/y - t^5.42/y - t^5.49/y - t^4.09*y - t^5.42*y - t^5.49*y | detail | |
45010 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ M_3q_1^2$ | 1.8031 | 1.9176 | 0.9403 | [X:[], M:[0.8165, 1.0689, 1.0369], q:[0.4815, 0.4655], qb:[], phi:[0.351]] | t^2.11 + t^2.45 + t^2.84 + t^3.11 + t^3.21 + t^3.5 + t^3.89 + 2*t^4.21 + t^4.56 + 2*t^4.9 + 2*t^4.95 + t^5. + t^5.22 + t^5.29 + t^5.31 + t^5.56 + t^5.61 + t^5.66 + t^5.68 + t^5.95 - t^4.05/y - t^5.45/y - t^5.5/y - t^4.05*y - t^5.45*y - t^5.5*y | detail | |
45007 | $M_1\phi_1^2q_1$ + $ M_2q_2^2$ + $ q_1^4$ | 1.8022 | 1.9176 | 0.9398 | [X:[], M:[0.8077, 1.0768], q:[0.5, 0.4616], qb:[], phi:[0.3461]] | t^2.08 + t^2.42 + t^2.88 + t^3. + t^3.23 + t^3.46 + t^3.92 + 2*t^4.15 + t^4.5 + 2*t^4.85 + 2*t^4.96 + 2*t^5.08 + 2*t^5.31 + t^5.42 + t^5.54 + t^5.65 + t^5.77 + t^5.88 + t^6. - t^4.04/y - t^5.42/y - t^5.54/y - t^4.04*y - t^5.42*y - t^5.54*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 |
---|---|---|---|---|---|---|---|---|---|
44918 | SO5adj1nf2 | $M_1\phi_1^2q_1$ | 1.8177 | 1.9448 | 0.9347 | [X:[], M:[0.809], q:[0.4541, 0.4406], qb:[], phi:[0.3684]] | t^2.21 + t^2.43 + t^2.64 + t^2.68 + t^2.72 + t^3.53 + t^3.79 + 2*t^4.42 + t^4.64 + 3*t^4.85 + 2*t^4.89 + 2*t^4.94 + t^5.07 + t^5.11 + t^5.15 + t^5.29 + t^5.33 + 2*t^5.37 + t^5.41 + t^5.45 + t^5.74 - t^4.11/y - t^5.43/y - t^5.47/y - t^4.11*y - t^5.43*y - t^5.47*y | detail | |
44919 | SO5adj1nf2 | $M_1\phi_1^2$ | 1.7824 | 1.8817 | 0.9472 | [X:[], M:[1.2605], q:[0.4454, 0.4454], qb:[], phi:[0.3698]] | 3*t^2.67 + 2*t^3.55 + 2*t^3.78 + t^4.44 + 3*t^4.89 + 6*t^5.34 - 3*t^6. - t^4.11/y - (2*t^5.45)/y - t^4.11*y - 2*t^5.45*y | detail |