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 |
---|---|---|---|---|---|---|---|---|---|
45924 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ | 0.5943 | 0.7486 | 0.7938 | [X:[], M:[1.0, 0.8787], q:[0.7652, 0.2348], qb:[0.5607, 0.5607], phi:[0.4697]] | [X:[], M:[[0, 0], [-8, -8]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2\phi_1q_2^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ M_1\phi_1^2$ | . | -5 | 2*t^2.39 + t^2.64 + 2*t^2.82 + t^3. + 2*t^3.8 + 2*t^3.98 + 6*t^4.77 + 4*t^5.2 + t^5.27 + 2*t^5.39 + 2*t^5.45 + 4*t^5.64 + t^5.82 - 5*t^6. + 3*t^6.18 + 3*t^6.36 + 4*t^6.61 + 2*t^6.8 - 2*t^6.98 + 8*t^7.16 - 2*t^7.41 + 10*t^7.59 + 6*t^7.77 + t^7.91 + 6*t^8.02 + 2*t^8.09 + 2*t^8.2 + 4*t^8.27 - 12*t^8.39 + 5*t^8.45 + 6*t^8.57 - t^8.64 + 8*t^8.75 - 12*t^8.82 - t^4.41/y - t^7.04/y - t^7.23/y + t^7.59/y + (2*t^7.77)/y + (2*t^8.02)/y + (4*t^8.2)/y + (2*t^8.39)/y + (2*t^8.45)/y + (2*t^8.64)/y + (2*t^8.82)/y - t^4.41*y - t^7.04*y - t^7.23*y + t^7.59*y + 2*t^7.77*y + 2*t^8.02*y + 4*t^8.2*y + 2*t^8.39*y + 2*t^8.45*y + 2*t^8.64*y + 2*t^8.82*y | (g1^7*t^2.39)/g2 + (g2^7*t^2.39)/g1 + t^2.64/(g1^8*g2^8) + (2*t^2.82)/(g1^4*g2^4) + t^3. + (g1^5*t^3.8)/g2^3 + (g2^5*t^3.8)/g1^3 + g1^9*g2*t^3.98 + g1*g2^9*t^3.98 + (2*g1^14*t^4.77)/g2^2 + 2*g1^6*g2^6*t^4.77 + (2*g2^14*t^4.77)/g1^2 + (2*g1^3*t^5.2)/g2^5 + (2*g2^3*t^5.2)/g1^5 + t^5.27/(g1^16*g2^16) + (g1^7*t^5.39)/g2 + (g2^7*t^5.39)/g1 + (2*t^5.45)/(g1^12*g2^12) + (4*t^5.64)/(g1^8*g2^8) + t^5.82/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.18)/g2^4 + g1^4*g2^4*t^6.18 + (g2^12*t^6.18)/g1^4 + g1^16*t^6.36 + g1^8*g2^8*t^6.36 + g2^16*t^6.36 + (2*g1*t^6.61)/g2^7 + (2*g2*t^6.61)/g1^7 + (g1^5*t^6.8)/g2^3 + (g2^5*t^6.8)/g1^3 - g1^9*g2*t^6.98 - g1*g2^9*t^6.98 + (2*g1^21*t^7.16)/g2^3 + 2*g1^13*g2^5*t^7.16 + 2*g1^5*g2^13*t^7.16 + (2*g2^21*t^7.16)/g1^3 - (2*t^7.41)/(g1^2*g2^2) + (4*g1^10*t^7.59)/g2^6 + 2*g1^2*g2^2*t^7.59 + (4*g2^10*t^7.59)/g1^6 + (2*g1^14*t^7.77)/g2^2 + 2*g1^6*g2^6*t^7.77 + (2*g2^14*t^7.77)/g1^2 + t^7.91/(g1^24*g2^24) + (3*t^8.02)/(g1*g2^9) + (3*t^8.02)/(g1^9*g2) + (2*t^8.09)/(g1^20*g2^20) + (g1^3*t^8.2)/g2^5 + (g2^3*t^8.2)/g1^5 + (4*t^8.27)/(g1^16*g2^16) - (g1^15*t^8.39)/g2^9 - (5*g1^7*t^8.39)/g2 - (5*g2^7*t^8.39)/g1 - (g2^15*t^8.39)/g1^9 + (5*t^8.45)/(g1^12*g2^12) + (2*g1^19*t^8.57)/g2^5 + g1^11*g2^3*t^8.57 + g1^3*g2^11*t^8.57 + (2*g2^19*t^8.57)/g1^5 - t^8.64/(g1^8*g2^8) + (2*g1^23*t^8.75)/g2 + 2*g1^15*g2^7*t^8.75 + 2*g1^7*g2^15*t^8.75 + (2*g2^23*t^8.75)/g1 - (2*g1^4*t^8.82)/g2^12 - (8*t^8.82)/(g1^4*g2^4) - (2*g2^4*t^8.82)/g1^12 - t^4.41/(g1^2*g2^2*y) - t^7.04/(g1^10*g2^10*y) - t^7.23/(g1^6*g2^6*y) + (g1^2*g2^2*t^7.59)/y + (2*g1^6*g2^6*t^7.77)/y + t^8.02/(g1*g2^9*y) + t^8.02/(g1^9*g2*y) + (2*g1^3*t^8.2)/(g2^5*y) + (2*g2^3*t^8.2)/(g1^5*y) + (g1^7*t^8.39)/(g2*y) + (g2^7*t^8.39)/(g1*y) + (2*t^8.45)/(g1^12*g2^12*y) + (2*t^8.64)/(g1^8*g2^8*y) + (2*t^8.82)/(g1^4*g2^4*y) - (t^4.41*y)/(g1^2*g2^2) - (t^7.04*y)/(g1^10*g2^10) - (t^7.23*y)/(g1^6*g2^6) + g1^2*g2^2*t^7.59*y + 2*g1^6*g2^6*t^7.77*y + (t^8.02*y)/(g1*g2^9) + (t^8.02*y)/(g1^9*g2) + (2*g1^3*t^8.2*y)/g2^5 + (2*g2^3*t^8.2*y)/g1^5 + (g1^7*t^8.39*y)/g2 + (g2^7*t^8.39*y)/g1 + (2*t^8.45*y)/(g1^12*g2^12) + (2*t^8.64*y)/(g1^8*g2^8) + (2*t^8.82*y)/(g1^4*g2^4) |
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 |
---|---|---|---|---|---|---|---|---|
46049 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ | 0.614 | 0.7856 | 0.7817 | [X:[], M:[1.0, 0.8753, 0.7244], q:[0.7656, 0.2344], qb:[0.5724, 0.5523], phi:[0.4688]] | t^2.17 + t^2.36 + t^2.42 + t^2.63 + 2*t^2.81 + t^3. + t^3.77 + t^3.95 + t^4.01 + t^4.35 + t^4.53 + t^4.59 + 2*t^4.72 + 2*t^4.78 + t^4.8 + 2*t^4.84 + 2*t^4.99 + 3*t^5.17 + 2*t^5.23 + t^5.25 + t^5.36 + t^5.42 + 2*t^5.44 + 4*t^5.63 + t^5.81 - 3*t^6. - t^4.41/y - t^4.41*y | detail | |
45982 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ | 0.6151 | 0.7899 | 0.7787 | [X:[], M:[1.0, 0.877, 0.6721], q:[0.7654, 0.2346], qb:[0.5625, 0.5605], phi:[0.4693]] | t^2.02 + 2*t^2.39 + t^2.63 + 2*t^2.82 + t^3. + t^3.79 + t^3.8 + t^3.98 + t^4.03 + t^4.4 + t^4.41 + t^4.65 + 2*t^4.77 + 4*t^4.78 + 2*t^4.83 + t^5.02 + 2*t^5.2 + 2*t^5.21 + t^5.26 + 2*t^5.39 + 2*t^5.45 + 4*t^5.63 + t^5.81 + 2*t^5.82 - 3*t^6. - t^4.41/y - t^4.41*y | detail | |
45998 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ | 0.5536 | 0.7057 | 0.7845 | [X:[], M:[1.0, 0.7344], q:[0.7832, 0.2168], qb:[0.7832, 0.4824], phi:[0.4336]] | t^2.1 + t^2.2 + 2*t^2.6 + 2*t^3. + t^3.4 + t^3.8 + 2*t^4.2 + t^4.3 + t^4.41 + 3*t^4.7 + 2*t^4.8 + 2*t^5.1 + 4*t^5.2 + t^5.5 + 3*t^5.6 + t^5.89 + 2*t^6. - t^4.3/y - t^4.3*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 |
---|---|---|---|---|---|---|---|---|---|
45858 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ | 0.7025 | 0.8516 | 0.8249 | [X:[], M:[0.6751, 0.8682], q:[0.8071, 0.5178], qb:[0.5659, 0.5659], phi:[0.3858]] | t^2.03 + t^2.31 + t^2.6 + 2*t^3.25 + t^4.05 + 2*t^4.12 + t^4.26 + t^4.34 + 2*t^4.41 + 3*t^4.55 + 2*t^4.63 + t^4.92 + t^5.21 + 2*t^5.28 + 2*t^5.57 - 5*t^6. - t^4.16/y - t^4.16*y | detail |