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 |
---|---|---|---|---|---|---|---|---|---|
143 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.628 | 0.7571 | 0.8294 | [X:[], M:[1.2913, 0.7124, 0.7014], q:[0.8228, 0.8228], qb:[0.4648, 0.4721], phi:[0.3544]] | [X:[], M:[[4, 4], [-7, -1], [2, -10]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_1$, $ M_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_3^2$, $ M_2M_3$, $ M_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_3q_2\tilde{q}_1$, $ M_1M_3$, $ M_2\phi_1\tilde{q}_1^2$, $ M_3q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$ | $M_2q_2\tilde{q}_1$ | -2 | t^2.1 + t^2.14 + t^2.81 + t^3.85 + t^3.86 + 2*t^3.87 + 2*t^3.88 + t^4.21 + t^4.24 + t^4.27 + t^4.92 + t^4.94 + t^4.95 + t^5.62 + t^5.96 + t^5.97 + t^5.98 + t^5.99 - 2*t^6. + t^6.02 + t^6.31 + t^6.35 + t^6.38 + t^6.41 + t^6.66 + t^6.67 + 2*t^6.68 + 2*t^6.7 + t^7.02 - t^7.05 - 2*t^7.06 - t^7.07 + t^7.7 + t^7.71 + 3*t^7.73 + 2*t^7.74 + 3*t^7.75 + 3*t^7.76 + 2*t^7.77 + t^8.06 + t^8.07 + t^8.08 + t^8.09 - 2*t^8.1 - t^8.12 + t^8.13 - 2*t^8.14 + t^8.16 + t^8.42 + t^8.43 + t^8.45 + t^8.48 + t^8.52 + t^8.55 + t^8.77 + t^8.78 + t^8.79 - 2*t^8.81 - t^4.06/y - t^6.17/y - t^6.2/y + t^7.24/y + t^7.92/y + t^7.93/y + t^7.95/y + t^7.96/y - t^8.27/y - t^8.3/y - t^8.34/y + t^8.96/y + t^8.97/y + (2*t^8.98)/y + (3*t^8.99)/y - t^4.06*y - t^6.17*y - t^6.2*y + t^7.24*y + t^7.92*y + t^7.93*y + t^7.95*y + t^7.96*y - t^8.27*y - t^8.3*y - t^8.34*y + t^8.96*y + t^8.97*y + 2*t^8.98*y + 3*t^8.99*y | (g1^2*t^2.1)/g2^10 + t^2.14/(g1^7*g2) + g1^6*g2^6*t^2.81 + (g1^10*t^3.85)/g2^2 + g1^7*g2*t^3.86 + 2*g1^4*g2^4*t^3.87 + 2*g1*g2^7*t^3.88 + (g1^4*t^4.21)/g2^20 + t^4.24/(g1^5*g2^11) + t^4.27/(g1^14*g2^2) + (g1^8*t^4.92)/g2^4 + g1^2*g2^2*t^4.94 + (g2^5*t^4.95)/g1 + g1^12*g2^12*t^5.62 + (g1^12*t^5.96)/g2^12 + (g1^9*t^5.97)/g2^9 + (g1^6*t^5.98)/g2^6 + (g1^3*t^5.99)/g2^3 - 2*t^6. + (g2^6*t^6.02)/g1^6 + (g1^6*t^6.31)/g2^30 + t^6.35/(g1^3*g2^21) + t^6.38/(g1^12*g2^12) + t^6.41/(g1^21*g2^3) + g1^16*g2^4*t^6.66 + g1^13*g2^7*t^6.67 + 2*g1^10*g2^10*t^6.68 + 2*g1^7*g2^13*t^6.7 + (g1^10*t^7.02)/g2^14 - (g1*t^7.05)/g2^5 - (2*t^7.06)/(g1^2*g2^2) - (g2*t^7.07)/g1^5 + (g1^20*t^7.7)/g2^4 + (g1^17*t^7.71)/g2 + 3*g1^14*g2^2*t^7.73 + 2*g1^11*g2^5*t^7.74 + 3*g1^8*g2^8*t^7.75 + 3*g1^5*g2^11*t^7.76 + 2*g1^2*g2^14*t^7.77 + (g1^14*t^8.06)/g2^22 + (g1^11*t^8.07)/g2^19 + (g1^8*t^8.08)/g2^16 + (g1^5*t^8.09)/g2^13 - (2*g1^2*t^8.1)/g2^10 - t^8.12/(g1*g2^7) + t^8.13/(g1^4*g2^4) - (2*t^8.14)/(g1^7*g2) + (g2^5*t^8.16)/g1^13 + (g1^8*t^8.42)/g2^40 + g1^18*g2^18*t^8.43 + t^8.45/(g1*g2^31) + t^8.48/(g1^10*g2^22) + t^8.52/(g1^19*g2^13) + t^8.55/(g1^28*g2^4) + (g1^18*t^8.77)/g2^6 + (g1^15*t^8.78)/g2^3 + g1^12*t^8.79 - 2*g1^6*g2^6*t^8.81 - t^4.06/(g1^2*g2^2*y) - t^6.17/(g2^12*y) - t^6.2/(g1^9*g2^3*y) + t^7.24/(g1^5*g2^11*y) + (g1^8*t^7.92)/(g2^4*y) + (g1^5*t^7.93)/(g2*y) + (g2^5*t^7.95)/(g1*y) + (g2^8*t^7.96)/(g1^4*y) - (g1^2*t^8.27)/(g2^22*y) - t^8.3/(g1^7*g2^13*y) - t^8.34/(g1^16*g2^4*y) + (g1^12*t^8.96)/(g2^12*y) + (g1^9*t^8.97)/(g2^9*y) + (2*g1^6*t^8.98)/(g2^6*y) + (3*g1^3*t^8.99)/(g2^3*y) - (t^4.06*y)/(g1^2*g2^2) - (t^6.17*y)/g2^12 - (t^6.2*y)/(g1^9*g2^3) + (t^7.24*y)/(g1^5*g2^11) + (g1^8*t^7.92*y)/g2^4 + (g1^5*t^7.93*y)/g2 + (g2^5*t^7.95*y)/g1 + (g2^8*t^7.96*y)/g1^4 - (g1^2*t^8.27*y)/g2^22 - (t^8.3*y)/(g1^7*g2^13) - (t^8.34*y)/(g1^16*g2^4) + (g1^12*t^8.96*y)/g2^12 + (g1^9*t^8.97*y)/g2^9 + (2*g1^6*t^8.98*y)/g2^6 + (3*g1^3*t^8.99*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 |
---|---|---|---|---|---|---|---|---|
234 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_3^2$ | 0.581 | 0.711 | 0.8172 | [X:[], M:[1.2101, 0.6849, 1.0], q:[0.8025, 0.8025], qb:[0.5126, 0.3025], phi:[0.395]] | t^2.05 + t^2.45 + t^3. + 2*t^3.32 + 2*t^3.63 + t^3.95 + t^4.11 + t^4.26 + t^4.5 + t^4.82 + t^4.89 + t^5.05 + t^5.37 + t^5.45 + 2*t^5.76 - t^6. - t^4.18/y - t^4.18*y | detail | |
235 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6484 | 0.7955 | 0.8151 | [X:[], M:[1.2971, 0.7005, 0.7076, 0.6981], q:[0.8243, 0.8243], qb:[0.4752, 0.4705], phi:[0.3514]] | t^2.09 + t^2.1 + t^2.12 + t^2.84 + 2*t^3.88 + 2*t^3.89 + t^3.9 + t^4.19 + 2*t^4.2 + 2*t^4.22 + t^4.25 + t^4.93 + t^4.94 + t^4.95 + t^4.96 + t^5.67 + 2*t^5.98 + 4*t^5.99 - 2*t^6. - t^4.05/y - t^4.05*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 |
---|---|---|---|---|---|---|---|---|---|
86 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1\phi_1^2$ + $ M_2q_1\tilde{q}_1$ | 0.6077 | 0.7201 | 0.8439 | [X:[], M:[1.2833, 0.7104], q:[0.8208, 0.8208], qb:[0.4688, 0.4562], phi:[0.3583]] | t^2.13 + t^2.77 + t^3.81 + 2*t^3.83 + 2*t^3.85 + t^3.87 + t^3.89 + t^4.26 + t^4.91 + t^4.92 + t^5.55 + t^5.94 + t^5.96 - 2*t^6. - t^4.08/y - t^4.08*y | detail |