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 |
---|---|---|---|---|---|---|---|---|---|
46747 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3M_4$ + $ M_4M_5$ | 0.7035 | 0.8668 | 0.8116 | [X:[], M:[1.0251, 0.8746, 0.9248, 1.0752, 0.9248], q:[0.535, 0.4399], qb:[0.5904, 0.4849], phi:[0.4875]] | [X:[], M:[[2, 2], [-10, -10], [-6, -6], [6, 6], [-6, -6]], q:[[4, 10], [-6, -12]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_5$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_1$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_3$, $ M_2M_5$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_1M_3$, $ M_1M_5$, $ \phi_1^4$, $ M_5q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$ | . | -3 | t^2.62 + 2*t^2.77 + t^2.92 + t^3.06 + t^3.08 + t^3.09 + t^4.1 + t^4.24 + t^4.37 + t^4.39 + t^4.52 + t^4.55 + t^4.67 + t^4.69 + t^4.84 + t^5. + t^5.25 + 2*t^5.4 + 3*t^5.55 + 3*t^5.7 + t^5.83 + 2*t^5.85 + t^5.86 + t^5.98 - 3*t^6. + t^6.02 + t^6.12 + t^6.18 - t^6.29 - t^6.32 - t^6.45 + t^6.73 + t^6.86 + 2*t^6.88 + t^7. + 2*t^7.01 + t^7.03 + 2*t^7.15 + 3*t^7.16 + t^7.19 + 3*t^7.3 + t^7.31 + t^7.33 + t^7.43 + 3*t^7.45 + t^7.48 + t^7.58 + t^7.61 + t^7.64 + t^7.73 - t^7.75 + t^7.76 + t^7.78 + t^7.87 - t^7.91 + t^7.93 + 2*t^8.02 + t^8.1 + 3*t^8.17 + t^8.2 + 5*t^8.32 + t^8.34 + 5*t^8.47 + 2*t^8.61 + t^8.62 + t^8.65 + t^8.74 + t^8.76 - 5*t^8.77 + 2*t^8.79 + 2*t^8.89 - 4*t^8.92 + t^8.94 + t^8.96 - t^4.46/y - t^7.09/y - t^7.24/y + t^7.69/y + t^7.84/y + (2*t^8.4)/y + (2*t^8.55)/y + t^8.68/y + (3*t^8.7)/y + t^8.71/y + (2*t^8.83)/y + (2*t^8.85)/y + (2*t^8.86)/y + t^8.98/y - t^4.46*y - t^7.09*y - t^7.24*y + t^7.69*y + t^7.84*y + 2*t^8.4*y + 2*t^8.55*y + t^8.68*y + 3*t^8.7*y + t^8.71*y + 2*t^8.83*y + 2*t^8.85*y + 2*t^8.86*y + t^8.98*y | t^2.62/(g1^10*g2^10) + (2*t^2.77)/(g1^6*g2^6) + t^2.92/(g1^2*g2^2) + g1^4*g2^16*t^3.06 + g1^2*g2^2*t^3.08 + t^3.09/g2^12 + t^4.1/(g1^13*g2^25) + t^4.24/(g1^7*g2^7) + (g2^11*t^4.37)/g1 + t^4.39/(g1^3*g2^3) + g1^3*g2^15*t^4.52 + t^4.55/(g1*g2^13) + g1^7*g2^19*t^4.67 + g1^5*g2^5*t^4.69 + g1^9*g2^9*t^4.84 + (g1^11*t^5.)/g2 + t^5.25/(g1^20*g2^20) + (2*t^5.4)/(g1^16*g2^16) + (3*t^5.55)/(g1^12*g2^12) + (3*t^5.7)/(g1^8*g2^8) + (g2^10*t^5.83)/g1^2 + (2*t^5.85)/(g1^4*g2^4) + t^5.86/(g1^6*g2^18) + g1^2*g2^14*t^5.98 - 3*t^6. + t^6.02/(g1^2*g2^14) + g1^8*g2^32*t^6.12 + t^6.18/g2^24 - g1^10*g2^22*t^6.29 - (g1^6*t^6.32)/g2^6 - g1^12*g2^12*t^6.45 + t^6.73/(g1^23*g2^35) + t^6.86/(g1^17*g2^17) + (2*t^6.88)/(g1^19*g2^31) + (g2*t^7.)/g1^11 + (2*t^7.01)/(g1^13*g2^13) + t^7.03/(g1^15*g2^27) + (2*g2^5*t^7.15)/g1^7 + (3*t^7.16)/(g1^9*g2^9) + t^7.19/(g1^13*g2^37) + (3*g2^9*t^7.3)/g1^3 + t^7.31/(g1^5*g2^5) + t^7.33/(g1^7*g2^19) + g1^3*g2^27*t^7.43 + 3*g1*g2^13*t^7.45 + t^7.48/(g1^3*g2^15) + g1^7*g2^31*t^7.58 + g1^3*g2^3*t^7.61 + t^7.64/(g1*g2^25) + g1^11*g2^35*t^7.73 - g1^9*g2^21*t^7.75 + g1^7*g2^7*t^7.76 + (g1^5*t^7.78)/g2^7 + t^7.87/(g1^30*g2^30) - g1^11*g2^11*t^7.91 + (g1^9*t^7.93)/g2^3 + (2*t^8.02)/(g1^26*g2^26) + (g1^11*t^8.1)/g2^13 + (3*t^8.17)/(g1^22*g2^22) + t^8.2/(g1^26*g2^50) + (5*t^8.32)/(g1^18*g2^18) + t^8.34/(g1^20*g2^32) + (5*t^8.47)/(g1^14*g2^14) + (2*g2^4*t^8.61)/g1^8 + t^8.62/(g1^10*g2^10) + t^8.65/(g1^14*g2^38) + (g2^22*t^8.74)/g1^2 + (g2^8*t^8.76)/g1^4 - (5*t^8.77)/(g1^6*g2^6) + (2*t^8.79)/(g1^8*g2^20) + 2*g1^2*g2^26*t^8.89 - (4*t^8.92)/(g1^2*g2^2) + t^8.94/(g1^4*g2^16) + t^8.96/(g1^6*g2^30) - t^4.46/(g1*g2*y) - t^7.09/(g1^11*g2^11*y) - t^7.24/(g1^7*g2^7*y) + (g1^5*g2^5*t^7.69)/y + (g1^9*g2^9*t^7.84)/y + (2*t^8.4)/(g1^16*g2^16*y) + (2*t^8.55)/(g1^12*g2^12*y) + (g2^6*t^8.68)/(g1^6*y) + (3*t^8.7)/(g1^8*g2^8*y) + t^8.71/(g1^10*g2^22*y) + (2*g2^10*t^8.83)/(g1^2*y) + (2*t^8.85)/(g1^4*g2^4*y) + (2*t^8.86)/(g1^6*g2^18*y) + (g1^2*g2^14*t^8.98)/y - (t^4.46*y)/(g1*g2) - (t^7.09*y)/(g1^11*g2^11) - (t^7.24*y)/(g1^7*g2^7) + g1^5*g2^5*t^7.69*y + g1^9*g2^9*t^7.84*y + (2*t^8.4*y)/(g1^16*g2^16) + (2*t^8.55*y)/(g1^12*g2^12) + (g2^6*t^8.68*y)/g1^6 + (3*t^8.7*y)/(g1^8*g2^8) + (t^8.71*y)/(g1^10*g2^22) + (2*g2^10*t^8.83*y)/g1^2 + (2*t^8.85*y)/(g1^4*g2^4) + (2*t^8.86*y)/(g1^6*g2^18) + g1^2*g2^14*t^8.98*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 |
---|---|---|---|---|---|---|---|---|
48100 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3M_4$ + $ M_4M_5$ + $ M_3q_1\tilde{q}_2$ | 0.7014 | 0.8635 | 0.8123 | [X:[], M:[1.0207, 0.8965, 0.9379, 1.0621, 0.9379], q:[0.5517, 0.4276], qb:[0.5517, 0.5103], phi:[0.4897]] | t^2.69 + 2*t^2.81 + 2*t^2.94 + t^3.06 + t^3.19 + t^4.03 + t^4.28 + 2*t^4.41 + t^4.53 + 2*t^4.66 + 3*t^4.78 + t^5.38 + 2*t^5.5 + 3*t^5.63 + 4*t^5.75 + 4*t^5.88 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
46900 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3M_4$ + $ M_4M_5$ + $ M_5q_2\tilde{q}_1$ | 0.702 | 0.8645 | 0.812 | [X:[], M:[1.0223, 0.8883, 0.933, 1.067, 0.933], q:[0.5112, 0.4665], qb:[0.6005, 0.4665], phi:[0.4888]] | t^2.66 + 2*t^2.8 + 2*t^2.93 + t^3.07 + t^3.2 + 3*t^4.27 + 2*t^4.4 + t^4.53 + 2*t^4.67 + t^4.8 + t^5.07 + t^5.33 + 2*t^5.46 + 3*t^5.6 + 4*t^5.73 + 4*t^5.87 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
48165 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3M_4$ + $ M_4M_5$ + $ M_6\phi_1^2$ | 0.7013 | 0.8625 | 0.8131 | [X:[], M:[1.0227, 0.8864, 0.9319, 1.0681, 0.9319, 1.0227], q:[0.532, 0.4453], qb:[0.5816, 0.4865], phi:[0.4886]] | t^2.66 + 2*t^2.8 + t^3.06 + 2*t^3.07 + t^3.08 + t^4.14 + t^4.26 + t^4.39 + t^4.4 + t^4.52 + t^4.55 + t^4.66 + t^4.67 + t^4.81 + t^4.96 + t^5.32 + 2*t^5.45 + 2*t^5.59 + 2*t^5.73 + t^5.85 + 3*t^5.86 + t^5.88 - 4*t^6. - t^4.47/y - t^4.47*y | detail | |
47215 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3M_4$ + $ M_4M_5$ + $ \phi_1\tilde{q}_1^2$ | 0.6746 | 0.8467 | 0.7967 | [X:[], M:[1.0563, 0.7183, 0.831, 1.169, 0.831], q:[0.5176, 0.426], qb:[0.7641, 0.4049], phi:[0.4718]] | t^2.15 + 2*t^2.49 + t^2.77 + t^2.83 + t^3.17 + t^3.57 + t^3.85 + t^3.91 + t^3.97 + t^4.18 + t^4.25 + t^4.31 + t^4.52 + 2*t^4.65 + t^4.92 + 4*t^4.99 + 2*t^5.26 + 3*t^5.32 + t^5.54 + t^5.6 + 2*t^5.66 - t^6. - t^4.42/y - t^4.42*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 |
---|---|---|---|---|---|---|---|---|---|
46154 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_3M_4$ | 0.6975 | 0.8554 | 0.8154 | [X:[], M:[1.0181, 0.9096, 0.9458, 1.0542], q:[0.5258, 0.4562], qb:[0.5646, 0.4896], phi:[0.491]] | t^2.73 + t^2.84 + t^2.95 + 2*t^3.05 + t^3.06 + t^3.16 + t^4.21 + t^4.31 + t^4.41 + t^4.42 + t^4.52 + t^4.54 + t^4.63 + t^4.64 + t^4.74 + t^4.86 + t^5.46 + t^5.57 + t^5.67 + 2*t^5.78 + 2*t^5.89 + t^5.99 - 2*t^6. - t^4.47/y - t^4.47*y | detail |