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 |
---|---|---|---|---|---|---|---|---|---|
46178 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_4$ | 0.5873 | 0.7232 | 0.8121 | [X:[], M:[1.0024, 0.9976, 0.7764, 1.0024], q:[0.5858, 0.4118], qb:[0.4165, 1.0236], phi:[0.3906]] | [X:[], M:[[1, -3], [-1, 3], [-2, 2], [1, -3]], q:[[0, -3], [-1, 6]], qb:[[1, 0], [0, 5]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_1$, $ M_4$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_3$, $ M_3M_4$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_3\phi_1q_2\tilde{q}_1$ | $\phi_1^3q_2\tilde{q}_1$ | -2 | t^2.33 + t^2.34 + t^2.48 + 2*t^3.01 + t^3.64 + t^3.66 + t^4.31 + t^4.32 + t^4.66 + t^4.67 + t^4.69 + t^4.81 + 2*t^4.83 + t^4.97 + t^5.34 + t^5.35 + 2*t^5.49 + t^5.97 + t^5.99 - 2*t^6. + 2*t^6.01 + t^6.13 + t^6.14 - t^6.51 - t^6.52 + t^6.64 + 2*t^6.65 + t^6.66 + t^6.79 + t^6.81 + t^6.99 + t^7. + t^7.02 + t^7.03 + t^7.14 + t^7.16 - t^7.19 + t^7.28 + t^7.3 + 2*t^7.31 + t^7.33 + t^7.45 + t^7.67 + t^7.69 - t^7.82 + t^7.84 + t^7.95 + t^7.96 + 2*t^7.98 + t^8.3 + t^8.31 - 2*t^8.33 - t^8.34 + t^8.46 + t^8.47 - 3*t^8.48 + t^8.5 + 2*t^8.61 + 2*t^8.63 + t^8.64 - t^8.84 - t^8.85 + t^8.96 + t^8.98 - t^8.99 - t^4.17/y - t^6.5/y - t^6.52/y + t^7.16/y - t^7.18/y + t^7.67/y + t^7.81/y + (2*t^7.83)/y + t^7.84/y + (2*t^8.34)/y + (2*t^8.35)/y + (2*t^8.49)/y - t^8.83/y - t^8.84/y - t^8.86/y + t^8.97/y + (2*t^8.99)/y - t^4.17*y - t^6.5*y - t^6.52*y + t^7.16*y - t^7.18*y + t^7.67*y + t^7.81*y + 2*t^7.83*y + t^7.84*y + 2*t^8.34*y + 2*t^8.35*y + 2*t^8.49*y - t^8.83*y - t^8.84*y - t^8.86*y + t^8.97*y + 2*t^8.99*y | (g2^2*t^2.33)/g1^2 + t^2.34/g2^4 + g2^6*t^2.48 + (2*g1*t^3.01)/g2^3 + (g2^10*t^3.64)/g1^2 + g2^4*t^3.66 + (g2^11*t^4.31)/g1 + g1*g2^5*t^4.32 + (g2^4*t^4.66)/g1^4 + t^4.67/(g1^2*g2^2) + t^4.69/g2^8 + (g2^8*t^4.81)/g1^2 + 2*g2^2*t^4.83 + g2^12*t^4.97 + t^5.34/(g1*g2) + (g1*t^5.35)/g2^7 + 2*g1*g2^3*t^5.49 + (g2^12*t^5.97)/g1^4 + (g2^6*t^5.99)/g1^2 - 2*t^6. + (2*g1^2*t^6.01)/g2^6 + (g2^16*t^6.13)/g1^2 + g2^10*t^6.14 - t^6.51/(g1*g2^3) - (g1*t^6.52)/g2^9 + (g2^13*t^6.64)/g1^3 + (2*g2^7*t^6.65)/g1 + g1*g2*t^6.66 + (g2^17*t^6.79)/g1 + g1*g2^11*t^6.81 + (g2^6*t^6.99)/g1^6 + t^7./g1^4 + t^7.02/(g1^2*g2^6) + t^7.03/g2^12 + (g2^10*t^7.14)/g1^4 + (g2^4*t^7.16)/g1^2 - (g1^2*t^7.19)/g2^8 + (g2^20*t^7.28)/g1^4 + (g2^14*t^7.3)/g1^2 + 2*g2^8*t^7.31 + g1^2*g2^2*t^7.33 + g2^18*t^7.45 + (g2*t^7.67)/g1^3 + (g1*t^7.69)/g2^11 - (g2^5*t^7.82)/g1 + (g1*t^7.84)/g2 + (g2^21*t^7.95)/g1^3 + (g2^15*t^7.96)/g1 + 2*g1*g2^9*t^7.98 + (g2^14*t^8.3)/g1^6 + (g2^8*t^8.31)/g1^4 - (2*g2^2*t^8.33)/g1^2 - t^8.34/g2^4 + (g2^18*t^8.46)/g1^4 + (g2^12*t^8.47)/g1^2 - 3*g2^6*t^8.48 + g1^2*t^8.5 + (2*g2^22*t^8.61)/g1^2 + 2*g2^16*t^8.63 + g1^2*g2^10*t^8.64 - t^8.84/(g1^3*g2) - t^8.85/(g1*g2^7) + (g2^15*t^8.96)/g1^5 + (g2^9*t^8.98)/g1^3 - (g2^3*t^8.99)/g1 - t^4.17/(g2^2*y) - t^6.5/(g1^2*y) - t^6.52/(g2^6*y) + (g2*t^7.16)/(g1*y) - (g1*t^7.18)/(g2^5*y) + t^7.67/(g1^2*g2^2*y) + (g2^8*t^7.81)/(g1^2*y) + (2*g2^2*t^7.83)/y + (g1^2*t^7.84)/(g2^4*y) + (2*t^8.34)/(g1*g2*y) + (2*g1*t^8.35)/(g2^7*y) + (2*g1*g2^3*t^8.49)/y - (g2^2*t^8.83)/(g1^4*y) - t^8.84/(g1^2*g2^4*y) - t^8.86/(g2^10*y) + (g2^12*t^8.97)/(g1^4*y) + (2*g2^6*t^8.99)/(g1^2*y) - (t^4.17*y)/g2^2 - (t^6.5*y)/g1^2 - (t^6.52*y)/g2^6 + (g2*t^7.16*y)/g1 - (g1*t^7.18*y)/g2^5 + (t^7.67*y)/(g1^2*g2^2) + (g2^8*t^7.81*y)/g1^2 + 2*g2^2*t^7.83*y + (g1^2*t^7.84*y)/g2^4 + (2*t^8.34*y)/(g1*g2) + (2*g1*t^8.35*y)/g2^7 + 2*g1*g2^3*t^8.49*y - (g2^2*t^8.83*y)/g1^4 - (t^8.84*y)/(g1^2*g2^4) - (t^8.86*y)/g2^10 + (g2^12*t^8.97*y)/g1^4 + (2*g2^6*t^8.99*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
46611 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6052 | 0.7542 | 0.8024 | [X:[], M:[1.0006, 0.9994, 0.7674, 1.0006, 0.7686], q:[0.5765, 0.4229], qb:[0.4241, 1.0392], phi:[0.3843]] | t^2.3 + 2*t^2.31 + t^2.54 + 2*t^3. + t^3.69 + 2*t^4.39 + t^4.6 + 5*t^4.61 + t^4.84 + 3*t^4.85 + t^5.08 + t^5.3 + 3*t^5.31 + 2*t^5.54 + t^5.99 - t^4.15/y - t^4.15*y | detail | |
46346 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ q_2\tilde{q}_2$ + $ \phi_1^2X_1$ | 0.4729 | 0.5526 | 0.8558 | [X:[1.4498], M:[0.8995, 1.1005, 0.7512, 0.8995], q:[0.4127, 0.6878], qb:[0.4869, 1.3122], phi:[0.2751]] | t^2.25 + 2*t^2.7 + t^3.52 + t^4.35 + t^4.51 + 2*t^4.95 + 3*t^5.4 - 2*t^6. - t^3.83/y - t^3.83*y | detail | |
46446 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ q_2^2\tilde{q}_1^2$ + $ \phi_1^2X_1$ | 0.5425 | 0.6456 | 0.8403 | [X:[1.3333], M:[0.983, 1.017, 0.7006, 0.983], q:[0.5, 0.517], qb:[0.483, 1.1667], phi:[0.3333]] | t^2.1 + 2*t^2.95 + t^3. + 2*t^4. + t^4.1 + t^4.2 + t^5. + 2*t^5.05 + t^5.1 + 2*t^5.9 + t^5.95 - 2*t^6. - t^4./y - t^4.*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 |
---|---|---|---|---|---|---|---|---|---|
46007 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.5883 | 0.7268 | 0.8095 | [X:[], M:[1.0196, 0.9804, 0.7451], q:[0.5882, 0.3922], qb:[0.4314, 1.0196], phi:[0.3922]] | t^2.24 + t^2.35 + t^2.47 + t^2.94 + t^3.06 + t^3.53 + t^3.65 + t^4.24 + t^4.35 + t^4.47 + t^4.59 + 2*t^4.71 + 2*t^4.82 + t^4.94 + t^5.18 + t^5.29 + t^5.41 + t^5.53 + t^5.76 + 2*t^5.88 - t^4.18/y - t^4.18*y | detail | {a: 8161/13872, c: 5041/6936, M1: 52/51, M2: 50/51, M3: 38/51, q1: 10/17, q2: 20/51, qb1: 22/51, qb2: 52/51, phi1: 20/51} |