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 |
---|---|---|---|---|---|---|---|---|---|
1906 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ | 0.6282 | 0.8185 | 0.7675 | [X:[], M:[0.9776, 1.0673, 0.9776, 0.7668, 0.7219], q:[0.7444, 0.2781], qb:[0.4439, 0.4888], phi:[0.5112]] | [X:[], M:[[4], [-12], [4], [-3], [5]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_5q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$ | $M_4q_1\tilde{q}_2$ | -2 | 2*t^2.17 + 2*t^2.3 + 2*t^2.93 + 2*t^3.2 + t^3.56 + t^3.7 + t^4.2 + 4*t^4.33 + 5*t^4.47 + 3*t^4.6 + 4*t^5.1 + 4*t^5.23 + 3*t^5.37 + 3*t^5.5 + 2*t^5.73 + 5*t^5.87 - 2*t^6. + t^6.13 + 2*t^6.36 + 3*t^6.4 + 8*t^6.5 + 8*t^6.63 + 6*t^6.77 + 3*t^6.9 - t^7.04 + 2*t^7.13 + 7*t^7.26 + 7*t^7.4 + 7*t^7.53 + 4*t^7.67 + t^7.76 + 4*t^7.8 + 4*t^7.9 + 7*t^8.03 - t^8.17 - 5*t^8.3 + t^8.39 + 4*t^8.53 + 4*t^8.57 + 13*t^8.66 + 4*t^8.7 + 15*t^8.8 + 2*t^8.93 - t^4.53/y - t^6.7/y - t^6.83/y + (2*t^7.33)/y + (3*t^7.47)/y + (2*t^7.6)/y - t^7.74/y + (4*t^8.1)/y + (5*t^8.23)/y + (5*t^8.37)/y + (4*t^8.5)/y + (2*t^8.73)/y + (4*t^8.87)/y - t^4.53*y - t^6.7*y - t^6.83*y + 2*t^7.33*y + 3*t^7.47*y + 2*t^7.6*y - t^7.74*y + 4*t^8.1*y + 5*t^8.23*y + 5*t^8.37*y + 4*t^8.5*y + 2*t^8.73*y + 4*t^8.87*y | 2*g1^5*t^2.17 + (2*t^2.3)/g1^3 + 2*g1^4*t^2.93 + (2*t^3.2)/g1^12 + g1^11*t^3.56 + g1^3*t^3.7 + g1^18*t^4.2 + 4*g1^10*t^4.33 + 5*g1^2*t^4.47 + (3*t^4.6)/g1^6 + 4*g1^9*t^5.1 + 4*g1*t^5.23 + (3*t^5.37)/g1^7 + (3*t^5.5)/g1^15 + 2*g1^16*t^5.73 + 5*g1^8*t^5.87 - 2*t^6. + t^6.13/g1^8 + 2*g1^23*t^6.36 + (3*t^6.4)/g1^24 + 8*g1^15*t^6.5 + 8*g1^7*t^6.63 + (6*t^6.77)/g1 + (3*t^6.9)/g1^9 - t^7.04/g1^17 + 2*g1^22*t^7.13 + 7*g1^14*t^7.26 + 7*g1^6*t^7.4 + (7*t^7.53)/g1^2 + (4*t^7.67)/g1^10 + g1^29*t^7.76 + (4*t^7.8)/g1^18 + 4*g1^21*t^7.9 + 7*g1^13*t^8.03 - g1^5*t^8.17 - (5*t^8.3)/g1^3 + g1^36*t^8.39 + 4*g1^28*t^8.53 + (4*t^8.57)/g1^19 + 13*g1^20*t^8.66 + (4*t^8.7)/g1^27 + 15*g1^12*t^8.8 + 2*g1^4*t^8.93 - t^4.53/(g1^2*y) - (g1^3*t^6.7)/y - t^6.83/(g1^5*y) + (2*g1^10*t^7.33)/y + (3*g1^2*t^7.47)/y + (2*t^7.6)/(g1^6*y) - t^7.74/(g1^14*y) + (4*g1^9*t^8.1)/y + (5*g1*t^8.23)/y + (5*t^8.37)/(g1^7*y) + (4*t^8.5)/(g1^15*y) + (2*g1^16*t^8.73)/y + (4*g1^8*t^8.87)/y - (t^4.53*y)/g1^2 - g1^3*t^6.7*y - (t^6.83*y)/g1^5 + 2*g1^10*t^7.33*y + 3*g1^2*t^7.47*y + (2*t^7.6*y)/g1^6 - (t^7.74*y)/g1^14 + 4*g1^9*t^8.1*y + 5*g1*t^8.23*y + (5*t^8.37*y)/g1^7 + (4*t^8.5*y)/g1^15 + 2*g1^16*t^8.73*y + 4*g1^8*t^8.87*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 |
---|---|---|---|---|---|---|---|---|
2935 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ | 0.6448 | 0.8473 | 0.761 | [X:[], M:[0.9867, 1.0399, 0.9867, 0.76, 0.7334, 0.7866], q:[0.7467, 0.2666], qb:[0.4668, 0.4934], phi:[0.5066]] | 2*t^2.2 + 2*t^2.28 + t^2.36 + 2*t^2.96 + 2*t^3.12 + t^3.72 + t^4.32 + 4*t^4.4 + 5*t^4.48 + 5*t^4.56 + 2*t^4.64 + t^4.72 + 4*t^5.16 + 4*t^5.24 + 5*t^5.32 + 3*t^5.4 + 2*t^5.48 + 3*t^5.92 - 2*t^6. - t^4.52/y - t^4.52*y | detail | |
2936 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_2$ | 0.6465 | 0.8512 | 0.7595 | [X:[], M:[0.9797, 1.0609, 0.9797, 0.7652, 0.7246, 0.7652], q:[0.7449, 0.2754], qb:[0.4492, 0.4898], phi:[0.5102]] | 2*t^2.17 + 3*t^2.3 + 2*t^2.94 + 2*t^3.18 + t^3.58 + t^4.23 + 4*t^4.35 + 7*t^4.47 + 6*t^4.59 + 4*t^5.11 + 6*t^5.23 + 3*t^5.36 + 5*t^5.48 + 2*t^5.76 + 4*t^5.88 - 4*t^6. - t^4.53/y - t^4.53*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 |
---|---|---|---|---|---|---|---|---|---|
548 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6298 | 0.8212 | 0.7669 | [X:[], M:[0.9687, 1.094, 0.9687, 0.7422, 0.7422], q:[0.7422, 0.2892], qb:[0.453, 0.453], phi:[0.5157]] | 4*t^2.23 + 2*t^2.91 + 2*t^3.28 + 2*t^3.59 + 3*t^4.26 + 10*t^4.45 + 8*t^5.13 + 6*t^5.51 + 10*t^5.81 - 6*t^6. - t^4.55/y - t^4.55*y | detail |