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 |
---|---|---|---|---|---|---|---|---|---|
3516 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_2\tilde{q}_2$ | 0.6734 | 0.8329 | 0.8084 | [X:[], M:[0.6829, 1.1057, 0.9729, 0.7371, 1.1057, 1.0271, 1.0514], q:[0.7764, 0.5407], qb:[0.4864, 0.4079], phi:[0.4471]] | [X:[], M:[[36], [-12], [22], [-8], [-12], [-22], [32]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_4$, $ M_6$, $ M_7$, $ M_2$, $ M_5$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_7$, $ M_4M_6$, $ \phi_1q_1q_2$, $ M_1M_2$, $ M_1M_5$, $ M_4M_7$, $ M_2M_4$, $ M_4M_5$ | . | -2 | t^2.05 + t^2.21 + t^3.08 + t^3.15 + 2*t^3.32 + t^3.55 + t^3.79 + t^4.02 + t^4.1 + t^4.19 + 2*t^4.26 + 2*t^4.42 + t^4.59 + t^5.13 + t^5.2 + t^5.29 + 3*t^5.37 + 2*t^5.53 - 2*t^6. + t^6.07 + t^6.15 + t^6.24 + 3*t^6.31 + 2*t^6.4 + 4*t^6.47 + 5*t^6.63 + t^6.8 + t^6.87 + t^7.18 + t^7.25 + 3*t^7.34 + 4*t^7.41 + 2*t^7.5 + 5*t^7.58 + t^7.67 + 3*t^7.74 + t^7.9 - 2*t^8.05 + t^8.12 + t^8.19 - 3*t^8.21 + 2*t^8.28 + 3*t^8.36 + 2*t^8.45 + 6*t^8.52 + 2*t^8.61 + 7*t^8.68 + t^8.77 + 5*t^8.85 - 2*t^8.92 - t^8.99 - t^4.34/y - t^6.39/y - t^6.55/y + t^7.02/y + t^7.19/y + t^7.26/y - t^7.5/y - t^7.66/y + (2*t^8.13)/y + t^8.2/y + (2*t^8.29)/y + (3*t^8.37)/y - t^8.44/y + (2*t^8.53)/y + t^8.84/y - t^4.34*y - t^6.39*y - t^6.55*y + t^7.02*y + t^7.19*y + t^7.26*y - t^7.5*y - t^7.66*y + 2*t^8.13*y + t^8.2*y + 2*t^8.29*y + 3*t^8.37*y - t^8.44*y + 2*t^8.53*y + t^8.84*y | g1^36*t^2.05 + t^2.21/g1^8 + t^3.08/g1^22 + g1^32*t^3.15 + (2*t^3.32)/g1^12 + t^3.55/g1^2 + g1^8*t^3.79 + g1^18*t^4.02 + g1^72*t^4.1 + t^4.19/g1^26 + 2*g1^28*t^4.26 + (2*t^4.42)/g1^16 + t^4.59/g1^60 + g1^14*t^5.13 + g1^68*t^5.2 + t^5.29/g1^30 + 3*g1^24*t^5.37 + (2*t^5.53)/g1^20 - 2*t^6. + g1^54*t^6.07 + g1^108*t^6.15 + g1^10*t^6.24 + 3*g1^64*t^6.31 + (2*t^6.4)/g1^34 + 4*g1^20*t^6.47 + (5*t^6.63)/g1^24 + t^6.8/g1^68 + t^6.87/g1^14 + g1^50*t^7.18 + g1^104*t^7.25 + 3*g1^6*t^7.34 + 4*g1^60*t^7.41 + (2*t^7.5)/g1^38 + 5*g1^16*t^7.58 + t^7.67/g1^82 + (3*t^7.74)/g1^28 + t^7.9/g1^72 - 2*g1^36*t^8.05 + g1^90*t^8.12 + g1^144*t^8.19 - (3*t^8.21)/g1^8 + 2*g1^46*t^8.28 + 3*g1^100*t^8.36 + 2*g1^2*t^8.45 + 6*g1^56*t^8.52 + (2*t^8.61)/g1^42 + 7*g1^12*t^8.68 + t^8.77/g1^86 + (5*t^8.85)/g1^32 - 2*g1^22*t^8.92 - g1^76*t^8.99 - (g1^6*t^4.34)/y - (g1^42*t^6.39)/y - t^6.55/(g1^2*y) + (g1^18*t^7.02)/y + t^7.19/(g1^26*y) + (g1^28*t^7.26)/y - (g1^38*t^7.5)/y - t^7.66/(g1^6*y) + (2*g1^14*t^8.13)/y + (g1^68*t^8.2)/y + (2*t^8.29)/(g1^30*y) + (3*g1^24*t^8.37)/y - (g1^78*t^8.44)/y + (2*t^8.53)/(g1^20*y) + (g1^44*t^8.84)/y - g1^6*t^4.34*y - g1^42*t^6.39*y - (t^6.55*y)/g1^2 + g1^18*t^7.02*y + (t^7.19*y)/g1^26 + g1^28*t^7.26*y - g1^38*t^7.5*y - (t^7.66*y)/g1^6 + 2*g1^14*t^8.13*y + g1^68*t^8.2*y + (2*t^8.29*y)/g1^30 + 3*g1^24*t^8.37*y - g1^78*t^8.44*y + (2*t^8.53*y)/g1^20 + g1^44*t^8.84*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 |
---|---|---|---|---|---|---|---|---|
5180 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_2\tilde{q}_2$ + $ M_8q_1\tilde{q}_2$ | 0.6889 | 0.86 | 0.801 | [X:[], M:[0.6811, 1.1063, 0.9718, 0.7375, 1.1063, 1.0282, 1.0498, 0.8156], q:[0.7766, 0.5424], qb:[0.4859, 0.4078], phi:[0.4468]] | t^2.04 + t^2.21 + t^2.45 + t^3.08 + t^3.15 + 2*t^3.32 + t^3.79 + t^4.02 + t^4.09 + t^4.19 + 2*t^4.26 + 2*t^4.43 + t^4.49 + t^4.59 + t^4.66 + t^4.89 + t^5.13 + t^5.19 + t^5.3 + 3*t^5.36 + 3*t^5.53 + t^5.77 - 2*t^6. - t^4.34/y - t^4.34*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 |
---|---|---|---|---|---|---|---|---|---|
2926 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3M_6$ | 0.6797 | 0.8443 | 0.8051 | [X:[], M:[0.7219, 1.0927, 0.9967, 0.7285, 1.0927, 1.0033], q:[0.7732, 0.5049], qb:[0.4984, 0.4089], phi:[0.4536]] | t^2.17 + t^2.19 + t^2.74 + t^3.01 + 2*t^3.28 + t^3.55 + t^3.81 + t^4.08 + t^4.1 + t^4.33 + 2*t^4.35 + 2*t^4.37 + t^4.39 + t^4.91 + t^4.93 + t^5.18 + t^5.2 + 2*t^5.44 + 2*t^5.46 + t^5.48 + t^5.75 - 2*t^6. - t^4.36/y - t^4.36*y | detail |