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 |
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5478 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6438 | 0.8286 | 0.777 | [X:[], M:[0.6775, 0.9569, 0.8603, 0.7742, 1.2258, 0.7742, 1.0, 0.8172], q:[0.844, 0.4785], qb:[0.2957, 0.7474], phi:[0.4086]] | [X:[], M:[[18], [-10], [14], [-6], [6], [-6], [0], [4]], q:[[-13], [-5]], qb:[[-1], [11]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_1$, $ M_4$, $ M_6$, $ M_8$, $ \phi_1^2$, $ M_3$, $ M_2$, $ M_7$, $ M_1^2$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_1M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_8$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_8$, $ M_6M_8$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ M_8^2$, $ M_8\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_7$, $ M_3M_8$, $ M_3\phi_1^2$, $ M_3^2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_4M_7$, $ M_6M_7$, $ M_2M_8$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_7M_8$, $ M_7\phi_1^2$, $ M_2^2$ | . | -2 | t^2.03 + 2*t^2.32 + 2*t^2.45 + t^2.58 + t^2.87 + t^3. + t^4.07 + t^4.1 + 2*t^4.36 + 2*t^4.48 + t^4.61 + 3*t^4.64 + 5*t^4.77 + 6*t^4.9 + 3*t^5.03 + t^5.16 + 2*t^5.19 + 4*t^5.32 + 2*t^5.45 + t^5.74 - 2*t^6. + t^6.1 + 2*t^6.39 + t^6.42 + 2*t^6.52 + t^6.65 + 2*t^6.68 + 4*t^6.81 + 6*t^6.94 + 4*t^6.97 + 3*t^7.07 + 5*t^7.1 + t^7.19 + 10*t^7.23 + 12*t^7.36 + 7*t^7.48 + 2*t^7.52 + 2*t^7.61 + 6*t^7.64 + t^7.74 + 7*t^7.77 + 2*t^7.9 - 2*t^8.03 + 2*t^8.06 + t^8.13 + 2*t^8.19 - 6*t^8.32 + 2*t^8.42 - 7*t^8.45 + 2*t^8.55 - 5*t^8.58 + t^8.61 + t^8.68 + t^8.71 + 4*t^8.84 - 5*t^8.87 + 6*t^8.97 - t^4.23/y - t^6.26/y - t^6.55/y - (2*t^6.68)/y - t^6.81/y - t^7.1/y + (3*t^7.36)/y + (2*t^7.48)/y + t^7.61/y + (2*t^7.64)/y + (6*t^7.77)/y + (5*t^7.9)/y + (3*t^8.03)/y + (3*t^8.19)/y - t^8.29/y + (4*t^8.32)/y + (3*t^8.45)/y - (2*t^8.71)/y - t^8.84/y - t^4.23*y - t^6.26*y - t^6.55*y - 2*t^6.68*y - t^6.81*y - t^7.1*y + 3*t^7.36*y + 2*t^7.48*y + t^7.61*y + 2*t^7.64*y + 6*t^7.77*y + 5*t^7.9*y + 3*t^8.03*y + 3*t^8.19*y - t^8.29*y + 4*t^8.32*y + 3*t^8.45*y - 2*t^8.71*y - t^8.84*y | g1^18*t^2.03 + (2*t^2.32)/g1^6 + 2*g1^4*t^2.45 + g1^14*t^2.58 + t^2.87/g1^10 + t^3. + g1^36*t^4.07 + t^4.1/g1^8 + 2*g1^12*t^4.36 + 2*g1^22*t^4.48 + g1^32*t^4.61 + (3*t^4.64)/g1^12 + (5*t^4.77)/g1^2 + 6*g1^8*t^4.9 + 3*g1^18*t^5.03 + g1^28*t^5.16 + (2*t^5.19)/g1^16 + (4*t^5.32)/g1^6 + 2*g1^4*t^5.45 + t^5.74/g1^20 - 2*t^6. + g1^54*t^6.1 + 2*g1^30*t^6.39 + t^6.42/g1^14 + 2*g1^40*t^6.52 + g1^50*t^6.65 + 2*g1^6*t^6.68 + 4*g1^16*t^6.81 + 6*g1^26*t^6.94 + (4*t^6.97)/g1^18 + 3*g1^36*t^7.07 + (5*t^7.1)/g1^8 + g1^46*t^7.19 + 10*g1^2*t^7.23 + 12*g1^12*t^7.36 + 7*g1^22*t^7.48 + (2*t^7.52)/g1^22 + 2*g1^32*t^7.61 + (6*t^7.64)/g1^12 + g1^42*t^7.74 + (7*t^7.77)/g1^2 + 2*g1^8*t^7.9 - 2*g1^18*t^8.03 + (2*t^8.06)/g1^26 + g1^72*t^8.13 + (2*t^8.19)/g1^16 - (6*t^8.32)/g1^6 + 2*g1^48*t^8.42 - 7*g1^4*t^8.45 + 2*g1^58*t^8.55 - 5*g1^14*t^8.58 + t^8.61/g1^30 + g1^68*t^8.68 + g1^24*t^8.71 + 4*g1^34*t^8.84 - (5*t^8.87)/g1^10 + 6*g1^44*t^8.97 - (g1^2*t^4.23)/y - (g1^20*t^6.26)/y - t^6.55/(g1^4*y) - (2*g1^6*t^6.68)/y - (g1^16*t^6.81)/y - t^7.1/(g1^8*y) + (3*g1^12*t^7.36)/y + (2*g1^22*t^7.48)/y + (g1^32*t^7.61)/y + (2*t^7.64)/(g1^12*y) + (6*t^7.77)/(g1^2*y) + (5*g1^8*t^7.9)/y + (3*g1^18*t^8.03)/y + (3*t^8.19)/(g1^16*y) - (g1^38*t^8.29)/y + (4*t^8.32)/(g1^6*y) + (3*g1^4*t^8.45)/y - (2*g1^24*t^8.71)/y - (g1^34*t^8.84)/y - g1^2*t^4.23*y - g1^20*t^6.26*y - (t^6.55*y)/g1^4 - 2*g1^6*t^6.68*y - g1^16*t^6.81*y - (t^7.1*y)/g1^8 + 3*g1^12*t^7.36*y + 2*g1^22*t^7.48*y + g1^32*t^7.61*y + (2*t^7.64*y)/g1^12 + (6*t^7.77*y)/g1^2 + 5*g1^8*t^7.9*y + 3*g1^18*t^8.03*y + (3*t^8.19*y)/g1^16 - g1^38*t^8.29*y + (4*t^8.32*y)/g1^6 + 3*g1^4*t^8.45*y - 2*g1^24*t^8.71*y - g1^34*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3883 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ | 0.6284 | 0.8016 | 0.7839 | [X:[], M:[0.6871, 0.9516, 0.8678, 0.771, 1.229, 0.771, 1.0], q:[0.8371, 0.4758], qb:[0.2952, 0.7533], phi:[0.4097]] | t^2.06 + 2*t^2.31 + t^2.46 + t^2.6 + t^2.85 + t^3. + t^3.54 + t^4.08 + t^4.12 + 2*t^4.37 + t^4.52 + 3*t^4.63 + t^4.66 + 3*t^4.77 + 4*t^4.92 + 2*t^5.06 + 2*t^5.17 + t^5.21 + 3*t^5.31 + t^5.46 + t^5.6 + t^5.71 + 2*t^5.85 - t^6. - t^4.23/y - t^4.23*y | detail |