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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6923 | 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_3M_7$ + $ M_8\phi_1q_2\tilde{q}_1$ + $ M_7M_9$ | 0.624 | 0.804 | 0.7761 | [X:[], M:[0.7844, 0.9117, 0.9682, 0.7279, 1.2721, 0.7279, 1.0318, 0.8481, 0.9682], q:[0.7597, 0.4558], qb:[0.2721, 0.8162], phi:[0.424]] | [X:[], M:[[16], [-12], [7], [-3], [3], [-3], [-7], [2], [7]], q:[[-10], [-6]], qb:[[3], [9]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_4$, $ M_6$, $ M_1$, $ M_8$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_9$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_4$, $ M_1M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_4M_8$, $ M_6M_8$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_1M_8$, $ M_1\phi_1^2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ M_8^2$, $ M_4M_9$, $ M_6M_9$, $ M_8\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_1M_9$, $ M_2M_8$, $ M_2\phi_1^2$, $ M_3M_8$, $ M_8M_9$, $ M_3\phi_1^2$, $ M_9\phi_1^2$, $ M_2^2$, $ M_2M_3$, $ M_2M_9$, $ M_3^2$, $ M_3M_9$, $ M_9^2$ | . | -3 | 2*t^2.18 + t^2.35 + 2*t^2.54 + t^2.74 + 2*t^2.9 + t^4.01 + 3*t^4.37 + 2*t^4.54 + t^4.71 + 5*t^4.73 + 2*t^4.9 + 2*t^4.92 + 8*t^5.09 + 2*t^5.26 + 2*t^5.28 + 3*t^5.45 + t^5.47 + t^5.64 + 2*t^5.81 - 3*t^6. + t^6.19 - t^6.36 + 4*t^6.55 + t^6.72 + t^6.74 + 2*t^6.89 + 6*t^6.91 + t^7.06 + 4*t^7.08 + 2*t^7.1 + 2*t^7.25 + 13*t^7.27 + 8*t^7.44 + 3*t^7.46 + 2*t^7.61 + 12*t^7.63 + 2*t^7.65 + 3*t^7.8 + 4*t^7.82 + 8*t^7.99 + 3*t^8.01 + 2*t^8.16 - 7*t^8.18 + t^8.21 - t^8.35 + t^8.37 - 9*t^8.54 + t^8.71 - 8*t^8.9 + t^8.93 - t^4.27/y - t^6.46/y - t^6.63/y - (2*t^6.82)/y - t^7.01/y - t^7.18/y + (2*t^7.37)/y + (3*t^7.54)/y + (6*t^7.73)/y + (2*t^7.9)/y + (3*t^7.92)/y + (7*t^8.09)/y + (2*t^8.26)/y + (2*t^8.28)/y + (4*t^8.45)/y + t^8.64/y - t^8.98/y - t^4.27*y - t^6.46*y - t^6.63*y - 2*t^6.82*y - t^7.01*y - t^7.18*y + 2*t^7.37*y + 3*t^7.54*y + 6*t^7.73*y + 2*t^7.9*y + 3*t^7.92*y + 7*t^8.09*y + 2*t^8.26*y + 2*t^8.28*y + 4*t^8.45*y + t^8.64*y - t^8.98*y | (2*t^2.18)/g1^3 + g1^16*t^2.35 + 2*g1^2*t^2.54 + t^2.74/g1^12 + 2*g1^7*t^2.9 + t^4.01/g1^11 + (3*t^4.37)/g1^6 + 2*g1^13*t^4.54 + g1^32*t^4.71 + (5*t^4.73)/g1 + 2*g1^18*t^4.9 + (2*t^4.92)/g1^15 + 8*g1^4*t^5.09 + 2*g1^23*t^5.26 + (2*t^5.28)/g1^10 + 3*g1^9*t^5.45 + t^5.47/g1^24 + t^5.64/g1^5 + 2*g1^14*t^5.81 - 3*t^6. + t^6.19/g1^14 - g1^5*t^6.36 + (4*t^6.55)/g1^9 + g1^10*t^6.72 + t^6.74/g1^23 + 2*g1^29*t^6.89 + (6*t^6.91)/g1^4 + g1^48*t^7.06 + 4*g1^15*t^7.08 + (2*t^7.1)/g1^18 + 2*g1^34*t^7.25 + 13*g1*t^7.27 + 8*g1^20*t^7.44 + (3*t^7.46)/g1^13 + 2*g1^39*t^7.61 + 12*g1^6*t^7.63 + (2*t^7.65)/g1^27 + 3*g1^25*t^7.8 + (4*t^7.82)/g1^8 + 8*g1^11*t^7.99 + (3*t^8.01)/g1^22 + 2*g1^30*t^8.16 - (7*t^8.18)/g1^3 + t^8.21/g1^36 - g1^16*t^8.35 + t^8.37/g1^17 - 9*g1^2*t^8.54 + g1^21*t^8.71 - 8*g1^7*t^8.9 + t^8.93/g1^26 - (g1*t^4.27)/y - t^6.46/(g1^2*y) - (g1^17*t^6.63)/y - (2*g1^3*t^6.82)/y - t^7.01/(g1^11*y) - (g1^8*t^7.18)/y + (2*t^7.37)/(g1^6*y) + (3*g1^13*t^7.54)/y + (6*t^7.73)/(g1*y) + (2*g1^18*t^7.9)/y + (3*t^7.92)/(g1^15*y) + (7*g1^4*t^8.09)/y + (2*g1^23*t^8.26)/y + (2*t^8.28)/(g1^10*y) + (4*g1^9*t^8.45)/y + t^8.64/(g1^5*y) - (g1^33*t^8.98)/y - g1*t^4.27*y - (t^6.46*y)/g1^2 - g1^17*t^6.63*y - 2*g1^3*t^6.82*y - (t^7.01*y)/g1^11 - g1^8*t^7.18*y + (2*t^7.37*y)/g1^6 + 3*g1^13*t^7.54*y + (6*t^7.73*y)/g1 + 2*g1^18*t^7.9*y + (3*t^7.92*y)/g1^15 + 7*g1^4*t^8.09*y + 2*g1^23*t^8.26*y + (2*t^8.28*y)/g1^10 + 4*g1^9*t^8.45*y + (t^8.64*y)/g1^5 - g1^33*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
5473 | 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_3M_7$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6216 | 0.7998 | 0.7772 | [X:[], M:[0.815, 0.8887, 0.9816, 0.7222, 1.2778, 0.7222, 1.0184, 0.8519], q:[0.7406, 0.4444], qb:[0.2778, 0.8335], phi:[0.4259]] | 2*t^2.17 + t^2.45 + 2*t^2.56 + t^2.67 + t^2.94 + t^3.06 + t^3.94 + 3*t^4.33 + 2*t^4.61 + 5*t^4.72 + 2*t^4.83 + t^4.89 + 2*t^5. + 6*t^5.11 + 4*t^5.22 + t^5.33 + t^5.39 + 2*t^5.5 + 2*t^5.61 + t^5.72 - 2*t^6. - t^4.28/y - t^4.28*y | detail |