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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56191 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6825 | 0.8676 | 0.7867 | [X:[], M:[0.8313, 1.2078, 0.7922, 0.7922, 0.7922, 0.8705, 0.8313], q:[0.753, 0.4157], qb:[0.3765, 0.7922], phi:[0.4157]] | [X:[], M:[[-4], [-1], [1], [1], [1], [-9], [-4]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_3$, $ M_4$, $ M_5$, $ M_1$, $ M_7$, $ \phi_1^2$, $ M_6$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_1M_4$, $ M_1M_5$, $ M_3M_7$, $ M_4M_7$, $ M_5M_7$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_3M_6$, $ M_4M_6$, $ M_5M_6$, $ M_1M_7$, $ M_7^2$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_6M_7$, $ M_6\phi_1^2$, $ M_6^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_1\tilde{q}_1\tilde{q}_2$, $ M_7\tilde{q}_1\tilde{q}_2$ | -1 | 3*t^2.38 + 3*t^2.49 + t^2.61 + t^3.51 + t^3.74 + 2*t^4.64 + 7*t^4.75 + 8*t^4.87 + 8*t^4.99 + 3*t^5.11 + t^5.22 + t^5.76 + 2*t^5.88 - t^6. + 2*t^6.24 + t^6.35 + 3*t^7.01 + 12*t^7.13 + 15*t^7.25 + 18*t^7.36 + 17*t^7.48 + 8*t^7.6 + 3*t^7.72 + t^7.83 + 2*t^8.14 + t^8.26 - 8*t^8.38 - 7*t^8.49 - 5*t^8.61 + 2*t^8.73 + 2*t^8.85 + t^8.96 - t^4.25/y - (2*t^6.62)/y - (3*t^6.74)/y - t^6.86/y + t^7.64/y + (6*t^7.75)/y + (11*t^7.87)/y + (6*t^7.99)/y + (3*t^8.11)/y + (3*t^8.88)/y - t^4.25*y - 2*t^6.62*y - 3*t^6.74*y - t^6.86*y + t^7.64*y + 6*t^7.75*y + 11*t^7.87*y + 6*t^7.99*y + 3*t^8.11*y + 3*t^8.88*y | 3*g1*t^2.38 + (3*t^2.49)/g1^4 + t^2.61/g1^9 + g1^4*t^3.51 + t^3.74/g1^6 + 2*g1^7*t^4.64 + 7*g1^2*t^4.75 + (8*t^4.87)/g1^3 + (8*t^4.99)/g1^8 + (3*t^5.11)/g1^13 + t^5.22/g1^18 + g1^10*t^5.76 + 2*g1^5*t^5.88 - t^6. + (2*t^6.24)/g1^10 + t^6.35/g1^15 + 3*g1^8*t^7.01 + 12*g1^3*t^7.13 + (15*t^7.25)/g1^2 + (18*t^7.36)/g1^7 + (17*t^7.48)/g1^12 + (8*t^7.6)/g1^17 + (3*t^7.72)/g1^22 + t^7.83/g1^27 + 2*g1^11*t^8.14 + g1^6*t^8.26 - 8*g1*t^8.38 - (7*t^8.49)/g1^4 - (5*t^8.61)/g1^9 + (2*t^8.73)/g1^14 + (2*t^8.85)/g1^19 + t^8.96/g1^24 - t^4.25/(g1^2*y) - (2*t^6.62)/(g1*y) - (3*t^6.74)/(g1^6*y) - t^6.86/(g1^11*y) + (g1^7*t^7.64)/y + (6*g1^2*t^7.75)/y + (11*t^7.87)/(g1^3*y) + (6*t^7.99)/(g1^8*y) + (3*t^8.11)/(g1^13*y) + (3*g1^5*t^8.88)/y - (t^4.25*y)/g1^2 - (2*t^6.62*y)/g1 - (3*t^6.74*y)/g1^6 - (t^6.86*y)/g1^11 + g1^7*t^7.64*y + 6*g1^2*t^7.75*y + (11*t^7.87*y)/g1^3 + (6*t^7.99*y)/g1^8 + (3*t^8.11*y)/g1^13 + 3*g1^5*t^8.88*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 |
---|---|---|---|---|---|---|---|---|---|
50974 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.6685 | 0.8428 | 0.7932 | [X:[], M:[0.8435, 1.2109, 0.7891, 0.7891, 0.7891, 0.898], q:[0.7347, 0.4218], qb:[0.3673, 0.7891], phi:[0.4218]] | 3*t^2.37 + 2*t^2.53 + t^2.69 + 2*t^3.47 + t^3.8 + 2*t^4.57 + 7*t^4.73 + 5*t^4.9 + 5*t^5.06 + 2*t^5.22 + t^5.39 + t^5.67 + 5*t^5.84 - t^4.27/y - t^4.27*y | detail | {a: 5503/8232, c: 3469/4116, M1: 124/147, M2: 178/147, M3: 116/147, M4: 116/147, M5: 116/147, M6: 44/49, q1: 36/49, q2: 62/147, qb1: 18/49, qb2: 116/147, phi1: 62/147} |