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 |
---|---|---|---|---|---|---|---|---|---|
1365 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.6444 | 0.8674 | 0.7428 | [X:[], M:[0.9187, 1.244, 0.756, 0.756, 0.7033, 0.756], q:[0.7297, 0.3517], qb:[0.3517, 0.4044], phi:[0.5407]] | [X:[], M:[[4], [-12], [12], [12], [-10], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ q_2\tilde{q}_1$, $ M_3$, $ M_4$, $ M_6$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3M_5$, $ M_4M_5$, $ M_5M_6$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_6^2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_5$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_1M_4$, $ M_1M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$ | 1 | 2*t^2.11 + 4*t^2.27 + t^2.76 + 2*t^3.24 + t^3.4 + t^3.73 + t^3.89 + t^4.05 + 3*t^4.22 + 8*t^4.38 + 10*t^4.54 + 2*t^4.87 + 4*t^5.02 + 4*t^5.35 + 10*t^5.51 + 4*t^5.67 + t^6. + 4*t^6.16 + 4*t^6.32 + 4*t^6.33 + 11*t^6.49 + 20*t^6.65 + 21*t^6.8 + 2*t^6.98 + 5*t^7.13 + 11*t^7.29 + t^7.45 + 4*t^7.46 + 12*t^7.62 + 24*t^7.78 + 11*t^7.94 - t^7.95 + t^8.1 - 7*t^8.11 - 3*t^8.27 + 10*t^8.43 + 5*t^8.44 + 10*t^8.58 + 12*t^8.6 + 21*t^8.76 + 40*t^8.91 - t^4.62/y - t^6.73/y - (2*t^6.89)/y + t^7.22/y + (8*t^7.38)/y + (6*t^7.54)/y + (2*t^7.87)/y + (4*t^8.02)/y + (6*t^8.35)/y + (11*t^8.51)/y + (4*t^8.67)/y + t^8.84/y - t^4.62*y - t^6.73*y - 2*t^6.89*y + t^7.22*y + 8*t^7.38*y + 6*t^7.54*y + 2*t^7.87*y + 4*t^8.02*y + 6*t^8.35*y + 11*t^8.51*y + 4*t^8.67*y + t^8.84*y | (2*t^2.11)/g1^10 + 4*g1^12*t^2.27 + g1^4*t^2.76 + (2*t^3.24)/g1^4 + g1^18*t^3.4 + t^3.73/g1^12 + g1^10*t^3.89 + g1^32*t^4.05 + (3*t^4.22)/g1^20 + 8*g1^2*t^4.38 + 10*g1^24*t^4.54 + (2*t^4.87)/g1^6 + 4*g1^16*t^5.02 + (4*t^5.35)/g1^14 + 10*g1^8*t^5.51 + 4*g1^30*t^5.67 + t^6. + 4*g1^22*t^6.16 + 4*g1^44*t^6.32 + (4*t^6.33)/g1^30 + (11*t^6.49)/g1^8 + 20*g1^14*t^6.65 + 21*g1^36*t^6.8 + (2*t^6.98)/g1^16 + 5*g1^6*t^7.13 + 11*g1^28*t^7.29 + g1^50*t^7.45 + (4*t^7.46)/g1^24 + (12*t^7.62)/g1^2 + 24*g1^20*t^7.78 + 11*g1^42*t^7.94 - t^7.95/g1^32 + g1^64*t^8.1 - (7*t^8.11)/g1^10 - 3*g1^12*t^8.27 + 10*g1^34*t^8.43 + (5*t^8.44)/g1^40 + 10*g1^56*t^8.58 + (12*t^8.6)/g1^18 + 21*g1^4*t^8.76 + 40*g1^26*t^8.91 - t^4.62/(g1^2*y) - t^6.73/(g1^12*y) - (2*g1^10*t^6.89)/y + t^7.22/(g1^20*y) + (8*g1^2*t^7.38)/y + (6*g1^24*t^7.54)/y + (2*t^7.87)/(g1^6*y) + (4*g1^16*t^8.02)/y + (6*t^8.35)/(g1^14*y) + (11*g1^8*t^8.51)/y + (4*g1^30*t^8.67)/y + t^8.84/(g1^22*y) - (t^4.62*y)/g1^2 - (t^6.73*y)/g1^12 - 2*g1^10*t^6.89*y + (t^7.22*y)/g1^20 + 8*g1^2*t^7.38*y + 6*g1^24*t^7.54*y + (2*t^7.87*y)/g1^6 + 4*g1^16*t^8.02*y + (6*t^8.35*y)/g1^14 + 11*g1^8*t^8.51*y + 4*g1^30*t^8.67*y + (t^8.84*y)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
2422 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_1M_7$ | 0.637 | 0.8543 | 0.7456 | [X:[], M:[0.9203, 1.2391, 0.7609, 0.7609, 0.6992, 0.7609, 1.0797], q:[0.7301, 0.3496], qb:[0.3496, 0.4113], phi:[0.5398]] | 2*t^2.1 + 4*t^2.28 + 3*t^3.24 + t^3.42 + t^3.72 + t^3.9 + t^4.09 + 3*t^4.2 + 8*t^4.38 + 10*t^4.57 + 6*t^5.34 + 13*t^5.52 + 4*t^5.71 - t^6. - t^4.62/y - t^4.62*y | detail | |
2421 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.6573 | 0.8878 | 0.7404 | [X:[], M:[0.9247, 1.2259, 0.7741, 0.7741, 0.6882, 0.7741, 0.8388], q:[0.7312, 0.3441], qb:[0.3441, 0.43], phi:[0.5376]] | 2*t^2.06 + 4*t^2.32 + t^2.52 + t^2.77 + 2*t^3.23 + t^3.68 + t^3.94 + 3*t^4.13 + t^4.19 + 8*t^4.39 + 2*t^4.58 + 10*t^4.64 + 6*t^4.84 + t^5.03 + 4*t^5.1 + 5*t^5.29 + 8*t^5.55 + 2*t^5.74 + t^6. - t^4.61/y - t^4.61*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 |
---|---|---|---|---|---|---|---|---|---|
871 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6257 | 0.8329 | 0.7513 | [X:[], M:[0.9213, 1.2362, 0.7638, 0.7638, 0.6968], q:[0.7303, 0.3484], qb:[0.3484, 0.4154], phi:[0.5394]] | 2*t^2.09 + 3*t^2.29 + t^2.76 + 2*t^3.24 + t^3.44 + 2*t^3.71 + t^3.91 + t^4.11 + 3*t^4.18 + 6*t^4.38 + 6*t^4.58 + 2*t^4.85 + 3*t^5.06 + 4*t^5.33 + 8*t^5.53 + 3*t^5.73 + 2*t^5.8 + 3*t^6. - t^4.62/y - t^4.62*y | detail |