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 |
---|---|---|---|---|---|---|---|---|---|
47190 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_1M_6$ | 0.7092 | 0.8704 | 0.8148 | [X:[], M:[1.0025, 0.8407, 0.9975, 1.0531, 0.8964, 0.9975], q:[0.5265, 0.4709], qb:[0.6327, 0.476], phi:[0.4735]] | [X:[], M:[[1, 1], [-6, 0], [-1, -1], [2, 0], [-3, 1], [-1, -1]], q:[[1, 0], [-2, -1]], qb:[[5, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_6$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ M_2M_5$, $ \phi_1\tilde{q}_1^2$, $ M_2\phi_1^2$, $ M_5^2$, $ M_2M_3$, $ M_2M_6$, $ M_2M_4$, $ M_3M_5$, $ M_5M_6$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_4M_5$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$ | . | -3 | t^2.52 + t^2.69 + t^2.84 + 2*t^2.99 + t^3.16 + t^3.33 + t^4.25 + t^4.26 + t^4.28 + t^4.41 + t^4.43 + t^4.58 + t^4.73 + t^4.75 + t^4.9 + t^5.04 + t^5.21 + t^5.22 + t^5.36 + t^5.38 + t^5.51 + 3*t^5.68 + t^5.83 + t^5.85 + 2*t^5.98 - 3*t^6. + t^6.15 + t^6.32 - t^6.47 + t^6.65 + t^6.77 + t^6.78 + t^6.8 + t^6.93 + t^6.95 + t^6.97 + t^7.09 + 2*t^7.1 + 2*t^7.12 + 2*t^7.24 + 2*t^7.25 + 3*t^7.27 + t^7.41 + t^7.42 + 3*t^7.57 + t^7.59 + t^7.6 + t^7.72 + t^7.73 + t^7.74 + t^7.88 + t^7.9 + t^8.04 + t^8.06 + 2*t^8.07 + 3*t^8.2 + t^8.21 + 2*t^8.37 + t^8.49 + t^8.51 - t^8.52 + 2*t^8.54 + t^8.55 + t^8.66 + 3*t^8.67 - 3*t^8.69 + t^8.7 + t^8.83 - 2*t^8.84 - t^8.86 + 3*t^8.98 - 5*t^8.99 - t^4.42/y - t^6.94/y - t^7.11/y - t^7.41/y + t^7.43/y + t^7.73/y + t^7.9/y + t^8.21/y + t^8.36/y + (2*t^8.51)/y + t^8.53/y + (3*t^8.68)/y + (2*t^8.83)/y + (2*t^8.85)/y + t^8.98/y - t^4.42*y - t^6.94*y - t^7.11*y - t^7.41*y + t^7.43*y + t^7.73*y + t^7.9*y + t^8.21*y + t^8.36*y + 2*t^8.51*y + t^8.53*y + 3*t^8.68*y + 2*t^8.83*y + 2*t^8.85*y + t^8.98*y | t^2.52/g1^6 + (g2*t^2.69)/g1^3 + t^2.84/g1^2 + (2*t^2.99)/(g1*g2) + g1^2*t^3.16 + g1^5*g2*t^3.33 + t^4.25/(g1^5*g2^2) + t^4.26/g1^3 + (g2^2*t^4.28)/g1 + t^4.41/(g1^2*g2) + g2*t^4.43 + g1*t^4.58 + (g1^2*t^4.73)/g2 + g1^4*g2*t^4.75 + g1^5*t^4.9 + t^5.04/g1^12 + (g2*t^5.21)/g1^9 + g1^9*t^5.22 + t^5.36/g1^8 + (g2^2*t^5.38)/g1^6 + t^5.51/(g1^7*g2) + (3*t^5.68)/g1^4 + t^5.83/(g1^3*g2) + (g2*t^5.85)/g1 + (2*t^5.98)/(g1^2*g2^2) - 3*t^6. + (g1*t^6.15)/g2 + g1^4*t^6.32 - (g1^5*t^6.47)/g2 + g1^10*g2^2*t^6.65 + t^6.77/(g1^11*g2^2) + t^6.78/g1^9 + (g2^2*t^6.8)/g1^7 + t^6.93/(g1^8*g2) + (g2*t^6.95)/g1^6 + (g2^3*t^6.97)/g1^4 + t^7.09/(g1^7*g2^2) + (2*t^7.1)/g1^5 + (2*g2^2*t^7.12)/g1^3 + (2*t^7.24)/(g1^6*g2^3) + (2*t^7.25)/(g1^4*g2) + (3*g2*t^7.27)/g1^2 + t^7.41/(g1^3*g2^2) + t^7.42/g1 + t^7.57/g1^18 + (2*t^7.57)/g2 + g1^2*g2*t^7.59 + g1^4*g2^3*t^7.6 + (g1*t^7.72)/g2^2 + (g2*t^7.73)/g1^15 + g1^3*t^7.74 + t^7.88/g1^14 + (g2^2*t^7.9)/g1^12 + t^8.04/(g1^13*g2) + g1^7*t^8.06 + g1^9*g2^2*t^8.07 + (g2^3*t^8.07)/g1^9 + (3*t^8.2)/g1^10 + (g1^8*t^8.21)/g2 + (2*g2*t^8.37)/g1^7 + t^8.49/(g1^10*g2^4) + t^8.51/(g1^8*g2^2) - t^8.52/g1^6 + g1^14*g2*t^8.54 + (g2^2*t^8.54)/g1^4 + (g2^4*t^8.55)/g1^2 + t^8.66/(g1^7*g2^3) + (3*t^8.67)/(g1^5*g2) - (3*g2*t^8.69)/g1^3 + (g2^3*t^8.7)/g1 + t^8.83/(g1^4*g2^2) - (2*t^8.84)/g1^2 - g2^2*t^8.86 + (3*t^8.98)/(g1^3*g2^3) - (5*t^8.99)/(g1*g2) - t^4.42/(g1*y) - t^6.94/(g1^7*y) - (g2*t^7.11)/(g1^4*y) - t^7.41/(g1^2*g2*y) + (g2*t^7.43)/y + (g1^2*t^7.73)/(g2*y) + (g1^5*t^7.9)/y + (g2*t^8.21)/(g1^9*y) + t^8.36/(g1^8*y) + (2*t^8.51)/(g1^7*g2*y) + (g2*t^8.53)/(g1^5*y) + (3*t^8.68)/(g1^4*y) + (2*t^8.83)/(g1^3*g2*y) + (2*g2*t^8.85)/(g1*y) + t^8.98/(g1^2*g2^2*y) - (t^4.42*y)/g1 - (t^6.94*y)/g1^7 - (g2*t^7.11*y)/g1^4 - (t^7.41*y)/(g1^2*g2) + g2*t^7.43*y + (g1^2*t^7.73*y)/g2 + g1^5*t^7.9*y + (g2*t^8.21*y)/g1^9 + (t^8.36*y)/g1^8 + (2*t^8.51*y)/(g1^7*g2) + (g2*t^8.53*y)/g1^5 + (3*t^8.68*y)/g1^4 + (2*t^8.83*y)/(g1^3*g2) + (2*g2*t^8.85*y)/g1 + (t^8.98*y)/(g1^2*g2^2) |
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 |
---|---|---|---|---|---|---|---|---|
55475 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_1M_6$ + $ M_4M_7$ | 0.7145 | 0.8801 | 0.8118 | [X:[], M:[1.0032, 0.8193, 0.9968, 1.0602, 0.8828, 0.9968, 0.9398], q:[0.5301, 0.4666], qb:[0.6506, 0.4731], phi:[0.4699]] | t^2.46 + t^2.65 + 2*t^2.82 + 2*t^2.99 + t^3.37 + t^4.21 + t^4.23 + t^4.25 + t^4.4 + t^4.42 + t^4.59 + t^4.76 + t^4.78 + t^4.92 + t^4.95 + t^5.11 + 2*t^5.28 + t^5.3 + t^5.31 + t^5.45 + t^5.47 + 4*t^5.64 + 3*t^5.81 + 2*t^5.98 - 4*t^6. - t^4.41/y - t^4.41*y | detail | |
55435 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_1M_6$ + $ M_5^2$ | 0.6999 | 0.8585 | 0.8152 | [X:[], M:[1.0504, 0.9245, 0.9496, 1.0252, 1.0, 0.9496], q:[0.5126, 0.437], qb:[0.563, 0.5378], phi:[0.4874]] | t^2.77 + 2*t^2.85 + t^2.92 + t^3. + t^3.08 + t^3.3 + t^4.08 + t^4.31 + t^4.39 + t^4.46 + t^4.54 + t^4.61 + 2*t^4.69 + t^4.76 + t^4.84 + t^5.55 + t^5.62 + 3*t^5.7 + 2*t^5.77 + 3*t^5.85 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*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 |
---|---|---|---|---|---|---|---|---|---|
46681 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_1$ | 0.7101 | 0.8727 | 0.8137 | [X:[], M:[0.9774, 0.8432, 1.0226, 1.0523, 0.8729], q:[0.5261, 0.4964], qb:[0.6307, 0.4513], phi:[0.4739]] | t^2.53 + t^2.62 + t^2.84 + t^2.93 + t^3.07 + t^3.16 + t^3.25 + t^4.13 + t^4.26 + t^4.35 + t^4.4 + t^4.49 + t^4.58 + t^4.67 + t^4.8 + t^4.89 + t^5.06 + t^5.15 + t^5.21 + t^5.24 + t^5.37 + t^5.46 + t^5.55 + 2*t^5.69 + 2*t^5.78 + t^5.86 - 2*t^6. - t^4.42/y - t^4.42*y | detail |