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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50898 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_1M_5$ + $ M_1M_6$ | 0.6634 | 0.8375 | 0.7921 | [X:[], M:[1.1939, 0.7755, 0.8061, 0.8163, 0.8061, 0.8061], q:[0.4082, 0.398], qb:[0.8163, 0.7857], phi:[0.398]] | [X:[], M:[[3], [12], [-3], [-8], [-3], [-3]], q:[[-4], [1]], qb:[[-8], [7]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_2$, $ \phi_1^2$, $ M_3$, $ M_5$, $ M_6$, $ M_4$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_2M_5$, $ M_2M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_3M_6$, $ M_5M_6$, $ M_6^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_4M_5$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$ | $\phi_1^3q_1q_2$ | -2 | t^2.33 + t^2.39 + 3*t^2.42 + t^2.45 + t^3.61 + 2*t^3.64 + t^4.65 + t^4.71 + 3*t^4.74 + 2*t^4.78 + 4*t^4.81 + 7*t^4.84 + 3*t^4.87 + t^4.9 - 2*t^6. + 3*t^6.03 + 6*t^6.06 + 2*t^6.09 + t^6.98 + t^7.04 + 3*t^7.07 + 2*t^7.1 + 3*t^7.13 + 5*t^7.16 + 3*t^7.19 + 7*t^7.22 + 13*t^7.26 + 9*t^7.29 + 3*t^7.32 + t^7.35 - 3*t^8.33 - 3*t^8.36 - 4*t^8.39 - 7*t^8.42 + 3*t^8.45 + 11*t^8.48 + 6*t^8.51 + 2*t^8.54 - t^4.19/y - t^6.52/y - t^6.58/y - (2*t^6.61)/y - t^6.64/y + t^7.71/y + (4*t^7.74)/y + (3*t^7.78)/y + (4*t^7.81)/y + (4*t^7.84)/y + (4*t^7.87)/y - t^8.85/y - t^8.91/y - t^8.94/y - t^4.19*y - t^6.52*y - t^6.58*y - 2*t^6.61*y - t^6.64*y + t^7.71*y + 4*t^7.74*y + 3*t^7.78*y + 4*t^7.81*y + 4*t^7.84*y + 4*t^7.87*y - t^8.85*y - t^8.91*y - t^8.94*y | g1^12*t^2.33 + g1^2*t^2.39 + (3*t^2.42)/g1^3 + t^2.45/g1^8 + t^3.61/g1^2 + (2*t^3.64)/g1^7 + g1^24*t^4.65 + g1^14*t^4.71 + 3*g1^9*t^4.74 + 2*g1^4*t^4.78 + (4*t^4.81)/g1 + (7*t^4.84)/g1^6 + (3*t^4.87)/g1^11 + t^4.9/g1^16 - 2*t^6. + (3*t^6.03)/g1^5 + (6*t^6.06)/g1^10 + (2*t^6.09)/g1^15 + g1^36*t^6.98 + g1^26*t^7.04 + 3*g1^21*t^7.07 + 2*g1^16*t^7.1 + 3*g1^11*t^7.13 + 5*g1^6*t^7.16 + 3*g1*t^7.19 + (7*t^7.22)/g1^4 + (13*t^7.26)/g1^9 + (9*t^7.29)/g1^14 + (3*t^7.32)/g1^19 + t^7.35/g1^24 - 3*g1^12*t^8.33 - 3*g1^7*t^8.36 - 4*g1^2*t^8.39 - (7*t^8.42)/g1^3 + (3*t^8.45)/g1^8 + (11*t^8.48)/g1^13 + (6*t^8.51)/g1^18 + (2*t^8.54)/g1^23 - (g1*t^4.19)/y - (g1^13*t^6.52)/y - (g1^3*t^6.58)/y - (2*t^6.61)/(g1^2*y) - t^6.64/(g1^7*y) + (g1^14*t^7.71)/y + (4*g1^9*t^7.74)/y + (3*g1^4*t^7.78)/y + (4*t^7.81)/(g1*y) + (4*t^7.84)/(g1^6*y) + (4*t^7.87)/(g1^11*y) - (g1^25*t^8.85)/y - (g1^15*t^8.91)/y - (g1^10*t^8.94)/y - g1*t^4.19*y - g1^13*t^6.52*y - g1^3*t^6.58*y - (2*t^6.61*y)/g1^2 - (t^6.64*y)/g1^7 + g1^14*t^7.71*y + 4*g1^9*t^7.74*y + 3*g1^4*t^7.78*y + (4*t^7.81*y)/g1 + (4*t^7.84*y)/g1^6 + (4*t^7.87*y)/g1^11 - g1^25*t^8.85*y - g1^15*t^8.91*y - g1^10*t^8.94*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 |
---|---|---|---|---|---|---|---|---|
56080 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_1M_5$ + $ M_1M_6$ + $ M_2M_7$ | 0.6469 | 0.8121 | 0.7965 | [X:[], M:[1.2069, 0.8276, 0.7931, 0.7816, 0.7931, 0.7931, 1.1724], q:[0.3908, 0.4023], qb:[0.7816, 0.8161], phi:[0.4023]] | t^2.34 + 3*t^2.38 + t^2.41 + t^3.52 + 2*t^3.55 + t^3.59 + t^4.69 + 3*t^4.72 + 7*t^4.76 + 4*t^4.79 + t^4.83 + t^5.86 + 5*t^5.9 + 7*t^5.93 + 3*t^5.97 - 2*t^6. - t^4.21/y - t^4.21*y | detail | |
56078 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_1M_5$ + $ M_1M_6$ + $ M_2^2$ + $ M_4X_1$ | 0.6102 | 0.7716 | 0.7908 | [X:[1.3333], M:[1.25, 1.0, 0.75, 0.6667, 0.75, 0.75], q:[0.3333, 0.4167], qb:[0.6667, 0.9167], phi:[0.4167]] | 3*t^2.25 + t^2.5 + t^3. + 2*t^3.25 + t^3.5 + t^4. + 6*t^4.5 + 4*t^4.75 + t^5. + 3*t^5.25 + 6*t^5.5 + 3*t^5.75 - t^6. - t^4.25/y - t^4.25*y | detail | {a: 3749/6144, c: 4741/6144, X1: 4/3, M1: 5/4, M2: 1, M3: 3/4, M4: 2/3, M5: 3/4, M6: 3/4, q1: 1/3, q2: 5/12, qb1: 2/3, qb2: 11/12, phi1: 5/12} |
56081 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_1M_5$ + $ M_1M_6$ + $ M_7\phi_1^2$ | 0.6467 | 0.8084 | 0.8 | [X:[], M:[1.1957, 0.7829, 0.8043, 0.8114, 0.8043, 0.8043, 1.2028], q:[0.4057, 0.3986], qb:[0.8114, 0.79], phi:[0.3986]] | t^2.35 + 3*t^2.41 + t^2.43 + 2*t^3.61 + 2*t^3.63 + t^4.7 + 3*t^4.76 + t^4.78 + t^4.8 + 6*t^4.83 + 3*t^4.85 + t^4.87 + t^5.96 - 3*t^6. - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
48304 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_1M_5$ | 0.6474 | 0.8091 | 0.8001 | [X:[], M:[1.1909, 0.7638, 0.8091, 0.8241, 0.8091], q:[0.4121, 0.397], qb:[0.8241, 0.7789], phi:[0.397]] | t^2.29 + t^2.38 + 2*t^2.43 + t^2.47 + t^3.57 + t^3.62 + 2*t^3.66 + t^4.58 + t^4.67 + 2*t^4.72 + 2*t^4.76 + 3*t^4.81 + 4*t^4.85 + 2*t^4.9 + t^4.94 + t^5.86 + t^5.95 - t^4.19/y - t^4.19*y | detail |