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 |
---|---|---|---|---|---|---|---|---|---|
1385 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_6$ | 0.7042 | 0.8689 | 0.8105 | [X:[], M:[0.9263, 1.0246, 1.0737, 0.8772, 0.9263, 0.9754], q:[0.4632, 0.6105], qb:[0.4632, 0.5123], phi:[0.4877]] | [X:[], M:[[-6], [2], [6], [-10], [-6], [-2]], q:[[-3], [9]], qb:[[-3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4M_5$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ M_1M_6$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | . | -4 | t^2.63 + 2*t^2.78 + 3*t^2.93 + t^3.22 + 3*t^4.24 + 2*t^4.39 + t^4.54 + 2*t^4.68 + t^4.83 + t^5.13 + t^5.26 + 2*t^5.41 + 4*t^5.56 + 5*t^5.71 + 5*t^5.85 - 4*t^6. - t^6.29 - t^6.44 + 3*t^6.87 + 6*t^7.02 + 11*t^7.17 + 4*t^7.32 + 2*t^7.46 + 2*t^7.61 + t^7.9 + 2*t^8.04 + 2*t^8.05 + 4*t^8.19 - t^8.2 + 6*t^8.34 + t^8.35 + 12*t^8.48 + 6*t^8.63 - t^8.78 - 11*t^8.93 - t^4.46/y - t^7.09/y - t^7.24/y - t^7.39/y + t^7.54/y + t^7.68/y + t^7.83/y + (2*t^8.41)/y + (4*t^8.56)/y + (6*t^8.71)/y + (4*t^8.85)/y - t^4.46*y - t^7.09*y - t^7.24*y - t^7.39*y + t^7.54*y + t^7.68*y + t^7.83*y + 2*t^8.41*y + 4*t^8.56*y + 6*t^8.71*y + 4*t^8.85*y | t^2.63/g1^10 + (2*t^2.78)/g1^6 + (3*t^2.93)/g1^2 + g1^6*t^3.22 + (3*t^4.24)/g1^7 + (2*t^4.39)/g1^3 + g1*t^4.54 + 2*g1^5*t^4.68 + g1^9*t^4.83 + g1^17*t^5.13 + t^5.26/g1^20 + (2*t^5.41)/g1^16 + (4*t^5.56)/g1^12 + (5*t^5.71)/g1^8 + (5*t^5.85)/g1^4 - 4*t^6. - g1^8*t^6.29 - g1^12*t^6.44 + (3*t^6.87)/g1^17 + (6*t^7.02)/g1^13 + (11*t^7.17)/g1^9 + (4*t^7.32)/g1^5 + (2*t^7.46)/g1 + 2*g1^3*t^7.61 + t^7.9/g1^30 + (2*t^8.04)/g1^26 + 2*g1^15*t^8.05 + (4*t^8.19)/g1^22 - g1^19*t^8.2 + (6*t^8.34)/g1^18 + g1^23*t^8.35 + (12*t^8.48)/g1^14 + (6*t^8.63)/g1^10 - t^8.78/g1^6 - (11*t^8.93)/g1^2 - t^4.46/(g1*y) - t^7.09/(g1^11*y) - t^7.24/(g1^7*y) - t^7.39/(g1^3*y) + (g1*t^7.54)/y + (g1^5*t^7.68)/y + (g1^9*t^7.83)/y + (2*t^8.41)/(g1^16*y) + (4*t^8.56)/(g1^12*y) + (6*t^8.71)/(g1^8*y) + (4*t^8.85)/(g1^4*y) - (t^4.46*y)/g1 - (t^7.09*y)/g1^11 - (t^7.24*y)/g1^7 - (t^7.39*y)/g1^3 + g1*t^7.54*y + g1^5*t^7.68*y + g1^9*t^7.83*y + (2*t^8.41*y)/g1^16 + (4*t^8.56*y)/g1^12 + (6*t^8.71*y)/g1^8 + (4*t^8.85*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
2441 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_6$ + $ M_4M_7$ | 0.6954 | 0.852 | 0.8161 | [X:[], M:[0.9581, 1.014, 1.0419, 0.9302, 0.9581, 0.986, 1.0698], q:[0.4791, 0.5628], qb:[0.4791, 0.507], phi:[0.493]] | 2*t^2.87 + 3*t^2.96 + t^3.13 + t^3.21 + 3*t^4.35 + 2*t^4.44 + t^4.52 + 2*t^4.6 + t^4.69 + t^4.86 + t^5.75 + 5*t^5.83 + 4*t^5.92 - 4*t^6. - t^4.48/y - t^4.48*y | detail | |
2437 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_6$ + $ M_7q_2\tilde{q}_1$ | 0.7118 | 0.8844 | 0.8049 | [X:[], M:[0.9078, 1.0307, 1.0922, 0.8463, 0.9078, 0.9693, 0.9078], q:[0.4539, 0.6383], qb:[0.4539, 0.5154], phi:[0.4846]] | t^2.54 + 3*t^2.72 + 3*t^2.91 + 3*t^4.18 + 2*t^4.36 + t^4.55 + 2*t^4.73 + t^4.91 + t^5.08 + 3*t^5.26 + t^5.28 + 7*t^5.45 + 8*t^5.63 + 4*t^5.82 - 6*t^6. - t^4.45/y - t^4.45*y | detail | |
2436 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_6$ + $ \phi_1q_2^2$ | 0.6796 | 0.8561 | 0.7939 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.9412], q:[0.4118, 0.7647], qb:[0.4118, 0.5294], phi:[0.4706]] | t^2.12 + 2*t^2.47 + 3*t^2.82 + t^3.53 + 3*t^3.88 + 3*t^4.24 + 3*t^4.59 + 6*t^4.94 + 6*t^5.29 + 5*t^5.65 - t^4.41/y - t^4.41*y | detail | {a: 3339/4913, c: 4206/4913, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 16/17, q1: 7/17, q2: 13/17, qb1: 7/17, qb2: 9/17, phi1: 8/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
899 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ | 0.702 | 0.8645 | 0.812 | [X:[], M:[0.933, 1.0223, 1.067, 0.8883, 0.933], q:[0.4665, 0.6005], qb:[0.4665, 0.5112], phi:[0.4888]] | t^2.66 + 2*t^2.8 + 2*t^2.93 + t^3.07 + t^3.2 + 3*t^4.27 + 2*t^4.4 + t^4.53 + 2*t^4.67 + t^4.8 + t^5.07 + t^5.33 + 2*t^5.46 + 3*t^5.6 + 4*t^5.73 + 4*t^5.87 - 2*t^6. - t^4.47/y - t^4.47*y | detail |