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 |
---|---|---|---|---|---|---|---|---|---|
46748 | 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}_2^2$ + $ M_4\phi_1q_1^2$ | 0.6612 | 0.8142 | 0.8121 | [X:[], M:[1.1643, 1.0142, 0.8357, 0.7762], q:[0.3881, 0.4476], qb:[0.5977, 0.7762], phi:[0.4476]] | [X:[], M:[[3], [-18], [-3], [2]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_3$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ M_1M_4$, $ \phi_1^2q_2\tilde{q}_1$ | . | -1 | t^2.33 + t^2.51 + t^2.69 + t^3.04 + t^3.14 + t^3.49 + t^3.67 + t^3.85 + t^4.03 + t^4.12 + t^4.3 + t^4.48 + t^4.66 + t^4.84 + t^4.93 + 2*t^5.01 + t^5.19 + t^5.37 + t^5.46 + t^5.64 + t^5.73 + t^5.82 - t^6. + t^6.08 + 2*t^6.18 + t^6.27 + 2*t^6.36 + 2*t^6.54 + t^6.63 + t^6.71 + 2*t^6.81 + 2*t^6.99 + t^7.07 + 2*t^7.16 + 2*t^7.26 + t^7.34 + t^7.44 + 3*t^7.52 + 2*t^7.61 + 3*t^7.7 + t^7.88 + 2*t^7.97 + 2*t^8.06 + t^8.07 + 2*t^8.15 - t^8.33 + 2*t^8.41 + t^8.42 + 2*t^8.6 - t^8.69 + t^8.77 + t^8.78 + 2*t^8.86 + t^8.96 - t^4.34/y - t^6.67/y - t^7.03/y + t^7.3/y - t^7.39/y + t^7.66/y + t^7.84/y + (2*t^8.01)/y + t^8.19/y + t^8.37/y + t^8.46/y + t^8.55/y + t^8.64/y + t^8.73/y + (2*t^8.82)/y - t^4.34*y - t^6.67*y - t^7.03*y + t^7.3*y - t^7.39*y + t^7.66*y + t^7.84*y + 2*t^8.01*y + t^8.19*y + t^8.37*y + t^8.46*y + t^8.55*y + t^8.64*y + t^8.73*y + 2*t^8.82*y | g1^2*t^2.33 + t^2.51/g1^3 + t^2.69/g1^8 + t^3.04/g1^18 + g1^13*t^3.14 + g1^3*t^3.49 + t^3.67/g1^2 + t^3.85/g1^7 + t^4.03/g1^12 + g1^19*t^4.12 + g1^14*t^4.3 + g1^9*t^4.48 + g1^4*t^4.66 + t^4.84/g1 + g1^30*t^4.93 + (2*t^5.01)/g1^6 + t^5.19/g1^11 + t^5.37/g1^16 + g1^15*t^5.46 + g1^10*t^5.64 + t^5.73/g1^26 + g1^5*t^5.82 - t^6. + t^6.08/g1^36 + (2*t^6.18)/g1^5 + g1^26*t^6.27 + (2*t^6.36)/g1^10 + (2*t^6.54)/g1^15 + g1^16*t^6.63 + t^6.71/g1^20 + 2*g1^11*t^6.81 + 2*g1^6*t^6.99 + t^7.07/g1^30 + 2*g1*t^7.16 + 2*g1^32*t^7.26 + t^7.34/g1^4 + g1^27*t^7.44 + (3*t^7.52)/g1^9 + 2*g1^22*t^7.61 + (3*t^7.7)/g1^14 + t^7.88/g1^19 + 2*g1^12*t^7.97 + (2*t^8.06)/g1^24 + g1^43*t^8.07 + 2*g1^7*t^8.15 - g1^2*t^8.33 + (2*t^8.41)/g1^34 + g1^33*t^8.42 + 2*g1^28*t^8.6 - t^8.69/g1^8 + t^8.77/g1^44 + g1^23*t^8.78 + (2*t^8.86)/g1^13 + g1^18*t^8.96 - t^4.34/(g1^4*y) - t^6.67/(g1^2*y) - t^7.03/(g1^12*y) + (g1^14*t^7.3)/y - t^7.39/(g1^22*y) + (g1^4*t^7.66)/y + t^7.84/(g1*y) + (2*t^8.01)/(g1^6*y) + t^8.19/(g1^11*y) + t^8.37/(g1^16*y) + (g1^15*t^8.46)/y + t^8.55/(g1^21*y) + (g1^10*t^8.64)/y + t^8.73/(g1^26*y) + (2*g1^5*t^8.82)/y - (t^4.34*y)/g1^4 - (t^6.67*y)/g1^2 - (t^7.03*y)/g1^12 + g1^14*t^7.3*y - (t^7.39*y)/g1^22 + g1^4*t^7.66*y + (t^7.84*y)/g1 + (2*t^8.01*y)/g1^6 + (t^8.19*y)/g1^11 + (t^8.37*y)/g1^16 + g1^15*t^8.46*y + (t^8.55*y)/g1^21 + g1^10*t^8.64*y + (t^8.73*y)/g1^26 + 2*g1^5*t^8.82*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 |
---|---|---|---|---|---|---|---|---|
46934 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_1M_5$ | 0.6754 | 0.8386 | 0.8054 | [X:[], M:[1.1657, 1.006, 0.8343, 0.7771, 0.8343], q:[0.3886, 0.4458], qb:[0.6055, 0.7771], phi:[0.4458]] | t^2.33 + 2*t^2.5 + t^2.67 + t^3.02 + t^3.15 + t^3.67 + t^3.84 + t^4.01 + t^4.15 + t^4.32 + t^4.49 + t^4.66 + 2*t^4.83 + t^4.97 + 4*t^5.01 + 2*t^5.18 + t^5.35 + t^5.49 + t^5.52 + 2*t^5.66 + t^5.69 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
48199 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_2\phi_1^2$ | 0.6583 | 0.8122 | 0.8106 | [X:[], M:[1.1538, 1.0769, 0.8462, 0.7692], q:[0.3846, 0.4615], qb:[0.5385, 0.7692], phi:[0.4615]] | t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + 2*t^3.92 + 2*t^4.15 + t^4.38 + 2*t^4.62 + t^4.85 + 2*t^5.08 + 2*t^5.31 + 2*t^5.54 + t^5.77 + t^6. - t^4.38/y - t^4.38*y | detail | {a: 11571/17576, c: 14275/17576, M1: 15/13, M2: 14/13, M3: 11/13, M4: 10/13, q1: 5/13, q2: 6/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
46989 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_4M_5$ | 0.6434 | 0.7824 | 0.8224 | [X:[], M:[1.165, 1.0102, 0.835, 0.7766, 1.2234], q:[0.3883, 0.4467], qb:[0.6015, 0.7766], phi:[0.4467]] | t^2.51 + t^2.68 + t^3.03 + t^3.14 + t^3.49 + 2*t^3.67 + t^3.85 + t^4.02 + t^4.13 + t^4.31 + t^4.48 + t^4.95 + t^5.01 + t^5.19 + t^5.65 + t^5.71 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
48306 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1q_1^2$ | 0.6791 | 0.8461 | 0.8026 | [X:[], M:[1.1636, 1.0181, 0.8364, 0.7758, 0.7758], q:[0.3879, 0.4485], qb:[0.594, 0.7758], phi:[0.4485]] | 2*t^2.33 + t^2.51 + t^2.69 + t^3.05 + t^3.13 + t^3.49 + t^3.85 + t^4.04 + t^4.11 + t^4.29 + t^4.47 + 3*t^4.65 + 2*t^4.84 + t^4.91 + 3*t^5.02 + t^5.2 + 2*t^5.38 + 2*t^5.45 + t^5.64 + t^5.75 + 2*t^5.82 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
48646 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_5\phi_1^2$ | 0.6522 | 0.7997 | 0.8155 | [X:[], M:[1.1599, 1.0406, 0.8401, 0.7733, 1.0931], q:[0.3866, 0.4535], qb:[0.5727, 0.7733], phi:[0.4535]] | t^2.32 + t^2.52 + t^3.08 + t^3.12 + t^3.28 + t^3.48 + t^3.68 + t^3.88 + t^4.04 + t^4.08 + t^4.24 + t^4.44 + t^4.64 + t^4.8 + t^4.84 + t^5.04 + t^5.4 + 2*t^5.6 + t^5.8 - t^6. - t^4.36/y - t^4.36*y | detail | |
49023 | $M_1q_1q_2$ + $ 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}_2^2$ + $ M_4\phi_1q_1^2$ + $ \tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ | 0.4254 | 0.5109 | 0.8326 | [X:[1.5789, 1.3684], M:[1.2632, 0.4211, 0.7368, 0.8421], q:[0.4211, 0.3158], qb:[1.1579, 0.8421], phi:[0.3158]] | t^2.21 + t^2.53 + t^2.84 + t^3.16 + t^4.11 + t^4.42 + t^4.74 + 2*t^5.05 + 2*t^5.37 + t^5.68 - t^6. - t^3.95/y - t^3.95*y | detail | {a: 23343/54872, c: 7009/13718, X1: 30/19, X2: 26/19, M1: 24/19, M2: 8/19, M3: 14/19, M4: 16/19, q1: 8/19, q2: 6/19, qb1: 22/19, qb2: 16/19, phi1: 6/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
46292 | 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}_2^2$ | 0.6613 | 0.8142 | 0.8122 | [X:[], M:[1.1609, 1.0162, 0.8391, 0.7677], q:[0.3838, 0.4553], qb:[0.6, 0.777], phi:[0.446]] | t^2.3 + t^2.52 + t^2.68 + t^3.05 + t^3.17 + t^3.48 + t^3.64 + t^3.86 + t^4.07 + t^4.13 + t^4.29 + t^4.5 + t^4.61 + t^4.82 + t^4.94 + t^4.98 + t^5.03 + t^5.19 + t^5.35 + t^5.47 + t^5.68 + t^5.72 + t^5.84 + t^5.94 - 2*t^6. - t^4.34/y - t^4.34*y | detail |