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 |
---|---|---|---|---|---|---|---|---|---|
50996 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_1\phi_1^2$ + $ M_5\phi_1^2$ + $ M_4M_6$ | 0.7012 | 0.8624 | 0.8131 | [X:[], M:[1.0226, 0.8868, 0.9321, 1.0679, 1.0226, 0.9321], q:[0.534, 0.4434], qb:[0.5793, 0.4887], phi:[0.4887]] | [X:[], M:[[-2], [10], [6], [-6], [-2], [6]], q:[[-3], [5]], qb:[[-7], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_6$, $ M_1$, $ M_5$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_3$, $ M_2M_6$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_1M_2$, $ M_2M_5$, $ M_2q_2\tilde{q}_1$, $ M_1M_3$, $ M_3M_5$, $ M_1M_6$, $ M_5M_6$, $ M_6q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$ | . | -4 | t^2.66 + 2*t^2.8 + 4*t^3.07 + t^4.13 + t^4.26 + 2*t^4.4 + 2*t^4.53 + 2*t^4.67 + t^4.81 + t^4.94 + t^5.32 + 2*t^5.46 + 2*t^5.59 + 2*t^5.73 + 5*t^5.86 - 4*t^6. + 6*t^6.14 - 2*t^6.27 - t^6.41 + t^6.79 + 3*t^6.92 + 3*t^7.06 + 6*t^7.19 + 4*t^7.33 + 5*t^7.47 + 3*t^7.6 + 3*t^7.74 + t^7.98 + 2*t^8.01 + 2*t^8.12 + 3*t^8.25 + 5*t^8.39 + 4*t^8.52 + 3*t^8.66 - 3*t^8.8 + 6*t^8.93 - t^4.47/y - t^7.13/y - t^7.26/y + t^7.4/y - t^7.53/y + t^7.67/y + t^7.81/y + (2*t^8.46)/y + t^8.59/y + (4*t^8.73)/y + (8*t^8.86)/y - t^4.47*y - t^7.13*y - t^7.26*y + t^7.4*y - t^7.53*y + t^7.67*y + t^7.81*y + 2*t^8.46*y + t^8.59*y + 4*t^8.73*y + 8*t^8.86*y | g1^10*t^2.66 + 2*g1^6*t^2.8 + (4*t^3.07)/g1^2 + g1^11*t^4.13 + g1^7*t^4.26 + 2*g1^3*t^4.4 + (2*t^4.53)/g1 + (2*t^4.67)/g1^5 + t^4.81/g1^9 + t^4.94/g1^13 + g1^20*t^5.32 + 2*g1^16*t^5.46 + 2*g1^12*t^5.59 + 2*g1^8*t^5.73 + 5*g1^4*t^5.86 - 4*t^6. + (6*t^6.14)/g1^4 - (2*t^6.27)/g1^8 - t^6.41/g1^12 + g1^21*t^6.79 + 3*g1^17*t^6.92 + 3*g1^13*t^7.06 + 6*g1^9*t^7.19 + 4*g1^5*t^7.33 + 5*g1*t^7.47 + (3*t^7.6)/g1^3 + (3*t^7.74)/g1^7 + g1^30*t^7.98 + (2*t^8.01)/g1^15 + 2*g1^26*t^8.12 + 3*g1^22*t^8.25 + 5*g1^18*t^8.39 + 4*g1^14*t^8.52 + 3*g1^10*t^8.66 - 3*g1^6*t^8.8 + 6*g1^2*t^8.93 - (g1*t^4.47)/y - (g1^11*t^7.13)/y - (g1^7*t^7.26)/y + (g1^3*t^7.4)/y - t^7.53/(g1*y) + t^7.67/(g1^5*y) + t^7.81/(g1^9*y) + (2*g1^16*t^8.46)/y + (g1^12*t^8.59)/y + (4*g1^8*t^8.73)/y + (8*g1^4*t^8.86)/y - g1*t^4.47*y - g1^11*t^7.13*y - g1^7*t^7.26*y + g1^3*t^7.4*y - (t^7.53*y)/g1 + (t^7.67*y)/g1^5 + (t^7.81*y)/g1^9 + 2*g1^16*t^8.46*y + g1^12*t^8.59*y + 4*g1^8*t^8.73*y + 8*g1^4*t^8.86*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 |
---|---|---|---|---|---|---|---|---|
56225 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_1\phi_1^2$ + $ M_5\phi_1^2$ + $ M_4M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_2X_1$ | 0.619 | 0.768 | 0.8059 | [X:[1.3846], M:[1.0769, 0.6154, 0.7692, 1.2308, 1.0769, 0.7692], q:[0.6154, 0.3077], qb:[0.7692, 0.4615], phi:[0.4615]] | 2*t^2.31 + 5*t^3.23 + t^3.69 + 3*t^4.15 + 4*t^4.62 + 8*t^5.54 - 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 21759/35152, c: 13499/17576, X1: 18/13, M1: 14/13, M2: 8/13, M3: 10/13, M4: 16/13, M5: 14/13, M6: 10/13, q1: 8/13, q2: 4/13, qb1: 10/13, qb2: 6/13, phi1: 6/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
47250 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_1\phi_1^2$ + $ M_5\phi_1^2$ | 0.6959 | 0.8526 | 0.8162 | [X:[], M:[1.0156, 0.9222, 0.9533, 1.0467, 1.0156], q:[0.5233, 0.4611], qb:[0.5545, 0.4922], phi:[0.4922]] | t^2.77 + t^2.86 + 4*t^3.05 + t^3.14 + t^4.24 + t^4.34 + 2*t^4.43 + 2*t^4.52 + 2*t^4.62 + t^4.71 + t^4.8 + t^5.53 + t^5.63 + 2*t^5.81 + 2*t^5.91 - 3*t^6. - t^4.48/y - t^4.48*y | detail |