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 |
---|---|---|---|---|---|---|---|---|---|
1494 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_3^2$ + $ M_6\phi_1^2$ | 0.6943 | 0.8491 | 0.8176 | [X:[], M:[0.9557, 1.0148, 1.0, 0.9705, 1.0295, 1.0148], q:[0.5369, 0.5074], qb:[0.4631, 0.5222], phi:[0.4926]] | [X:[], M:[[-6], [2], [0], [-4], [4], [2]], q:[[5], [1]], qb:[[-5], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_4$, $ M_3$, $ M_2$, $ M_6$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_1M_6$, $ M_2M_4$, $ M_1M_5$, $ M_4M_6$ | . | -2 | t^2.87 + t^2.91 + t^3. + 2*t^3.04 + t^3.09 + t^3.18 + t^4.26 + t^4.39 + t^4.43 + t^4.48 + t^4.52 + t^4.57 + 2*t^4.61 + t^4.66 + t^4.7 + t^5.73 + 2*t^5.91 + t^5.96 - 2*t^6. + t^6.04 + 3*t^6.09 + t^6.13 + t^6.18 + t^6.22 + t^6.27 + t^6.35 + t^7.12 + t^7.17 + t^7.26 + 2*t^7.3 + t^7.34 + t^7.39 + 2*t^7.43 + 2*t^7.48 + 2*t^7.52 + 2*t^7.57 + 3*t^7.61 + 3*t^7.66 + 3*t^7.7 + 2*t^7.74 + 2*t^7.79 + t^7.83 + t^7.88 + t^8.51 + t^8.6 + t^8.65 + t^8.73 + 2*t^8.78 - t^8.87 - t^8.91 + 2*t^8.96 - t^4.48/y - t^7.34/y + t^7.43/y - t^7.52/y + t^7.61/y + t^8.78/y + t^8.87/y + (3*t^8.91)/y + (3*t^8.96)/y - t^4.48*y - t^7.34*y + t^7.43*y - t^7.52*y + t^7.61*y + t^8.78*y + t^8.87*y + 3*t^8.91*y + 3*t^8.96*y | t^2.87/g1^6 + t^2.91/g1^4 + t^3. + 2*g1^2*t^3.04 + g1^4*t^3.09 + g1^8*t^3.18 + t^4.26/g1^11 + t^4.39/g1^5 + t^4.43/g1^3 + t^4.48/g1 + g1*t^4.52 + g1^3*t^4.57 + 2*g1^5*t^4.61 + g1^7*t^4.66 + g1^9*t^4.7 + t^5.73/g1^12 + (2*t^5.91)/g1^4 + t^5.96/g1^2 - 2*t^6. + g1^2*t^6.04 + 3*g1^4*t^6.09 + g1^6*t^6.13 + g1^8*t^6.18 + g1^10*t^6.22 + g1^12*t^6.27 + g1^16*t^6.35 + t^7.12/g1^17 + t^7.17/g1^15 + t^7.26/g1^11 + (2*t^7.3)/g1^9 + t^7.34/g1^7 + t^7.39/g1^5 + (2*t^7.43)/g1^3 + (2*t^7.48)/g1 + 2*g1*t^7.52 + 2*g1^3*t^7.57 + 3*g1^5*t^7.61 + 3*g1^7*t^7.66 + 3*g1^9*t^7.7 + 2*g1^11*t^7.74 + 2*g1^13*t^7.79 + g1^15*t^7.83 + g1^17*t^7.88 + t^8.51/g1^22 + t^8.6/g1^18 + t^8.65/g1^16 + t^8.73/g1^12 + (2*t^8.78)/g1^10 - t^8.87/g1^6 - t^8.91/g1^4 + (2*t^8.96)/g1^2 - t^4.48/(g1*y) - t^7.34/(g1^7*y) + t^7.43/(g1^3*y) - (g1*t^7.52)/y + (g1^5*t^7.61)/y + t^8.78/(g1^10*y) + t^8.87/(g1^6*y) + (3*t^8.91)/(g1^4*y) + (3*t^8.96)/(g1^2*y) - (t^4.48*y)/g1 - (t^7.34*y)/g1^7 + (t^7.43*y)/g1^3 - g1*t^7.52*y + g1^5*t^7.61*y + (t^8.78*y)/g1^10 + (t^8.87*y)/g1^6 + (3*t^8.91*y)/g1^4 + (3*t^8.96*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
2597 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_3^2$ + $ M_6\phi_1^2$ + $ M_5M_7$ | 0.6977 | 0.8546 | 0.8164 | [X:[], M:[0.9348, 1.0217, 1.0, 0.9565, 1.0435, 1.0217, 0.9565], q:[0.5543, 0.5109], qb:[0.4457, 0.5326], phi:[0.4891]] | t^2.8 + 2*t^2.87 + t^3. + 2*t^3.07 + t^3.26 + t^4.14 + t^4.34 + t^4.4 + t^4.47 + t^4.53 + t^4.6 + 2*t^4.66 + t^4.73 + t^4.79 + t^5.61 + t^5.67 + 2*t^5.74 + 3*t^5.87 + 2*t^5.93 - 3*t^6. - t^4.47/y - t^4.47*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 |
---|---|---|---|---|---|---|---|---|---|
960 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_2\phi_1^2$ + $ M_3^2$ | 0.6958 | 0.8515 | 0.8172 | [X:[], M:[0.9451, 1.0183, 1.0, 0.9634, 1.0366], q:[0.5458, 0.5092], qb:[0.4542, 0.5275], phi:[0.4908]] | t^2.84 + t^2.89 + t^2.95 + t^3. + t^3.05 + t^3.11 + t^3.22 + t^4.2 + t^4.36 + t^4.42 + t^4.47 + t^4.53 + t^4.58 + 2*t^4.64 + t^4.69 + t^4.75 + t^5.67 + t^5.78 + t^5.84 + 2*t^5.89 + t^5.95 - t^6. - t^4.47/y - t^4.47*y | detail |