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 |
---|---|---|---|---|---|---|---|---|---|
506 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ | 0.7145 | 0.8771 | 0.8147 | [X:[], M:[0.9328, 0.9328, 1.0672, 0.7984], q:[0.6008, 0.4664], qb:[0.4664, 0.6008], phi:[0.4664]] | [X:[], M:[[-2], [-2], [2], [-6]], q:[[3], [-1]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_1$, $ M_2$, $ \phi_1^2$, $ M_3$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_2M_4$, $ M_4\phi_1^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_3M_4$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_4q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$ | $M_2M_3$, $ M_3\phi_1^2$, $ M_2q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$ | 1 | t^2.4 + 3*t^2.8 + 3*t^3.2 + 3*t^4.2 + 4*t^4.6 + t^4.79 + 3*t^5. + 3*t^5.19 + 5*t^5.6 + t^6. + t^6.4 + 3*t^6.59 + 9*t^7. + t^7.19 + 10*t^7.4 + 3*t^7.59 + 6*t^7.8 + 5*t^7.99 + 2*t^8.21 + 7*t^8.4 - 2*t^8.8 + 3*t^8.99 - t^4.4/y - t^6.79/y - (2*t^7.2)/y + (2*t^7.6)/y + t^8./y + (3*t^8.19)/y + (6*t^8.6)/y - t^4.4*y - t^6.79*y - 2*t^7.2*y + 2*t^7.6*y + t^8.*y + 3*t^8.19*y + 6*t^8.6*y | t^2.4/g1^6 + (3*t^2.8)/g1^2 + 3*g1^2*t^3.2 + (3*t^4.2)/g1^3 + 4*g1*t^4.6 + t^4.79/g1^12 + 3*g1^5*t^5. + (3*t^5.19)/g1^8 + (5*t^5.6)/g1^4 + t^6. + g1^4*t^6.4 + (3*t^6.59)/g1^9 + (9*t^7.)/g1^5 + t^7.19/g1^18 + (10*t^7.4)/g1 + (3*t^7.59)/g1^14 + 6*g1^3*t^7.8 + (5*t^7.99)/g1^10 + 2*g1^7*t^8.21 + (7*t^8.4)/g1^6 - (2*t^8.8)/g1^2 + (3*t^8.99)/g1^15 - t^4.4/(g1*y) - t^6.79/(g1^7*y) - (2*t^7.2)/(g1^3*y) + (2*g1*t^7.6)/y + (g1^5*t^8.)/y + (3*t^8.19)/(g1^8*y) + (6*t^8.6)/(g1^4*y) - (t^4.4*y)/g1 - (t^6.79*y)/g1^7 - (2*t^7.2*y)/g1^3 + 2*g1*t^7.6*y + g1^5*t^8.*y + (3*t^8.19*y)/g1^8 + (6*t^8.6*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 |
---|---|---|---|---|---|---|---|---|
793 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ | 0.7211 | 0.8891 | 0.811 | [X:[], M:[0.9247, 0.9247, 1.0753, 0.774, 0.9247], q:[0.613, 0.4623], qb:[0.4623, 0.613], phi:[0.4623]] | t^2.32 + 4*t^2.77 + 2*t^3.23 + 3*t^4.16 + 4*t^4.61 + t^4.64 + 3*t^5.07 + 4*t^5.1 + 8*t^5.55 - t^4.39/y - t^4.39*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 |
---|---|---|---|---|---|---|---|---|---|
326 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ | 0.7722 | 0.9495 | 0.8132 | [X:[], M:[0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]] | 5*t^2.32 + 2*t^3.68 + 15*t^4.65 + 10*t^4.84 - 6*t^6. - t^4.16/y - t^4.16*y | detail |