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 |
---|---|---|---|---|---|---|---|---|---|
408 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6772 | 0.8843 | 0.7658 | [X:[], M:[1.1628, 0.6744, 0.6744, 0.6744], q:[0.75, 0.4128], qb:[0.4244, 0.4128], phi:[0.5]] | [X:[], M:[[1], [-2], [-2], [-2]], q:[[0], [1]], qb:[[-2], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_4$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_4$, $ M_3M_4$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_3$, $ M_1M_4$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ M_4q_1q_2$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ q_1q_2^2\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | -1 | 3*t^2.02 + t^2.48 + t^2.51 + t^3. + 3*t^3.49 + t^3.52 + 2*t^4.01 + 7*t^4.05 + 3*t^4.5 + 3*t^4.53 + t^4.95 + t^4.99 + 4*t^5.02 + t^5.48 + 10*t^5.51 + 3*t^5.55 + t^5.97 - t^6. + 5*t^6.03 + 13*t^6.07 + t^6.49 + 8*t^6.52 + 7*t^6.56 + 5*t^6.98 + 4*t^7.01 + 10*t^7.05 + t^7.43 - 3*t^7.47 + 2*t^7.5 + 23*t^7.53 + 7*t^7.57 - 3*t^8.02 + 11*t^8.06 + 22*t^8.09 + t^8.44 - 3*t^8.48 + 15*t^8.55 + 13*t^8.58 - t^8.97 - t^4.5/y - (3*t^6.52)/y + t^7.01/y + (3*t^7.05)/y + (3*t^7.5)/y + (3*t^7.53)/y + (3*t^8.02)/y + (4*t^8.48)/y + (10*t^8.51)/y - (3*t^8.55)/y + (3*t^8.97)/y - t^4.5*y - 3*t^6.52*y + t^7.01*y + 3*t^7.05*y + 3*t^7.5*y + 3*t^7.53*y + 3*t^8.02*y + 4*t^8.48*y + 10*t^8.51*y - 3*t^8.55*y + 3*t^8.97*y | (3*t^2.02)/g1^2 + g1^2*t^2.48 + t^2.51/g1 + t^3. + 3*g1*t^3.49 + t^3.52/g1^2 + (2*t^4.01)/g1 + (7*t^4.05)/g1^4 + 3*t^4.5 + (3*t^4.53)/g1^3 + g1^4*t^4.95 + g1*t^4.99 + (4*t^5.02)/g1^2 + g1^2*t^5.48 + (10*t^5.51)/g1 + (3*t^5.55)/g1^4 + g1^3*t^5.97 - t^6. + (5*t^6.03)/g1^3 + (13*t^6.07)/g1^6 + g1*t^6.49 + (8*t^6.52)/g1^2 + (7*t^6.56)/g1^5 + 5*g1^2*t^6.98 + (4*t^7.01)/g1 + (10*t^7.05)/g1^4 + g1^6*t^7.43 - 3*g1^3*t^7.47 + 2*t^7.5 + (23*t^7.53)/g1^3 + (7*t^7.57)/g1^6 - (3*t^8.02)/g1^2 + (11*t^8.06)/g1^5 + (22*t^8.09)/g1^8 + g1^5*t^8.44 - 3*g1^2*t^8.48 + (15*t^8.55)/g1^4 + (13*t^8.58)/g1^7 - g1^3*t^8.97 - t^4.5/y - (3*t^6.52)/(g1^2*y) + t^7.01/(g1*y) + (3*t^7.05)/(g1^4*y) + (3*t^7.5)/y + (3*t^7.53)/(g1^3*y) + (3*t^8.02)/(g1^2*y) + (4*g1^2*t^8.48)/y + (10*t^8.51)/(g1*y) - (3*t^8.55)/(g1^4*y) + (3*g1^3*t^8.97)/y - t^4.5*y - (3*t^6.52*y)/g1^2 + (t^7.01*y)/g1 + (3*t^7.05*y)/g1^4 + 3*t^7.5*y + (3*t^7.53*y)/g1^3 + (3*t^8.02*y)/g1^2 + 4*g1^2*t^8.48*y + (10*t^8.51*y)/g1 - (3*t^8.55*y)/g1^4 + 3*g1^3*t^8.97*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 |
---|---|---|---|---|---|---|---|---|
1843 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_1$ | 0.6926 | 0.9092 | 0.7617 | [X:[], M:[1.1557, 0.6887, 0.6887, 0.6887, 0.8113], q:[0.75, 0.4057], qb:[0.4387, 0.4057], phi:[0.5]] | 3*t^2.07 + 2*t^2.43 + t^2.53 + t^3. + 3*t^3.47 + 2*t^4.03 + 7*t^4.13 + 6*t^4.5 + 3*t^4.6 + 3*t^4.87 + 2*t^4.97 + 4*t^5.07 + 2*t^5.43 + 10*t^5.53 + 4*t^5.9 - 2*t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
257 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2^2$ | 0.6564 | 0.8431 | 0.7786 | [X:[], M:[1.1623, 0.6755, 0.6755], q:[0.75, 0.4123], qb:[0.4255, 0.4123], phi:[0.5]] | 2*t^2.03 + t^2.47 + t^2.51 + t^3. + 3*t^3.49 + t^3.53 + t^3.97 + 2*t^4.01 + 4*t^4.05 + 2*t^4.5 + 2*t^4.54 + t^4.95 + t^4.99 + 3*t^5.03 + t^5.47 + 7*t^5.51 + 2*t^5.55 + t^5.96 + t^6. - t^4.5/y - t^4.5*y | detail |