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 |
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1970 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_3^2$ + $ M_6q_1q_2$ | 0.7038 | 0.8701 | 0.8089 | [X:[], M:[0.9223, 1.165, 1.0, 1.0, 0.6699, 0.6699], q:[0.7913, 0.5388], qb:[0.5388, 0.4612], phi:[0.4175]] | [X:[], M:[[14], [-4], [0], [0], [8], [8]], q:[[-1], [-7]], qb:[[-7], [7]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_5$, $ M_6$, $ M_1$, $ M_3$, $ M_4$, $ M_2$, $ q_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1M_5$, $ M_1M_6$, $ M_3M_5$, $ M_4M_5$, $ M_3M_6$, $ M_4M_6$, $ M_2M_5$, $ M_2M_6$, $ M_1^2$, $ M_1M_3$, $ M_1M_4$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$ | $M_3M_4$ | -2 | 2*t^2.01 + t^2.77 + 2*t^3. + t^3.5 + t^3.76 + 4*t^4.02 + 2*t^4.25 + 3*t^4.49 + 2*t^4.78 + 4*t^5.01 + 2*t^5.5 + t^5.53 + 2*t^5.77 - 2*t^6. + 6*t^6.03 - 2*t^6.23 + 4*t^6.26 + 6*t^6.5 + t^6.52 + 4*t^6.79 - t^6.99 + 8*t^7.02 + 3*t^7.25 + 2*t^7.49 + 4*t^7.51 + 2*t^7.54 + 4*t^7.78 - 4*t^8.01 + 9*t^8.04 - 5*t^8.24 + 8*t^8.27 + t^8.3 - 2*t^8.48 + 11*t^8.5 + 2*t^8.53 + 2*t^8.74 - 3*t^8.77 + 6*t^8.8 + 5*t^8.97 - t^4.25/y - (2*t^6.26)/y + t^7.49/y + (2*t^7.78)/y + (4*t^8.01)/y + (2*t^8.24)/y - (3*t^8.27)/y + (2*t^8.5)/y + (4*t^8.77)/y - t^4.25*y - 2*t^6.26*y + t^7.49*y + 2*t^7.78*y + 4*t^8.01*y + 2*t^8.24*y - 3*t^8.27*y + 2*t^8.5*y + 4*t^8.77*y | 2*g1^8*t^2.01 + g1^14*t^2.77 + 2*t^3. + t^3.5/g1^4 + g1^6*t^3.76 + 4*g1^16*t^4.02 + 2*g1^2*t^4.25 + (3*t^4.49)/g1^12 + 2*g1^22*t^4.78 + 4*g1^8*t^5.01 + 2*g1^4*t^5.5 + g1^28*t^5.53 + 2*g1^14*t^5.77 - 2*t^6. + 6*g1^24*t^6.03 - (2*t^6.23)/g1^14 + 4*g1^10*t^6.26 + (6*t^6.5)/g1^4 + g1^20*t^6.52 + 4*g1^30*t^6.79 - t^6.99/g1^8 + 8*g1^16*t^7.02 + 3*g1^2*t^7.25 + (2*t^7.49)/g1^12 + 4*g1^12*t^7.51 + 2*g1^36*t^7.54 + 4*g1^22*t^7.78 - 4*g1^8*t^8.01 + 9*g1^32*t^8.04 - (5*t^8.24)/g1^6 + 8*g1^18*t^8.27 + g1^42*t^8.3 - (2*t^8.48)/g1^20 + 11*g1^4*t^8.5 + 2*g1^28*t^8.53 + (2*t^8.74)/g1^10 - 3*g1^14*t^8.77 + 6*g1^38*t^8.8 + (5*t^8.97)/g1^24 - (g1^2*t^4.25)/y - (2*g1^10*t^6.26)/y + t^7.49/(g1^12*y) + (2*g1^22*t^7.78)/y + (4*g1^8*t^8.01)/y + (2*t^8.24)/(g1^6*y) - (3*g1^18*t^8.27)/y + (2*g1^4*t^8.5)/y + (4*g1^14*t^8.77)/y - g1^2*t^4.25*y - 2*g1^10*t^6.26*y + (t^7.49*y)/g1^12 + 2*g1^22*t^7.78*y + 4*g1^8*t^8.01*y + (2*t^8.24*y)/g1^6 - 3*g1^18*t^8.27*y + 2*g1^4*t^8.5*y + 4*g1^14*t^8.77*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
654 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_3^2$ | 0.683 | 0.8286 | 0.8243 | [X:[], M:[0.923, 1.1649, 1.0, 1.0, 0.6703], q:[0.7912, 0.5385], qb:[0.5385, 0.4615], phi:[0.4176]] | t^2.01 + t^2.77 + 2*t^3. + t^3.49 + t^3.76 + t^3.99 + 2*t^4.02 + 2*t^4.25 + 3*t^4.48 + t^4.78 + 2*t^5.01 + t^5.51 + t^5.54 + t^5.77 - t^6. - t^4.25/y - t^4.25*y | detail |