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 |
---|---|---|---|---|---|---|---|---|---|
824 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7577 | 0.9523 | 0.7957 | [X:[], M:[0.8866, 1.0, 0.7731, 1.0, 0.7731, 0.6702], q:[0.5567, 0.5567], qb:[0.4433, 0.6702], phi:[0.4433]] | [X:[], M:[[0, -2], [1, -1], [-1, -3], [-1, 1], [1, -5], [0, 3]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 3]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_5$, $ M_3$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_3M_5$, $ M_3^2$, $ \phi_1q_2^2$, $ M_1M_6$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1M_5$, $ M_5\phi_1^2$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_2M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_5$, $ M_1^2$, $ M_2M_3$, $ M_4M_5$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_3M_4$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_2\phi_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$ | $M_2^2$, $ M_4^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | -1 | t^2.01 + 2*t^2.32 + 2*t^2.66 + 2*t^3. + t^3.34 + t^4.02 + 4*t^4.33 + 3*t^4.64 + 6*t^4.67 + 4*t^4.98 + 4*t^5.01 + 6*t^5.32 + 2*t^5.35 + 2*t^5.66 - t^6. + t^6.03 + 2*t^6.34 + 6*t^6.65 + 5*t^6.68 + 4*t^6.96 + 12*t^6.99 + 4*t^7.02 + 6*t^7.3 + 15*t^7.33 + 2*t^7.36 + 10*t^7.64 + 8*t^7.67 + 6*t^7.98 - t^8.01 + t^8.04 - 4*t^8.32 - 5*t^8.66 + 4*t^8.69 + 8*t^8.97 - t^4.33/y - t^6.34/y - (2*t^6.65)/y - (2*t^6.99)/y + (2*t^7.33)/y + t^7.64/y + (4*t^7.67)/y + (4*t^7.98)/y + (4*t^8.01)/y + (6*t^8.32)/y + (4*t^8.66)/y - (3*t^8.97)/y - t^4.33*y - t^6.34*y - 2*t^6.65*y - 2*t^6.99*y + 2*t^7.33*y + t^7.64*y + 4*t^7.67*y + 4*t^7.98*y + 4*t^8.01*y + 6*t^8.32*y + 4*t^8.66*y - 3*t^8.97*y | g2^3*t^2.01 + (g1*t^2.32)/g2^5 + t^2.32/(g1*g2^3) + (2*t^2.66)/g2^2 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + g2^2*t^3.34 + g2^6*t^4.02 + (2*t^4.33)/g1 + (2*g1*t^4.33)/g2^2 + (g1^2*t^4.64)/g2^10 + t^4.64/g2^8 + t^4.64/(g1^2*g2^6) + (g1^2*t^4.67)/g2 + 4*g2*t^4.67 + (g2^3*t^4.67)/g1^2 + (2*g1*t^4.98)/g2^7 + (2*t^4.98)/(g1*g2^5) + 2*g1*g2^2*t^5.01 + (2*g2^4*t^5.01)/g1 + (g1^2*t^5.32)/g2^6 + (4*t^5.32)/g2^4 + t^5.32/(g1^2*g2^2) + 2*g2^5*t^5.35 + (g1*t^5.66)/g2^3 + t^5.66/(g1*g2) - t^6. + g2^9*t^6.03 + g1*g2*t^6.34 + (g2^3*t^6.34)/g1 + (2*g1^2*t^6.65)/g2^7 + (2*t^6.65)/g2^5 + (2*t^6.65)/(g1^2*g2^3) + g1^2*g2^2*t^6.68 + 3*g2^4*t^6.68 + (g2^6*t^6.68)/g1^2 + (g1^3*t^6.96)/g2^15 + (g1*t^6.96)/g2^13 + t^6.96/(g1*g2^11) + t^6.96/(g1^3*g2^9) + t^6.99/g1^3 + (g1^3*t^6.99)/g2^6 + (5*g1*t^6.99)/g2^4 + (5*t^6.99)/(g1*g2^2) + 2*g1*g2^5*t^7.02 + (2*g2^7*t^7.02)/g1 + (2*g1^2*t^7.3)/g2^12 + (2*t^7.3)/g2^10 + (2*t^7.3)/(g1^2*g2^8) + (4*g1^2*t^7.33)/g2^3 + (7*t^7.33)/g2 + (4*g2*t^7.33)/g1^2 + 2*g2^8*t^7.36 + (g1^3*t^7.64)/g2^11 + (4*g1*t^7.64)/g2^9 + (4*t^7.64)/(g1*g2^7) + t^7.64/(g1^3*g2^5) + 3*g1*t^7.67 + (g1^3*t^7.67)/g2^2 + (3*g2^2*t^7.67)/g1 + (g2^4*t^7.67)/g1^3 + (g1^2*t^7.98)/g2^8 + (4*t^7.98)/g2^6 + t^7.98/(g1^2*g2^4) - g2^3*t^8.01 + g2^12*t^8.04 - (2*g1*t^8.32)/g2^5 - (2*t^8.32)/(g1*g2^3) - (5*t^8.66)/g2^2 + g1^2*g2^5*t^8.69 + 2*g2^7*t^8.69 + (g2^9*t^8.69)/g1^2 + (2*g1^3*t^8.97)/g2^12 + (2*g1*t^8.97)/g2^10 + (2*t^8.97)/(g1*g2^8) + (2*t^8.97)/(g1^3*g2^6) - t^4.33/(g2*y) - (g2^2*t^6.34)/y - (g1*t^6.65)/(g2^6*y) - t^6.65/(g1*g2^4*y) - (2*t^6.99)/(g2^3*y) + t^7.33/(g1*y) + (g1*t^7.33)/(g2^2*y) + t^7.64/(g2^8*y) + (4*g2*t^7.67)/y + (2*g1*t^7.98)/(g2^7*y) + (2*t^7.98)/(g1*g2^5*y) + (2*g1*g2^2*t^8.01)/y + (2*g2^4*t^8.01)/(g1*y) + (g1^2*t^8.32)/(g2^6*y) + (4*t^8.32)/(g2^4*y) + t^8.32/(g1^2*g2^2*y) + (2*g1*t^8.66)/(g2^3*y) + (2*t^8.66)/(g1*g2*y) - (g1^2*t^8.97)/(g2^11*y) - t^8.97/(g2^9*y) - t^8.97/(g1^2*g2^7*y) - (t^4.33*y)/g2 - g2^2*t^6.34*y - (g1*t^6.65*y)/g2^6 - (t^6.65*y)/(g1*g2^4) - (2*t^6.99*y)/g2^3 + (t^7.33*y)/g1 + (g1*t^7.33*y)/g2^2 + (t^7.64*y)/g2^8 + 4*g2*t^7.67*y + (2*g1*t^7.98*y)/g2^7 + (2*t^7.98*y)/(g1*g2^5) + 2*g1*g2^2*t^8.01*y + (2*g2^4*t^8.01*y)/g1 + (g1^2*t^8.32*y)/g2^6 + (4*t^8.32*y)/g2^4 + (t^8.32*y)/(g1^2*g2^2) + (2*g1*t^8.66*y)/g2^3 + (2*t^8.66*y)/(g1*g2) - (g1^2*t^8.97*y)/g2^11 - (t^8.97*y)/g2^9 - (t^8.97*y)/(g1^2*g2^7) |
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 |
---|---|---|---|---|---|---|---|---|
1301 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_6$ + $ M_3X_1$ | 0.652 | 0.8153 | 0.7997 | [X:[1.6126], M:[0.7747, 1.1621, 0.3874, 0.8379, 0.7116, 0.8379], q:[0.4505, 0.7747], qb:[0.3874, 0.8379], phi:[0.3874]] | t^2.13 + 2*t^2.32 + 2*t^2.51 + t^3.49 + 2*t^3.68 + t^3.87 + t^4.27 + 2*t^4.46 + 5*t^4.65 + 5*t^4.84 + 3*t^5.03 + t^5.62 + 2*t^5.81 + 2*t^6. - t^4.16/y - t^4.16*y | detail | |
1299 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1^2$ + $ M_5X_1$ | 0.6539 | 0.8186 | 0.7988 | [X:[1.5176], M:[0.8471, 0.7882, 0.9059, 1.2118, 0.4824, 0.7294], q:[0.7882, 0.3647], qb:[0.4235, 0.7294], phi:[0.4235]] | t^2.19 + t^2.36 + 2*t^2.54 + t^2.72 + 2*t^3.46 + 2*t^3.64 + t^4.38 + 3*t^4.55 + 4*t^4.73 + 2*t^4.91 + 3*t^5.08 + 2*t^5.26 + t^5.44 + 3*t^5.65 + 3*t^5.82 + 2*t^6. - t^4.27/y - t^4.27*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 |
---|---|---|---|---|---|---|---|---|---|
528 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ | 0.7369 | 0.9109 | 0.809 | [X:[], M:[0.8862, 1.0, 0.7723, 1.0, 0.7723], q:[0.5569, 0.5569], qb:[0.4431, 0.6707], phi:[0.4431]] | 2*t^2.32 + 2*t^2.66 + 2*t^3. + t^3.34 + t^3.99 + 2*t^4.33 + 3*t^4.63 + 4*t^4.67 + 4*t^4.98 + 2*t^5.01 + 6*t^5.32 + t^5.35 + 2*t^5.66 - t^6. - t^4.33/y - t^4.33*y | detail |