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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3017 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.6793 | 0.8839 | 0.7685 | [X:[], M:[1.2268, 1.1134, 0.7732, 0.8866, 0.7732, 0.7732, 0.6804], q:[0.75, 0.4098], qb:[0.3634, 0.4768], phi:[0.5]] | [X:[], M:[[2], [1], [-2], [-1], [-2], [-2], [6]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_7$, $ M_3$, $ M_5$, $ M_6$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_7$, $ M_5M_7$, $ M_6M_7$, $ \phi_1\tilde{q}_2^2$, $ M_7\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_3M_6$, $ M_5M_6$, $ M_6^2$, $ M_4M_7$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_5$, $ M_4M_6$, $ M_7\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_7q_1\tilde{q}_1$, $ M_7q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ M_3q_1q_2$, $ M_5q_1q_2$, $ M_6q_1q_2$, $ M_7\phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $M_4q_1\tilde{q}_1$ | -1 | t^2.04 + 3*t^2.32 + t^2.52 + t^2.66 + t^3. + t^3.34 + t^3.48 + t^3.82 + t^4.02 + t^4.08 + t^4.16 + 4*t^4.36 + t^4.56 + 6*t^4.64 + t^4.7 + 3*t^4.84 + 3*t^4.98 + 2*t^5.04 + t^5.18 + 4*t^5.32 + t^5.38 + 2*t^5.52 + 3*t^5.66 + 2*t^5.8 + t^5.86 - t^6. + t^6.06 + t^6.12 + 3*t^6.14 + 2*t^6.34 + 4*t^6.4 + 3*t^6.48 + t^6.54 + t^6.6 + 9*t^6.68 + t^6.74 + t^6.82 + 4*t^6.88 + 10*t^6.96 + 3*t^7.02 + 2*t^7.08 + 4*t^7.16 + t^7.22 + 5*t^7.3 + 6*t^7.36 + t^7.42 + t^7.5 + 3*t^7.56 + 8*t^7.64 + 3*t^7.7 + 4*t^7.84 + t^7.9 + 6*t^7.98 + t^8.1 + 3*t^8.12 + t^8.17 + 3*t^8.18 - 4*t^8.32 + 3*t^8.38 + 4*t^8.44 + 5*t^8.46 - t^8.52 + t^8.58 + t^8.64 + 9*t^8.72 + t^8.78 + 5*t^8.8 + t^8.86 + 4*t^8.92 - t^4.5/y - t^6.54/y - (2*t^6.82)/y + (3*t^7.36)/y + t^7.56/y + (3*t^7.64)/y + t^7.7/y + (3*t^7.84)/y + (3*t^7.98)/y + t^8.04/y + (3*t^8.18)/y + (3*t^8.32)/y + t^8.38/y + t^8.46/y + (2*t^8.52)/y - t^8.58/y + (4*t^8.66)/y + (3*t^8.8)/y - t^4.5*y - t^6.54*y - 2*t^6.82*y + 3*t^7.36*y + t^7.56*y + 3*t^7.64*y + t^7.7*y + 3*t^7.84*y + 3*t^7.98*y + t^8.04*y + 3*t^8.18*y + 3*t^8.32*y + t^8.38*y + t^8.46*y + 2*t^8.52*y - t^8.58*y + 4*t^8.66*y + 3*t^8.8*y | g1^6*t^2.04 + (3*t^2.32)/g1^2 + g1^3*t^2.52 + t^2.66/g1 + t^3. + g1*t^3.34 + t^3.48/g1^3 + t^3.82/g1^2 + g1^3*t^4.02 + g1^12*t^4.08 + t^4.16/g1 + 4*g1^4*t^4.36 + g1^9*t^4.56 + (6*t^4.64)/g1^4 + g1^5*t^4.7 + 3*g1*t^4.84 + (3*t^4.98)/g1^3 + 2*g1^6*t^5.04 + g1^2*t^5.18 + (4*t^5.32)/g1^2 + g1^7*t^5.38 + 2*g1^3*t^5.52 + (3*t^5.66)/g1 + (2*t^5.8)/g1^5 + g1^4*t^5.86 - t^6. + g1^9*t^6.06 + g1^18*t^6.12 + (3*t^6.14)/g1^4 + 2*g1*t^6.34 + 4*g1^10*t^6.4 + (3*t^6.48)/g1^3 + g1^6*t^6.54 + g1^15*t^6.6 + 9*g1^2*t^6.68 + g1^11*t^6.74 + t^6.82/g1^2 + 4*g1^7*t^6.88 + (10*t^6.96)/g1^6 + 3*g1^3*t^7.02 + 2*g1^12*t^7.08 + (4*t^7.16)/g1 + g1^8*t^7.22 + (5*t^7.3)/g1^5 + 6*g1^4*t^7.36 + g1^13*t^7.42 + t^7.5 + 3*g1^9*t^7.56 + (8*t^7.64)/g1^4 + 3*g1^5*t^7.7 + 4*g1*t^7.84 + g1^10*t^7.9 + (6*t^7.98)/g1^3 + g1^15*t^8.1 + (3*t^8.12)/g1^7 + g1^24*t^8.17 + 3*g1^2*t^8.18 - (4*t^8.32)/g1^2 + 3*g1^7*t^8.38 + 4*g1^16*t^8.44 + (5*t^8.46)/g1^6 - g1^3*t^8.52 + g1^12*t^8.58 + g1^21*t^8.64 + 9*g1^8*t^8.72 + g1^17*t^8.78 + (5*t^8.8)/g1^5 + g1^4*t^8.86 + 4*g1^13*t^8.92 - t^4.5/y - (g1^6*t^6.54)/y - (2*t^6.82)/(g1^2*y) + (3*g1^4*t^7.36)/y + (g1^9*t^7.56)/y + (3*t^7.64)/(g1^4*y) + (g1^5*t^7.7)/y + (3*g1*t^7.84)/y + (3*t^7.98)/(g1^3*y) + (g1^6*t^8.04)/y + (3*g1^2*t^8.18)/y + (3*t^8.32)/(g1^2*y) + (g1^7*t^8.38)/y + t^8.46/(g1^6*y) + (2*g1^3*t^8.52)/y - (g1^12*t^8.58)/y + (4*t^8.66)/(g1*y) + (3*t^8.8)/(g1^5*y) - t^4.5*y - g1^6*t^6.54*y - (2*t^6.82*y)/g1^2 + 3*g1^4*t^7.36*y + g1^9*t^7.56*y + (3*t^7.64*y)/g1^4 + g1^5*t^7.7*y + 3*g1*t^7.84*y + (3*t^7.98*y)/g1^3 + g1^6*t^8.04*y + 3*g1^2*t^8.18*y + (3*t^8.32*y)/g1^2 + g1^7*t^8.38*y + (t^8.46*y)/g1^6 + 2*g1^3*t^8.52*y - g1^12*t^8.58*y + (4*t^8.66*y)/g1 + (3*t^8.8*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
4909 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ | 0.6589 | 0.8598 | 0.7664 | [X:[], M:[1.2857, 1.1429, 0.7143, 0.8571, 0.7143, 0.7143, 0.8571], q:[0.75, 0.3214], qb:[0.3929, 0.5357], phi:[0.5]] | 3*t^2.14 + 2*t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.43 + t^3.64 + t^4.07 + 7*t^4.29 + 7*t^4.71 + 3*t^4.93 + 6*t^5.14 + 4*t^5.36 + 5*t^5.57 + 5*t^5.79 - t^4.5/y - t^4.5*y | detail | {a: 57861/87808, c: 75501/87808, M1: 9/7, M2: 8/7, M3: 5/7, M4: 6/7, M5: 5/7, M6: 5/7, M7: 6/7, q1: 3/4, q2: 9/28, qb1: 11/28, qb2: 15/28, phi1: 1/2} |
4895 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_8q_1\tilde{q}_1$ | 0.6896 | 0.9011 | 0.7652 | [X:[], M:[1.2302, 1.1151, 0.7698, 0.8849, 0.7698, 0.7698, 0.6905, 0.8849], q:[0.75, 0.4048], qb:[0.3651, 0.4802], phi:[0.5]] | t^2.07 + 3*t^2.31 + t^2.54 + 2*t^2.65 + t^3. + t^3.46 + t^3.81 + t^4.04 + t^4.14 + t^4.15 + 4*t^4.38 + t^4.61 + 6*t^4.62 + 2*t^4.73 + 3*t^4.85 + 6*t^4.96 + 2*t^5.07 + 2*t^5.19 + 6*t^5.31 + 2*t^5.54 + t^5.65 + 2*t^5.77 - 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 |
---|---|---|---|---|---|---|---|---|---|
1962 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6585 | 0.8435 | 0.7807 | [X:[], M:[1.2298, 1.1149, 0.7702, 0.8851, 0.7702, 0.7702], q:[0.75, 0.4053], qb:[0.3649, 0.4798], phi:[0.5]] | 3*t^2.31 + t^2.53 + t^2.66 + t^3. + t^3.34 + t^3.47 + t^3.81 + t^3.93 + t^4.03 + t^4.16 + t^4.38 + 6*t^4.62 + 3*t^4.84 + 3*t^4.97 + t^5.07 + t^5.19 + 4*t^5.31 + t^5.53 + 3*t^5.66 + 2*t^5.78 - t^6. - t^4.5/y - t^4.5*y | detail |