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 |
---|---|---|---|---|---|---|---|---|---|
335 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_2q_2\tilde{q}_1$ | 0.5742 | 0.7205 | 0.797 | [X:[], M:[1.0, 1.1067, 0.7865], q:[0.7767, 0.2233], qb:[0.6699, 0.5436], phi:[0.4466]] | [X:[], M:[[0], [4], [-8]], q:[[1], [-1]], qb:[[-3], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_2$, $ M_3$, $ \phi_1q_2^2$, $ q_2\tilde{q}_1$, $ M_1$, $ M_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3^2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_3$, $ \phi_1^2q_2^4$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_2M_3$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2\tilde{q}_2^2$ | . | -1 | t^2.3 + t^2.36 + 2*t^2.68 + t^3. + t^3.32 + t^3.64 + t^3.96 + t^4.02 + t^4.34 + 2*t^4.6 + t^4.72 + 3*t^4.98 + t^5.04 + t^5.3 + 5*t^5.36 + 2*t^5.68 + t^5.94 - t^6. + t^6.26 + 3*t^6.32 - t^6.38 + 2*t^6.64 + 2*t^6.7 + 2*t^6.9 + t^7.02 + t^7.08 + 5*t^7.28 - 2*t^7.34 + t^7.4 + 2*t^7.6 + 4*t^7.66 + 2*t^7.72 + t^7.92 + 2*t^7.98 + 7*t^8.04 + 2*t^8.24 - 3*t^8.3 + t^8.36 + 2*t^8.56 + 2*t^8.62 - 5*t^8.68 + 2*t^8.94 - t^4.34/y - t^6.7/y + t^7.66/y + (3*t^7.98)/y + (2*t^8.04)/y + t^8.3/y + (2*t^8.36)/y + t^8.62/y + (3*t^8.68)/y + t^8.94/y - t^4.34*y - t^6.7*y + t^7.66*y + 3*t^7.98*y + 2*t^8.04*y + t^8.3*y + 2*t^8.36*y + t^8.62*y + 3*t^8.68*y + t^8.94*y | g1^10*t^2.3 + t^2.36/g1^8 + (2*t^2.68)/g1^4 + t^3. + g1^4*t^3.32 + g1^8*t^3.64 + g1^12*t^3.96 + t^4.02/g1^6 + t^4.34/g1^2 + 2*g1^20*t^4.6 + t^4.72/g1^16 + 3*g1^6*t^4.98 + t^5.04/g1^12 + g1^10*t^5.3 + (5*t^5.36)/g1^8 + (2*t^5.68)/g1^4 + g1^18*t^5.94 - t^6. + g1^22*t^6.26 + 3*g1^4*t^6.32 - t^6.38/g1^14 + 2*g1^8*t^6.64 + (2*t^6.7)/g1^10 + 2*g1^30*t^6.9 + t^7.02/g1^6 + t^7.08/g1^24 + 5*g1^16*t^7.28 - (2*t^7.34)/g1^2 + t^7.4/g1^20 + 2*g1^20*t^7.6 + 4*g1^2*t^7.66 + (2*t^7.72)/g1^16 + g1^24*t^7.92 + 2*g1^6*t^7.98 + (7*t^8.04)/g1^12 + 2*g1^28*t^8.24 - 3*g1^10*t^8.3 + t^8.36/g1^8 + 2*g1^32*t^8.56 + 2*g1^14*t^8.62 - (5*t^8.68)/g1^4 + 2*g1^18*t^8.94 - t^4.34/(g1^2*y) - t^6.7/(g1^10*y) + (g1^2*t^7.66)/y + (3*g1^6*t^7.98)/y + (2*t^8.04)/(g1^12*y) + (g1^10*t^8.3)/y + (2*t^8.36)/(g1^8*y) + (g1^14*t^8.62)/y + (3*t^8.68)/(g1^4*y) + (g1^18*t^8.94)/y - (t^4.34*y)/g1^2 - (t^6.7*y)/g1^10 + g1^2*t^7.66*y + 3*g1^6*t^7.98*y + (2*t^8.04*y)/g1^12 + g1^10*t^8.3*y + (2*t^8.36*y)/g1^8 + g1^14*t^8.62*y + (3*t^8.68*y)/g1^4 + g1^18*t^8.94*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 |
---|---|---|---|---|---|---|---|---|
529 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_2q_2\tilde{q}_1$ + $ \phi_1q_2^2\tilde{q}_2^2$ | 0.5741 | 0.7199 | 0.7974 | [X:[], M:[1.0, 1.1111, 0.7778], q:[0.7778, 0.2222], qb:[0.6667, 0.5556], phi:[0.4444]] | 2*t^2.33 + 2*t^2.67 + t^3. + t^3.33 + t^3.67 + 2*t^4. + t^4.33 + 3*t^4.67 + 4*t^5. + 6*t^5.33 + 2*t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 31/54, c: 311/432, M1: 1, M2: 10/9, M3: 7/9, q1: 7/9, q2: 2/9, qb1: 2/3, qb2: 5/9, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
208 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ | 0.5895 | 0.742 | 0.7945 | [X:[], M:[1.0, 1.0406, 0.9189], q:[0.7601, 0.2399], qb:[0.5406, 0.5406], phi:[0.4797]] | 2*t^2.34 + t^2.76 + t^2.88 + t^3. + t^3.12 + 2*t^3.78 + 2*t^3.9 + 6*t^4.68 + 2*t^5.22 + 2*t^5.34 + 2*t^5.46 + t^5.51 + t^5.63 + 2*t^5.76 + t^5.88 - 4*t^6. - t^4.44/y - t^4.44*y | detail |