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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57080 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_3M_7$ | 0.6866 | 0.8741 | 0.7855 | [X:[], M:[0.852, 0.787, 1.213, 0.852, 0.787, 0.852, 0.787], q:[0.7221, 0.426], qb:[0.787, 0.361], phi:[0.426]] | [X:[], M:[[-4], [1], [-1], [-4], [1], [-4], [1]], q:[[6], [-2]], qb:[[1], [3]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_5$, $ M_7$, $ M_1$, $ M_4$, $ M_6$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_2M_7$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_4$, $ M_1M_5$, $ M_4M_5$, $ M_2M_6$, $ M_5M_6$, $ M_1M_7$, $ M_4M_7$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_1M_6$, $ M_4M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1^2$, $ M_2q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$ | . | -4 | 3*t^2.36 + 4*t^2.56 + t^3.25 + t^3.83 + 2*t^4.53 + 7*t^4.72 + 11*t^4.92 + 9*t^5.11 + 4*t^5.61 + 3*t^5.81 - 4*t^6. - t^6.19 + 3*t^6.39 + t^6.5 + 2*t^6.89 + 15*t^7.08 + 19*t^7.28 + 22*t^7.47 + 18*t^7.67 + 2*t^7.78 + 7*t^7.97 + 6*t^8.17 - 9*t^8.36 - 18*t^8.56 - 5*t^8.75 + 4*t^8.86 + 5*t^8.95 - t^4.28/y - (2*t^6.64)/y - (4*t^6.83)/y + (7*t^7.72)/y + (14*t^7.92)/y + (6*t^8.11)/y + (3*t^8.61)/y + (4*t^8.81)/y - t^4.28*y - 2*t^6.64*y - 4*t^6.83*y + 7*t^7.72*y + 14*t^7.92*y + 6*t^8.11*y + 3*t^8.61*y + 4*t^8.81*y | 3*g1*t^2.36 + (4*t^2.56)/g1^4 + g1^9*t^3.25 + t^3.83/g1^6 + 2*g1^7*t^4.53 + 7*g1^2*t^4.72 + (11*t^4.92)/g1^3 + (9*t^5.11)/g1^8 + 4*g1^10*t^5.61 + 3*g1^5*t^5.81 - 4*t^6. - t^6.19/g1^5 + (3*t^6.39)/g1^10 + g1^18*t^6.5 + 2*g1^8*t^6.89 + 15*g1^3*t^7.08 + (19*t^7.28)/g1^2 + (22*t^7.47)/g1^7 + (18*t^7.67)/g1^12 + 2*g1^16*t^7.78 + 7*g1^11*t^7.97 + 6*g1^6*t^8.17 - 9*g1*t^8.36 - (18*t^8.56)/g1^4 - (5*t^8.75)/g1^9 + 4*g1^19*t^8.86 + (5*t^8.95)/g1^14 - t^4.28/(g1^2*y) - (2*t^6.64)/(g1*y) - (4*t^6.83)/(g1^6*y) + (7*g1^2*t^7.72)/y + (14*t^7.92)/(g1^3*y) + (6*t^8.11)/(g1^8*y) + (3*g1^10*t^8.61)/y + (4*g1^5*t^8.81)/y - (t^4.28*y)/g1^2 - (2*t^6.64*y)/g1 - (4*t^6.83*y)/g1^6 + 7*g1^2*t^7.72*y + (14*t^7.92*y)/g1^3 + (6*t^8.11*y)/g1^8 + 3*g1^10*t^8.61*y + 4*g1^5*t^8.81*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 |
---|---|---|---|---|---|---|---|---|---|
55512 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6694 | 0.8436 | 0.7935 | [X:[], M:[0.8494, 0.7877, 1.2123, 0.8494, 0.7877, 0.8494], q:[0.726, 0.4247], qb:[0.7877, 0.363], phi:[0.4247]] | 2*t^2.36 + 4*t^2.55 + t^3.27 + t^3.64 + t^3.82 + 2*t^4.54 + 4*t^4.73 + 7*t^4.91 + 9*t^5.1 + 3*t^5.63 + 3*t^5.81 - 2*t^6. - t^4.27/y - t^4.27*y | detail |