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 |
---|---|---|---|---|---|---|---|---|---|
46155 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_1M_3$ | 0.5673 | 0.6974 | 0.8134 | [X:[], M:[1.0642, 0.9358, 0.9358], q:[0.6055, 0.3303], qb:[0.4587, 0.9908], phi:[0.4037]] | [X:[], M:[[4], [-4], [-4]], q:[[-9], [5]], qb:[[13], [15]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ \phi_1^2$, $ M_2$, $ M_3$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1^4$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ \phi_1^3q_2^2$, $ \phi_1q_2^2\tilde{q}_1^2$ | $M_3\phi_1q_2^2$, $ \phi_1^3q_2\tilde{q}_1$ | 0 | t^2.37 + t^2.42 + 2*t^2.81 + t^3.19 + t^3.58 + 2*t^3.96 + t^4.35 + t^4.73 + 2*t^4.79 + t^4.84 + 2*t^5.17 + t^5.23 + t^5.56 + 2*t^5.61 + t^5.94 + 2*t^6.33 + 2*t^6.39 - t^6.44 + t^6.72 + 3*t^6.77 - 2*t^6.83 + t^7.1 + 4*t^7.16 + t^7.27 + 3*t^7.54 + t^7.65 + 4*t^7.93 + 3*t^8.31 - t^8.37 + 3*t^8.7 + 2*t^8.75 - 3*t^8.81 - t^4.21/y - t^6.63/y - t^7.02/y + t^7.4/y + (2*t^7.79)/y + (2*t^8.17)/y + (2*t^8.23)/y + t^8.56/y + (2*t^8.61)/y + t^8.94/y - t^4.21*y - t^6.63*y - t^7.02*y + t^7.4*y + 2*t^7.79*y + 2*t^8.17*y + 2*t^8.23*y + t^8.56*y + 2*t^8.61*y + t^8.94*y | g1^18*t^2.37 + t^2.42/g1^12 + (2*t^2.81)/g1^4 + g1^4*t^3.19 + g1^12*t^3.58 + 2*g1^20*t^3.96 + g1^28*t^4.35 + g1^36*t^4.73 + 2*g1^6*t^4.79 + t^4.84/g1^24 + 2*g1^14*t^5.17 + t^5.23/g1^16 + g1^22*t^5.56 + (2*t^5.61)/g1^8 + g1^30*t^5.94 + 2*g1^38*t^6.33 + 2*g1^8*t^6.39 - t^6.44/g1^22 + g1^46*t^6.72 + 3*g1^16*t^6.77 - (2*t^6.83)/g1^14 + g1^54*t^7.1 + 4*g1^24*t^7.16 + t^7.27/g1^36 + 3*g1^32*t^7.54 + t^7.65/g1^28 + 4*g1^40*t^7.93 + 3*g1^48*t^8.31 - g1^18*t^8.37 + 3*g1^56*t^8.7 + 2*g1^26*t^8.75 - (3*t^8.81)/g1^4 - t^4.21/(g1^6*y) - t^6.63/(g1^18*y) - t^7.02/(g1^10*y) + t^7.4/(g1^2*y) + (2*g1^6*t^7.79)/y + (2*g1^14*t^8.17)/y + (2*t^8.23)/(g1^16*y) + (g1^22*t^8.56)/y + (2*t^8.61)/(g1^8*y) + (g1^30*t^8.94)/y - (t^4.21*y)/g1^6 - (t^6.63*y)/g1^18 - (t^7.02*y)/g1^10 + (t^7.4*y)/g1^2 + 2*g1^6*t^7.79*y + 2*g1^14*t^8.17*y + (2*t^8.23*y)/g1^16 + g1^22*t^8.56*y + (2*t^8.61*y)/g1^8 + g1^30*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 |
---|---|---|---|---|---|---|---|---|
46736 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_1M_3$ + $ M_4\phi_1q_2^2$ | 0.5733 | 0.7067 | 0.8113 | [X:[], M:[1.0667, 0.9333, 0.9333, 0.9333], q:[0.6, 0.3333], qb:[0.4667, 1.0], phi:[0.4]] | 2*t^2.4 + 3*t^2.8 + t^3.6 + 2*t^4. + t^4.4 + 4*t^4.8 + 5*t^5.2 + 4*t^5.6 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 43/75, c: 53/75, M1: 16/15, M2: 14/15, M3: 14/15, M4: 14/15, q1: 3/5, q2: 1/3, qb1: 7/15, qb2: 1, phi1: 2/5} |
46625 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_1M_3$ + $ q_2^2\tilde{q}_1^2$ + $ \phi_1^2X_1$ | 0.51 | 0.6003 | 0.8496 | [X:[1.3333], M:[1.1111, 0.8889, 0.8889], q:[0.5, 0.3889], qb:[0.6111, 1.1667], phi:[0.3333]] | 2*t^2.67 + t^3. + t^3.33 + 2*t^4. + t^4.67 + t^5. + 2*t^5.33 + t^5.67 - t^4./y - t^4.*y | detail | {a: 661/1296, c: 389/648, X1: 4/3, M1: 10/9, M2: 8/9, M3: 8/9, q1: 1/2, q2: 7/18, qb1: 11/18, qb2: 7/6, phi1: 1/3} |
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 |
---|---|---|---|---|---|---|---|---|---|
46075 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ | 0.5614 | 0.6887 | 0.8152 | [X:[], M:[1.0618, 0.9382], q:[0.611, 0.3272], qb:[0.4508, 0.9817], phi:[0.4073]] | t^2.33 + t^2.44 + t^2.81 + 2*t^3.19 + t^3.56 + 2*t^3.93 + t^4.3 + t^4.67 + 2*t^4.78 + t^4.89 + t^5.15 + 2*t^5.52 + t^5.63 + t^5.89 - t^4.22/y - t^4.22*y | detail |