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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47016 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4^2$ + $ M_2M_5$ | 0.6921 | 0.8476 | 0.8165 | [X:[], M:[1.0191, 0.9904, 0.9809, 1.0, 1.0096], q:[0.5, 0.4809], qb:[0.5096, 0.5191], phi:[0.4976]] | [X:[], M:[[8], [-4], [-8], [0], [4]], q:[[0], [-8]], qb:[[4], [8]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_3$, $ M_2$, $ \phi_1^2$, $ M_4$, $ M_5$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_2\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_4\phi_1^2$ | . | -1 | t^2.94 + t^2.97 + t^2.99 + t^3. + t^3.03 + t^3.06 + t^3.09 + t^4.38 + t^4.44 + t^4.46 + 2*t^4.49 + t^4.52 + 2*t^4.55 + t^4.58 + t^4.61 + t^5.93 + t^5.96 + t^5.97 + t^5.99 - t^6. + t^6.01 + t^6.04 + t^6.06 + t^6.07 + t^6.09 + t^6.11 + t^6.14 + t^6.17 + t^7.32 + t^7.35 + t^7.36 + t^7.38 - t^7.39 + t^7.41 + t^7.42 + 2*t^7.44 + 2*t^7.46 + t^7.48 + 2*t^7.49 - t^7.51 + 3*t^7.52 + t^7.54 + 4*t^7.55 - t^7.56 + 4*t^7.58 + 3*t^7.61 - t^7.62 + 3*t^7.64 + 2*t^7.66 + t^7.69 + t^8.76 + t^8.81 + t^8.84 - t^8.86 + 2*t^8.87 - t^8.89 + t^8.9 + 3*t^8.93 - 2*t^8.94 + 3*t^8.96 - 4*t^8.97 + 3*t^8.99 - t^4.49/y - t^7.48/y + t^7.51/y + t^8.91/y + t^8.93/y + t^8.94/y + t^8.96/y + (2*t^8.97)/y + t^8.99/y - t^4.49*y - t^7.48*y + t^7.51*y + t^8.91*y + t^8.93*y + t^8.94*y + t^8.96*y + 2*t^8.97*y + t^8.99*y | t^2.94/g1^8 + t^2.97/g1^4 + t^2.99/g1^2 + t^3. + g1^4*t^3.03 + g1^8*t^3.06 + g1^12*t^3.09 + t^4.38/g1^17 + t^4.44/g1^9 + t^4.46/g1^5 + (2*t^4.49)/g1 + g1^3*t^4.52 + 2*g1^7*t^4.55 + g1^11*t^4.58 + g1^15*t^4.61 + t^5.93/g1^10 + t^5.96/g1^6 + t^5.97/g1^4 + t^5.99/g1^2 - t^6. + g1^2*t^6.01 + g1^6*t^6.04 + g1^8*t^6.06 + g1^10*t^6.07 + g1^12*t^6.09 + g1^16*t^6.11 + g1^20*t^6.14 + g1^24*t^6.17 + t^7.32/g1^25 + t^7.35/g1^21 + t^7.36/g1^19 + t^7.38/g1^17 - t^7.39/g1^15 + t^7.41/g1^13 + t^7.42/g1^11 + (2*t^7.44)/g1^9 + (2*t^7.46)/g1^5 + t^7.48/g1^3 + (2*t^7.49)/g1 - g1*t^7.51 + 3*g1^3*t^7.52 + g1^5*t^7.54 + 4*g1^7*t^7.55 - g1^9*t^7.56 + 4*g1^11*t^7.58 + 3*g1^15*t^7.61 - g1^17*t^7.62 + 3*g1^19*t^7.64 + 2*g1^23*t^7.66 + g1^27*t^7.69 + t^8.76/g1^34 + t^8.81/g1^26 + t^8.84/g1^22 - t^8.86/g1^20 + (2*t^8.87)/g1^18 - t^8.89/g1^16 + t^8.9/g1^14 + (3*t^8.93)/g1^10 - (2*t^8.94)/g1^8 + (3*t^8.96)/g1^6 - (4*t^8.97)/g1^4 + (3*t^8.99)/g1^2 - t^4.49/(g1*y) - t^7.48/(g1^3*y) + (g1*t^7.51)/y + t^8.91/(g1^12*y) + t^8.93/(g1^10*y) + t^8.94/(g1^8*y) + t^8.96/(g1^6*y) + (2*t^8.97)/(g1^4*y) + t^8.99/(g1^2*y) - (t^4.49*y)/g1 - (t^7.48*y)/g1^3 + g1*t^7.51*y + (t^8.91*y)/g1^12 + (t^8.93*y)/g1^10 + (t^8.94*y)/g1^8 + (t^8.96*y)/g1^6 + (2*t^8.97*y)/g1^4 + (t^8.99*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
51309 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4^2$ + $ M_2M_5$ + $ M_1M_6$ | 0.695 | 0.8523 | 0.8155 | [X:[], M:[1.0432, 0.9784, 0.9568, 1.0, 1.0216, 0.9568], q:[0.5, 0.4568], qb:[0.5216, 0.5432], phi:[0.4946]] | 2*t^2.87 + t^2.94 + t^2.97 + t^3. + t^3.06 + t^3.19 + t^4.22 + t^4.35 + t^4.42 + 2*t^4.48 + t^4.55 + 2*t^4.61 + t^4.68 + t^4.74 + 2*t^5.74 + t^5.81 + 2*t^5.84 + t^5.87 + t^5.9 + 2*t^5.94 + t^5.97 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
55298 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4^2$ + $ M_2M_5$ + $ M_3M_6$ | 0.6915 | 0.8483 | 0.8152 | [X:[], M:[0.9947, 1.0027, 1.0053, 1.0, 0.9973, 0.9947], q:[0.5, 0.5053], qb:[0.4973, 0.4947], phi:[0.5007]] | 3*t^2.98 + t^2.99 + 2*t^3. + t^3.01 + t^4.47 + t^4.48 + 3*t^4.49 + 2*t^4.5 + t^4.51 + t^4.52 + t^4.53 + t^5.95 + 2*t^5.96 + 3*t^5.97 + 5*t^5.98 + 2*t^5.99 - t^4.5/y - t^4.5*y | detail | |
55297 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4^2$ + $ M_2M_5$ + $ M_5M_6$ | 0.6933 | 0.8493 | 0.8163 | [X:[], M:[1.0313, 0.9843, 0.9687, 1.0, 1.0157, 0.9843], q:[0.5, 0.4687], qb:[0.5157, 0.5313], phi:[0.4961]] | t^2.91 + 2*t^2.95 + t^2.98 + t^3. + t^3.09 + t^3.14 + t^4.3 + t^4.39 + t^4.44 + 2*t^4.49 + t^4.54 + 2*t^4.58 + t^4.63 + t^4.68 + t^5.86 + t^5.88 + 2*t^5.91 + 2*t^5.93 + t^5.95 + t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
55006 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4^2$ + $ M_2M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.5758 | 0.7217 | 0.7979 | [X:[], M:[1.2667, 0.8667, 0.7333, 1.0, 1.1333], q:[0.5, 0.2333], qb:[0.6333, 0.7667], phi:[0.4667]] | t^2.2 + t^2.6 + 2*t^2.8 + t^3. + t^3.4 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.8 + 2*t^5. + 2*t^5.2 + 2*t^5.4 + 4*t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 691/1200, c: 433/600, M1: 19/15, M2: 13/15, M3: 11/15, M4: 1, M5: 17/15, q1: 1/2, q2: 7/30, qb1: 19/30, qb2: 23/30, phi1: 7/15} |
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 |
---|---|---|---|---|---|---|---|---|---|
46476 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4^2$ | 0.7222 | 0.8878 | 0.8134 | [X:[], M:[0.9818, 0.8228, 1.0182, 1.0, 0.8046], q:[0.5, 0.5182], qb:[0.6772, 0.4818], phi:[0.4557]] | t^2.41 + t^2.47 + t^2.73 + t^2.95 + t^3. + t^3.05 + t^3.48 + t^4.26 + t^4.31 + 2*t^4.37 + t^4.42 + t^4.48 + t^4.83 + t^4.84 + t^4.88 + t^4.9 + t^4.94 + t^4.95 + t^5.15 + t^5.2 + t^5.36 + t^5.41 + t^5.43 + 2*t^5.47 + t^5.68 + t^5.73 + t^5.79 + t^5.89 - 2*t^6. - t^4.37/y - t^4.37*y | detail |