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 |
---|---|---|---|---|---|---|---|---|---|
1040 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6562 | 0.806 | 0.8142 | [M:[1.1685, 1.1087, 0.951, 1.0, 0.8315, 0.7718], q:[0.7772, 0.4402], qb:[0.3913, 0.6087], phi:[0.4456]] | [M:[[-3], [4], [-11], [0], [3], [10]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}q_{1}q_{2}$ | ${}$ | -1 | t^2.315 + t^2.495 + t^2.853 + t^3. + t^3.326 + t^3.505 + t^3.652 + t^3.832 + t^3.978 + t^4.158 + t^4.337 + t^4.484 + t^4.631 + t^4.81 + 2*t^4.989 + t^5.168 + t^5.315 + t^5.641 + t^5.706 + 2*t^5.821 + t^5.968 - t^6. + t^6.147 + t^6.294 + t^6.326 + t^6.359 + 2*t^6.473 + 2*t^6.652 + t^6.799 + t^6.832 + t^6.946 + 2*t^6.978 + t^7.125 + t^7.158 + 3*t^7.305 + 4*t^7.484 + 2*t^7.631 + t^7.663 + 2*t^7.81 + 2*t^7.957 + t^7.989 + t^8.022 + 3*t^8.136 - t^8.168 + t^8.283 + t^8.315 - t^8.348 + 2*t^8.462 - t^8.495 + t^8.559 + t^8.609 + 2*t^8.641 + 2*t^8.788 - 2*t^8.853 + 4*t^8.968 - t^4.337/y - t^6.652/y - t^7.19/y + t^7.484/y + t^7.81/y + t^8.022/y + t^8.168/y + t^8.315/y + t^8.348/y + t^8.495/y + t^8.641/y + (2*t^8.821)/y + t^8.853/y - t^4.337*y - t^6.652*y - t^7.19*y + t^7.484*y + t^7.81*y + t^8.022*y + t^8.168*y + t^8.315*y + t^8.348*y + t^8.495*y + t^8.641*y + 2*t^8.821*y + t^8.853*y | g1^10*t^2.315 + g1^3*t^2.495 + t^2.853/g1^11 + t^3. + g1^4*t^3.326 + t^3.505/g1^3 + g1^8*t^3.652 + g1*t^3.832 + g1^12*t^3.978 + g1^5*t^4.158 + t^4.337/g1^2 + g1^9*t^4.484 + g1^20*t^4.631 + g1^13*t^4.81 + 2*g1^6*t^4.989 + t^5.168/g1 + g1^10*t^5.315 + g1^14*t^5.641 + t^5.706/g1^22 + 2*g1^7*t^5.821 + g1^18*t^5.968 - t^6. + g1^11*t^6.147 + g1^22*t^6.294 + g1^4*t^6.326 + t^6.359/g1^14 + 2*g1^15*t^6.473 + 2*g1^8*t^6.652 + g1^19*t^6.799 + g1*t^6.832 + g1^30*t^6.946 + 2*g1^12*t^6.978 + g1^23*t^7.125 + g1^5*t^7.158 + 3*g1^16*t^7.305 + 4*g1^9*t^7.484 + 2*g1^20*t^7.631 + g1^2*t^7.663 + 2*g1^13*t^7.81 + 2*g1^24*t^7.957 + g1^6*t^7.989 + t^8.022/g1^12 + 3*g1^17*t^8.136 - t^8.168/g1 + g1^28*t^8.283 + g1^10*t^8.315 - t^8.348/g1^8 + 2*g1^21*t^8.462 - g1^3*t^8.495 + t^8.559/g1^33 + g1^32*t^8.609 + 2*g1^14*t^8.641 + 2*g1^25*t^8.788 - (2*t^8.853)/g1^11 + 4*g1^18*t^8.968 - t^4.337/(g1^2*y) - (g1^8*t^6.652)/y - t^7.19/(g1^13*y) + (g1^9*t^7.484)/y + (g1^13*t^7.81)/y + t^8.022/(g1^12*y) + t^8.168/(g1*y) + (g1^10*t^8.315)/y + t^8.348/(g1^8*y) + (g1^3*t^8.495)/y + (g1^14*t^8.641)/y + (2*g1^7*t^8.821)/y + t^8.853/(g1^11*y) - (t^4.337*y)/g1^2 - g1^8*t^6.652*y - (t^7.19*y)/g1^13 + g1^9*t^7.484*y + g1^13*t^7.81*y + (t^8.022*y)/g1^12 + (t^8.168*y)/g1 + g1^10*t^8.315*y + (t^8.348*y)/g1^8 + g1^3*t^8.495*y + g1^14*t^8.641*y + 2*g1^7*t^8.821*y + (t^8.853*y)/g1^11 |
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 |
---|---|---|---|---|---|---|---|---|
1623 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6044 | 0.7357 | 0.8216 | [M:[1.1, 1.2, 0.7, 1.0, 0.9, 1.0], q:[0.8, 0.6], qb:[0.3, 0.7], phi:[0.4]] | t^2.1 + t^2.7 + 2*t^3. + t^3.3 + t^3.6 + t^3.9 + 3*t^4.2 + t^4.5 + t^4.8 + 2*t^5.1 + 3*t^5.4 + t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 19341/32000, c: 23541/32000, M1: 11/10, M2: 6/5, M3: 7/10, M4: 1, M5: 9/10, M6: 1, q1: 4/5, q2: 3/5, qb1: 3/10, qb2: 7/10, phi1: 2/5} |
1624 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6771 | 0.8472 | 0.7991 | [M:[1.168, 1.1094, 0.9492, 1.0, 0.832, 0.7735, 0.6718], q:[0.7773, 0.4414], qb:[0.3906, 0.6094], phi:[0.4453]] | t^2.016 + t^2.32 + t^2.496 + t^2.848 + t^3. + t^3.328 + t^3.504 + t^3.656 + t^3.832 + t^4.031 + t^4.16 + 2*t^4.336 + t^4.488 + t^4.512 + t^4.641 + t^4.817 + t^4.863 + 2*t^4.992 + t^5.016 + t^5.168 + t^5.32 + t^5.344 + t^5.519 + t^5.649 + t^5.672 + t^5.695 + 2*t^5.824 + t^5.848 + t^5.977 - t^6. - t^4.336/y - t^4.336*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 |
---|---|---|---|---|---|---|---|---|---|
651 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6389 | 0.7739 | 0.8256 | [M:[1.1595, 1.1206, 0.9183, 1.0, 0.8405], q:[0.7802, 0.4611], qb:[0.3794, 0.6206], phi:[0.4397]] | t^2.521 + t^2.755 + t^3. + t^3.362 + t^3.479 + t^3.595 + t^3.724 + t^3.84 + t^4.086 + t^4.202 + t^4.319 + t^4.564 + 2*t^5.043 + t^5.51 + t^5.883 - t^6. - t^4.319/y - t^4.319*y | detail |