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 |
---|---|---|---|---|---|---|---|---|---|
3345 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.651 | 0.8622 | 0.755 | [M:[0.9518, 1.1446, 0.759, 0.7169, 0.8554, 0.8134], q:[0.7379, 0.3103], qb:[0.4067, 0.4487], phi:[0.5241]] | [M:[[4], [-12], [20], [-18], [12], [-26]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$ | ${}M_{5}\phi_{1}q_{2}^{2}$ | -1 | 2*t^2.151 + 2*t^2.277 + t^2.44 + t^2.566 + t^2.855 + t^3.145 + 2*t^3.434 + t^4.012 + t^4.138 + t^4.264 + 3*t^4.302 + 4*t^4.428 + 3*t^4.554 + 2*t^4.591 + 4*t^4.717 + 2*t^4.843 + t^4.88 + 3*t^5.006 + 3*t^5.132 + 3*t^5.295 + 3*t^5.421 + 4*t^5.585 + 4*t^5.711 + t^5.874 - t^6. - t^6.126 + 2*t^6.163 + 3*t^6.289 + 2*t^6.415 + 5*t^6.452 + 2*t^6.541 + 8*t^6.579 + 6*t^6.705 + 3*t^6.742 + 5*t^6.831 + 8*t^6.868 + 5*t^6.994 + 2*t^7.031 + 3*t^7.12 + 6*t^7.157 + 5*t^7.283 + t^7.32 + 5*t^7.409 + 6*t^7.446 + 6*t^7.572 + 5*t^7.698 + 7*t^7.736 + 6*t^7.862 + 4*t^7.988 + 3*t^8.025 - 3*t^8.277 + 4*t^8.314 - t^8.403 + 2*t^8.44 + t^8.529 + t^8.566 + 7*t^8.603 + 2*t^8.692 + 11*t^8.729 + 3*t^8.818 + 6*t^8.855 + 5*t^8.893 + 7*t^8.981 - t^4.572/y - t^6.723/y - t^6.849/y - t^7.012/y + t^7.302/y + (4*t^7.428)/y + t^7.554/y + (2*t^7.591)/y + (4*t^7.717)/y + (2*t^7.843)/y + (3*t^8.006)/y + (3*t^8.132)/y + (4*t^8.295)/y + (4*t^8.421)/y + (5*t^8.585)/y + (5*t^8.711)/y + t^8.874/y - t^4.572*y - t^6.723*y - t^6.849*y - t^7.012*y + t^7.302*y + 4*t^7.428*y + t^7.554*y + 2*t^7.591*y + 4*t^7.717*y + 2*t^7.843*y + 3*t^8.006*y + 3*t^8.132*y + 4*t^8.295*y + 4*t^8.421*y + 5*t^8.585*y + 5*t^8.711*y + t^8.874*y | (2*t^2.151)/g1^18 + 2*g1^20*t^2.277 + t^2.44/g1^26 + g1^12*t^2.566 + g1^4*t^2.855 + t^3.145/g1^4 + (2*t^3.434)/g1^12 + t^4.012/g1^28 + g1^10*t^4.138 + g1^48*t^4.264 + (3*t^4.302)/g1^36 + 4*g1^2*t^4.428 + 3*g1^40*t^4.554 + (2*t^4.591)/g1^44 + (4*t^4.717)/g1^6 + 2*g1^32*t^4.843 + t^4.88/g1^52 + (3*t^5.006)/g1^14 + 3*g1^24*t^5.132 + (3*t^5.295)/g1^22 + 3*g1^16*t^5.421 + (4*t^5.585)/g1^30 + 4*g1^8*t^5.711 + t^5.874/g1^38 - t^6. - g1^38*t^6.126 + (2*t^6.163)/g1^46 + (3*t^6.289)/g1^8 + 2*g1^30*t^6.415 + (5*t^6.452)/g1^54 + 2*g1^68*t^6.541 + (8*t^6.579)/g1^16 + 6*g1^22*t^6.705 + (3*t^6.742)/g1^62 + 5*g1^60*t^6.831 + (8*t^6.868)/g1^24 + 5*g1^14*t^6.994 + (2*t^7.031)/g1^70 + 3*g1^52*t^7.12 + (6*t^7.157)/g1^32 + 5*g1^6*t^7.283 + t^7.32/g1^78 + 5*g1^44*t^7.409 + (6*t^7.446)/g1^40 + (6*t^7.572)/g1^2 + 5*g1^36*t^7.698 + (7*t^7.736)/g1^48 + (6*t^7.862)/g1^10 + 4*g1^28*t^7.988 + (3*t^8.025)/g1^56 - 3*g1^20*t^8.277 + (4*t^8.314)/g1^64 - g1^58*t^8.403 + (2*t^8.44)/g1^26 + g1^96*t^8.529 + g1^12*t^8.566 + (7*t^8.603)/g1^72 + 2*g1^50*t^8.692 + (11*t^8.729)/g1^34 + 3*g1^88*t^8.818 + 6*g1^4*t^8.855 + (5*t^8.893)/g1^80 + 7*g1^42*t^8.981 - t^4.572/(g1^2*y) - t^6.723/(g1^20*y) - (g1^18*t^6.849)/y - t^7.012/(g1^28*y) + t^7.302/(g1^36*y) + (4*g1^2*t^7.428)/y + (g1^40*t^7.554)/y + (2*t^7.591)/(g1^44*y) + (4*t^7.717)/(g1^6*y) + (2*g1^32*t^7.843)/y + (3*t^8.006)/(g1^14*y) + (3*g1^24*t^8.132)/y + (4*t^8.295)/(g1^22*y) + (4*g1^16*t^8.421)/y + (5*t^8.585)/(g1^30*y) + (5*g1^8*t^8.711)/y + t^8.874/(g1^38*y) - (t^4.572*y)/g1^2 - (t^6.723*y)/g1^20 - g1^18*t^6.849*y - (t^7.012*y)/g1^28 + (t^7.302*y)/g1^36 + 4*g1^2*t^7.428*y + g1^40*t^7.554*y + (2*t^7.591*y)/g1^44 + (4*t^7.717*y)/g1^6 + 2*g1^32*t^7.843*y + (3*t^8.006*y)/g1^14 + 3*g1^24*t^8.132*y + (4*t^8.295*y)/g1^22 + 4*g1^16*t^8.421*y + (5*t^8.585*y)/g1^30 + 5*g1^8*t^8.711*y + (t^8.874*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
3797 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{7}$ | 0.6466 | 0.8549 | 0.7563 | [M:[0.9525, 1.1425, 0.7625, 0.7138, 0.8575, 0.8088, 1.0475], q:[0.7381, 0.3094], qb:[0.4044, 0.4531], phi:[0.5238]] | 2*t^2.141 + 2*t^2.287 + t^2.426 + t^2.572 + 2*t^3.143 + 2*t^3.428 + t^3.998 + t^4.144 + 3*t^4.283 + t^4.29 + 4*t^4.429 + 2*t^4.568 + 3*t^4.575 + 4*t^4.714 + t^4.853 + 2*t^4.86 + t^4.999 + t^5.145 + 4*t^5.284 + 4*t^5.43 + 5*t^5.569 + 4*t^5.715 + t^5.854 - 2*t^6. - t^4.571/y - t^4.571*y | detail | |
3796 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{7}$ | 0.6385 | 0.8413 | 0.759 | [M:[0.9536, 1.1393, 0.7678, 0.709, 0.8607, 0.8019, 1.1393], q:[0.7384, 0.308], qb:[0.4009, 0.4598], phi:[0.5232]] | 2*t^2.127 + 2*t^2.303 + t^2.406 + t^2.861 + t^3.139 + 3*t^3.418 + t^3.975 + t^4.152 + 3*t^4.254 + t^4.328 + 4*t^4.43 + 2*t^4.532 + 3*t^4.607 + 2*t^4.709 + t^4.811 + 2*t^4.988 + 2*t^5.164 + 3*t^5.266 + 2*t^5.443 + 6*t^5.545 + 5*t^5.721 + 2*t^5.824 - 3*t^6. - t^4.57/y - t^4.57*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 |
---|---|---|---|---|---|---|---|---|---|
2816 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6627 | 0.88 | 0.7531 | [M:[0.9908, 1.0276, 0.7477, 0.7477, 0.7661, 0.7661], q:[0.7477, 0.2615], qb:[0.4862, 0.4862], phi:[0.5046]] | 4*t^2.243 + 2*t^2.298 + t^2.972 + t^3.028 + 2*t^3.083 + 3*t^4.431 + 10*t^4.486 + 8*t^4.541 + 3*t^4.597 + 4*t^5.216 + 6*t^5.271 + 8*t^5.326 + 4*t^5.381 - 5*t^6. - t^4.514/y - t^4.514*y | detail |