Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
998	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$	0.6952	0.8535	0.8145	[M:[1.0461, 0.9368, 1.0086, 0.9743, 1.0257, 0.9539], q:[0.4855, 0.4684], qb:[0.5059, 0.5572], phi:[0.4957]]	[M:[[16, 8], [-12, -12], [-2, 2], [6, -6], [-6, 6], [-16, -8]], q:[[-10, -2], [-6, -6]], qb:[[12, 0], [0, 12]], phi:[[1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.81 + t^2.862 + t^2.923 + t^2.974 + t^3.026 + t^3.077 + t^3.128 + t^4.298 + t^4.349 + t^4.4 + t^4.41 + t^4.462 + t^4.523 + t^4.564 + t^4.615 + t^4.677 + t^4.831 + t^5.621 + t^5.672 + t^5.724 + t^5.785 + 2*t^5.836 + t^5.887 + t^5.897 + t^5.939 + t^5.949 + t^5.99 - 2*t^6. + t^6.051 - t^6.061 + 2*t^6.103 - t^6.113 + t^6.154 + t^6.205 - t^6.215 + t^6.257 - t^6.266 + t^7.108 + 2*t^7.159 + 2*t^7.211 + t^7.221 + t^7.262 + 2*t^7.272 + 2*t^7.323 + t^7.333 + 2*t^7.375 + 2*t^7.385 + 2*t^7.426 + t^7.446 + 2*t^7.477 - t^7.487 + t^7.497 + t^7.529 + t^7.538 - t^7.548 + t^7.59 + t^7.641 + t^7.651 + 2*t^7.692 - t^7.702 + t^7.744 + t^7.805 + t^7.908 + t^7.959 + t^8.431 + t^8.483 + t^8.534 + t^8.585 + t^8.595 + 3*t^8.647 + 3*t^8.698 + t^8.708 + 2*t^8.749 + t^8.759 + 2*t^8.801 - 2*t^8.81 + t^8.82 + t^8.852 - 2*t^8.862 + t^8.872 + t^8.913 - 2*t^8.923 + t^8.933 + 3*t^8.964 - 3*t^8.974 - t^4.487/y - t^7.298/y + t^7.677/y + t^8.672/y + t^8.734/y + (2*t^8.785)/y + (2*t^8.836)/y + (2*t^8.887)/y + t^8.897/y + (2*t^8.939)/y + t^8.949/y + t^8.99/y - t^4.487*y - t^7.298*y + t^7.677*y + t^8.672*y + t^8.734*y + 2*t^8.785*y + 2*t^8.836*y + 2*t^8.887*y + t^8.897*y + 2*t^8.939*y + t^8.949*y + t^8.99*y	t^2.81/(g1^12*g2^12) + t^2.862/(g1^16*g2^8) + (g1^6*t^2.923)/g2^6 + (g1^2*t^2.974)/g2^2 + (g2^2*t^3.026)/g1^2 + (g2^6*t^3.077)/g1^6 + (g2^10*t^3.128)/g1^10 + t^4.298/(g1^11*g2^13) + t^4.349/(g1^15*g2^9) + t^4.4/(g1^19*g2^5) + (g1^7*t^4.41)/g2^7 + (g1^3*t^4.462)/g2^3 + (g1^25*t^4.523)/g2 + (g2^5*t^4.564)/g1^5 + (g2^9*t^4.615)/g1^9 + g1^13*g2^11*t^4.677 + g1*g2^23*t^4.831 + t^5.621/(g1^24*g2^24) + t^5.672/(g1^28*g2^20) + t^5.724/(g1^32*g2^16) + t^5.785/(g1^10*g2^14) + (2*t^5.836)/(g1^14*g2^10) + t^5.887/(g1^18*g2^6) + (g1^8*t^5.897)/g2^8 + t^5.939/(g1^22*g2^2) + (g1^4*t^5.949)/g2^4 + (g2^2*t^5.99)/g1^26 - 2*t^6. + (g2^4*t^6.051)/g1^4 - g1^22*g2^2*t^6.061 + (2*g2^8*t^6.103)/g1^8 - g1^18*g2^6*t^6.113 + (g2^12*t^6.154)/g1^12 + (g2^16*t^6.205)/g1^16 - g1^10*g2^14*t^6.215 + (g2^20*t^6.257)/g1^20 - g1^6*g2^18*t^6.266 + t^7.108/(g1^23*g2^25) + (2*t^7.159)/(g1^27*g2^21) + (2*t^7.211)/(g1^31*g2^17) + t^7.221/(g1^5*g2^19) + t^7.262/(g1^35*g2^13) + (2*t^7.272)/(g1^9*g2^15) + (2*t^7.323)/(g1^13*g2^11) + (g1^13*t^7.333)/g2^13 + (2*t^7.375)/(g1^17*g2^7) + (2*g1^9*t^7.385)/g2^9 + (2*t^7.426)/(g1^21*g2^3) + (g1^31*t^7.446)/g2^7 + (2*g2*t^7.477)/g1^25 - (g1*t^7.487)/g2 + (g1^27*t^7.497)/g2^3 + (g2^5*t^7.529)/g1^29 + (g2^3*t^7.538)/g1^3 - g1^23*g2*t^7.548 + (g2^7*t^7.59)/g1^7 + (g2^11*t^7.641)/g1^11 + g1^15*g2^9*t^7.651 + (2*g2^15*t^7.692)/g1^15 - g1^11*g2^13*t^7.702 + (g2^19*t^7.744)/g1^19 + g1^3*g2^21*t^7.805 + (g2^29*t^7.908)/g1^5 + (g2^33*t^7.959)/g1^9 + t^8.431/(g1^36*g2^36) + t^8.483/(g1^40*g2^32) + t^8.534/(g1^44*g2^28) + t^8.585/(g1^48*g2^24) + t^8.595/(g1^22*g2^26) + (3*t^8.647)/(g1^26*g2^22) + (3*t^8.698)/(g1^30*g2^18) + t^8.708/(g1^4*g2^20) + (2*t^8.749)/(g1^34*g2^14) + t^8.759/(g1^8*g2^16) + (2*t^8.801)/(g1^38*g2^10) - (2*t^8.81)/(g1^12*g2^12) + (g1^14*t^8.82)/g2^14 + t^8.852/(g1^42*g2^6) - (2*t^8.862)/(g1^16*g2^8) + (g1^10*t^8.872)/g2^10 + t^8.913/(g1^20*g2^4) - (2*g1^6*t^8.923)/g2^6 + (g1^32*t^8.933)/g2^8 + (3*t^8.964)/g1^24 - (3*g1^2*t^8.974)/g2^2 - (g1*t^4.487)/(g2*y) - t^7.298/(g1^11*g2^13*y) + (g1^13*g2^11*t^7.677)/y + t^8.672/(g1^28*g2^20*y) + t^8.734/(g1^6*g2^18*y) + (2*t^8.785)/(g1^10*g2^14*y) + (2*t^8.836)/(g1^14*g2^10*y) + (2*t^8.887)/(g1^18*g2^6*y) + (g1^8*t^8.897)/(g2^8*y) + (2*t^8.939)/(g1^22*g2^2*y) + (g1^4*t^8.949)/(g2^4*y) + (g2^2*t^8.99)/(g1^26*y) - (g1*t^4.487*y)/g2 - (t^7.298*y)/(g1^11*g2^13) + g1^13*g2^11*t^7.677*y + (t^8.672*y)/(g1^28*g2^20) + (t^8.734*y)/(g1^6*g2^18) + (2*t^8.785*y)/(g1^10*g2^14) + (2*t^8.836*y)/(g1^14*g2^10) + (2*t^8.887*y)/(g1^18*g2^6) + (g1^8*t^8.897*y)/g2^8 + (2*t^8.939*y)/(g1^22*g2^2) + (g1^4*t^8.949*y)/g2^4 + (g2^2*t^8.99*y)/g1^26

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
1577	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$	0.6961	0.8548	0.8144	[M:[1.0437, 0.9337, 1.0113, 0.966, 1.034, 0.9563, 0.9887], q:[0.4895, 0.4668], qb:[0.4992, 0.5672], phi:[0.4943]]	t^2.801 + t^2.869 + t^2.898 + 2*t^2.966 + t^3.102 + t^3.17 + t^4.284 + t^4.352 + t^4.381 + t^4.42 + t^4.449 + t^4.478 + t^4.585 + t^4.653 + t^4.682 + t^4.886 + t^5.602 + t^5.67 + t^5.738 + 2*t^5.767 + 2*t^5.835 + 2*t^5.864 + 2*t^5.932 + t^5.971 - 3*t^6. - t^4.483/y - t^4.483*y	detail
1576	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$	0.6945	0.8529	0.8143	[M:[1.0485, 0.9399, 1.0058, 0.9826, 1.0174, 0.9515, 1.0058], q:[0.4815, 0.4699], qb:[0.5127, 0.5474], phi:[0.4971]]	t^2.82 + t^2.854 + t^2.948 + 2*t^3.017 + t^3.052 + t^3.087 + t^4.311 + t^4.346 + t^4.38 + t^4.439 + t^4.474 + t^4.543 + t^4.567 + t^4.578 + t^4.672 + t^4.776 + t^5.639 + t^5.674 + t^5.709 + 2*t^5.837 + 2*t^5.872 + t^5.907 + t^5.941 + t^5.965 - 3*t^6. - t^4.491/y - t^4.491*y	detail
2111	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$	0.6123	0.7909	0.7741	[M:[1.2873, 0.8072, 0.9527, 1.1418, 0.8582, 0.7127], q:[0.3091, 0.4036], qb:[0.7382, 0.4546], phi:[0.5236]]	t^2.138 + t^2.291 + t^2.422 + t^2.575 + t^2.858 + t^3.142 + 2*t^3.425 + t^3.709 + t^3.862 + t^3.992 + t^4.146 + t^4.276 + t^4.299 + t^4.429 + t^4.56 + t^4.582 + 2*t^4.713 + t^4.843 + t^4.866 + 2*t^4.996 + 2*t^5.149 + 2*t^5.28 + 2*t^5.433 + 2*t^5.563 + 2*t^5.716 + 2*t^5.847 + t^6. - t^4.571/y - t^4.571*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

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

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
612	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$	0.6935	0.8487	0.8171	[M:[0.99, 0.9882, 1.0109, 0.9673, 1.0327], q:[0.5159, 0.4941], qb:[0.4732, 0.5386], phi:[0.4946]]	t^2.902 + t^2.964 + t^2.967 + t^2.97 + t^3.033 + t^3.098 + t^3.163 + t^4.323 + t^4.386 + t^4.448 + t^4.451 + t^4.514 + t^4.519 + t^4.579 + t^4.582 + t^4.647 + t^4.715 + t^5.869 + t^5.929 + 2*t^5.935 + t^5.94 + t^5.997 - 2*t^6. - t^4.484/y - t^4.484*y	detail