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
47088	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$	0.6724	0.8509	0.7902	[M:[1.1435, 0.7153, 0.8565, 0.8094, 0.7153, 0.8094], q:[0.4047, 0.4518], qb:[0.88, 0.7388], phi:[0.3812]]	[M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-11, -13], [7, 9]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{6}$	${}\phi_{1}^{3}q_{1}q_{2}$	-1	2*t^2.146 + t^2.287 + 2*t^2.428 + t^2.569 + t^3.431 + t^3.713 + t^3.995 + 3*t^4.292 + 2*t^4.433 + 5*t^4.574 + 4*t^4.715 + 5*t^4.856 + 2*t^4.998 + t^5.139 + 2*t^5.576 + 2*t^5.859 - t^6. + 2*t^6.141 + t^6.282 + 2*t^6.424 + 4*t^6.437 + t^6.565 + 3*t^6.579 + 8*t^6.72 + 8*t^6.861 + 10*t^7.002 + 7*t^7.144 + 6*t^7.285 + 3*t^7.426 + t^7.708 + 3*t^7.722 + t^7.991 + 3*t^8.005 - 4*t^8.146 + t^8.287 - 6*t^8.428 + t^8.569 + 5*t^8.583 + 4*t^8.724 + 4*t^8.852 + 11*t^8.866 + 2*t^8.993 - t^4.144/y - (2*t^6.289)/y - t^6.431/y - (2*t^6.572)/y + t^7.292/y + (2*t^7.433)/y + (4*t^7.574)/y + (6*t^7.715)/y + (3*t^7.856)/y + (4*t^7.998)/y - (3*t^8.435)/y - (4*t^8.718)/y + (2*t^8.859)/y - t^4.144*y - 2*t^6.289*y - t^6.431*y - 2*t^6.572*y + t^7.292*y + 2*t^7.433*y + 4*t^7.574*y + 6*t^7.715*y + 3*t^7.856*y + 4*t^7.998*y - 3*t^8.435*y - 4*t^8.718*y + 2*t^8.859*y	t^2.146/(g1^11*g2^13) + g1^2*g2^4*t^2.146 + t^2.287/(g1^2*g2^2) + t^2.428/(g1^6*g2^8) + g1^7*g2^9*t^2.428 + g1^3*g2^3*t^2.569 + t^3.431/(g1^3*g2^3) + g1^2*g2^2*t^3.713 + g1^7*g2^7*t^3.995 + t^4.292/(g1^22*g2^26) + t^4.292/(g1^9*g2^9) + g1^4*g2^8*t^4.292 + t^4.433/(g1^13*g2^15) + g2^2*t^4.433 + t^4.574/(g1^17*g2^21) + (3*t^4.574)/(g1^4*g2^4) + g1^9*g2^13*t^4.574 + (2*t^4.715)/(g1^8*g2^10) + 2*g1^5*g2^7*t^4.715 + t^4.856/(g1^12*g2^16) + 3*g1*g2*t^4.856 + g1^14*g2^18*t^4.856 + t^4.998/(g1^3*g2^5) + g1^10*g2^12*t^4.998 + g1^6*g2^6*t^5.139 + t^5.576/(g1^14*g2^16) + (g2*t^5.576)/g1 + t^5.859/(g1^9*g2^11) + g1^4*g2^6*t^5.859 - t^6. + t^6.141/(g1^4*g2^6) + g1^9*g2^11*t^6.141 + g1^5*g2^5*t^6.282 + (g1*t^6.424)/g2 + g1^14*g2^16*t^6.424 + t^6.437/(g1^33*g2^39) + t^6.437/(g1^20*g2^22) + t^6.437/(g1^7*g2^5) + g1^6*g2^12*t^6.437 + g1^10*g2^10*t^6.565 + t^6.579/(g1^24*g2^28) + t^6.579/(g1^11*g2^11) + g1^2*g2^6*t^6.579 + (3*t^6.72)/g1^2 + t^6.72/(g1^28*g2^34) + (3*t^6.72)/(g1^15*g2^17) + g1^11*g2^17*t^6.72 + (2*t^6.861)/(g1^19*g2^23) + (4*t^6.861)/(g1^6*g2^6) + 2*g1^7*g2^11*t^6.861 + t^7.002/(g1^23*g2^29) + (4*t^7.002)/(g1^10*g2^12) + 4*g1^3*g2^5*t^7.002 + g1^16*g2^22*t^7.002 + (2*t^7.144)/(g1^14*g2^18) + (3*t^7.144)/(g1*g2) + 2*g1^12*g2^16*t^7.144 + t^7.285/(g1^18*g2^24) + (2*t^7.285)/(g1^5*g2^7) + 2*g1^8*g2^10*t^7.285 + g1^21*g2^27*t^7.285 + t^7.426/(g1^9*g2^13) + g1^4*g2^4*t^7.426 + g1^17*g2^21*t^7.426 + g1^9*g2^9*t^7.708 + t^7.722/(g1^25*g2^29) + t^7.722/(g1^12*g2^12) + g1*g2^5*t^7.722 + g1^14*g2^14*t^7.991 + t^8.005/(g1^20*g2^24) + t^8.005/(g1^7*g2^7) + g1^6*g2^10*t^8.005 - (2*t^8.146)/(g1^11*g2^13) - 2*g1^2*g2^4*t^8.146 + t^8.287/(g1^15*g2^19) - t^8.287/(g1^2*g2^2) + g1^11*g2^15*t^8.287 - (3*t^8.428)/(g1^6*g2^8) - 3*g1^7*g2^9*t^8.428 + t^8.569/(g1^10*g2^14) - g1^3*g2^3*t^8.569 + g1^16*g2^20*t^8.569 + t^8.583/(g1^44*g2^52) + t^8.583/(g1^31*g2^35) + t^8.583/(g1^18*g2^18) + t^8.583/(g1^5*g2) + g1^8*g2^16*t^8.583 + t^8.724/(g1^35*g2^41) + t^8.724/(g1^22*g2^24) + t^8.724/(g1^9*g2^7) + g1^4*g2^10*t^8.724 + t^8.852/(g1^5*g2^9) + 2*g1^8*g2^8*t^8.852 + g1^21*g2^25*t^8.852 + t^8.866/(g1^39*g2^47) + (3*t^8.866)/(g1^26*g2^30) + (3*t^8.866)/(g1^13*g2^13) + 3*g2^4*t^8.866 + g1^13*g2^21*t^8.866 + g1^4*g2^2*t^8.993 + g1^17*g2^19*t^8.993 - t^4.144/(g1*g2*y) - t^6.289/(g1^12*g2^14*y) - (g1*g2^3*t^6.289)/y - t^6.431/(g1^3*g2^3*y) - t^6.572/(g1^7*g2^9*y) - (g1^6*g2^8*t^6.572)/y + t^7.292/(g1^9*g2^9*y) + t^7.433/(g1^13*g2^15*y) + (g2^2*t^7.433)/y + t^7.574/(g1^17*g2^21*y) + (2*t^7.574)/(g1^4*g2^4*y) + (g1^9*g2^13*t^7.574)/y + (3*t^7.715)/(g1^8*g2^10*y) + (3*g1^5*g2^7*t^7.715)/y + (3*g1*g2*t^7.856)/y + (2*t^7.998)/(g1^3*g2^5*y) + (2*g1^10*g2^12*t^7.998)/y - t^8.435/(g1^23*g2^27*y) - t^8.435/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.435)/y - t^8.718/(g1^18*g2^22*y) - (2*t^8.718)/(g1^5*g2^5*y) - (g1^8*g2^12*t^8.718)/y + t^8.859/(g1^9*g2^11*y) + (g1^4*g2^6*t^8.859)/y - (t^4.144*y)/(g1*g2) - (t^6.289*y)/(g1^12*g2^14) - g1*g2^3*t^6.289*y - (t^6.431*y)/(g1^3*g2^3) - (t^6.572*y)/(g1^7*g2^9) - g1^6*g2^8*t^6.572*y + (t^7.292*y)/(g1^9*g2^9) + (t^7.433*y)/(g1^13*g2^15) + g2^2*t^7.433*y + (t^7.574*y)/(g1^17*g2^21) + (2*t^7.574*y)/(g1^4*g2^4) + g1^9*g2^13*t^7.574*y + (3*t^7.715*y)/(g1^8*g2^10) + 3*g1^5*g2^7*t^7.715*y + 3*g1*g2*t^7.856*y + (2*t^7.998*y)/(g1^3*g2^5) + 2*g1^10*g2^12*t^7.998*y - (t^8.435*y)/(g1^23*g2^27) - (t^8.435*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.435*y - (t^8.718*y)/(g1^18*g2^22) - (2*t^8.718*y)/(g1^5*g2^5) - g1^8*g2^12*t^8.718*y + (t^8.859*y)/(g1^9*g2^11) + g1^4*g2^6*t^8.859*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
55638	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$	0.691	0.8849	0.7809	[M:[1.1385, 0.7077, 0.8615, 0.8103, 0.7077, 0.8103, 0.759], q:[0.4051, 0.4564], qb:[0.8871, 0.7334], phi:[0.3795]]	2*t^2.123 + 2*t^2.277 + 2*t^2.431 + t^2.585 + t^3.415 + t^4.031 + 3*t^4.246 + 4*t^4.4 + 7*t^4.554 + 6*t^4.708 + 6*t^4.862 + 2*t^5.015 + t^5.169 + 2*t^5.539 + t^5.692 - 2*t^6. - t^4.138/y - t^4.138*y	detail
50756	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.6654	0.8413	0.7909	[M:[1.1857, 0.8143, 0.8143, 0.7667, 0.7428, 0.8381], q:[0.3833, 0.431], qb:[0.8024, 0.8024], phi:[0.3952]]	t^2.229 + t^2.3 + t^2.371 + 2*t^2.443 + t^2.514 + t^3.557 + t^3.629 + t^3.7 + t^4.457 + t^4.528 + 2*t^4.6 + 3*t^4.671 + 4*t^4.743 + 4*t^4.814 + 4*t^4.886 + 2*t^4.957 + t^5.029 + t^5.786 + t^5.857 + t^5.929 + t^6. - t^4.186/y - t^4.186*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
46786	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$	0.6572	0.8255	0.7962	[M:[1.1417, 0.7369, 0.8583, 0.7854, 0.6882], q:[0.3927, 0.4656], qb:[0.8704, 0.749], phi:[0.3806]]	t^2.065 + t^2.211 + t^2.283 + t^2.356 + t^2.575 + t^3.425 + t^3.498 + t^3.717 + t^4.008 + t^4.129 + t^4.275 + t^4.348 + 2*t^4.421 + t^4.494 + 2*t^4.567 + 2*t^4.64 + t^4.712 + t^4.786 + 2*t^4.858 + t^4.931 + t^5.15 + t^5.49 + t^5.562 + t^5.636 + t^5.708 + 2*t^5.781 + t^5.854 - t^6. - t^4.142/y - t^4.142*y	detail