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
55616	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$	0.705	0.8667	0.8134	[M:[1.0012, 0.858, 0.9988, 1.0358, 1.0704, 0.9296, 0.9296], q:[0.5352, 0.4636], qb:[0.6068, 0.466], phi:[0.4821]]	[M:[[4, 12], [-20, 4], [-4, -12], [6, 2], [8, -8], [-8, 8], [-8, 8]], q:[[4, -4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-3, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$	${}$	-3	t^2.574 + 2*t^2.789 + t^2.996 + t^3.004 + t^3.107 + t^3.218 + t^4.228 + t^4.235 + t^4.242 + t^4.443 + t^4.45 + 2*t^4.658 + t^4.665 + t^4.872 + t^5.087 + t^5.148 + 2*t^5.363 + 3*t^5.578 + t^5.681 + 2*t^5.792 + 2*t^5.896 - 3*t^6. + 2*t^6.007 + t^6.104 + t^6.111 - t^6.208 - t^6.215 + t^6.222 + t^6.326 - t^6.422 - t^6.43 + t^6.437 + t^6.802 + t^6.809 + t^6.816 + 2*t^7.017 + 2*t^7.024 + 2*t^7.031 + t^7.224 + 3*t^7.231 + 3*t^7.239 + t^7.246 + 3*t^7.446 + 2*t^7.454 + t^7.461 + 2*t^7.661 + t^7.668 + t^7.722 - t^7.869 + 2*t^7.876 + t^7.883 + 2*t^7.937 + t^8.091 + 3*t^8.152 + t^8.255 + t^8.306 - t^8.359 + 4*t^8.366 + t^8.456 + t^8.463 + 3*t^8.47 + t^8.477 + t^8.485 - t^8.567 - 4*t^8.574 + 2*t^8.581 + t^8.671 + t^8.678 + 4*t^8.685 + t^8.692 - 2*t^8.782 - 8*t^8.789 + 2*t^8.796 + 2*t^8.885 + 2*t^8.893 + 4*t^8.9 + t^8.907 - 5*t^8.996 - t^4.446/y - t^7.02/y - t^7.235/y + t^7.658/y + t^7.872/y + (2*t^8.363)/y + t^8.57/y + (2*t^8.578)/y + t^8.681/y + (2*t^8.785)/y + (3*t^8.792)/y + (2*t^8.896)/y - t^4.446*y - t^7.02*y - t^7.235*y + t^7.658*y + t^7.872*y + 2*t^8.363*y + t^8.57*y + 2*t^8.578*y + t^8.681*y + 2*t^8.785*y + 3*t^8.792*y + 2*t^8.896*y	(g2^4*t^2.574)/g1^20 + (2*g2^8*t^2.789)/g1^8 + t^2.996/(g1^4*g2^12) + g1^4*g2^12*t^3.004 + g1^6*g2^2*t^3.107 + g1^16*g2^16*t^3.218 + t^4.228/(g1^19*g2^17) + (g2^7*t^4.235)/g1^11 + (g2^31*t^4.242)/g1^3 + t^4.443/(g1^7*g2^13) + g1*g2^11*t^4.45 + (2*g1^5*t^4.658)/g2^9 + g1^13*g2^15*t^4.665 + (g1^17*t^4.872)/g2^5 + (g1^29*t^5.087)/g2 + (g2^8*t^5.148)/g1^40 + (2*g2^12*t^5.363)/g1^28 + (3*g2^16*t^5.578)/g1^16 + (g2^6*t^5.681)/g1^14 + (2*g2^20*t^5.792)/g1^4 + (2*g2^10*t^5.896)/g1^2 - 3*t^6. + 2*g1^8*g2^24*t^6.007 + (g1^2*t^6.104)/g2^10 + g1^10*g2^14*t^6.111 - (g1^4*t^6.208)/g2^20 - g1^12*g2^4*t^6.215 + g1^20*g2^28*t^6.222 + g1^22*g2^18*t^6.326 - (g1^16*t^6.422)/g2^16 - g1^24*g2^8*t^6.43 + g1^32*g2^32*t^6.437 + t^6.802/(g1^39*g2^13) + (g2^11*t^6.809)/g1^31 + (g2^35*t^6.816)/g1^23 + (2*t^7.017)/(g1^27*g2^9) + (2*g2^15*t^7.024)/g1^19 + (2*g2^39*t^7.031)/g1^11 + t^7.224/(g1^23*g2^29) + (3*t^7.231)/(g1^15*g2^5) + (3*g2^19*t^7.239)/g1^7 + g1*g2^43*t^7.246 + (3*t^7.446)/(g1^3*g2) + 2*g1^5*g2^23*t^7.454 + g1^13*g2^47*t^7.461 + 2*g1^9*g2^3*t^7.661 + g1^17*g2^27*t^7.668 + (g2^12*t^7.722)/g1^60 - (g1^13*t^7.869)/g2^17 + 2*g1^21*g2^7*t^7.876 + g1^29*g2^31*t^7.883 + (2*g2^16*t^7.937)/g1^48 + g1^33*g2^11*t^8.091 + (3*g2^20*t^8.152)/g1^36 + (g2^10*t^8.255)/g1^34 + g1^45*g2^15*t^8.306 - t^8.359/g1^32 + (4*g2^24*t^8.366)/g1^24 + t^8.456/(g1^38*g2^34) + t^8.463/(g1^30*g2^10) + (3*g2^14*t^8.47)/g1^22 + (g2^38*t^8.477)/g1^14 + (g2^62*t^8.485)/g1^6 - t^8.567/(g1^28*g2^20) - (4*g2^4*t^8.574)/g1^20 + (2*g2^28*t^8.581)/g1^12 + t^8.671/(g1^26*g2^30) + t^8.678/(g1^18*g2^6) + (4*g2^18*t^8.685)/g1^10 + (g2^42*t^8.692)/g1^2 - (2*t^8.782)/(g1^16*g2^16) - (8*g2^8*t^8.789)/g1^8 + 2*g2^32*t^8.796 + (2*t^8.885)/(g1^14*g2^26) + (2*t^8.893)/(g1^6*g2^2) + 4*g1^2*g2^22*t^8.9 + g1^10*g2^46*t^8.907 - (5*t^8.996)/(g1^4*g2^12) - t^4.446/(g1^3*g2*y) - (g2^3*t^7.02)/(g1^23*y) - (g2^7*t^7.235)/(g1^11*y) + (g1^5*t^7.658)/(g2^9*y) + (g1^17*t^7.872)/(g2^5*y) + (2*g2^12*t^8.363)/(g1^28*y) + t^8.57/(g1^24*g2^8*y) + (2*g2^16*t^8.578)/(g1^16*y) + (g2^6*t^8.681)/(g1^14*y) + (2*t^8.785)/(g1^12*g2^4*y) + (3*g2^20*t^8.792)/(g1^4*y) + (2*g2^10*t^8.896)/(g1^2*y) - (t^4.446*y)/(g1^3*g2) - (g2^3*t^7.02*y)/g1^23 - (g2^7*t^7.235*y)/g1^11 + (g1^5*t^7.658*y)/g2^9 + (g1^17*t^7.872*y)/g2^5 + (2*g2^12*t^8.363*y)/g1^28 + (t^8.57*y)/(g1^24*g2^8) + (2*g2^16*t^8.578*y)/g1^16 + (g2^6*t^8.681*y)/g1^14 + (2*t^8.785*y)/(g1^12*g2^4) + (3*g2^20*t^8.792*y)/g1^4 + (2*g2^10*t^8.896*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
57260	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{8}$	0.7062	0.8675	0.8141	[M:[1.0244, 0.8572, 0.9756, 1.0418, 1.0592, 0.9408, 0.9408, 0.9756], q:[0.5296, 0.446], qb:[0.6132, 0.4948], phi:[0.4791]]	t^2.572 + 2*t^2.822 + 2*t^2.927 + t^3.125 + t^3.324 + t^4.113 + t^4.26 + t^4.364 + t^4.406 + t^4.511 + 2*t^4.615 + t^4.761 + t^4.866 + t^5.116 + t^5.143 + 2*t^5.394 + t^5.498 + 2*t^5.645 + t^5.697 + 2*t^5.749 + 2*t^5.854 + 2*t^5.948 - 4*t^6. - t^4.437/y - t^4.437*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
47286	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$	0.6995	0.856	0.8172	[M:[1.0123, 0.8913, 0.9877, 1.0302, 1.0482, 0.9518], q:[0.5241, 0.4636], qb:[0.5846, 0.4881], phi:[0.4849]]	t^2.674 + t^2.855 + t^2.963 + t^3.037 + t^3.091 + t^3.145 + t^3.218 + t^4.236 + t^4.31 + t^4.383 + t^4.418 + t^4.491 + 2*t^4.599 + t^4.673 + t^4.781 + t^4.962 + t^5.348 + t^5.529 + t^5.711 + t^5.765 + t^5.892 + t^5.946 - 2*t^6. - t^4.455/y - t^4.455*y	detail