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
60095	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$	1.4	1.5947	0.8779	[X:[1.3491], M:[0.79], q:[0.6667, 0.3412], qb:[0.4961, 0.5434], phi:[0.3254]]	[X:[[4]], M:[[-11]], q:[[0], [2]], qb:[[-1], [11]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{1}\tilde{q}_{1}$	${}\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$	1	t^2.37 + t^2.51 + t^2.65 + t^2.93 + 2*t^3.49 + t^3.63 + t^4.05 + 2*t^4.46 + 2*t^4.61 + t^4.74 + t^4.88 + 2*t^5.02 + t^5.17 + t^5.3 + t^5.31 + 2*t^5.44 + 3*t^5.58 + t^5.72 + 2*t^5.86 + t^6. + 2*t^6.14 + t^6.28 + 3*t^6.42 + 3*t^6.56 + 2*t^6.7 + t^6.83 + 5*t^6.98 + t^7.11 + 4*t^7.12 + t^7.25 + 3*t^7.26 + 3*t^7.39 + 4*t^7.54 + t^7.67 + 3*t^7.68 + t^7.81 + 2*t^7.82 + 6*t^7.95 + t^7.96 + 7*t^8.09 + 2*t^8.23 + 5*t^8.24 + t^8.38 + 2*t^8.51 + 2*t^8.65 + 3*t^8.79 + 2*t^8.8 + 7*t^8.93 + t^8.94 + t^8.93/y^2 - t^3.98/y - t^4.95/y - t^6.35/y - t^6.49/y - t^6.63/y - t^6.91/y - t^7.32/y - (2*t^7.46)/y - t^7.61/y + t^8.02/y + t^8.17/y + t^8.3/y - t^8.44/y - t^8.72/y + t^8.86/y - t^3.98*y - t^4.95*y - t^6.35*y - t^6.49*y - t^6.63*y - t^6.91*y - t^7.32*y - 2*t^7.46*y - t^7.61*y + t^8.02*y + t^8.17*y + t^8.3*y - t^8.44*y - t^8.72*y + t^8.86*y + t^8.93*y^2	t^2.37/g1^11 + g1*t^2.51 + g1^13*t^2.65 + t^2.93/g1^6 + (2*t^3.49)/g1 + g1^11*t^3.63 + g1^4*t^4.05 + (2*t^4.46)/g1^3 + 2*g1^9*t^4.61 + t^4.74/g1^22 + t^4.88/g1^10 + 2*g1^2*t^5.02 + g1^14*t^5.17 + t^5.3/g1^17 + g1^26*t^5.31 + (2*t^5.44)/g1^5 + 3*g1^7*t^5.58 + g1^19*t^5.72 + (2*t^5.86)/g1^12 + t^6. + 2*g1^12*t^6.14 + g1^24*t^6.28 + (3*t^6.42)/g1^7 + 3*g1^5*t^6.56 + 2*g1^17*t^6.7 + t^6.83/g1^14 + (5*t^6.98)/g1^2 + t^7.11/g1^33 + 4*g1^10*t^7.12 + t^7.25/g1^21 + 3*g1^22*t^7.26 + (3*t^7.39)/g1^9 + 4*g1^3*t^7.54 + t^7.67/g1^28 + 3*g1^15*t^7.68 + t^7.81/g1^16 + 2*g1^27*t^7.82 + (6*t^7.95)/g1^4 + g1^39*t^7.96 + 7*g1^8*t^8.09 + (2*t^8.23)/g1^23 + 5*g1^20*t^8.24 + g1^32*t^8.38 + 2*g1*t^8.51 + 2*g1^13*t^8.65 + (3*t^8.79)/g1^18 + 2*g1^25*t^8.8 + (7*t^8.93)/g1^6 + g1^37*t^8.94 + t^8.93/(g1^6*y^2) - t^3.98/(g1^2*y) - t^4.95/(g1^4*y) - t^6.35/(g1^13*y) - t^6.49/(g1*y) - (g1^11*t^6.63)/y - t^6.91/(g1^8*y) - t^7.32/(g1^15*y) - (2*t^7.46)/(g1^3*y) - (g1^9*t^7.61)/y + (g1^2*t^8.02)/y + (g1^14*t^8.17)/y + t^8.3/(g1^17*y) - t^8.44/(g1^5*y) - t^8.72/(g1^24*y) + t^8.86/(g1^12*y) - (t^3.98*y)/g1^2 - (t^4.95*y)/g1^4 - (t^6.35*y)/g1^13 - (t^6.49*y)/g1 - g1^11*t^6.63*y - (t^6.91*y)/g1^8 - (t^7.32*y)/g1^15 - (2*t^7.46*y)/g1^3 - g1^9*t^7.61*y + g1^2*t^8.02*y + g1^14*t^8.17*y + (t^8.3*y)/g1^17 - (t^8.44*y)/g1^5 - (t^8.72*y)/g1^24 + (t^8.86*y)/g1^12 + (t^8.93*y^2)/g1^6

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
61033	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	1.4176	1.6252	0.8722	[X:[1.3552], M:[0.7731, 0.7731], q:[0.6667, 0.3443], qb:[0.4945, 0.5602], phi:[0.3224]]	2*t^2.32 + t^2.52 + t^2.71 + t^2.9 + 2*t^3.48 + t^4.07 + 2*t^4.45 + 3*t^4.64 + 2*t^4.65 + 2*t^4.84 + 3*t^5.03 + 2*t^5.22 + t^5.23 + 2*t^5.42 + t^5.43 + 3*t^5.61 + 4*t^5.8 + t^5.81 - t^3.97/y - t^4.93/y - t^3.97*y - t^4.93*y	detail
61253	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{6}$	1.3971	1.5951	0.8759	[X:[1.3333], M:[0.8333], q:[0.6667, 0.3333], qb:[0.5, 0.5], phi:[0.3333]]	3*t^2.5 + t^3. + 3*t^3.5 + t^4. + 4*t^4.5 + 6*t^5. + 7*t^5.5 + 6*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail	{a: 1073/768, c: 1225/768, X1: 4/3, M1: 5/6, q1: 2/3, q2: 1/3, qb1: 1/2, qb2: 1/2, phi1: 1/3}

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
57694	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$	1.4624	1.6668	0.8773	[X:[1.3429], M:[0.6714], q:[0.5762, 0.519], qb:[0.4524, 0.481], phi:[0.3286]]	t^2.01 + t^2.91 + t^2.96 + t^3. + t^3.09 + t^3.17 + t^3.9 + 2*t^4.03 + t^4.07 + t^4.16 + t^4.89 + t^4.93 + 2*t^4.97 + t^5.01 + t^5.06 + t^5.1 + 2*t^5.14 + t^5.19 + t^5.23 + t^5.83 + t^5.87 + 2*t^5.91 + t^5.96 - t^6. - t^3.99/y - t^4.97/y - t^6./y - t^3.99*y - t^4.97*y - t^6.*y	detail