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
60079	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$	1.4116	1.6174	0.8728	[X:[1.3068], M:[0.8665], q:[0.6401, 0.3731], qb:[0.4934, 0.4138], phi:[0.3466]]	[X:[[4]], M:[[-5]], q:[[4], [-6]], qb:[[1], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$	0	t^2.36 + 2*t^2.6 + t^3.12 + t^3.16 + t^3.4 + t^3.64 + t^3.92 + t^4.2 + 2*t^4.44 + t^4.68 + t^4.72 + 2*t^4.96 + t^5. + 3*t^5.2 + 2*t^5.24 + 2*t^5.48 + t^5.52 + 2*t^5.72 + 2*t^5.76 + t^6.04 + 2*t^6.24 + 3*t^6.28 + t^6.32 + t^6.48 + 3*t^6.52 + 2*t^6.56 + t^6.76 + 3*t^6.8 + t^6.84 + 5*t^7.04 + 3*t^7.08 + 2*t^7.28 + 4*t^7.32 + 2*t^7.36 + 5*t^7.56 + 5*t^7.6 + 3*t^7.8 + 6*t^7.84 + t^7.88 - t^8.04 + 5*t^8.08 + 3*t^8.12 + t^8.16 + 3*t^8.32 + 3*t^8.36 + 4*t^8.4 - t^8.6 + 7*t^8.64 + t^8.68 + 2*t^8.84 + 9*t^8.88 + 3*t^8.92 - t^4.04/y - t^5.08/y - t^6.4/y - (2*t^6.64)/y - t^7.16/y - t^7.2/y - t^7.44/y - (2*t^7.68)/y + (2*t^7.96)/y - t^8.24/y + t^8.52/y + t^8.72/y + (2*t^8.76)/y - t^4.04*y - t^5.08*y - t^6.4*y - 2*t^6.64*y - t^7.16*y - t^7.2*y - t^7.44*y - 2*t^7.68*y + 2*t^7.96*y - t^8.24*y + t^8.52*y + t^8.72*y + 2*t^8.76*y	g1^7*t^2.36 + (2*t^2.6)/g1^5 + t^3.12/g1^6 + g1^17*t^3.16 + g1^5*t^3.4 + t^3.64/g1^7 + g1^4*t^3.92 + g1^15*t^4.2 + 2*g1^3*t^4.44 + t^4.68/g1^9 + g1^14*t^4.72 + 2*g1^2*t^4.96 + g1^25*t^5. + (3*t^5.2)/g1^10 + 2*g1^13*t^5.24 + 2*g1*t^5.48 + g1^24*t^5.52 + (2*t^5.72)/g1^11 + 2*g1^12*t^5.76 + g1^23*t^6.04 + (2*t^6.24)/g1^12 + 3*g1^11*t^6.28 + g1^34*t^6.32 + t^6.48/g1^24 + (3*t^6.52)/g1 + 2*g1^22*t^6.56 + t^6.76/g1^13 + 3*g1^10*t^6.8 + g1^33*t^6.84 + (5*t^7.04)/g1^2 + 3*g1^21*t^7.08 + (2*t^7.28)/g1^14 + 4*g1^9*t^7.32 + 2*g1^32*t^7.36 + (5*t^7.56)/g1^3 + 5*g1^20*t^7.6 + (3*t^7.8)/g1^15 + 6*g1^8*t^7.84 + g1^31*t^7.88 - t^8.04/g1^27 + (5*t^8.08)/g1^4 + 3*g1^19*t^8.12 + g1^42*t^8.16 + (3*t^8.32)/g1^16 + 3*g1^7*t^8.36 + 4*g1^30*t^8.4 - t^8.6/g1^5 + 7*g1^18*t^8.64 + g1^41*t^8.68 + (2*t^8.84)/g1^17 + 9*g1^6*t^8.88 + 3*g1^29*t^8.92 - t^4.04/(g1^2*y) - t^5.08/(g1^4*y) - (g1^5*t^6.4)/y - (2*t^6.64)/(g1^7*y) - t^7.16/(g1^8*y) - (g1^15*t^7.2)/y - (g1^3*t^7.44)/y - (2*t^7.68)/(g1^9*y) + (2*g1^2*t^7.96)/y - (g1^13*t^8.24)/y + (g1^24*t^8.52)/y + t^8.72/(g1^11*y) + (2*g1^12*t^8.76)/y - (t^4.04*y)/g1^2 - (t^5.08*y)/g1^4 - g1^5*t^6.4*y - (2*t^6.64*y)/g1^7 - (t^7.16*y)/g1^8 - g1^15*t^7.2*y - g1^3*t^7.44*y - (2*t^7.68*y)/g1^9 + 2*g1^2*t^7.96*y - g1^13*t^8.24*y + g1^24*t^8.52*y + (t^8.72*y)/g1^11 + 2*g1^12*t^8.76*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
61162	${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{3}$	0.9347	1.0513	0.889	[X:[1.4667, 1.3333, 1.3333], M:[0.6667], q:[0.8, 0.1333], qb:[0.5333, 0.9333], phi:[0.2667]]	t^2.4 + t^2.8 + t^3.2 + 2*t^3.6 + 3*t^4. + t^4.4 + t^4.8 + 2*t^5.2 + t^5.6 - t^6. - t^3.8/y - t^4.6/y - t^3.8*y - t^4.6*y	detail	{a: 701/750, c: 1577/1500, X1: 22/15, X2: 4/3, X3: 4/3, M1: 2/3, q1: 4/5, q2: 2/15, qb1: 8/15, qb2: 14/15, phi1: 4/15}

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