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
2966	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$	0.6583	0.8285	0.7947	[X:[1.4934], M:[0.7848, 0.937, 1.2152, 0.5066, 0.7848, 0.7086], q:[0.4305, 0.7848], qb:[0.3543, 0.7086], phi:[0.4305]]	[X:[[7]], M:[[1], [-9], [-1], [-7], [1], [6]], q:[[-2], [1]], qb:[[3], [6]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$	${}M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	1	t^2.126 + 2*t^2.354 + t^2.583 + t^2.811 + 3*t^3.417 + t^3.646 + t^4.252 + 4*t^4.48 + 5*t^4.709 + 2*t^4.937 + 2*t^5.165 + t^5.394 + 4*t^5.543 + t^5.622 + 6*t^5.772 + t^6. + t^6.378 + 4*t^6.606 + 11*t^6.835 + 6*t^7.063 + t^7.291 + 3*t^7.52 + 4*t^7.669 + 3*t^7.748 + 11*t^7.898 + 2*t^7.977 + 8*t^8.126 + t^8.205 - 5*t^8.354 + t^8.433 + t^8.504 - 3*t^8.583 + 4*t^8.732 - 2*t^8.811 + 14*t^8.96 - t^4.291/y - t^6.417/y - t^6.646/y - t^6.874/y - t^7.102/y + (3*t^7.48)/y + (3*t^7.709)/y + (4*t^7.937)/y + (3*t^8.165)/y + t^8.394/y + (2*t^8.543)/y + (6*t^8.772)/y - t^4.291*y - t^6.417*y - t^6.646*y - t^6.874*y - t^7.102*y + 3*t^7.48*y + 3*t^7.709*y + 4*t^7.937*y + 3*t^8.165*y + t^8.394*y + 2*t^8.543*y + 6*t^8.772*y	g1^6*t^2.126 + 2*g1*t^2.354 + t^2.583/g1^4 + t^2.811/g1^9 + 3*g1^4*t^3.417 + t^3.646/g1 + g1^12*t^4.252 + 4*g1^7*t^4.48 + 5*g1^2*t^4.709 + (2*t^4.937)/g1^3 + (2*t^5.165)/g1^8 + t^5.394/g1^13 + 4*g1^10*t^5.543 + t^5.622/g1^18 + 6*g1^5*t^5.772 + t^6. + g1^18*t^6.378 + 4*g1^13*t^6.606 + 11*g1^8*t^6.835 + 6*g1^3*t^7.063 + t^7.291/g1^2 + (3*t^7.52)/g1^7 + 4*g1^16*t^7.669 + (3*t^7.748)/g1^12 + 11*g1^11*t^7.898 + (2*t^7.977)/g1^17 + 8*g1^6*t^8.126 + t^8.205/g1^22 - 5*g1*t^8.354 + t^8.433/g1^27 + g1^24*t^8.504 - (3*t^8.583)/g1^4 + 4*g1^19*t^8.732 - (2*t^8.811)/g1^9 + 14*g1^14*t^8.96 - t^4.291/(g1^2*y) - (g1^4*t^6.417)/y - t^6.646/(g1*y) - t^6.874/(g1^6*y) - t^7.102/(g1^11*y) + (3*g1^7*t^7.48)/y + (3*g1^2*t^7.709)/y + (4*t^7.937)/(g1^3*y) + (3*t^8.165)/(g1^8*y) + t^8.394/(g1^13*y) + (2*g1^10*t^8.543)/y + (6*g1^5*t^8.772)/y - (t^4.291*y)/g1^2 - g1^4*t^6.417*y - (t^6.646*y)/g1 - (t^6.874*y)/g1^6 - (t^7.102*y)/g1^11 + 3*g1^7*t^7.48*y + 3*g1^2*t^7.709*y + (4*t^7.937*y)/g1^3 + (3*t^8.165*y)/g1^8 + (t^8.394*y)/g1^13 + 2*g1^10*t^8.543*y + 6*g1^5*t^8.772*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
3562	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$	0.5039	0.5977	0.8431	[X:[1.8333, 1.5, 1.3333], M:[0.8333, 0.5, 1.1667, 0.1667, 0.8333, 1.0], q:[0.3333, 0.8333], qb:[0.5, 1.0], phi:[0.3333]]	2*t^2.5 + t^3. + t^3.5 + 3*t^4. + 3*t^5. - t^4./y - t^4.*y	detail	{a: 129/256, c: 153/256, X1: 11/6, X2: 3/2, X3: 4/3, M1: 5/6, M2: 1/2, M3: 7/6, M4: 1/6, M5: 5/6, M6: 1, q1: 1/3, q2: 5/6, qb1: 1/2, qb2: 1, phi1: 1/3}
3563	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}^{2}$	0.6466	0.8103	0.7979	[X:[1.4713], M:[0.7816, 0.9655, 1.2184, 0.5287, 0.7816, 0.6897, 1.1264], q:[0.4368, 0.7816], qb:[0.3448, 0.6897], phi:[0.4368]]	t^2.069 + 2*t^2.345 + t^2.897 + 4*t^3.379 + t^3.655 + t^4.138 + 4*t^4.414 + 4*t^4.69 + t^5.241 + 5*t^5.448 + 8*t^5.724 + t^5.793 - 2*t^6. - t^4.31/y - t^4.31*y	detail	{a: 75/116, c: 47/58, X1: 128/87, M1: 68/87, M2: 28/29, M3: 106/87, M4: 46/87, M5: 68/87, M6: 20/29, M7: 98/87, q1: 38/87, q2: 68/87, qb1: 10/29, qb2: 20/29, phi1: 38/87}

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
1932	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$	0.6381	0.7898	0.8079	[X:[1.5044], M:[0.7863, 0.9229, 1.2137, 0.4956, 0.7863], q:[0.4273, 0.7863], qb:[0.359, 0.7181], phi:[0.4273]]	2*t^2.359 + t^2.564 + t^2.769 + 3*t^3.436 + t^3.641 + t^3.846 + 2*t^4.513 + 4*t^4.718 + t^4.923 + 2*t^5.128 + t^5.332 + t^5.537 + t^5.59 + 5*t^5.795 + t^6. - t^4.282/y - t^4.282*y	detail