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
849	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.6327	0.8272	0.7649	[M:[0.963, 1.1111, 1.037, 0.8889, 0.7407, 0.7407], q:[0.7407, 0.2963], qb:[0.4444, 0.4444], phi:[0.5185]]	[M:[[4, 4], [-12, -12], [-4, -4], [12, 12], [-5, 7], [7, -5]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2	{a: 205/324, c: 67/81, M1: 26/27, M2: 10/9, M3: 28/27, M4: 8/9, M5: 20/27, M6: 20/27, q1: 20/27, q2: 8/27, qb1: 4/9, qb2: 4/9, phi1: 14/27}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$	-5	4*t^2.222 + t^2.667 + 2*t^3.111 + t^3.333 + 2*t^3.556 + 3*t^4.222 + 10*t^4.444 + 4*t^4.889 + 9*t^5.333 + 2*t^5.556 + 9*t^5.778 - 5*t^6. + 3*t^6.222 + 10*t^6.444 + 21*t^6.667 + t^6.889 + 8*t^7.111 + t^7.333 + 19*t^7.556 + 6*t^7.778 + 19*t^8. - 22*t^8.222 + 18*t^8.444 + 13*t^8.667 + 39*t^8.889 - t^4.556/y - (2*t^6.778)/y + (7*t^7.444)/y - t^7.667/y + (4*t^7.889)/y + (10*t^8.333)/y + (4*t^8.556)/y + (10*t^8.778)/y - t^4.556*y - 2*t^6.778*y + 7*t^7.444*y - t^7.667*y + 4*t^7.889*y + 10*t^8.333*y + 4*t^8.556*y + 10*t^8.778*y	(2*g1^7*t^2.222)/g2^5 + (2*g2^7*t^2.222)/g1^5 + g1^12*g2^12*t^2.667 + (2*t^3.111)/(g1^4*g2^4) + t^3.333/(g1^12*g2^12) + g1^13*g2*t^3.556 + g1*g2^13*t^3.556 + (g1^22*t^4.222)/g2^2 + g1^10*g2^10*t^4.222 + (g2^22*t^4.222)/g1^2 + (3*g1^14*t^4.444)/g2^10 + 4*g1^2*g2^2*t^4.444 + (3*g2^14*t^4.444)/g1^10 + 2*g1^19*g2^7*t^4.889 + 2*g1^7*g2^19*t^4.889 + (4*g1^3*t^5.333)/g2^9 + (4*g2^3*t^5.333)/g1^9 + g1^24*g2^24*t^5.333 + t^5.556/(g1^5*g2^17) + t^5.556/(g1^17*g2^5) + (2*g1^20*t^5.778)/g2^4 + 5*g1^8*g2^8*t^5.778 + (2*g2^20*t^5.778)/g1^4 - 3*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + t^6.222/(g1^8*g2^8) + g1^25*g2^13*t^6.222 + g1^13*g2^25*t^6.222 + (2*t^6.444)/(g1^16*g2^16) + (2*g1^29*t^6.444)/g2^7 + 2*g1^17*g2^5*t^6.444 + 2*g1^5*g2^17*t^6.444 + (2*g2^29*t^6.444)/g1^7 + t^6.667/(g1^24*g2^24) + (4*g1^21*t^6.667)/g2^15 + (6*g1^9*t^6.667)/g2^3 + (6*g2^9*t^6.667)/g1^3 + (4*g2^21*t^6.667)/g1^15 - (g1*t^6.889)/g2^11 - (g2*t^6.889)/g1^11 + g1^34*g2^10*t^6.889 + g1^22*g2^22*t^6.889 + g1^10*g2^34*t^6.889 - t^7.111/(g1^7*g2^19) - t^7.111/(g1^19*g2^7) + 3*g1^26*g2^2*t^7.111 + 4*g1^14*g2^14*t^7.111 + 3*g1^2*g2^26*t^7.111 + (g1^18*t^7.333)/g2^6 - g1^6*g2^6*t^7.333 + (g2^18*t^7.333)/g1^6 + (5*g1^10*t^7.556)/g2^14 + (5*t^7.556)/(g1^2*g2^2) + (5*g2^10*t^7.556)/g1^14 + 2*g1^31*g2^19*t^7.556 + 2*g1^19*g2^31*t^7.556 + (g1^2*t^7.778)/g2^22 + (g1^35*t^7.778)/g2 + (g2^2*t^7.778)/g1^22 + g1^23*g2^11*t^7.778 + g1^11*g2^23*t^7.778 + (g2^35*t^7.778)/g1 + (3*g1^27*t^8.)/g2^9 + 6*g1^15*g2^3*t^8. + 6*g1^3*g2^15*t^8. + (3*g2^27*t^8.)/g1^9 + g1^36*g2^36*t^8. - (2*g1^19*t^8.222)/g2^17 - (9*g1^7*t^8.222)/g2^5 - (9*g2^7*t^8.222)/g1^5 - (2*g2^19*t^8.222)/g1^17 + (2*t^8.444)/(g1*g2^13) + (g1^44*t^8.444)/g2^4 + (2*t^8.444)/(g1^13*g2) + 3*g1^32*g2^8*t^8.444 + 6*g1^20*g2^20*t^8.444 + 3*g1^8*g2^32*t^8.444 + (g2^44*t^8.444)/g1^4 + 2*g1^24*t^8.667 + (2*t^8.667)/(g1^9*g2^21) + (3*g1^36*t^8.667)/g2^12 + (2*t^8.667)/(g1^21*g2^9) - g1^12*g2^12*t^8.667 + 2*g2^24*t^8.667 + (3*g2^36*t^8.667)/g1^12 + t^8.889/(g1^17*g2^29) + (5*g1^28*t^8.889)/g2^20 + t^8.889/(g1^29*g2^17) + (8*g1^16*t^8.889)/g2^8 + 9*g1^4*g2^4*t^8.889 + (8*g2^16*t^8.889)/g1^8 + g1^37*g2^25*t^8.889 + (5*g2^28*t^8.889)/g1^20 + g1^25*g2^37*t^8.889 - t^4.556/(g1^2*g2^2*y) - (g1^5*t^6.778)/(g2^7*y) - (g2^5*t^6.778)/(g1^7*y) + (g1^14*t^7.444)/(g2^10*y) + (5*g1^2*g2^2*t^7.444)/y + (g2^14*t^7.444)/(g1^10*y) - t^7.667/(g1^6*g2^6*y) + (2*g1^19*g2^7*t^7.889)/y + (2*g1^7*g2^19*t^7.889)/y + (5*g1^3*t^8.333)/(g2^9*y) + (5*g2^3*t^8.333)/(g1^9*y) + (2*t^8.556)/(g1^5*g2^17*y) + (2*t^8.556)/(g1^17*g2^5*y) + (2*g1^20*t^8.778)/(g2^4*y) + (6*g1^8*g2^8*t^8.778)/y + (2*g2^20*t^8.778)/(g1^4*y) - (t^4.556*y)/(g1^2*g2^2) - (g1^5*t^6.778*y)/g2^7 - (g2^5*t^6.778*y)/g1^7 + (g1^14*t^7.444*y)/g2^10 + 5*g1^2*g2^2*t^7.444*y + (g2^14*t^7.444*y)/g1^10 - (t^7.667*y)/(g1^6*g2^6) + 2*g1^19*g2^7*t^7.889*y + 2*g1^7*g2^19*t^7.889*y + (5*g1^3*t^8.333*y)/g2^9 + (5*g2^3*t^8.333*y)/g1^9 + (2*t^8.556*y)/(g1^5*g2^17) + (2*t^8.556*y)/(g1^17*g2^5) + (2*g1^20*t^8.778*y)/g2^4 + 6*g1^8*g2^8*t^8.778*y + (2*g2^20*t^8.778*y)/g1^4

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
2047	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6491	0.8553	0.7589	[M:[0.9707, 1.0879, 1.0293, 0.9121, 0.7303, 0.755, 0.7889], q:[0.7427, 0.2866], qb:[0.4684, 0.4437], phi:[0.5146]]	2*t^2.191 + 2*t^2.265 + t^2.367 + t^2.736 + 2*t^3.088 + t^3.264 + t^3.559 + t^4.206 + t^4.28 + t^4.354 + 3*t^4.382 + 4*t^4.456 + 3*t^4.53 + 2*t^4.558 + 2*t^4.632 + t^4.733 + 2*t^4.927 + 2*t^5.001 + t^5.103 + 4*t^5.279 + 4*t^5.353 + 3*t^5.455 + t^5.473 + t^5.529 + t^5.63 + 2*t^5.75 + 3*t^5.824 - 3*t^6. - t^4.544/y - t^4.544*y	detail
2046	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	0.6304	0.823	0.766	[M:[0.9729, 1.0814, 1.0271, 0.9186, 0.7704, 0.7161], q:[0.7432, 0.2839], qb:[0.4322, 0.4864], phi:[0.5136]]	2*t^2.148 + 2*t^2.311 + t^2.756 + 2*t^3.081 + t^3.244 + t^3.526 + t^3.689 + t^4.134 + 4*t^4.296 + 5*t^4.459 + 3*t^4.622 + 2*t^4.904 + 2*t^5.067 + 4*t^5.23 + 5*t^5.392 + t^5.512 + t^5.555 + 2*t^5.674 + 4*t^5.837 - t^6. - t^4.541/y - t^4.541*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
541	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$	0.6135	0.7921	0.7745	[M:[0.9638, 1.1086, 1.0362, 0.8914, 0.7321], q:[0.7409, 0.2953], qb:[0.4546, 0.4368], phi:[0.5181]]	2*t^2.196 + t^2.249 + t^2.674 + 2*t^3.109 + t^3.326 + t^3.533 + t^3.587 + t^3.751 + t^4.175 + t^4.228 + t^4.282 + 3*t^4.392 + 2*t^4.446 + t^4.499 + 2*t^4.87 + t^4.924 + 4*t^5.305 + t^5.348 + 2*t^5.358 + t^5.522 + 2*t^5.73 + 4*t^5.783 + t^5.836 + t^5.947 - 2*t^6. - t^4.554/y - t^4.554*y	detail